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Nuclear Energy Density Functional for Heavy Ion Collisions and
Neutron Stars
Young-Min Kim (UNIST)
in collaboration with
S. Jeon (McGill Univ.), Y. Kim (IBS), M. K. Kim, Chang-Hwan Lee (Pusan Nat’l Univ.),
Kyujin Kwak (UNIST), Yeunhwan Lim (Texas A&M), Chang Ho Hyun (Daegu Univ.), H. Gil (KNU)
1
CHEA-20190116 @ 경주
Motivation - Neutron Star
2
Phenomena:GW, XRB, etc.
Compositions?Interactions?
[Credit: NSF/LIGO/Sonoma State University/A. Simonnet]
CHEA-20190116 @ 경주
Gandolfi and Steiner (2016)
Motivation - Nuclear Symmetry Energy
3
CHEA-20190116 @ 경주
Motivation - Nuclear Symmetry Energy
4taken from Myungkuk Kim’s KPS slides
중이온활용과제 연차 워크샵@ 2018.12.20
Symmetry Energy from GW observation
5PhysRevLett.119.161101
GW170817
[D] Y.Lim and J. Holt, PRL.121.062701 (arXiv:1803.02803v2)
(isospin-asymmetry energy slope parameter)
Abbott et al. (LSC and Virgo), PhysRevLett.121.161101
CHEA-20190116 @ 경주
Connections to RAON/LAMPS and LIGO
6
RAON/LAMPS
DJBUU: HIC simulation,pion production
Astrophysical Phenomena: GW (LIGO)
Nuclear Symmetry Energy
CHEA-20190116 @ 경주
Nuclear Symmetry Energy
Theoretical Connections
7
Skyrme force: KIDS
DJBUU: HIC simulation,
pion production, etc.
GW Obs. : NS tidal deformability
RMF: σ-ω-ρ model
CHEA-20190116 @ 경주
Nuclear Symmetry Energy
Theoretical Connections
7
Skyrme force: KIDS
DJBUU: HIC simulation,
pion production, etc.
GW Obs. : NS tidal deformability
RMF: σ-ω-ρ model
CHEA-20190116 @ 경주
Nuclear Symmetry Energy
Theoretical Connections
7
Skyrme force: KIDS
DJBUU: HIC simulation,
pion production, etc.
GW Obs. : NS tidal deformability
RMF: σ-ω-ρ model
CHEA-20190116 @ 경주
KIDS (Korea: IBS-Daegu-Sungkyunkwan)
8
at zero temperature
Phys. Rev. C 97, 014312 (2018)
ci(�) = ↵i + �i�2
<latexit sha1_base64="WLSAqUkwbe0jQKN+Wpj/Uee//I0=">AAACE3icbZDJSgNBEIZ74h63qEcvjUFwgTATBL0IohePEUwUMjHU9NSYxp6F7hohhLyDF1/FiwdFvHrx5tvYWQ5qLGj4+P8qqusPMiUNue6XU5ianpmdm18oLi4tr6yW1tYbJs21wLpIVaqvAzCoZIJ1kqTwOtMIcaDwKrg7G/hX96iNTJNL6mbYiuE2kZEUQFZql/ZEW/IdP0RFsMuPuQ8q64DV9rkfIA1oZN5U26WyW3GHxSfBG0OZjavWLn36YSryGBMSCoxpem5GrR5okkJhv+jnBjMQd3CLTYsJxGhaveFNfb5tlZBHqbYvIT5Uf070IDamGwe2MwbqmL/eQPzPa+YUHbV6MslywkSMFkW54pTyQUA8lBoFqa4FEFrav3LRAQ2CbIxFG4L39+RJaFQrnlvxLg7KJ6fjOObZJttiO8xjh+yEnbMaqzPBHtgTe2GvzqPz7Lw576PWgjOe2WC/yvn4BsmMnDk=</latexit><latexit sha1_base64="WLSAqUkwbe0jQKN+Wpj/Uee//I0=">AAACE3icbZDJSgNBEIZ74h63qEcvjUFwgTATBL0IohePEUwUMjHU9NSYxp6F7hohhLyDF1/FiwdFvHrx5tvYWQ5qLGj4+P8qqusPMiUNue6XU5ianpmdm18oLi4tr6yW1tYbJs21wLpIVaqvAzCoZIJ1kqTwOtMIcaDwKrg7G/hX96iNTJNL6mbYiuE2kZEUQFZql/ZEW/IdP0RFsMuPuQ8q64DV9rkfIA1oZN5U26WyW3GHxSfBG0OZjavWLn36YSryGBMSCoxpem5GrR5okkJhv+jnBjMQd3CLTYsJxGhaveFNfb5tlZBHqbYvIT5Uf070IDamGwe2MwbqmL/eQPzPa+YUHbV6MslywkSMFkW54pTyQUA8lBoFqa4FEFrav3LRAQ2CbIxFG4L39+RJaFQrnlvxLg7KJ6fjOObZJttiO8xjh+yEnbMaqzPBHtgTe2GvzqPz7Lw576PWgjOe2WC/yvn4BsmMnDk=</latexit><latexit sha1_base64="WLSAqUkwbe0jQKN+Wpj/Uee//I0=">AAACE3icbZDJSgNBEIZ74h63qEcvjUFwgTATBL0IohePEUwUMjHU9NSYxp6F7hohhLyDF1/FiwdFvHrx5tvYWQ5qLGj4+P8qqusPMiUNue6XU5ianpmdm18oLi4tr6yW1tYbJs21wLpIVaqvAzCoZIJ1kqTwOtMIcaDwKrg7G/hX96iNTJNL6mbYiuE2kZEUQFZql/ZEW/IdP0RFsMuPuQ8q64DV9rkfIA1oZN5U26WyW3GHxSfBG0OZjavWLn36YSryGBMSCoxpem5GrR5okkJhv+jnBjMQd3CLTYsJxGhaveFNfb5tlZBHqbYvIT5Uf070IDamGwe2MwbqmL/eQPzPa+YUHbV6MslywkSMFkW54pTyQUA8lBoFqa4FEFrav3LRAQ2CbIxFG4L39+RJaFQrnlvxLg7KJ6fjOObZJttiO8xjh+yEnbMaqzPBHtgTe2GvzqPz7Lw576PWgjOe2WC/yvn4BsmMnDk=</latexit><latexit sha1_base64="WLSAqUkwbe0jQKN+Wpj/Uee//I0=">AAACE3icbZDJSgNBEIZ74h63qEcvjUFwgTATBL0IohePEUwUMjHU9NSYxp6F7hohhLyDF1/FiwdFvHrx5tvYWQ5qLGj4+P8qqusPMiUNue6XU5ianpmdm18oLi4tr6yW1tYbJs21wLpIVaqvAzCoZIJ1kqTwOtMIcaDwKrg7G/hX96iNTJNL6mbYiuE2kZEUQFZql/ZEW/IdP0RFsMuPuQ8q64DV9rkfIA1oZN5U26WyW3GHxSfBG0OZjavWLn36YSryGBMSCoxpem5GrR5okkJhv+jnBjMQd3CLTYsJxGhaveFNfb5tlZBHqbYvIT5Uf070IDamGwe2MwbqmL/eQPzPa+YUHbV6MslywkSMFkW54pTyQUA8lBoFqa4FEFrav3LRAQ2CbIxFG4L39+RJaFQrnlvxLg7KJ6fjOObZJttiO8xjh+yEnbMaqzPBHtgTe2GvzqPz7Lw576PWgjOe2WC/yvn4BsmMnDk=</latexit>
