D D sJ sJ mesons mesons Jolanta Brodzicka (KEK) for Jolanta Brodzicka (KEK) for Belle Belle QWG5, DESY QWG5, DESY 17-20 October 2007 17-20 October 2007
Feb 05, 2016
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)
J. Brodzicka for Belle @ QWG5J. Brodzicka for Belle @ QWG5
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
J. Brodzicka for Belle @ QWG5J. Brodzicka for Belle @ QWG5
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)
J. Brodzicka for Belle @ QWG5J. Brodzicka for Belle @ QWG5
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. Brodzicka for Belle @ QWG5J. Brodzicka for Belle @ QWG5
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)
J. Brodzicka for Belle @ QWG5J. Brodzicka for Belle @ QWG5
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)
J. Brodzicka for Belle @ QWG5J. Brodzicka for Belle @ QWG5
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%
J. Brodzicka for Belle @ QWG5J. Brodzicka for Belle @ QWG5
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
J. Brodzicka for Belle @ QWG5J. Brodzicka for Belle @ QWG5
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
J. Brodzicka for Belle @ QWG5J. Brodzicka for Belle @ QWG5
BackupBackup
J. Brodzicka for Belle @ QWG5J. Brodzicka for Belle @ QWG5
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
J. Brodzicka for Belle @ QWG5J. Brodzicka for Belle @ QWG5
• 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)
•