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

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Presentation on theme: "Charmed mesons J. Brodzicka (KEK) for Belle Charm07, Ithaca US."— Presentation transcript:

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

2 Outline Introduction to cs multipletsIntroduction to cs multiplets Observation of D s1 (2536) → D + π - K +Observation of D s1 (2536) → D + π - K + Partial Wave Analysis of D s1 (2536) → D* + K 0 sPartial Wave Analysis of D s1 (2536) → D* + K 0 s Observation of new D sJ (2700) → D 0 K + in B + → D 0 D 0 K +Observation of new D sJ (2700) → D 0 K + in B + → D 0 D 0 K + SummarySummary J. Brodzicka for Belle @ Charm07

3 D s1 (2536) 1+1+ 2+2+ D sJ (2573) D*K D K cs multiplets HQS based potential model predictionsHQS based potential model predictions two doublets for orbitally excited L=1 cs states: (Godfrey-Isgur ‘85)two doublets for orbitally excited L=1 cs states: (Godfrey-Isgur ‘85) 0 +, 1 + (j q =1/2) and 1 +, 2 + (j q =3/2) 0 +, 1 + (j q =1/2) and 1 +, 2 + (j q =3/2) M(j q =1/2), M(j q =3/2) > M D +M K M(j q =1/2), M(j q =3/2) > M D +M K Γ(j q =1/2) >> Γ(j q =3/2) Γ(j q =1/2) >> Γ(j q =3/2) J. Brodzicka for Belle @ Charm07 0+0+ D* s0 (2317) 1+1+ D s1 (2460) L = 0 j q = 1/2 1-1- 0-0- Ds* Ds* Ds Ds spin-orbittensor s-o spin-spin j q = 3/2 j q = 1/2 L = 1 L = 2 ….. JPJP j q = s q + L, J = j q + s Q mix 0+0+ ? ? 1+1+ Experiment: j q =1/2 doublet j q =1/2 doublet 0 + : D * s0 (2317) → D s π 0 1 + : D s1 (2460) → D * s π 0 j q =3/2 doublet j q =3/2 doublet 1 + : D s1 (2536) → D * K (Argus ‘89) 2 + : D sJ (2573) → DK (CLEO ‘94) jq=1/2 states: very narrow, masses below D ( * ) K → don’t match the potential model predictions BaBar CLEO ‘03 Belle

4 Known decay modes of D s1 (2536) : D* + K s, D* 0 K +, D s π + π -Known decay modes of D s1 (2536) : D* + K s, D* 0 K +, D s π + π - Study of e + e - → D s1 (2536)X, D s1 (2536) → D + π - K +, D* + K sStudy of e + e - → D s1 (2536)X, D s1 (2536) → D + π - K +, D* + K s 462 fb -1 data sample used (normalization mode)462 fb -1 data sample used (normalization mode) x P =p Ds1 /p max >0.8 in e + e - cmsx P =p Ds1 /p max >0.8 in e + e - cms Two-body mass spectra consistent with Phase SpaceTwo-body mass spectra consistent with Phase Space Observation of D s1 (2536) → D + π - K + J. Brodzicka for Belle @ Charm07 BELLE-CONF-0706 angular distribution studied for this D s1 (2536) → D* + K s sample

5 Mixing of jq=1/2 and jq=3/2 states HQET prediction for P-wave cs states:HQET prediction for P-wave cs states: 1 + (j q =3/2) → D*K pure D-wave: D s1 (2536) → D*K 1 + (j q =3/2) → D*K pure D-wave: D s1 (2536) → D*K 1 + (j q =1/2) → D*K pure S-wave: but D s1 (2460) → D*K forbidden 1 + (j q =1/2) → D*K pure S-wave: but D s1 (2460) → D*K forbidden If HQET not exact: mixing of S-D waves possibleIf HQET not exact: mixing of S-D waves possible (In D s1 (2536) → D*K D wave suppressed (In D s1 (2536) → D*K D wave suppressed → small S-wave component can contribute much to the width) Exp. knowledge on the mixing:Exp. knowledge on the mixing: from BF’s ratio of D s1 (2460) radiative decays: D* s γ/D s γ=0.31 ± 0.14 from BF’s ratio of D s1 (2460) radiative decays: D* s γ/D s γ=0.31 ± 0.14 switch from |j q > to | 2S+1 L J > basis switch from |j q > to | 2S+1 L J > basis tan 2 (θ+θ 0 )=0.8 ± 0.4 where tan 2 θ 0 =2 (no-mixing case) tan 2 (θ+θ 0 )=0.8 ± 0.4 where tan 2 θ 0 =2 (no-mixing case) J. Brodzicka for Belle @ Charm07 θθ0θ0