E(⇢, �) = E(⇢, �)
A= T (⇢, �) + ⌃N�1
i=0 ci(�)⇢1+i/3
<latexit sha1_base64="xvJ75uNSqMJLhlJg0FIi6rugQVo=">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</latexit><latexit sha1_base64="xvJ75uNSqMJLhlJg0FIi6rugQVo=">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</latexit><latexit sha1_base64="xvJ75uNSqMJLhlJg0FIi6rugQVo=">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</latexit><latexit sha1_base64="xvJ75uNSqMJLhlJg0FIi6rugQVo=">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</latexit>
KIDS Energy density functional form
kF = (3⇡2⇢/2)1/3<latexit sha1_base64="ZirpBCPxNTMk+Q3RGBRvey3B8jY=">AAACBHicbVDLSsNAFJ34rPUVddnNYBHqpk1aQTdCURCXFewDmjRMptN26GQSZiZCCVm48VfcuFDErR/hzr9x2mahrQcuHM65l3vv8SNGpbKsb2NldW19YzO3ld/e2d3bNw8OWzKMBSZNHLJQdHwkCaOcNBVVjHQiQVDgM9L2x9dTv/1AhKQhv1eTiLgBGnI6oBgpLXlmYewlN+llqeZEtFeFjhiFleppL7ErtdQzi1bZmgEuEzsjRZCh4ZlfTj/EcUC4wgxJ2bWtSLkJEopiRtK8E0sSITxGQ9LVlKOASDeZPZHCE6304SAUuriCM/X3RIICKSeBrzsDpEZy0ZuK/3ndWA0u3ITyKFaE4/miQcygCuE0EdingmDFJpogLKi+FeIREggrnVteh2AvvrxMWtWybZXtu7Ni/SqLIwcK4BiUgA3OQR3cggZoAgwewTN4BW/Gk/FivBsf89YVI5s5An9gfP4A7vuWVg==</latexit><latexit sha1_base64="ZirpBCPxNTMk+Q3RGBRvey3B8jY=">AAACBHicbVDLSsNAFJ34rPUVddnNYBHqpk1aQTdCURCXFewDmjRMptN26GQSZiZCCVm48VfcuFDErR/hzr9x2mahrQcuHM65l3vv8SNGpbKsb2NldW19YzO3ld/e2d3bNw8OWzKMBSZNHLJQdHwkCaOcNBVVjHQiQVDgM9L2x9dTv/1AhKQhv1eTiLgBGnI6oBgpLXlmYewlN+llqeZEtFeFjhiFleppL7ErtdQzi1bZmgEuEzsjRZCh4ZlfTj/EcUC4wgxJ2bWtSLkJEopiRtK8E0sSITxGQ9LVlKOASDeZPZHCE6304SAUuriCM/X3RIICKSeBrzsDpEZy0ZuK/3ndWA0u3ITyKFaE4/miQcygCuE0EdingmDFJpogLKi+FeIREggrnVteh2AvvrxMWtWybZXtu7Ni/SqLIwcK4BiUgA3OQR3cggZoAgwewTN4BW/Gk/FivBsf89YVI5s5An9gfP4A7vuWVg==</latexit><latexit sha1_base64="ZirpBCPxNTMk+Q3RGBRvey3B8jY=">AAACBHicbVDLSsNAFJ34rPUVddnNYBHqpk1aQTdCURCXFewDmjRMptN26GQSZiZCCVm48VfcuFDErR/hzr9x2mahrQcuHM65l3vv8SNGpbKsb2NldW19YzO3ld/e2d3bNw8OWzKMBSZNHLJQdHwkCaOcNBVVjHQiQVDgM9L2x9dTv/1AhKQhv1eTiLgBGnI6oBgpLXlmYewlN+llqeZEtFeFjhiFleppL7ErtdQzi1bZmgEuEzsjRZCh4ZlfTj/EcUC4wgxJ2bWtSLkJEopiRtK8E0sSITxGQ9LVlKOASDeZPZHCE6304SAUuriCM/X3RIICKSeBrzsDpEZy0ZuK/3ndWA0u3ITyKFaE4/miQcygCuE0EdingmDFJpogLKi+FeIREggrnVteh2AvvrxMWtWybZXtu7Ni/SqLIwcK4BiUgA3OQR3cggZoAgwewTN4BW/Gk/FivBsf89YVI5s5An9gfP4A7vuWVg==</latexit><latexit sha1_base64="ZirpBCPxNTMk+Q3RGBRvey3B8jY=">AAACBHicbVDLSsNAFJ34rPUVddnNYBHqpk1aQTdCURCXFewDmjRMptN26GQSZiZCCVm48VfcuFDErR/hzr9x2mahrQcuHM65l3vv8SNGpbKsb2NldW19YzO3ld/e2d3bNw8OWzKMBSZNHLJQdHwkCaOcNBVVjHQiQVDgM9L2x9dTv/1AhKQhv1eTiLgBGnI6oBgpLXlmYewlN+llqeZEtFeFjhiFleppL7ErtdQzi1bZmgEuEzsjRZCh4ZlfTj/EcUC4wgxJ2bWtSLkJEopiRtK8E0sSITxGQ9LVlKOASDeZPZHCE6304SAUuriCM/X3RIICKSeBrzsDpEZy0ZuK/3ndWA0u3ITyKFaE4/miQcygCuE0EdingmDFJpogLKi+FeIREggrnVteh2AvvrxMWtWybZXtu7Ni/SqLIwcK4BiUgA3OQR3cggZoAgwewTN4BW/Gk/FivBsf89YVI5s5An9gfP4A7vuWVg==</latexit>
to be determined by fitting to the observables
kF⌧ = kF (1 + ⌧�)1/3<latexit sha1_base64="IVhAraebw7M0DYBqivOdaMosuFw=">AAACEHicbVDLSgMxFM3UV62vqks3wSJWhDqjgm6EoiAuK9gHtHXIZDJtaOZBckcow3yCG3/FjQtF3Lp059+YabvQ1gOBc8+5l5t7nEhwBab5beTm5hcWl/LLhZXVtfWN4uZWQ4WxpKxOQxHKlkMUEzxgdeAgWCuSjPiOYE1ncJX5zQcmFQ+DOxhGrOuTXsA9TgloyS7uD+zk2k46QOI0vciKtGwdZiXuuEwAObhPrKOT1C6WzIo5Ap4l1oSU0AQ1u/jVcUMa+ywAKohSbcuMoJsQCZwKlhY6sWIRoQPSY21NA+Iz1U1GB6V4Tysu9kKpXwB4pP6eSIiv1NB3dKdPoK+mvUz8z2vH4J13Ex5EMbCAjhd5scAQ4iwd7HLJKIihJoRKrv+KaZ9IQkFnWNAhWNMnz5LGccUyK9btaal6OYkjj3bQLiojC52hKrpBNVRHFD2iZ/SK3own48V4Nz7GrTljMrON/sD4/AGOUJw9</latexit><latexit sha1_base64="IVhAraebw7M0DYBqivOdaMosuFw=">AAACEHicbVDLSgMxFM3UV62vqks3wSJWhDqjgm6EoiAuK9gHtHXIZDJtaOZBckcow3yCG3/FjQtF3Lp059+YabvQ1gOBc8+5l5t7nEhwBab5beTm5hcWl/LLhZXVtfWN4uZWQ4WxpKxOQxHKlkMUEzxgdeAgWCuSjPiOYE1ncJX5zQcmFQ+DOxhGrOuTXsA9TgloyS7uD+zk2k46QOI0vciKtGwdZiXuuEwAObhPrKOT1C6WzIo5Ap4l1oSU0AQ1u/jVcUMa+ywAKohSbcuMoJsQCZwKlhY6sWIRoQPSY21NA+Iz1U1GB6V4Tysu9kKpXwB4pP6eSIiv1NB3dKdPoK+mvUz8z2vH4J13Ex5EMbCAjhd5scAQ4iwd7HLJKIihJoRKrv+KaZ9IQkFnWNAhWNMnz5LGccUyK9btaal6OYkjj3bQLiojC52hKrpBNVRHFD2iZ/SK3own48V4Nz7GrTljMrON/sD4/AGOUJw9</latexit><latexit