Relativistic corrections to decays of heavy baryons in the quark model

Abstract

We investigate relativistic corrections of order 1/m 2 , where m is the light quark mass, to heavy baryon decays by emitting one pseudoscalar meson in the quark model. This work is motivated by shortcomings in the previous studies in the nonrelativistic quark model for decays of the Roper-like states such as Λc(2765). We find that the relativistic corrections due to the internal motion of quarks are essential ingredients in improving their decay properties such that the decay widths are significantly increased. In addition, such corrections can explain a phenomenological suppression of the quark axial-vector coupling constant g q A for the Σc(2455) and Σc(2520) decays.

Strong decays of multi-strangeness baryon resonances in the quark model

“…The obtained decay widths in the quark model with various spin and parity assignments are presented in Table III. Our results show that the relativistic corrections for the negative parity states are relatively small, which is consistent with our finding in heavy baryon cases [49]. Throughout this study, we found that the 70, 2 Another clue on the quantum numbers of Ξ(1690) can be found in the branching fractions of its strong decays.…”

“…As expected, the relativistic corrections are quite large similar to the cases of other siblings studied in Ref. [49]. The width is estimated to be around 100 MeV although large model uncertainties are seen as depicted in Fig.…”

“…In particular, we put more emphasis on the Roper-like resonances that would be observed at the present experimental facilities in the near future. As we have discussed in our previous work [49], the relativistic effects play a crucial role in the decays of Roper-like resonances and we further explore their role in the present work. This article is organized as follows.…”

“…These correction terms are important, in particular, for the case where the leading terms are suppressed as in the case for the decay of the Roper-like states. This procedure leads to [49]…”

Strong decays of the low-lying doubly bottom baryons

“…Actually, the esti- mated widths may be sensitive to the node of radially excited wave functions, which also appeared in previous 3 P 0 model calculations [105]. Moreover, the relativistic corrections may be important and provide significant contributions for these radially excited baryons [120]. In the constituent quark model, there are six states belonging to the λ-mode Ξ bb (1D) states, and they can be classified into j = 3/2 triplet and j = 5/2 triplet.…”