Charmed mesons J. Brodzicka (KEK) for Belle Charm07, Ithaca US

Charmed mesonsCharmed mesons

J. Brodzicka (KEK) for BelleJ. Brodzicka (KEK) for BelleCharm07, Ithaca USCharm07, Ithaca US

OutlineOutline

• Introduction to cIntroduction to css multiplets multiplets• Observation of DObservation of Ds1s1(2536)(2536)→→DD++ππ--KK++

• Partial Wave Analysis of DPartial Wave Analysis of Ds1s1(2536)(2536)→→D*D*++KK00ss

• Observation of new DObservation of new DsJsJ(2700) (2700) →→DD00KK++ in B in B++→→DD00DD00KK++

• SummarySummary

J. Brodzicka for Belle @ Charm07J. Brodzicka for Belle @ Charm07

DDs1s1(2536)(2536)1+

2+ DDsJsJ(2573)(2573)

D*K

D K

ccss multiplets multiplets• HQS based potential model predictionsHQS based potential model predictions• two doublets for orbitally excited L=1 ctwo doublets for orbitally excited L=1 css states: states: (Godfrey-(Godfrey-

Isgur ‘85)Isgur ‘85) 00++, 1, 1++ (j (jqq=1/2) and 1=1/2) and 1++, 2, 2++ (j (jqq=3/2) =3/2) M(jM(jqq=1/2), M(j=1/2), M(jqq=3/2) > M=3/2) > MDD+M+MKK Γ(jΓ(jqq=1/2) >> Γ(j=1/2) >> Γ(jqq=3/2) =3/2)


0+D*s0(2317)

1+

Ds1(2460)

L = 0 jq = 1/2 1-

0-

Ds*

Ds

spin-orbit tensor s-ospin-spin

jq = 3/2

jq = 1/2

L = 1

L = 2…..

JP

jq = sq + L, J = jq + sQ

mix

0+

?

?1+

Experiment:Experiment: jjqq=1/2 doublet =1/2 doublet

00++ : D : D**s0s0(2317)→D(2317)→Dssππ00

11++ : D : Ds1s1(2460)→D(2460)→D**ssππ00

jjqq=3/2 doublet =3/2 doublet

11++: D: Ds1s1(2536)→D(2536)→D**KK (Argus ‘89)(Argus ‘89)

22++: D: DsJsJ(2573)→DK(2573)→DK (CLEO ‘94)(CLEO ‘94)

jq=1/2 states:jq=1/2 states: very very narrow, masses below narrow, masses below DD((**))KK

→→ don’t match the don’t match the potential model potential model predictionspredictions

BaBar CLEO ‘03Belle

• Known decay modes of DKnown decay modes of Ds1s1(2536) : D*(2536) : D*++KKss, D*, D*00KK++, D, Dssππ++ππ--

• Study of eStudy of e++ee--→→DDs1s1(2536)X, D(2536)X, Ds1s1(2536)(2536)→→DD++ππ--KK++, D*, D*++KKs s

• 462 fb462 fb-1-1 data sample used data sample used (normalization mode)(normalization mode)

• xxPP=p=pDs1Ds1/p/pmax max >0.8 in e>0.8 in e++ee-- cms cms

• Two-body mass spectra consistent with Phase SpaceTwo-body mass spectra consistent with Phase Space

Observation of Observation of DDs1s1(2536)(2536)→→DD++ππ--KK++J. Brodzicka for Belle @ Charm07J. Brodzicka for Belle @ Charm07

BELLE-CONF-0706BELLE-CONF-0706

angular distribution studied for angular distribution studied for

this Dthis Ds1s1(2536)(2536)→→D*D*++KKs s samplesample

Mixing of jq=1/2 and jq=3/2 statesMixing of jq=1/2 and jq=3/2 states• HQET prediction for P-wave cHQET prediction for P-wave css states: states:

• 11++(j(jqq=3/2)=3/2)→D*K pure →D*K pure D-waveD-wave: D: Ds1s1(2536)(2536)→D*K →D*K • 11++(j(jqq=1/2)=1/2)→D*K→D*K pure pure S-waveS-wave: but D: but Ds1s1(2460)(2460)→D*K→D*K forbidden forbidden

• If HQET not exact: mixing of S-D waves possibleIf HQET not exact: mixing of S-D waves possible

(In D(In Ds1s1(2536)(2536)→D*K D wave suppressed →D*K D wave suppressed →→ small S-wave component can contribute much to the small S-wave component can contribute much to the

width)width)• Exp. knowledge on the mixing: Exp. knowledge on the mixing:

• from BF’s ratio of from BF’s ratio of DDs1s1(2460)(2460) radiative decays: radiative decays: D*D*ssγγ/D/Dssγγ=0.31 ± =0.31 ± 0.140.14