sha1_base64="IVhAraebw7M0DYBqivOdaMosuFw=">AAACEHicbVDLSgMxFM3UV62vqks3wSJWhDqjgm6EoiAuK9gHtHXIZDJtaOZBckcow3yCG3/FjQtF3Lp059+YabvQ1gOBc8+5l5t7nEhwBab5beTm5hcWl/LLhZXVtfWN4uZWQ4WxpKxOQxHKlkMUEzxgdeAgWCuSjPiOYE1ncJX5zQcmFQ+DOxhGrOuTXsA9TgloyS7uD+zk2k46QOI0vciKtGwdZiXuuEwAObhPrKOT1C6WzIo5Ap4l1oSU0AQ1u/jVcUMa+ywAKohSbcuMoJsQCZwKlhY6sWIRoQPSY21NA+Iz1U1GB6V4Tysu9kKpXwB4pP6eSIiv1NB3dKdPoK+mvUz8z2vH4J13Ex5EMbCAjhd5scAQ4iwd7HLJKIihJoRKrv+KaZ9IQkFnWNAhWNMnz5LGccUyK9btaal6OYkjj3bQLiojC52hKrpBNVRHFD2iZ/SK3own48V4Nz7GrTljMrON/sD4/AGOUJw9</latexit><latexit sha1_base64="IVhAraebw7M0DYBqivOdaMosuFw=">AAACEHicbVDLSgMxFM3UV62vqks3wSJWhDqjgm6EoiAuK9gHtHXIZDJtaOZBckcow3yCG3/FjQtF3Lp059+YabvQ1gOBc8+5l5t7nEhwBab5beTm5hcWl/LLhZXVtfWN4uZWQ4WxpKxOQxHKlkMUEzxgdeAgWCuSjPiOYE1ncJX5zQcmFQ+DOxhGrOuTXsA9TgloyS7uD+zk2k46QOI0vciKtGwdZiXuuEwAObhPrKOT1C6WzIo5Ap4l1oSU0AQ1u/jVcUMa+ywAKohSbcuMoJsQCZwKlhY6sWIRoQPSY21NA+Iz1U1GB6V4Tysu9kKpXwB4pP6eSIiv1NB3dKdPoK+mvUz8z2vH4J13Ex5EMbCAjhd5scAQ4iwd7HLJKIihJoRKrv+KaZ9IQkFnWNAhWNMnz5LGccUyK9btaal6OYkjj3bQLiojC52hKrpBNVRHFD2iZ/SK3own48V4Nz7GrTljMrON/sD4/AGOUJw9</latexit>
� =⇢n � ⇢p
⇢<latexit sha1_base64="fPyXcxS7kskShT1NEZ4AAixiTzA=">AAACDHicbVDLSsNAFL3xWeur6tLNYBHcWBIRdCMU3bisYB/QhDKZTNqhk0mYmQgl5APc+CtuXCji1g9w5984TbPQ1gMDh3PO5c49fsKZ0rb9bS0tr6yurVc2qptb2zu7tb39jopTSWibxDyWPR8rypmgbc00p71EUhz5nHb98c3U7z5QqVgs7vUkoV6Eh4KFjGBtpEGt7gaUa3zlhhKTzJWjeCDQKSpIkhdCblJ2wy6AFolTkjqUaA1qX24QkzSiQhOOleo7dqK9DEvNCKd51U0VTTAZ4yHtGypwRJWXFcfk6NgoAQpjaZ7QqFB/T2Q4UmoS+SYZYT1S895U/M/rpzq89DImklRTQWaLwpQjHaNpMyhgkhLNJ4ZgIpn5KyIjbGrRpr+qKcGZP3mRdM4ajt1w7s7rzeuyjgocwhGcgAMX0IRbaEEbCDzCM7zCm/VkvVjv1scsumSVMwfwB9bnD/K2m4w=</latexit><latexit sha1_base64="fPyXcxS7kskShT1NEZ4AAixiTzA=">AAACDHicbVDLSsNAFL3xWeur6tLNYBHcWBIRdCMU3bisYB/QhDKZTNqhk0mYmQgl5APc+CtuXCji1g9w5984TbPQ1gMDh3PO5c49fsKZ0rb9bS0tr6yurVc2qptb2zu7tb39jopTSWibxDyWPR8rypmgbc00p71EUhz5nHb98c3U7z5QqVgs7vUkoV6Eh4KFjGBtpEGt7gaUa3zlhhKTzJWjeCDQKSpIkhdCblJ2wy6AFolTkjqUaA1qX24QkzSiQhOOleo7dqK9DEvNCKd51U0VTTAZ4yHtGypwRJWXFcfk6NgoAQpjaZ7QqFB/T2Q4UmoS+SYZYT1S895U/M/rpzq89DImklRTQWaLwpQjHaNpMyhgkhLNJ4ZgIpn5KyIjbGrRpr+qKcGZP3mRdM4ajt1w7s7rzeuyjgocwhGcgAMX0IRbaEEbCDzCM7zCm/VkvVjv1scsumSVMwfwB9bnD/K2m4w=</latexit><latexit sha1_base64="fPyXcxS7kskShT1NEZ4AAixiTzA=">AAACDHicbVDLSsNAFL3xWeur6tLNYBHcWBIRdCMU3bisYB/QhDKZTNqhk0mYmQgl5APc+CtuXCji1g9w5984TbPQ1gMDh3PO5c49fsKZ0rb9bS0tr6yurVc2qptb2zu7tb39jopTSWibxDyWPR8rypmgbc00p71EUhz5nHb98c3U7z5QqVgs7vUkoV6Eh4KFjGBtpEGt7gaUa3zlhhKTzJWjeCDQKSpIkhdCblJ2wy6AFolTkjqUaA1qX24QkzSiQhOOleo7dqK9DEvNCKd51U0VTTAZ4yHtGypwRJWXFcfk6NgoAQpjaZ7QqFB/T2Q4UmoS+SYZYT1S895U/M/rpzq89DImklRTQWaLwpQjHaNpMyhgkhLNJ4ZgIpn5KyIjbGrRpr+qKcGZP3mRdM4ajt1w7s7rzeuyjgocwhGcgAMX0IRbaEEbCDzCM7zCm/VkvVjv1scsumSVMwfwB9bnD/K2m4w=</latexit><latexit sha1_base64="fPyXcxS7kskShT1NEZ4AAixiTzA=">AAACDHicbVDLSsNAFL3xWeur6tLNYBHcWBIRdCMU3bisYB/QhDKZTNqhk0mYmQgl5APc+CtuXCji1g9w5984TbPQ1gMDh3PO5c49fsKZ0rb9bS0tr6yurVc2qptb2zu7tb39jopTSWibxDyWPR8rypmgbc00p71EUhz5nHb98c3U7z5QqVgs7vUkoV6Eh4KFjGBtpEGt7gaUa3zlhhKTzJWjeCDQKSpIkhdCblJ2wy6AFolTkjqUaA1qX24QkzSiQhOOleo7dqK9DEvNCKd51U0VTTAZ4yHtGypwRJWXFcfk6NgoAQpjaZ7QqFB/T2Q4UmoS+SYZYT1S895U/M/rpzq89DImklRTQWaLwpQjHaNpMyhgkhLNJ4ZgIpn5KyIjbGrRpr+qKcGZP3mRdM4ajt1w7s7rzeuyjgocwhGcgAMX0IRbaEEbCDzCM7zCm/VkvVjv1scsumSVMwfwB9bnD/K2m4w=</latexit>
CHEA-20190116 @ 경주
KIDS to Standard Skyrme parameters
9
G. Hana et al., arxiv:1805.11321
CHEA-20190116 @ 경주
Fitting to Observables for c_i(δ)
10
Ca
PHYSICAL REVIEW C 82, 024313 (2010)
CHEA-20190116 @ 경주
Selected EoSs
11
• Skyrme force models
• Basically fitted to properties of well-known nuclei
• Good saturation properties
• Mmax more than 2Msun• 11 experimental/empirical data for nuclear matter around
saturation density [Phys.Rev. C 85, 035201 (2012)]
Kim et al., PhysRevC.98.065805 (2018)
CHEA-20190116 @ 경주
KIDS for Neutron Star
12
Kim et al., PhysRevC.98.065805 (2018)
GW170817 - M1
GW170817 - M2
J0348+0432
J1614-2230
GW170817 - Abbott et al. (LSC and Virgo), arxiv:1805.11579 - Mchirp = 1.188 M⦿
