Understanding masses of charm-strange states in Regge phenomenology De-Min Li Department of Physics, Zhengzhou University lidm@zzu.edu.cn Oct. 29, 2006 高能物理学会第七届全国会员代表大会暨学术年会 2006.10.28-11.1 桂林

Outline Introduction Regge Phenomenology D and Ds Spectra Discussion Summary 高能物理学会第七届全国会员代表大会暨学术年会 2006.10.28-11.1 桂林

Introduction Experimental information Theoretical predictions Ds0(2317), D0(2290)/D0(2308), DsJ(2632), DsJ(2860), DsJ(2690)/DsJ(2715) Theoretical predictions Quark model：Ds0 mass, 2.48, 2.487GeV Important to exhaust possible conventional description before restoring to exotic models hep-ph/0605019, hep-ph/0608011, hep-ph/0608139 Masses of these charm strange states can be reproduced well in Regge phenomenology 高能物理学会第七届全国会员代表大会暨学术年会 2006.10.28-11.1 桂林

Regge phenomenology Quasi-linear Regge trajectory Detailed：De-Min Li et al.，Eur. Phys. J. C 37, 323 (2004) 高能物理学会第七届全国会员代表大会暨学术年会 2006.10.28-11.1 桂林

Regge phenomenology Slope of Regge trajectory JP of DsJ(2860)：0+，1-， 2+， 3- JP of DsJ(2690)/DsJ(2715): 1- Assumption 1 argued by Phys. Rev. D61，054013 （2000） Slopes of parity partners’ trajectories coincide 0+，1-， 2+， 3- are the 13S1-like trajectories 高能物理学会第七届全国会员代表大会暨学术年会 2006.10.28-11.1 桂林

Regge phenomenology Slopes used in this work (parameters-1) Assumption 2 argued by Phys. Rev. D62，051502 （2000） Slopes used in this work (parameters-1) Taken from De-Min Li，Eur. Phys. J. C 37, 323 (2004) 高能物理学会第七届全国会员代表大会暨学术年会 2006.10.28-11.1 桂林

Regge phenomenology is flavor-independent P. C. Collins, An introduction to Regge theory and high energy physics, 1977 高能物理学会第七届全国会员代表大会暨学术年会 2006.10.28-11.1 桂林

Regge phenomenology cc\bar n=1 n=2 n=3 n=4 The. MeV 3097 3447 3764 Anisovich, Phys. Rev. D 62, 051502 (2000） cc\bar n=1 n=2 n=3 n=4 The. MeV 3097 3447 3764 4058 Exp. MeV 3686 4039 4421 高能物理学会第七届全国会员代表大会暨学术年会 2006.10.28-11.1 桂林

Regge phenomenology is flavor-dependent Phenomenological analysis indicates Filipponi，Phys. Rev. D58,016003(1998), Phys. Rev. Lett.80,1838 (1998) （1）Depends on mi, mj （2）Through the combination (mi+mj) (3) ~1.3-1.6 （for n=2） 高能物理学会第七届全国会员代表大会暨学术年会 2006.10.28-11.1 桂林

Regge phenomenology We propose Masses of constituent quarks (in GeV) which are typical values used in phenomenology quark models 高能物理学会第七届全国会员代表大会暨学术年会 2006.10.28-11.1 桂林

Regge phenomenology Input Additivity of intercepts 高能物理学会第七届全国会员代表大会暨学术年会 2006.10.28-11.1 桂林

Regge phenomenology parameters-2( GeV-1) It is found that Agree well with the quantitative result~ 1.3—1.6 高能物理学会第七届全国会员代表大会暨学术年会 2006.10.28-11.1 桂林

Regge phenomenology Comparison with exp. and other theoretical results 高能物理学会第七届全国会员代表大会暨学术年会 2006.10.28-11.1 桂林