6 Angular distribution dependsAngular distribution depends on α, β, γ angles defined as: on α, β, γ angles defined as: ρ: helicity density matrix;ρ: helicity density matrix; ρ 00 : probability of D s1 ’s helicity=0 ρ 11 = ρ -1-1 =(1-ρ 00 )/2 ρ 00 : probability of D s1 ’s helicity=0 ρ 11 = ρ -1-1 =(1-ρ 00 )/2 √R Λ exp(iξ)=A 10 /A 00 A 10, A 00 : ampl. of D*‘s helicity= ±1, 0√R Λ exp(iξ)=A 10 /A 00 A 10, A 00 : ampl. of D*‘s helicity= ±1, 0 ( A 10 = (S+D/√2)/√3 A 00 = (S-√2D)/√3 ) ( A 10 = (S+D/√2)/√3 A 00 = (S-√2D)/√3 ) D/S =√Γ D /Γ S exp(iη) D, S: partial-wave ampl. in D s1 decay D/S =√Γ D /Γ S exp(iη) D, S: partial-wave ampl. in D s1 decay If no angle integrated → ξ-dependent term survivesIf no angle integrated → ξ-dependent term survives Partial Wave Analysis of D s1 (2536) → D* + K 0 s J. Brodzicka for Belle @ Charm07 BELLE-CONF-0706

7 Fit to angular distribution of D s1 (2536) → D* + K 0 s 3D maximum-likelihood fit with PDF: Background PDF: from M(D* + K s ) sidebands, normalized f bck : background fraction in M(D* + K s ) signal region: ~9% ε(α,β,γ)/ → efficiency correction Fit result projections (bckgd subtracted and efficiency corrected) : From χ 2 of the fit: goodness-of-fit probability: 60% J. Brodzicka for Belle @ Charm07

8 Results of D s1 (2536) → D* + K 0 s PWA Results of D s1 (2536) → D* + K 0 s PWA Fit results (include systematic errors):Fit results (include systematic errors): Γ S /Γ TOT = 0.72 ± 0.05 (η=43.9 ± 1.7°)Γ S /Γ TOT = 0.72 ± 0.05 (η=43.9 ± 1.7°) S-wave dominates, contradicts HQET S-wave dominates, contradicts HQET D s1 (2460) - D s1 (2536) mixing D s1 (2460) - D s1 (2536) mixing D s1 ’s helicity=0 preferred, agrees with HQETD s1 ’s helicity=0 preferred, agrees with HQET (aligned production of j q =3/2 states is predicted) (aligned production of j q =3/2 states is predicted) First full analysis for P-wave charmed mesonsFirst full analysis for P-wave charmed mesons (CLEO integrated over β in PWA of D 1 (2420) →D* π ) (CLEO integrated over β in PWA of D 1 (2420) →D* π ) J. Brodzicka for Belle @ Charm07

9  (4160)  (3770) New D sJ meson in B + → D 0 D 0 K + b → ccs tree process; cs → D 0 K + and cc → D 0 D 0 states can contributeb → ccs tree process; cs → D 0 K + and cc → D 0 D 0 states can contribute B + → D 0 D 0 K + signal identified using:B + → D 0 D 0 K + signal identified using: ΔE=E B -E beam, E beam =√s/2 : cms energy difference ΔE=E B -E beam, E beam =√s/2 : cms energy difference M bc = √E 2 beam -p 2 B : beam-constrained mass M bc = √E 2 beam -p 2 B : beam-constrained mass S=399±40 for 449M BB pairs usedS=399±40 for 449M BB pairs used BF(B + → D 0 D 0 K + )=(22.2±2.2 +2.6 -2.4 ) x 10 -4BF(B + → D 0 D 0 K + )=(22.2±2.2 +2.6 -2.4 ) x 10 -4 Dalitz plot and mass projections Dalitz plot and mass projections different from 3-body Ph. Space different from 3-body Ph. Space points: events from 1.5σ ΔE-Mbc signal box ■ :background from sidebands points: events from 1.5σ ΔE-Mbc signal box ■ :background from sidebands ΔEΔEΔEΔE M bc J. Brodzicka for Belle @ Charm07 hep-ex/0707.3491 (submitted to PRL) new D sJ