- low spin prior : M1=1.36~1.60 M , M2=1.16~1.36 M
- high spin prior : M1=1.36~1.89 M , M2=1.00~1.36 M
~3.3~2.7
CHEA-20190116 @ 경주
NS tidal deformability
13
[A] F.J. Fattoyev, J. Piekarewicz, and C.J. Horowitz, PRL.120.172702 (arXiv:1711.06615v2)[B] P.G. Krastev, and B.-A. Li, arXiv:1801.04620v1[C] E. Annala, T. Gorda, A. Kurkela, and A. Vuorinen, PRL.120.172703 (arXiv:1711.02644v2)[D] Y.Lim and J. Holt, PRL.121.062701 (arXiv:1803.02803v2)
Red line: Λ(1.4M⦿) = 2.88 * 10-6 (R/km)7.5 (fitting function in [C])
Kim et al., PhysRevC.98.065805 (2018)
5 Skyrme force models satisfying 11 constraints from Dutra et al. Phys.Rev. C 85, 035201 (2012)
Abbott et al. (LSC and Virgo), PhysRevLett.121.161101 (2018)
EoS insensitive relations
CHEA-20190116 @ 경주
KIDS for Heavy Ion Collision
14
U⌧ (⇢, �) = ⌃3i=0Fi(�, ⌧)⇢
1+i/3<latexit sha1_base64="xx1/F8BWh+bP3UXRN/CewODaBhs=">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</latexit><latexit sha1_base64="xx1/F8BWh+bP3UXRN/CewODaBhs=">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</latexit><latexit sha1_base64="xx1/F8BWh+bP3UXRN/CewODaBhs=">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</latexit><latexit sha1_base64="xx1/F8BWh+bP3UXRN/CewODaBhs=">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</latexit>
Fi(�, ⌧) = ↵i(2 + i/3) + 2⌧�i� +i
3�i�
2
<latexit sha1_base64="HyA3gG99MUFYntc0j0QOxTXmFsQ=">AAACQnicbZBLSyNBFIWrfcxodMaoSzeFYSASyXTHAd0I4oC4dGDig3Rsbldum8LqB1W3hdDkt7mZXzA7f4CbWSji1oXVSRYa50DB4Xz3UlUnzJQ05Lp3zszs3PynzwuLlaXlL19XqqtrpybNtcC2SFWqz0MwqGSCbZKk8DzTCHGo8Cy8/lnysxvURqbJbxpk2I3hKpGRFEA2CqoXR4Gs+z1UBNs+Qb7F97kPKutDIHm91ZDfd7Z4g7d4CbkfIpVgvMAbfqRBFHJY7Ayn2GUrqNbcpjsS/2i8iamxiU6C6l+/l4o8xoSEAmM6nptRtwBNUigcVvzcYAbiGq6wY20CMZpuMapgyL/ZpMejVNuTEB+lbzcKiI0ZxKGdjIH6ZpqV4f9YJ6dor1vIJMsJEzG+KMoVp5SXffKe1ChIDawBoaV9Kxd9sLWQbb1iS/Cmv/zRnLaantv0fv2oHRxO6lhgG2yT1ZnHdtkBO2YnrM0Eu2X37IE9On+cf86T8zwenXEmO+vsnZyXV+9BrYo=</latexit><latexit sha1_base64="HyA3gG99MUFYntc0j0QOxTXmFsQ=">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</latexit><latexit sha1_base64="HyA3gG99MUFYntc0j0QOxTXmFsQ=">AAACQnicbZBLSyNBFIWrfcxodMaoSzeFYSASyXTHAd0I4oC4dGDig3Rsbldum8LqB1W3hdDkt7mZXzA7f4CbWSji1oXVSRYa50DB4Xz3UlUnzJQ05Lp3zszs3PynzwuLlaXlL19XqqtrpybNtcC2SFWqz0MwqGSCbZKk8DzTCHGo8Cy8/lnysxvURqbJbxpk2I3hKpGRFEA2CqoXR4Gs+z1UBNs+Qb7F97kPKutDIHm91ZDfd7Z4g7d4CbkfIpVgvMAbfqRBFHJY7Ayn2GUrqNbcpjsS/2i8iamxiU6C6l+/l4o8xoSEAmM6nptRtwBNUigcVvzcYAbiGq6wY20CMZpuMapgyL/ZpMejVNuTEB+lbzcKiI0ZxKGdjIH6ZpqV4f9YJ6dor1vIJMsJEzG+KMoVp5SXffKe1ChIDawBoaV9Kxd9sLWQbb1iS/Cmv/zRnLaantv0fv2oHRxO6lhgG2yT1ZnHdtkBO2YnrM0Eu2X37IE9On+cf86T8zwenXEmO+vsnZyXV+9BrYo=</latexit><latexit sha1_base64="HyA3gG99MUFYntc0j0QOxTXmFsQ=">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</latexit>
⌧ = 1 for neutron
�1 for proton<latexit sha1_base64="Ff1adfNuia8BxCwJr0NMDjmIujU=">AAACH3icbVDLSgNBEJyNrxhfqx69DAbFi2FXRL0IQS8eI5gHZEOYnUySIbMzy0yvEJbkS7z4K148KCLe8jdOHgeTWNBQVHXT3RXGghvwvJGTWVldW9/Ibua2tnd299z9g4pRiaasTJVQuhYSwwSXrAwcBKvFmpEoFKwa9u7HfvWZacOVfIJ+zBoR6Uje5pSAlZruVQAkwbfYx6dpoCM8bCs9xJIloJUcBEHufN6JtQJrNN28V/AmwMvEn5E8mqHUdH+ClqJJxCRQQYyp+14MjZRo4FSwQS5IDIsJ7ZEOq1sqScRMI538N8AnVmlhu9+WBDxR/06kJDKmH4W2MyLQNYveWPzPqyfQvmmkXMYJMEmni9qJwKDwOCzc4ppREH1LCNXc3oppl2hCwUaasyH4iy8vk8pFwfcK/uNlvng3iyOLjtAxOkM+ukZF9IBKqIwoekFv6AN9Oq/Ou/PlfE9bM85s5hDNwRn9AjEZoeA=</latexit><latexit sha1_base64="Ff1adfNuia8BxCwJr0NMDjmIujU=">AAACH3icbVDLSgNBEJyNrxhfqx69DAbFi2FXRL0IQS8eI5gHZEOYnUySIbMzy0yvEJbkS7z4K148KCLe8jdOHgeTWNBQVHXT3RXGghvwvJGTWVldW9/Ibua2tnd299z9g4pRiaasTJVQuhYSwwSXrAwcBKvFmpEoFKwa9u7HfvWZacOVfIJ+zBoR6Uje5pSAlZruVQAkwbfYx6dpoCM8bCs9xJIloJUcBEHufN6JtQJrNN28V/AmwMvEn5E8mqHUdH+ClqJJxCRQQYyp+14MjZRo4FSwQS5IDIsJ7ZEOq1sqScRMI538N8AnVmlhu9+WBDxR/06kJDKmH4W2MyLQNYveWPzPqyfQvmmkXMYJMEmni9qJwKDwOCzc4ppREH1LCNXc3oppl2hCwUaasyH4iy8vk8pFwfcK/uNlvng3iyOLjtAxOkM+ukZF9IBKqIwoekFv6AN9Oq/Ou/PlfE9bM85s5hDNwRn9AjEZoeA=</latexit><latexit