出版社：SISSA, Scuola Internazionale Superiore di Studi Avanzati
摘要：Partial decay widths of the heavy-light mesons, D;Ds;B; and Bs, emitting one chiral particle (p or K) are evaluated in the framework of a relativistic potential model. Decay amplitudes are calculated by keeping the Lorentz invariance as far as possible and use has been made of the Lorentz-boosted relativistic wave functions of the heavy-light mesons. New formulation for the decay amplitude is given. One of predictions of our calculation is very narrow widths of a few keV for yet undsicovered Bs(0+;1+) mesons corresponding to 2S+1LJ = 3P0 and “3P1” assuming their masses to be 5617 and 5682 MeV, respectively, as calculated in our former paper. Here double quotation marks denote that they are mixed states between 3P1 and 1P1 and the dominant states are expressed by those without quotations. In the course of our calculation, new sum rules are discovered on the decay widths in the limit of mQ ! ¥. Among these rules, G(D¤ s0(2317)!Ds+p) = G(Ds1(2460)!D¤ s +p) and G(B¤ s0(5615)!Bs+p) = G(Bs1(5679)!B¤ s +p) are predicted to hold with a good accuracy. The axial-vector coupling constant ˆ g = 0:577 used in our paper, which is derived by fitting our decay widths with experiments, is in a good agreement with other calculations, e.g., those derived by the leptonic decay width using the Schwinger-Dyson equation and the lattice QCD. This coupling may be used for the study of dissociation processes p +J=y !D+ ¯D or p +¡!B+ ¯B by exchanging D¤ or B¤.