10 2D ΔE-M bc fits in invariant mass bins → B signal extracted2D ΔE-M bc fits in invariant mass bins → B signal extracted Obtained background-free mass spectra used to estimate the resonance contributions:Obtained background-free mass spectra used to estimate the resonance contributions: fitted B signal yield M(D 0 K + ) for M(D 0 D 0 )>3.85 GeV fitted with: Breit-Wigner ψ(4160) reflection + Ph. Space (shapes from MC) + ψ(4160) reflection + Ph. Space (shapes from MC) + exponential function (to describe the threshold enhancement (? ) ) Resonance contributions D sJ (2700) J. Brodzicka for Belle @ Charm07 ψ(4160) in ½ helicity distr. ψ(3770) Non-coherent approach; possible interference effects included in syst. errors

11 D sJ (2700) → D 0 K + in B + → D 0 D 0 K + Helicity angle distribution of D sJ (2700):Helicity angle distribution of D sJ (2700): background free and efficiency corrected background free and efficiency corrected (reflections from threshold and ψ(4160) subtracted) (reflections from threshold and ψ(4160) subtracted) J=1 preferred; 1 → 0 - 0 - decay implies P=-1J=1 preferred; 1 → 0 - 0 - decay implies P=-1 Contributions to the observed mass spectraContributions to the observed mass spectra Most observed features well describedMost observed features well described ■ D sJ (2700) ■ ψ(3770) ■ ψ(4160) ■ 3body ■ threshold component (MC predicted shapes) (MC predicted shapes) fitted B signal yield J. Brodzicka for Belle @ Charm07 J=0  2 /ndf=112/5 J=1  2 /ndf= 11/5 J=2  2 /ndf=146/5

12 D sJ (2700) interpretation D sJ (2700) → D 0 K + 1 - state can be:D sJ (2700) → D 0 K + 1 - state can be: radial excitation 2 3 S 1radial excitation 2 3 S 1 (predicted by potential models at M~2720GeV) (predicted by potential models at M~2720GeV) chiral doubler state 1 - to 1 + D s1 (2536) (predicted from chiral symmetry considerationschiral doubler state 1 - to 1 + D s1 (2536) (predicted from chiral symmetry considerations at M=2721±10 MeV) at M=2721±10 MeV) BaBaR sees structure at M(DK)~2.69GeV producedBaBaR sees structure at M(DK)~2.69GeV produced in e + e - continuum. Is that due to D sJ (2700)? in e + e - continuum. Is that due to D sJ (2700)? D sJ (2860) observed by BaBar not seen in our data.D sJ (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 @ Charm07 Godfrey, Isgur PRD 32, 189 (1985) Close, Swanson PLB 647, 159 (2007) Nowak, Rho, Zahed Acta Phys. Polon. B 35, 2377 (2004)

13 Summary New info to cs multiplets:New info to cs multiplets: new decay mode: D s1 (2536) → D + π - K + observednew decay mode: D s1 (2536) → D + π - K + observed from PWA of D s1 (2536) → D *+ Ksfrom PWA of D s1 (2536) → D *+ Ks (first full analysis for P-wave charmed mesons): (first full analysis for P-wave charmed mesons): S-wave dominates: Γ S /Γ TOT = 0.72 ± 0.05S-wave dominates: Γ S /Γ TOT = 0.72 ± 0.05 D s1 (2536) and D s1 (2460) mixD s1 (2536) and D s1 (2460) mix longitudinal polarization: ρ 00 = 0.490±0.013longitudinal polarization: ρ 00 = 0.490±0.013 → Falk-Peskin HQET parameter: w 3/2 = 0.266 ± 0.019 → Falk-Peskin HQET parameter: w 3/2 = 0.266 ± 0.019 new D sJ (2700) meson observed:new D sJ (2700) meson observed: M=2708±9 +11 -10 MeV Γ=108±26 +36 -31 MeV J P =1 - M=2708±9 +11 -10 MeV Γ=108±26 +36 -31 MeV J P =1 - It opens a box of higher radial/orbital excitations of cs states It opens a box of higher radial/orbital excitations of cs states J. Brodzicka for Belle @ Charm07

14 Backup J. Brodzicka for Belle @ Charm07 J. Brodzicka for Belle @ Charm07

15 D s1 recoil mass study D s1 (2536) recoil mass: M rec spectrum indicates 2-body reactions: e + e - → D s1 (2536)X, where X=D s, D* s, higher D** s ’s M rec resolution: ~70MeV at 2GeV, 1/M rec dependence 3D fits to angular distribution in bins of M rec (R Λ and ξ fixed) Polarization at low M rec : show structures expected for: e + e - → D s1 (2536)D s, D s1 (2536)D* s J. Brodzicka for Belle @ Charm07

16 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: ρ00, RΛ, cos ξ

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