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Φ-photo-production from deuteron
M. Miyabe
Outlook
• Physics overview
• Study for FSI
• Improvement of Eγ
• Summary
3
Φ photo production of proton near the threshold
• High energy– Pomeron exchange– Increase with energy.
• Low energy– Pseudo scalar meson
exchange– Decrease with energy.
Discriminate natural-parity mode from meson exchange using Decay angular distribution.
P, glueball, , f2’
p
Pure naturalparity exchange
Pure unnaturalparity exchange
0 0
Decay angular distribution
φ-Φ
φ : photon pol. AngleΦ : K decay angle.
4
Results of proton target
Peak structure around 2GeV.Natural parity exchange is dominant → 0+ glueball ?T. Mibe, et al. nucl-ex/0506015
2005/09/21 HAW05 5
Φ photo production of deuteron
1. Coherent production– Interact with deuteron
itself.
2. Incoherent production– Interact with proton or
neutron in deuteron.
2005/09/21 HAW05 6
Incoherent production
• Due to isospin effect,– gπnn and gηnn has opposite sign. →unnatural parity exchange process is suppressed in
neutron case. Information of unnatural (π/η) exchange process
Φ photo-production from neutron
• Exclude coherent contribution
• Final state interaction estimation
• Fermi motion effect
Final State Interaction (FSI)
• Enhancement in low PN relative momentum region.
• Try to make up the difference MC from Real data with FSI
γ
np
n
p
φ
FSI
Theoretical calculation• Enhancement factor
– Triplet
• κ: deuteron binding parameter
• r1: NP effective radius– Singlet
• a0: NP scattering length• r0: NP effective radius
• Ref: A.I. Titov arXiv:nucl-th/0001027v1
000
000
22
22
121
121
rra
rra
k
kkFs
111
22
21
2
/)2( rrk
kkFt
Singlet term has stronger dependent then triplet one
pn relative momentum
Real data MC(incoherent)
γ
np
np
φ
Ppn→ k^2
Pφ
Exposion FSI effect
K^2 distribution |qfmin|<0.1 After coherent exclusion
Coherent
RealMC(incohernt)
FSI?
Real-MC(co)
Comparison with theoretical function
• Ft(k)– r 1 ← parameter fit
• Fit result–r 1 = 1.755 +/- 0.07 fm
• Past experiment results–r 1 = 1.759 fm
Real/MC
Singlet contribution
• F(k)= ε*Fs(k) + (1-ε)*Ft(k)
Prefer triplet function to singlet one?
FSI effect
MMd W/O FSI MMd with FSI
With FSI effect, ratio of coherent and incoherent was modified.
result
χ^2 Ratio of number of φ
Proton case Deuteron case
γ
np
n
p
φγ
p p
φ
Fermi motion correction
Eγ is directly related with s Eγ is not directory related with s Because of fermi motion
• Minimum momentum for spectator nucleon
• Re-calculate Eγ variable in neutron rest frame
γ
np
n
p
φn
p
CM
n
p
Eγ in neutron rest frame
Scattered particle momentum
Scattered particle momentumResidual of scattered nucleus in MC
qfmin<0.1
MC(incoherent)
Improvement of Eγ resolution
• MC simulation for incoherent
• Resolution of Eγ in the n rest frame value improve from 114MeV to 59MeV
ΔEγ
Result
Slope & dσ/dt in original Eγ Slope & dσ/dt in the n rest Eγ
Preliminary
Preliminary
Summary
• Φ photo-production from neutron was unique tool for study unnatural parity exchange process.
• FSI contribution was found.• Improvement resolution of γ energy in the n
rest frame