• switch from |switch from |jjqq>> to |to |2S+12S+1LLJ J >> basisbasis

• tantan22((θθ++θθ00)=0.8 ± 0.4)=0.8 ± 0.4 where tan where tan22θθ00=2 (no-mixing case)=2 (no-mixing case)


θ θ0

• Angular distribution depends Angular distribution depends

on on αα, , ββ, , γγ angles defined as: angles defined as:

• ρρ: helicity density matrix; : helicity density matrix;

ρρ0000: : probability of Dprobability of Ds1s1’s helicity=0 ’s helicity=0 ρρ1111== ρρ-1-1-1-1=(1-=(1-ρρ0000)/2 )/2

• √√RRΛΛ exp(i exp(iξξ)=A)=A1010/A/A0000 AA1010 , A , A0000: ampl. of D*‘s helicity= ±1, 0: ampl. of D*‘s helicity= ±1, 0

( A( A1010 = (S+D/ = (S+D/√2√2)/)/√√3 A3 A00 00 = (S-= (S-√2D√2D)/)/√√3 )3 )

D/S =√D/S =√ΓΓDD//ΓΓSS exp(i exp(iηη)) D, S: partial-wave ampl. in DD, S: partial-wave ampl. in Ds1s1 decay decay

• If no angle integrated If no angle integrated → → ξξ-dependent term survives-dependent term survives

Partial Wave Analysis of Partial Wave Analysis of DDs1s1(2536)(2536)→→D*D*++KK00

ss


BELLE-CONF-0706BELLE-CONF-0706

Fit to angular distribution of Fit to angular distribution of DDs1s1(2536)(2536)→→D*D*++KK00

ss• 3D maximum-likelihood fit with PDF:

• Background PDF: from M(D*+Ks) sidebands, normalized

• fbck: background fraction in M(D*+Ks) signal region: ~9%

• ε(α,β,γ)/<ε> → efficiency correction• Fit result projections (bckgd subtracted and efficiency

corrected):

• From χ2 of the fit: goodness-of-fit probability: 60%


Results of Results of DDs1s1(2536)(2536)→→D*D*++KK00ss PWAPWA

• Fit results (include systematic errors):Fit results (include systematic errors):

• ΓΓSS//ΓΓTOT TOT = 0.72 ± 0.05 = 0.72 ± 0.05 ((ηη=43.9 ± 1.7°=43.9 ± 1.7°))

S-wave dominates, contradicts HQETS-wave dominates, contradicts HQET

DDs1s1(2460) - D(2460) - Ds1s1(2536) mixing(2536) mixing

• DDs1s1’s helicity=0 preferred, agrees with HQET ’s helicity=0 preferred, agrees with HQET

(aligned production of j(aligned production of jqq=3/2 states is predicted)=3/2 states is predicted)

• First full analysis for P-wave charmed mesonsFirst full analysis for P-wave charmed mesons

(CLEO integrated over (CLEO integrated over ββ in PWA of Din PWA of D11(2420)(2420)→D*→D*ππ ))


(4160)

(3770)

New DNew DsJsJ meson in meson in BB++→→DD00DD00KK++

• b→cb→cccs tree process; cs tree process; css→D→D00KK++ and c and ccc→D→D00DD00 states can states can contributecontribute

• BB++→→DD00DD00KK++ signal identified using: signal identified using:

ΔΔE=EE=EBB-E-Ebeambeam , E , Ebeambeam=√s/2 : cms energy difference =√s/2 : cms energy difference

MMbcbc= √E= √E22beambeam-p-p22

BB : beam-constrained mass : beam-constrained mass

• S=399±40 S=399±40 for 449M Bfor 449M BBB pairs used pairs used• BF(BBF(B++→→DD00DD00KK++)=(22.2±2.2)=(22.2±2.2+2.6+2.6

-2.4-2.4) ) xx1010-4-4

• Dalitz plot and mass projections Dalitz plot and mass projections

different from 3-body Ph. Spacedifferent from 3-body Ph. Space

points: events from 1.5σ ΔE-Mbc signal box points: events from 1.5σ ΔE-Mbc signal box ■■:background from sidebands:background from sidebands

ΔΔEE MMbcbc


hep-ex/0707.3491 hep-ex/0707.3491

(submitted to PRL)(submitted to PRL)

new Dnew DsJsJ

• 2D ΔE-M2D ΔE-Mbcbc fits in invariant mass bins → B signal extracted fits in invariant mass bins → B signal extracted

• Obtained background-free mass spectra used to estimate Obtained background-free mass spectra used to estimate the resonance contributions:the resonance contributions:

fitted B signal fitted B signal yield yield

M(D0K+) for M(D0D0)>3.85 GeV fitted with: Breit-Wigner + ψψ(4160) reflection + Ph. Space (shapes (4160) reflection + Ph. Space (shapes from MC)from MC)+ exponential function (to describe the + exponential function (to describe the threshold enhancement (?threshold enhancement (?) ) ) )

Resonance contributionsResonance contributions

DDsJsJ(2700)(2700)


ψψ(4160) in (4160) in ½ helicity ½ helicity distr. distr.

