English

The Strong Decays of Orbitally Excited $B^{*}_{sJ}$ Mesons by Improved Bethe-Salpeter Method

High Energy Physics - Phenomenology 2015-06-04 v1

Abstract

We calculate the masses and the strong decays of orbitally excited states Bs0B_{s0}, Bs1B'_{s1}, Bs1B_{s1} and Bs2B_{s2} by the improved Bethe-Salpeter method. The predicted masses of Bs0B_{s0} and Bs1B'_{s1} are MBs0=5.723±0.280GeVM_{B_{s0}}=5.723\pm0.280 {\rm GeV}, MBs1=5.774±0.330GeVM_{B'_{s1}}=5.774\pm0.330 {\rm GeV}. We calculate the isospin symmetry violating decay processes Bs0BsπB_{s0}\to B_s \pi and Bs1BsπB'_{s1}\to B_s^* \pi through π0η\pi^0-\eta mixing and get small widths. Considering the uncertainties of the masses, for Bs0B_{s0} and Bs1B'_{s1}, we also calculate the OZI allowed decay channels: Bs0BKˉB_{s0}\to B\bar K and Bs1BKˉB'_{s1}\to B^*\bar K. For Bs1B_{s1} and Bs2B_{s2}, the OZI allowed decay channels Bs1BKˉB_{s1}\to B^{*}\bar K, Bs2BKˉB_{s2}\to B\bar K and Bs2BKˉB_{s2}\to B^{*}\bar K are studied. In all the decay channels, the reduction formula, PCAC relation and low energy theorem are used to estimate the decay widths. We also obtain the strong coupling constants GBs0BsπG_{B_{s0}B_s\pi}, GBs0BKˉG_{B_{s0}B\bar K}, GBs1BsπG_{B'_{s1}B_s^*\pi}, FBs1BsπF_{B'_{s1}B_s^*\pi}, GBs1BKˉG_{B'_{s1}B^*\bar K}, FBs1BKˉF_{B'_{s1}B^*\bar K}, GBs1BKˉG_{B_{s1}B^{*}\bar K}, FBs1BKˉF_{B_{s1}B^{*}\bar K}, GBs2BKˉG_{B_{s2}B\bar K} and GBs2BKˉG_{B_{s2}B^{*}\bar K}.

Keywords

Cite

@article{arxiv.1202.1224,
  title  = {The Strong Decays of Orbitally Excited $B^{*}_{sJ}$ Mesons by Improved Bethe-Salpeter Method},
  author = {Zhi-Hui Wang and Guo-Li Wang and Hui-Feng Fu and Yue Jiang},
  journal= {arXiv preprint arXiv:1202.1224},
  year   = {2015}
}

Comments

21 pages, 1 figure, 4 tables