sha1_base64="Ff1adfNuia8BxCwJr0NMDjmIujU=">AAACH3icbVDLSgNBEJyNrxhfqx69DAbFi2FXRL0IQS8eI5gHZEOYnUySIbMzy0yvEJbkS7z4K148KCLe8jdOHgeTWNBQVHXT3RXGghvwvJGTWVldW9/Ibua2tnd299z9g4pRiaasTJVQuhYSwwSXrAwcBKvFmpEoFKwa9u7HfvWZacOVfIJ+zBoR6Uje5pSAlZruVQAkwbfYx6dpoCM8bCs9xJIloJUcBEHufN6JtQJrNN28V/AmwMvEn5E8mqHUdH+ClqJJxCRQQYyp+14MjZRo4FSwQS5IDIsJ7ZEOq1sqScRMI538N8AnVmlhu9+WBDxR/06kJDKmH4W2MyLQNYveWPzPqyfQvmmkXMYJMEmni9qJwKDwOCzc4ppREH1LCNXc3oppl2hCwUaasyH4iy8vk8pFwfcK/uNlvng3iyOLjtAxOkM+ukZF9IBKqIwoekFv6AN9Oq/Ou/PlfE9bM85s5hDNwRn9AjEZoeA=</latexit><latexit sha1_base64="Ff1adfNuia8BxCwJr0NMDjmIujU=">AAACH3icbVDLSgNBEJyNrxhfqx69DAbFi2FXRL0IQS8eI5gHZEOYnUySIbMzy0yvEJbkS7z4K148KCLe8jdOHgeTWNBQVHXT3RXGghvwvJGTWVldW9/Ibua2tnd299z9g4pRiaasTJVQuhYSwwSXrAwcBKvFmpEoFKwa9u7HfvWZacOVfIJ+zBoR6Uje5pSAlZruVQAkwbfYx6dpoCM8bCs9xJIloJUcBEHufN6JtQJrNN28V/AmwMvEn5E8mqHUdH+ClqJJxCRQQYyp+14MjZRo4FSwQS5IDIsJ7ZEOq1sqScRMI538N8AnVmlhu9+WBDxR/06kJDKmH4W2MyLQNYveWPzPqyfQvmmkXMYJMEmni9qJwKDwOCzc4ppREH1LCNXc3oppl2hCwUaasyH4iy8vk8pFwfcK/uNlvng3iyOLjtAxOkM+ukZF9IBKqIwoekFv6AN9Oq/Ou/PlfE9bM85s5hDNwRn9AjEZoeA=</latexit>
ci(�) = ↵i + �i�2
<latexit sha1_base64="WLSAqUkwbe0jQKN+Wpj/Uee//I0=">AAACE3icbZDJSgNBEIZ74h63qEcvjUFwgTATBL0IohePEUwUMjHU9NSYxp6F7hohhLyDF1/FiwdFvHrx5tvYWQ5qLGj4+P8qqusPMiUNue6XU5ianpmdm18oLi4tr6yW1tYbJs21wLpIVaqvAzCoZIJ1kqTwOtMIcaDwKrg7G/hX96iNTJNL6mbYiuE2kZEUQFZql/ZEW/IdP0RFsMuPuQ8q64DV9rkfIA1oZN5U26WyW3GHxSfBG0OZjavWLn36YSryGBMSCoxpem5GrR5okkJhv+jnBjMQd3CLTYsJxGhaveFNfb5tlZBHqbYvIT5Uf070IDamGwe2MwbqmL/eQPzPa+YUHbV6MslywkSMFkW54pTyQUA8lBoFqa4FEFrav3LRAQ2CbIxFG4L39+RJaFQrnlvxLg7KJ6fjOObZJttiO8xjh+yEnbMaqzPBHtgTe2GvzqPz7Lw576PWgjOe2WC/yvn4BsmMnDk=</latexit><latexit sha1_base64="WLSAqUkwbe0jQKN+Wpj/Uee//I0=">AAACE3icbZDJSgNBEIZ74h63qEcvjUFwgTATBL0IohePEUwUMjHU9NSYxp6F7hohhLyDF1/FiwdFvHrx5tvYWQ5qLGj4+P8qqusPMiUNue6XU5ianpmdm18oLi4tr6yW1tYbJs21wLpIVaqvAzCoZIJ1kqTwOtMIcaDwKrg7G/hX96iNTJNL6mbYiuE2kZEUQFZql/ZEW/IdP0RFsMuPuQ8q64DV9rkfIA1oZN5U26WyW3GHxSfBG0OZjavWLn36YSryGBMSCoxpem5GrR5okkJhv+jnBjMQd3CLTYsJxGhaveFNfb5tlZBHqbYvIT5Uf070IDamGwe2MwbqmL/eQPzPa+YUHbV6MslywkSMFkW54pTyQUA8lBoFqa4FEFrav3LRAQ2CbIxFG4L39+RJaFQrnlvxLg7KJ6fjOObZJttiO8xjh+yEnbMaqzPBHtgTe2GvzqPz7Lw576PWgjOe2WC/yvn4BsmMnDk=</latexit><latexit sha1_base64="WLSAqUkwbe0jQKN+Wpj/Uee//I0=">AAACE3icbZDJSgNBEIZ74h63qEcvjUFwgTATBL0IohePEUwUMjHU9NSYxp6F7hohhLyDF1/FiwdFvHrx5tvYWQ5qLGj4+P8qqusPMiUNue6XU5ianpmdm18oLi4tr6yW1tYbJs21wLpIVaqvAzCoZIJ1kqTwOtMIcaDwKrg7G/hX96iNTJNL6mbYiuE2kZEUQFZql/ZEW/IdP0RFsMuPuQ8q64DV9rkfIA1oZN5U26WyW3GHxSfBG0OZjavWLn36YSryGBMSCoxpem5GrR5okkJhv+jnBjMQd3CLTYsJxGhaveFNfb5tlZBHqbYvIT5Uf070IDamGwe2MwbqmL/eQPzPa+YUHbV6MslywkSMFkW54pTyQUA8lBoFqa4FEFrav3LRAQ2CbIxFG4L39+RJaFQrnlvxLg7KJ6fjOObZJttiO8xjh+yEnbMaqzPBHtgTe2GvzqPz7Lw576PWgjOe2WC/yvn4BsmMnDk=</latexit><latexit sha1_base64="WLSAqUkwbe0jQKN+Wpj/Uee//I0=">AAACE3icbZDJSgNBEIZ74h63qEcvjUFwgTATBL0IohePEUwUMjHU9NSYxp6F7hohhLyDF1/FiwdFvHrx5tvYWQ5qLGj4+P8qqusPMiUNue6XU5ianpmdm18oLi4tr6yW1tYbJs21wLpIVaqvAzCoZIJ1kqTwOtMIcaDwKrg7G/hX96iNTJNL6mbYiuE2kZEUQFZql/ZEW/IdP0RFsMuPuQ8q64DV9rkfIA1oZN5U26WyW3GHxSfBG0OZjavWLn36YSryGBMSCoxpem5GrR5okkJhv+jnBjMQd3CLTYsJxGhaveFNfb5tlZBHqbYvIT5Uf070IDamGwe2MwbqmL/eQPzPa+YUHbV6MslywkSMFkW54pTyQUA8lBoFqa4FEFrav3LRAQ2CbIxFG4L39+RJaFQrnlvxLg7KJ6fjOObZJttiO8xjh+yEnbMaqzPBHtgTe2GvzqPz7Lw576PWgjOe2WC/yvn4BsmMnDk=</latexit>
dp⌧
dt= �rU⌧
<latexit sha1_base64="0tcxOlx9wPXQC3oTRayMfdpqNCk=">AAACGXicbVBNS8NAEN34bf2qevSyWAQvlkQEvQiiF48VrApNCJPNRhc3m7A7EUrI3/DiX/HiQRGPevLfuG1z0NYHA4/3ZpiZF+VSGHTdb2dqemZ2bn5hsbG0vLK61lzfuDJZoRnvskxm+iYCw6VQvIsCJb/JNYc0kvw6uj8b+NcPXBuRqUvs5zxI4VaJRDBAK4VN1080sDKmpR9lMqZ5FZY+QlFVZYwVPaZ7voJIAu3WethsuW13CDpJvJq0SI1O2Pz044wVKVfIJBjT89wcgxI0CiZ51fALw3Ng93DLe5YqSLkJyuFnFd2xSkyTTNtSSIfq74kSUmP6aWQ7U8A7M+4NxP+8XoHJUVAKlRfIFRstSgpJMaODmGgsNGco+5YA08LeStkd2KjQhtmwIXjjL0+Sq/2257a9i4PWyWkdxwLZIttkl3jkkJyQc9IhXcLII3kmr+TNeXJenHfnY9Q65dQzm+QPnK8fzz6gxw==</latexit><latexit