D sJ mesons

DDsJsJ mesons mesons Jolanta Brodzicka (KEK) for Jolanta Brodzicka (KEK) for

BelleBelleQWG5, DESYQWG5, DESY

17-20 October 200717-20 October 2007

OutlineOutline• Introduction to cIntroduction to css multiplets multiplets• Observation of new DObservation of new DsJsJ(2700) (2700) →→DD00KK++ in B in B++→→DD00DD00KK++ • Observation of DObservation of Ds1s1(2536)(2536)→→DD++ππ--KK++

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

• SummarySummary

J. Brodzicka for Belle @ QWG5J. Brodzicka for Belle @ QWG5

ccss multiplets multipletsTheory:Theory: HQS based potential model predictions: HQS based potential model predictions: (Godfrey-(Godfrey-

Isgur ‘85)Isgur ‘85) two doublets for orbitally excited L=1 ctwo doublets for orbitally excited L=1 css states: states:

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)


spin-orbit tensor s-ospin-spin

L = 2…..

jq = sq + L, J = jq + sQ

Experiment:Experiment: jjqq=1/2 doublet=1/2 doublet 00++ : D : D**ss00(2317)→D(2317)→Dssππ00 11++ : D : Dss11(2460)→D(2460)→D**ssππ00

jjqq=3/2 doublet=3/2 doublet 11++: D: Dss11(2536)→D(2536)→D**KK (Argus ‘89)(Argus ‘89)22++: D: DssJJ(2573)→DK(2573)→DK (CLEO ‘94)(CLEO ‘94)their properties need to be their properties need to be

measuredmeasured higher orbital/radial higher orbital/radial

excitations?excitations?

very narrow, masses below Dvery narrow, masses below D((**))KK→→ don’t match the model don’t match the model predictionspredictions→ → how to accommodate them how to accommodate them within current models?within current models?

BaBar CLEO ‘03Belle

L = 0 jq = 1/2 1-

0-

Ds* Ds

mix?mix?

0+

1+

1+

2+

JP

D*K

D K D*s0(2317)

Ds1(2460)

DDs1s1(2536)(2536)

DDsJsJ(2573)(2573)jq = 3/2

jq = 1/2

L = 1

• 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-p22BB : beam-constrained mass : beam-constrained mass• S=399±40 S=399±40 for 449M Bfor 449M BBB used 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

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

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)

(4160)(3770)

new DsJ

• 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 (?) ) ) )

Decomposition of BDecomposition of B++→→DD00DD00KK+ + Dalitz Dalitz plot plot

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 observed structure at M(DK)~2.69GeV produced BaBaR observed 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)

Observation of Observation of DDs1s1(2536)(2536)→→DD++ππ--KK++J. Brodzicka for Belle @ QWG5J. Brodzicka for Belle @ QWG5

hep-ex/0709.4184 hep-ex/0709.4184 (submitted to PRD)(submitted to PRD)

angular analysis performed for angular analysis performed for DDs1s1(2536)(2536)→→D*D*++KKs s samplesample

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

(evidence)(evidence)• Study of eStudy of e++ee--→→DDs1s1(2536)X using 462 fb(2536)X using 462 fb-1-1, , DDs1s1(2536)(2536)→→DD++ππ--KK++ and D and Ds1s1(2536)(2536)→→D*D*++KKs s (normalization (normalization

mode)mode)• xxPP=p=pDs1Ds1//ppmaxmax>0.8 in e>0.8 in e++ee--cms pcms pmaxmax==√E√E22beambeam-M-M22Ds1Ds1• Two-body mass spectra consistent with Phase SpaceTwo-body mass spectra consistent with Phase Space

