Spectrum of Mesons and Baryons with b Quarks ∗
نویسنده
چکیده
The results for heavy-light mesons are summarized in Table 1. The results presented here are based on the same statistical sample, consisting of 102 quenched configurations at β = 6.0 with lattice size 16 × 48, as used in our study of fB and fBs [1]. The details of the NRQCD action, the evolution equation for calculating the heavy quark propagator, the method used for setting the lattice scale, and the fixing of light and strange quark masses are given in [1]. The lattice scale, determined from Mρ, is 1.92(7) GeV, and we consider the range 1.8 − 2.0 GeV to determine the associated uncertainty. The bare b quark mass used in the heavy-light analyses is aM b = 2.31(12). From this we estimate m b (m MS b ) = 4.35(10)( −3 +2)(10) GeV. For hadrons containing strange quarks, the central values correspond to fixing ms using MK , and for errors we use the difference between it and using ms(MK∗). Details of the analyses of the spectrum will appear soon in [2]. Overall, our estimates are in rough agreement with experimental data, the one exception being the hyperfine splittings as discussed below. To understand the various mass splittings, we use the following qualitative picture in which the mass of a heavy-light hadron is considered to be a sum of: • the pole mass of the heavy quark (Mh) which is ∼ 1.5 GeV for the c quark and ∼ 5.0 GeV for the b; ∗This work was done in collaboration with A. Ali Khan, T. Bhattacharya, S. Collins, C. Davies, C. Morningstar, J. Shigemitsu and J. Sloan, and supported by the DoE Grand Challenges award at the ACL at Los Alamos. state (n J ) Lattice Expt. heavy-light mesons B 1(0−) 5296(04)(−2 +3) 5279 2(0−) 5895(116)( −32) 5860(*) B∗ 1(1−) 5319(02)( −2) 5325(1) B∗ 0 1(0 ) 5670(37)( −24) B1 1(1) 5726(38)( −29) 5698(12) B∗ 2 1(2) 5822(45)( +27 −35) 5779(*)[4] heavy-strange mesons Bs 1(0−) 5385(15)(−6 +7)( +20 −0 ) 5375(6) 2(0−) 5935(57)( −38)( +9 −0) B∗ s 1(1−) 5412(14)( −4 +2)( +20 −0 ) 5422(6) B∗ s0 1(0 ) 5742(27)( −20)( +15 −0 ) Bs1 1(1) 5804(31)( −26)( +16 −0 ) 5853(15) B∗ s2 1(2 ) 5878(26)( −33)( +11 −0 )
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Heavy-light Mesons and Baryons with b quarks
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