sha1_base64="0tcxOlx9wPXQC3oTRayMfdpqNCk=">AAACGXicbVBNS8NAEN34bf2qevSyWAQvlkQEvQiiF48VrApNCJPNRhc3m7A7EUrI3/DiX/HiQRGPevLfuG1z0NYHA4/3ZpiZF+VSGHTdb2dqemZ2bn5hsbG0vLK61lzfuDJZoRnvskxm+iYCw6VQvIsCJb/JNYc0kvw6uj8b+NcPXBuRqUvs5zxI4VaJRDBAK4VN1080sDKmpR9lMqZ5FZY+QlFVZYwVPaZ7voJIAu3WethsuW13CDpJvJq0SI1O2Pz044wVKVfIJBjT89wcgxI0CiZ51fALw3Ng93DLe5YqSLkJyuFnFd2xSkyTTNtSSIfq74kSUmP6aWQ7U8A7M+4NxP+8XoHJUVAKlRfIFRstSgpJMaODmGgsNGco+5YA08LeStkd2KjQhtmwIXjjL0+Sq/2257a9i4PWyWkdxwLZIttkl3jkkJyQc9IhXcLII3kmr+TNeXJenHfnY9Q65dQzm+QPnK8fzz6gxw==</latexit><latexit sha1_base64="0tcxOlx9wPXQC3oTRayMfdpqNCk=">AAACGXicbVBNS8NAEN34bf2qevSyWAQvlkQEvQiiF48VrApNCJPNRhc3m7A7EUrI3/DiX/HiQRGPevLfuG1z0NYHA4/3ZpiZF+VSGHTdb2dqemZ2bn5hsbG0vLK61lzfuDJZoRnvskxm+iYCw6VQvIsCJb/JNYc0kvw6uj8b+NcPXBuRqUvs5zxI4VaJRDBAK4VN1080sDKmpR9lMqZ5FZY+QlFVZYwVPaZ7voJIAu3WethsuW13CDpJvJq0SI1O2Pz044wVKVfIJBjT89wcgxI0CiZ51fALw3Ng93DLe5YqSLkJyuFnFd2xSkyTTNtSSIfq74kSUmP6aWQ7U8A7M+4NxP+8XoHJUVAKlRfIFRstSgpJMaODmGgsNGco+5YA08LeStkd2KjQhtmwIXjjL0+Sq/2257a9i4PWyWkdxwLZIttkl3jkkJyQc9IhXcLII3kmr+TNeXJenHfnY9Q65dQzm+QPnK8fzz6gxw==</latexit><latexit sha1_base64="0tcxOlx9wPXQC3oTRayMfdpqNCk=">AAACGXicbVBNS8NAEN34bf2qevSyWAQvlkQEvQiiF48VrApNCJPNRhc3m7A7EUrI3/DiX/HiQRGPevLfuG1z0NYHA4/3ZpiZF+VSGHTdb2dqemZ2bn5hsbG0vLK61lzfuDJZoRnvskxm+iYCw6VQvIsCJb/JNYc0kvw6uj8b+NcPXBuRqUvs5zxI4VaJRDBAK4VN1080sDKmpR9lMqZ5FZY+QlFVZYwVPaZ7voJIAu3WethsuW13CDpJvJq0SI1O2Pz044wVKVfIJBjT89wcgxI0CiZ51fALw3Ng93DLe5YqSLkJyuFnFd2xSkyTTNtSSIfq74kSUmP6aWQ7U8A7M+4NxP+8XoHJUVAKlRfIFRstSgpJMaODmGgsNGco+5YA08LeStkd2KjQhtmwIXjjL0+Sq/2257a9i4PWyWkdxwLZIttkl3jkkJyQc9IhXcLII3kmr+TNeXJenHfnY9Q65dQzm+QPnK8fzz6gxw==</latexit>
E(⇢, �) = E(⇢, �)
A= T (⇢, �) + ⌃N�1
i=0 ci(�)⇢1+i/3
<latexit sha1_base64="xvJ75uNSqMJLhlJg0FIi6rugQVo=">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</latexit><latexit sha1_base64="xvJ75uNSqMJLhlJg0FIi6rugQVo=">AAACY3icbVFLSysxGM2MXh/1quNjJ0KwCBW1zqigm4IPBFcXRatCpw7fpJk2mHmQZIQa5k+6c+fG/2GmVtF6PwgczoPkOwkzzqRy3RfLHhv/MzE5NV2Z+Ts7N+8sLN7INBeENknKU3EXgqScJbSpmOL0LhMU4pDT2/DhtNRvH6mQLE2uVT+j7Ri6CYsYAWWowHnyY1A9AlyfFTVf9NItv0O5gg3cwH4kgOizH3Shj4vGV+Z6JLOJ/SvWjSHQrOEW9/rftldgErDap6F032tvk+3sFYFTdevuYPBv4A1BFQ3nInCe/U5K8pgminCQsuW5mWprEIoRTouKn0uaAXmALm0ZmEBMZVsPOirwumE6OEqFOYnCA/Z7QkMsZT8OjbPcTo5qJfk/rZWr6LCtWZLliibk46Io51iluCwcd5igRPG+AUAEM2/FpAemWWW+pWJK8EZX/g1uduueW/cu96tHJ8M6ptAKWkM15KEDdITO0QVqIoJerQlr3nKsN3vGXrSXP6y2NcwsoR9jr74DzTi1Vg==</latexit><latexit sha1_base64="xvJ75uNSqMJLhlJg0FIi6rugQVo=">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</latexit><latexit sha1_base64="xvJ75uNSqMJLhlJg0FIi6rugQVo=">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</latexit>
t(k⌧ ) + U⌧ (⇢, �) =@⇢E(⇢, �)
@⇢⌧<latexit sha1_base64="mqJHXGa5T4WGCD2qYl9GytQkk94=">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</latexit><latexit sha1_base64="mqJHXGa5T4WGCD2qYl9GytQkk94=">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</latexit><latexit sha1_base64="mqJHXGa5T4WGCD2qYl9GytQkk94=">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</latexit><latexit sha1_base64="mqJHXGa5T4WGCD2qYl9GytQkk94=">AAACUXicbVFNSyNBEK3M+rXJqtn1uJfGsJCghBkR9LIguwgeFTYmkAmhptNjmvR80F0jhGH+ogf35P/wsgfFnmQOJm5Bw+O9V9Vdr4NUSUOu+1RzPm1sbm3vfK43vuzu7Te/frs1Saa56PFEJXoQoBFKxqJHkpQYpFpgFCjRD2a/S71/L7SRSfyH5qkYRXgXy1ByJEuNm1Nqz8a5T5gVHXbEehVu+3qaHPsToQg77CfzQ40891PUJFGxUvUjpClHlV+uuotVWzWwGDdbbtddFPsIvAq0oKrrcfPRnyQ8i0RMXKExQ89NaZSXo7kSRd3PjEiRz/BODC2MMRJmlC8SKdgPy0xYmGh7YmIL9n1HjpEx8yiwznINs66V5P+0YUbh+SiXcZqRiPnyojBTjBJWxssmUgtOam4Bci3tWxmfog2P7CfUbQje+sofwe1J13O73s1p6+JXFccOfIdDaIMHZ3ABV3ANPeDwAM/wAq+1v7V/DjjO0urUqp4DWCmn8QYEgLSp</latexit>
single nucleon potential
eq. of motion for nucleons
CHEA-20190116 @ 경주
Single nucleon potential
15
U⌧ (⇢, �) = ⌃3i=0Fi(�, ⌧)⇢
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Fi(�, ⌧) = ↵i(2 + i/3) + 2⌧�i� +i
3�i�
2
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PhysRevC.98.054618 (2018)
still checking correspondence to the conventional Skyrme model
CHEA-20190116 @ 경주
Daejeon BUU (DJBUU)
16
Test particle Method
Kim et al. (2016)
197Au+197Au@ 100 MeV/u, b=7fm
RMF
Boltzmann-Uehling-Uhlenbeck (BUU) eq.