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 →D*K purepure D-wave D-wave decay: Ddecay: Ds1s1(2536)(2536)→D*K →D*K • 11++(j(jqq=1/2)=1/2)→D*K→D*K purepure S-wave S-wave decay: but Ddecay: but Ds1s1(2460)(2460)→D*K→D*K

forbiddenforbidden

• If HQET not exact: mixing of S-D waves possible If HQET not exact: mixing of S-D waves possible (by LS interaction, common decay channels, …)(by LS interaction, common decay channels, …)

• 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 >> basis basis (from combined B (from combined B

decays decays and eand e++ee- - study study

by Belle)by Belle)

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


θ θ0

• Measurement of mixing angle: test of HQS, way to understand unusual properties of jq=1/2 cjq=1/2 css doublet doublet

• The decay described by The decay described by αα, , ββ, , γγ angels angels• Prediction for 1Prediction for 1++ state state in the helicity formalism:in the helicity formalism:

• ρρ: helicity density matrix : helicity density matrix ρρ0000: longitudinal polarization: longitudinal polarization ρρ1111== ρρ-1--1-11=(1-=(1-ρρ0000)/2)/2

• z=√z=√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• AA1010=(S+D/=(S+D/√2√2)/)/√√3 A3 A0000=(S-=(S-√2D√2D)/)/√√3) 3) D, SD, S: partial-wave ampl. in D: partial-wave ampl. in Ds1s1 decay decay

D/S= √2(z-1)/(1+2z) =√D/S= √2(z-1)/(1+2z) =√ΓΓDD//ΓΓSS exp(i exp(iηη))

Partial Wave Analysis of Partial Wave Analysis of DDs1s1(2536)(2536)→→D*D*++KK00ss

J. Brodzicka for Belle @ QWG5 J. Brodzicka for Belle @ QWG5

hep-ex/0709.4184 hep-ex/0709.4184 (submitted to PRD)(submitted to PRD)

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

Fit to angular distribution of Fit to angular distribution of DDs1s1(2536)(2536)→→D*D*++KK00ss• 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 Fit results (include systematic errors)(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 in DS-wave dominates in Ds1s1(2536)(2536)→D→D**KK, contradicts HQET, contradicts HQET• DDs1s1(2460) and D(2460) and Ds1s1(2536) mix (2536) mix • How to calculate the mixing angle How to calculate the mixing angle θθ? ? Help from theorists Help from theorists needed to translate measurement to the needed to translate measurement to the jjqq=1/2, 3/2=1/2, 3/2 states states

DDs1s1’s helicity=0 preferred’s helicity=0 preferred AAligned production of jligned production of jqq=3/2 states is predicted by HQET =3/2 states is predicted by HQET

((ρρ0000~0.497)~0.497). .

• First full analysis for P-wave cFirst full analysis for P-wave css mesons mesons CLEO integrated over CLEO integrated over ββ in PWA of Din PWA of D11(2420)(2420)→D*→D*ππ PLB 331, 236; PLB 340, 194. PLB 331, 236; PLB 340, 194. DD11’-D’-D11 mixing angle measured from B mixing angle measured from B→D*→D*ππππ Dalitz plot analysis by Belle Dalitz plot analysis by Belle (-0.10(-0.10±0.03±0.02±0.02 rad±0.03±0.02±0.02 rad)) PRD 69, 112002 PRD 69, 112002


SummarySummary• New info to New info to ccss multiplets: multiplets:• new Dnew DsJsJ(2700)→D(2700)→D00KK++ meson observed: 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 states states• 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 cfirst full analysis for css

mesons):mesons):• S-wave dominates: S-wave dominates: ΓΓSS//ΓΓTOT TOT = 0.72 ± 0.05= 0.72 ± 0.05 • DDs1s1(2460) and D(2460) and Ds1s1(2536) mix (2536) 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

• ……and to and to cccc• ΨΨ(3770)[(3770)[→D→D00DD00] production in B decays confirmed] production in B decays confirmed• ΨΨ(4160)[(4160)[→D→D00DD00] production in B decays not significant] production in B decays not significant


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)

D sJ mesons

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