Regge phenomenology 高能物理学会第七届全国会员代表大会暨学术年会 2006.10.28-11.1 桂林

D and Ds spectra Choice of the scalar I=1, I=1/2 light mesons Recent Lattice QCD stimulations Lightest I=1, a0: 1.04(7) GeV, RBC, Nucl. Phys. (Proc. Suppl.) 119,822 (2003) 1.0(2) GeV, UKQCD，Nucl. Phys. (Proc. Suppl.) 119,266 (2003) 1.01(4) GeV UKQCD, Phys. Rev. D74,014508 (2006) 1.4 ~ 1.6 GeV, RD70,094503(2004),PRD73,094505(2006) hep-lat/0607110， 高能物理学会第七届全国会员代表大会暨学术年会 2006.10.28-11.1 桂林

D and Ds spectra Here we take Mass of I=1, a0 (1.04+1.0+1.01)/3=1.02 GeV 1318MeV Considering that The spin-orbit force makes lighter a0 respect to a2，the same behavior is evident in charmonium and bottomonium Naïve Quark model prediction 高能物理学会第七届全国会员代表大会暨学术年会 2006.10.28-11.1 桂林

D and Ds spectra Lattice studies suggest [ PRD.74,014508(2006) ] Mass of I=1/2, K0 would be 100-130 heavier than a0 mass, which is not easily related to any current experimental candidate, while is consistent with the result from K matrix analysis ( Phys. Lett. B413,317 (1997) ) I=1/2, K0, mass: 1090(40) MeV Here we take mass of I=1/2, K0 1.09 GeV 高能物理学会第七届全国会员代表大会暨学术年会 2006.10.28-11.1 桂林

D and Ds spectra 高能物理学会第七届全国会员代表大会暨学术年会 2006.10.28-11.1 桂林 Hep-ph/0610327 2.31(3) 高能物理学会第七届全国会员代表大会暨学术年会 2006.10.28-11.1 桂林

Discussion DsJ(2860) Mass: 2856.6(1.5)(5.0) MeV Width:48(7)(10) MeV Observed only in D0K+, D+Ks0 Possible JP: 0+,1-,2+,3-,… 3P0 model (hep-ph/0609031) 1-(13D1) width: 132>>48 0+(23P0) width: 54 ~ 48 3-(13D3) width: 37 ~ 48 DsJ(2856) 高能物理学会第七届全国会员代表大会暨学术年会 2006.10.28-11.1 桂林

Discussion DsJ(2632) May be an experimental artifact Mass:2632(1.7) =2.2(2) >> 0.14(0.06) (PLB623,218 (2005)) B-S Eq. 23S1 cs\bar ：2658(15)MeV Only observed by SELEX, Searches by FOCUS, BaBar, CLEO have on evidence May be an experimental artifact 高能物理学会第七届全国会员代表大会暨学术年会 2006.10.28-11.1 桂林

Discussion DsJ(2690)/DsJ(2715) DsJ(2690), BaBar, hep-ex/0607082 Mass 2688(4)(2), Width: 112(7)(36) DsJ(2715), Belle, JP=1-, hep-ex/0608031 Mass 2715(11)(14), Width: 115(7)(36) ~100MeV lighter than predictions 3P0 model (Close, hep-ph/0608139) 1-(23S1(2688)) width: 103 ~115 3P0 model (Zhu,hep-ph/0609013) 1-(13D1(2715)) width: 73 ~ 115 高能物理学会第七届全国会员代表大会暨学术年会 2006.10.28-11.1 桂林

Summary Predictions by Regge phenomenology agree remarkably well with the experiments for charmonium spectrum Masses predicted by Regge phenomenology are in good agreement with those by some modified quark model for the charmed mesons It is not necessary to introduce more exotic models for understanding the masses of the recent observed charmed states 高能物理学会第七届全国会员代表大会暨学术年会 2006.10.28-11.1 桂林

Thanks 高能物理学会第七届全国会员代表大会暨学术年会 2006.10.28-11.1 桂林