CHEA-20190116 @ 경주
Daejeon BUU (DJBUU)
16
Test particle Method
Kim et al. (2016)
197Au+197Au@ 100 MeV/u, b=7fm
RMF
Boltzmann-Uehling-Uhlenbeck (BUU) eq.
dp⌧
dt= �rU⌧
<latexit sha1_base64="0tcxOlx9wPXQC3oTRayMfdpqNCk=">AAACGXicbVBNS8NAEN34bf2qevSyWAQvlkQEvQiiF48VrApNCJPNRhc3m7A7EUrI3/DiX/HiQRGPevLfuG1z0NYHA4/3ZpiZF+VSGHTdb2dqemZ2bn5hsbG0vLK61lzfuDJZoRnvskxm+iYCw6VQvIsCJb/JNYc0kvw6uj8b+NcPXBuRqUvs5zxI4VaJRDBAK4VN1080sDKmpR9lMqZ5FZY+QlFVZYwVPaZ7voJIAu3WethsuW13CDpJvJq0SI1O2Pz044wVKVfIJBjT89wcgxI0CiZ51fALw3Ng93DLe5YqSLkJyuFnFd2xSkyTTNtSSIfq74kSUmP6aWQ7U8A7M+4NxP+8XoHJUVAKlRfIFRstSgpJMaODmGgsNGco+5YA08LeStkd2KjQhtmwIXjjL0+Sq/2257a9i4PWyWkdxwLZIttkl3jkkJyQc9IhXcLII3kmr+TNeXJenHfnY9Q65dQzm+QPnK8fzz6gxw==</latexit><latexit sha1_base64="0tcxOlx9wPXQC3oTRayMfdpqNCk=">AAACGXicbVBNS8NAEN34bf2qevSyWAQvlkQEvQiiF48VrApNCJPNRhc3m7A7EUrI3/DiX/HiQRGPevLfuG1z0NYHA4/3ZpiZF+VSGHTdb2dqemZ2bn5hsbG0vLK61lzfuDJZoRnvskxm+iYCw6VQvIsCJb/JNYc0kvw6uj8b+NcPXBuRqUvs5zxI4VaJRDBAK4VN1080sDKmpR9lMqZ5FZY+QlFVZYwVPaZ7voJIAu3WethsuW13CDpJvJq0SI1O2Pz044wVKVfIJBjT89wcgxI0CiZ51fALw3Ng93DLe5YqSLkJyuFnFd2xSkyTTNtSSIfq74kSUmP6aWQ7U8A7M+4NxP+8XoHJUVAKlRfIFRstSgpJMaODmGgsNGco+5YA08LeStkd2KjQhtmwIXjjL0+Sq/2257a9i4PWyWkdxwLZIttkl3jkkJyQc9IhXcLII3kmr+TNeXJenHfnY9Q65dQzm+QPnK8fzz6gxw==</latexit><latexit sha1_base64="0tcxOlx9wPXQC3oTRayMfdpqNCk=">AAACGXicbVBNS8NAEN34bf2qevSyWAQvlkQEvQiiF48VrApNCJPNRhc3m7A7EUrI3/DiX/HiQRGPevLfuG1z0NYHA4/3ZpiZF+VSGHTdb2dqemZ2bn5hsbG0vLK61lzfuDJZoRnvskxm+iYCw6VQvIsCJb/JNYc0kvw6uj8b+NcPXBuRqUvs5zxI4VaJRDBAK4VN1080sDKmpR9lMqZ5FZY+QlFVZYwVPaZ7voJIAu3WethsuW13CDpJvJq0SI1O2Pz044wVKVfIJBjT89wcgxI0CiZ51fALw3Ng93DLe5YqSLkJyuFnFd2xSkyTTNtSSIfq74kSUmP6aWQ7U8A7M+4NxP+8XoHJUVAKlRfIFRstSgpJMaODmGgsNGco+5YA08LeStkd2KjQhtmwIXjjL0+Sq/2257a9i4PWyWkdxwLZIttkl3jkkJyQc9IhXcLII3kmr+TNeXJenHfnY9Q65dQzm+QPnK8fzz6gxw==</latexit><latexit sha1_base64="0tcxOlx9wPXQC3oTRayMfdpqNCk=">AAACGXicbVBNS8NAEN34bf2qevSyWAQvlkQEvQiiF48VrApNCJPNRhc3m7A7EUrI3/DiX/HiQRGPevLfuG1z0NYHA4/3ZpiZF+VSGHTdb2dqemZ2bn5hsbG0vLK61lzfuDJZoRnvskxm+iYCw6VQvIsCJb/JNYc0kvw6uj8b+NcPXBuRqUvs5zxI4VaJRDBAK4VN1080sDKmpR9lMqZ5FZY+QlFVZYwVPaZ7voJIAu3WethsuW13CDpJvJq0SI1O2Pz044wVKVfIJBjT89wcgxI0CiZ51fALw3Ng93DLe5YqSLkJyuFnFd2xSkyTTNtSSIfq74kSUmP6aWQ7U8A7M+4NxP+8XoHJUVAKlRfIFRstSgpJMaODmGgsNGco+5YA08LeStkd2KjQhtmwIXjjL0+Sq/2257a9i4PWyWkdxwLZIttkl3jkkJyQc9IhXcLII3kmr+TNeXJenHfnY9Q65dQzm+QPnK8fzz6gxw==</latexit>
for KIDS
CHEA-20190116 @ 경주
Delta and Pion Production in Box
17
N + N <—> N + Δ Δ <—> Ν + π
⇡�/⇡+ ⇡ (n/p)2
= (1.5)2 = 2.25<latexit sha1_base64="tdDl17U29hopjHPbAQqjNRHY9aU=">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</latexit><latexit sha1_base64="tdDl17U29hopjHPbAQqjNRHY9aU=">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</latexit><latexit sha1_base64="tdDl17U29hopjHPbAQqjNRHY9aU=">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</latexit><latexit sha1_base64="tdDl17U29hopjHPbAQqjNRHY9aU=">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</latexit>
4.4
CHEA-20190116 @ 경주
132Sn+124Sn @ 200MeV/u
18
preliminary
CHEA-20190116 @ 경주
Summary1. Done.
- KIDS EoS application to NS mass, radius, and tidal deformability
- pion production test in DJBUU
- derivation of single nucleon potential for KIDS
2. To-Do
- Implementation of KIDS potential to DJBUU
- DJBUU runs: 40+(0,10,14)Ca+40Ca,132Sn+124Sn, … , @ 18.5~200MeV/u
a. Quantifying observable parameters
b. comparison between RMF vs. KIDS
- Code development of Bayesian analysis for KIDS
- Doing Bayesian analysis with KIDS on GWDA as well as DJBUU
19
CHEA-20190116 @ 경주
Summary (continued)1. Keep doing GW data analysis for LIGO and KAGRA
20
Thank you for your attention
21
Extra Slides
22
CHEA-20190116 @ 경주
Uncertainty of c_i(δ)
23
c_i(δ)’s are determined by fitting to the energy and charge radius of 40,42,44,46,48,50Ca with their uncertainties.
E(⇢, �) = E(⇢, �)
A= T (⇢, �) + ⌃N�1
i=0 ci(�)⇢1+i/3
<latexit sha1_base64="xvJ75uNSqMJLhlJg0FIi6rugQVo=">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</latexit><latexit sha1_base64="xvJ75uNSqMJLhlJg0FIi6rugQVo=">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</latexit><latexit sha1_base64="xvJ75uNSqMJLhlJg0FIi6rugQVo=">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</latexit><latexit sha1_base64="xvJ75uNSqMJLhlJg0FIi6rugQVo=">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</latexit>
CHEA-20190116 @ 경주
Bayesian Analysis
24
J [MeV] L [MeV] Ksym[MeV]
Ksy
m[M
eV]
L [M
eV]
CHEA-20190116 @ 경주25
2
l Possible experiment - Using 18.5 ~ 250 MeV/u RI beam through IF separtor, perform N/Z controlled heavy-ion collision experiment for studying density dependent symmetry energy of nuclear matter possible Day-1 experiment : 50,54Ca+40Ca to measure proton, neutron spectrum - Then, series of experiment for 50,54Ca+40Ca, 68,70,72Ni + 58Ni, 106,112,124,130,132Sn + 112,118,124Sn to measure particle spectrum, yield, ratio, collective flow etc. at the same time
LAMPS (Large Acceptance Multi-Purpose Spectrometer)
• Experimental data are measured with stable beams • data of pion ratio and data of n/p flow are from different experiments • Models in the market show different results even within same observable
LAMPS will provide experimental data using rare isotope beam with varying beam energies and collision systems e.g. 132Sn + 124Sn → measure n/p ratio & flow at the same time
provided by Y. Kim.
