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

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 Charm07

D s1 (2536) 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 Charm D* s0 (2317) 1+1+ D s1 (2460) L = 0 j q = 1/ 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 : 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

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 Charm07 BELLE-CONF-0706 angular distribution studied for this D s1 (2536) → D* + K s sample

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 Charm07 θθ0θ0

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 Charm07 BELLE-CONF-0706

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 Charm07

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 Charm07

 (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± ) x 10 -4BF(B + → D 0 D 0 K + )=(22.2± ) x 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 Charm07 hep-ex/ (submitted to PRL) new D sJ

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 Charm07 ψ(4160) in ½ helicity distr. ψ(3770) Non-coherent approach; possible interference effects included in syst. errors

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 → decay implies P=-1J=1 preferred; 1 → 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 Charm07 J=0  2 /ndf=112/5 J=1  2 /ndf= 11/5 J=2  2 /ndf=146/5

D sJ (2700) interpretation D sJ (2700) → D 0 K state can be:D sJ (2700) → D 0 K 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, (2006) BaBar Coll. PRL 97, (2006) J. Brodzicka for Charm07 Godfrey, Isgur PRD 32, 189 (1985) Close, Swanson PLB 647, 159 (2007) Nowak, Rho, Zahed Acta Phys. Polon. B 35, 2377 (2004)

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 = ± → Falk-Peskin HQET parameter: w 3/2 = ± new D sJ (2700) meson observed:new D sJ (2700) meson observed: M=2708± MeV Γ=108± MeV J P =1 - M=2708± MeV Γ=108± 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 Charm07

Backup J. Brodzicka for Charm07 J. Brodzicka for Charm07

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 Charm07

HQET Falk-Peskin parameter w3/2 (prob. of light quark’s helicities) ρ00=2/3(1- w3/2) w3/2 = ± (w3/2 from D2*(2460) → Dπ by ARGUS) Parameters: ρ00, RΛ, cos ξ