ψψ(3770)(3770)

• Non-coherent approach; possible interference effects included in syst. errors

DDsJsJ(2700) (2700) →→DD00KK++ in in BB++→→DD00DD00KK++

• Helicity angle distribution ofHelicity angle distribution of DDsJsJ(2700): (2700):

background free and efficiency corrected background free and efficiency corrected

(reflections from threshold and (reflections from threshold and ψψ(4160) subtracted)(4160) subtracted)

• J=1J=1 preferred; 1 preferred; 1→→00--00- - decaydecay impliesimplies P=-1P=-1

• Contributions to the observed mass spectra Contributions to the observed mass spectra

• Most observed features well describedMost observed features well described

■■DDsJsJ(2700)(2700) ■■ψψ(3770)(3770) ■■ψ(4160)ψ(4160) ■■3body3body ■■threshold component threshold component

(MC predicted shapes)(MC predicted shapes)

fitted B signal yield fitted B signal yield


J=J=00 22//ndf=ndf=112112//55J=1J=1 22//ndf= ndf= 1111//5 5 J=2J=2 22//ndf=ndf=146/5146/5

DDsJsJ(2700) interpretation(2700) interpretation

• DDsJsJ(2700)→D(2700)→D00KK+ + 1 1-- state can be: state can be:

• radial excitation 2radial excitation 233SS11

(predicted by potential models at M~2720GeV)(predicted by potential models at M~2720GeV)

• chiral doubler state 1chiral doubler state 1-- to 1 to 1++ D Ds1s1(2536)(2536) (predicted from chiral symmetry considerations (predicted from chiral symmetry considerations

at M=2721±10at M=2721±10 MeV)MeV)

• BaBaR sees structure at M(DK)~2.69GeV produced BaBaR sees structure at M(DK)~2.69GeV produced

in ein e++ee-- continuum. Is that due to continuum. Is that due to DDsJsJ(2700)(2700)??

• DDsJsJ(2860) observed by BaBar not seen in our data. (2860) observed by BaBar not seen in our data.

Its production in B decays suppressed by its high spin?Its production in B decays suppressed by its high spin? BaBar Coll. PRL 97, 222001 (2006)BaBar Coll. PRL 97, 222001 (2006)


Godfrey, Isgur PRD 32, 189 (1985)

Close, Swanson PLB 647, 159 (2007)

Nowak, Rho, ZahedActa Phys. Polon. B 35, 2377 (2004)

SummarySummary

• New info to cNew info to css multiplets: multiplets:• new decay mode: Dnew decay mode: Ds1s1(2536)(2536)→D→D++ππ--KK++ oobserved bserved

• from PWA of Dfrom PWA of Ds1s1(2536)(2536)→D→D*+*+KsKs ((first full analysis for P-wave charmed mesons):first full analysis for P-wave charmed mesons):

• S-wave dominates: S-wave dominates: ΓΓSS//ΓΓTOT TOT = 0.72 ± 0.05= 0.72 ± 0.05

• DDs1s1(2536) and D(2536) and Ds1s1(2460) mix (2460) mix

• longitudinal polarization: longitudinal polarization: ρρ0000 = 0.490±0.013 = 0.490±0.013

→→ Falk-Peskin Falk-Peskin HQET parameter: HQET parameter: ww3/23/2 = 0.266 ± 0.019 = 0.266 ± 0.019

• new Dnew DsJsJ(2700) meson observed: (2700) meson observed:

M=2708M=2708±9±9+11+11-10-10MeV MeV ΓΓ=108±26=108±26+36+36

-31-31MeV JMeV JPP=1=1--

It opens a box of higher radial/orbital excitations of cIt opens a box of higher radial/orbital excitations of css statesstates


BackupBackup


DDs1s1 recoil mass study recoil mass study

• Ds1(2536) recoil mass:

• Mrec spectrum indicates 2-body reactions:

e+e-→Ds1(2536)X, where X=Ds , D*s , higher D**s’s

• Mrec resolution: ~70MeV at 2GeV, 1/Mrec dependence

• 3D fits to angular distribution in bins of Mrec (RΛ and ξ fixed)

• Polarization at low Mrec:

show structures expected for:

e+e-→Ds1(2536)Ds , Ds1(2536)D*s


• HQET Falk-Peskin parameter w3/2 (prob. of light quark’s helicities)• ρ00=2/3(1- w3/2) w3/2 = 0.266 ± 0.019 (w3/2 <0.24 @90%CL from D2*(2460)→Dπ by ARGUS)

Parameters: Parameters: ρρ0000, , RRΛΛ, , coscos ξξ

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Charmed mesons J. Brodzicka (KEK) for Belle Charm07, Ithaca US