CHEA-20190116 @ 경주
Constraints on Nuclear EoS
26
• Nuclear data: hundreds of models (Skyrme force, RMF, …)• Neutron star maximum mass
1.97 ± 0.04 M⦿ [Nature 467, 1081 (2010)]
2.01 ± 0.04 M⦿ [Science 340, 448 (2013)]
• 11 experimental/empirical data for nuclear matter around saturation density [Phys.Rev. C 85, 035201 (2012)]
16/240 Skyrme force models satisfy 11 constraints.
27
G. Hana et al., arxiv:1805.11321
CHEA-20190116 @ 경주
Standard Skyrme effective interaction
28
2nd order derivative
N1LO Skyrme pseudopotential
CHEA-20190116 @ 경주
BUU type Transport simulation
29
RMF
Boltzmann-Uehling-Uhlenbeck (BUU) eq.
CHEA-20190116 @ 경주
Daejeon BUU (DJBUU)
30
Test particle Method
Kim et al. (2016)197Au+197Au@ 100 MeV/u, b=7fm
dp⌧
dt= �rU⌧
<latexit sha1_base64="0tcxOlx9wPXQC3oTRayMfdpqNCk=">AAACGXicbVBNS8NAEN34bf2qevSyWAQvlkQEvQiiF48VrApNCJPNRhc3m7A7EUrI3/DiX/HiQRGPevLfuG1z0NYHA4/3ZpiZF+VSGHTdb2dqemZ2bn5hsbG0vLK61lzfuDJZoRnvskxm+iYCw6VQvIsCJb/JNYc0kvw6uj8b+NcPXBuRqUvs5zxI4VaJRDBAK4VN1080sDKmpR9lMqZ5FZY+QlFVZYwVPaZ7voJIAu3WethsuW13CDpJvJq0SI1O2Pz044wVKVfIJBjT89wcgxI0CiZ51fALw3Ng93DLe5YqSLkJyuFnFd2xSkyTTNtSSIfq74kSUmP6aWQ7U8A7M+4NxP+8XoHJUVAKlRfIFRstSgpJMaODmGgsNGco+5YA08LeStkd2KjQhtmwIXjjL0+Sq/2257a9i4PWyWkdxwLZIttkl3jkkJyQc9IhXcLII3kmr+TNeXJenHfnY9Q65dQzm+QPnK8fzz6gxw==</latexit><latexit sha1_base64="0tcxOlx9wPXQC3oTRayMfdpqNCk=">AAACGXicbVBNS8NAEN34bf2qevSyWAQvlkQEvQiiF48VrApNCJPNRhc3m7A7EUrI3/DiX/HiQRGPevLfuG1z0NYHA4/3ZpiZF+VSGHTdb2dqemZ2bn5hsbG0vLK61lzfuDJZoRnvskxm+iYCw6VQvIsCJb/JNYc0kvw6uj8b+NcPXBuRqUvs5zxI4VaJRDBAK4VN1080sDKmpR9lMqZ5FZY+QlFVZYwVPaZ7voJIAu3WethsuW13CDpJvJq0SI1O2Pz044wVKVfIJBjT89wcgxI0CiZ51fALw3Ng93DLe5YqSLkJyuFnFd2xSkyTTNtSSIfq74kSUmP6aWQ7U8A7M+4NxP+8XoHJUVAKlRfIFRstSgpJMaODmGgsNGco+5YA08LeStkd2KjQhtmwIXjjL0+Sq/2257a9i4PWyWkdxwLZIttkl3jkkJyQc9IhXcLII3kmr+TNeXJenHfnY9Q65dQzm+QPnK8fzz6gxw==</latexit><latexit sha1_base64="0tcxOlx9wPXQC3oTRayMfdpqNCk=">AAACGXicbVBNS8NAEN34bf2qevSyWAQvlkQEvQiiF48VrApNCJPNRhc3m7A7EUrI3/DiX/HiQRGPevLfuG1z0NYHA4/3ZpiZF+VSGHTdb2dqemZ2bn5hsbG0vLK61lzfuDJZoRnvskxm+iYCw6VQvIsCJb/JNYc0kvw6uj8b+NcPXBuRqUvs5zxI4VaJRDBAK4VN1080sDKmpR9lMqZ5FZY+QlFVZYwVPaZ7voJIAu3WethsuW13CDpJvJq0SI1O2Pz044wVKVfIJBjT89wcgxI0CiZ51fALw3Ng93DLe5YqSLkJyuFnFd2xSkyTTNtSSIfq74kSUmP6aWQ7U8A7M+4NxP+8XoHJUVAKlRfIFRstSgpJMaODmGgsNGco+5YA08LeStkd2KjQhtmwIXjjL0+Sq/2257a9i4PWyWkdxwLZIttkl3jkkJyQc9IhXcLII3kmr+TNeXJenHfnY9Q65dQzm+QPnK8fzz6gxw==</latexit><latexit sha1_base64="0tcxOlx9wPXQC3oTRayMfdpqNCk=">AAACGXicbVBNS8NAEN34bf2qevSyWAQvlkQEvQiiF48VrApNCJPNRhc3m7A7EUrI3/DiX/HiQRGPevLfuG1z0NYHA4/3ZpiZF+VSGHTdb2dqemZ2bn5hsbG0vLK61lzfuDJZoRnvskxm+iYCw6VQvIsCJb/JNYc0kvw6uj8b+NcPXBuRqUvs5zxI4VaJRDBAK4VN1080sDKmpR9lMqZ5FZY+QlFVZYwVPaZ7voJIAu3WethsuW13CDpJvJq0SI1O2Pz044wVKVfIJBjT89wcgxI0CiZ51fALw3Ng93DLe5YqSLkJyuFnFd2xSkyTTNtSSIfq74kSUmP6aWQ7U8A7M+4NxP+8XoHJUVAKlRfIFRstSgpJMaODmGgsNGco+5YA08LeStkd2KjQhtmwIXjjL0+Sq/2257a9i4PWyWkdxwLZIttkl3jkkJyQc9IhXcLII3kmr+TNeXJenHfnY9Q65dQzm+QPnK8fzz6gxw==</latexit>
for KIDS
CHEA-20190116 @ 경주
Comparison study with other codes
31
CHEA-20190116 @ 경주
Prospects of the Observing Runs
32
“Prospects for Observing and Localizing Gravitational-Wave Transients with Advanced LIGO, Advanced Virgo and KAGRA”, arXiv:1304.0670v4, LIGO-P1200087-v45, Living Rev. Relativity, 21, 3 (2018)
We expect to observe more BNS and/or NS-BH
CHEA-20190116 @ 경주
Nuclear Symmetry Energy
Theoretical Connections
33
RMF: σ-ω-ρ model, PDM
DJBUU- π+/π--ratio, collective
flow, etc.
Skyrme force: KIDS
Astrophysics: M, Λ from GW,
M, R from LMXB
CHEA-20190116 @ 경주
Bayesian Analysis
Theoretical Connections
34
RMF: σ-ω-ρ model, PDM
DJBUU- π+/π--ratio, collective
flow, etc.
Skyrme force: KIDS
Astrophysics: M, Λ from GW,
M, R from LMXB
CHEA-20190116 @ 경주
Bayesian Analysis
Theoretical Connections
34
RMF: σ-ω-ρ model, PDM
DJBUU- π+/π--ratio, collective
flow, etc.
Skyrme force: KIDS
Astrophysics: M, Λ from GW,
M, R from LMXB
J [MeV] L [MeV] Ksym[MeV]
Ksy
m[M
eV]
L [M
eV]
CHEA-20190116 @ 경주
Low-Mass X-ray Binary
35
Steiner, Lattimer, Brown, ApJ 2010
95% confidence limits by using MC sampling
CHEA-20190116 @ 경주
Dataset - slb13
36
Mass-Radius PDF samples
PRE XRB
CHEA-20190116 @ 경주
Dataset - ls14
37
Mass-Radius PDF samples
qLMXBs
CHEA-20190116 @ 경주
Results
38