Abstract

In this paper, we investigate three symmetry breaking effects in strong and radiative decays of strange heavy mesons. We study 1/m_Q corrections within the heavy quark effect theory, as well as SU(3) and SU(2) symmetry breakings induced by light quark mass differences and the \eta-\pi mixing vertex. These effects are studied in a covariant model. The numerical results show that the 1/m_Q corrections of the coupling constants are consistent with \alpha_s \Lambda_{QCD}/m_Q. The SU(3) symmetry violating effect of the strong coupling constant is obviously larger than that of the magnetic coupling constant. The value of the \eta-\pi mixing vertex has some changes because of the renewed data. As compared with the other theoretical calculations and the experimental data, our radiative decay rates are much larger than those of the other theoretical methods, except for \chiPT; however, our branching ratios are close to the experimental data.

Highlights

  • For excited strange heavy mesons (Ds∗, Bs∗), pion and/or photon emissions are the dominant decay modes which determine their lifetimes [1]

  • In 1989, it was realized that, in low-energy situations where the typical gluon momenta are small compared with the heavy quark mass (m Q), quantum chromodynamics (QCD) dynamics becomes independent of the flavor and spin of the heavy quark [4–6]

  • The purpose of this paper is to systematically study these symmetry breaking effects in a covariant model for the strong and radiative decays of strange heavy mesons

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Summary

Introduction

For excited strange heavy mesons (Ds∗, Bs∗), pion and/or photon emissions are the dominant decay modes which determine their lifetimes [1] Of these decay modes, the radiative decay, Ds∗ → Dsγ , and the only kinematically allowed strong decay, Ds∗ → Dsπ , which is the isospinviolating mode, have been observed, and the branching ratio (Ds∗ → Dsπ )/ (Ds∗ → Dsγ ) has been measured by the CLEO [2] and BaBar collaborations [3]. The development of HQET from QCD has simplified the analysis of heavy hadron physics, many properties of hadrons, for example, their decay constants and axial coupling constants, are still not calculable directly from QCD To study these quantities, one unavoidably has to use phenomenological models to describe the structures of hadrons.

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Formalism
Covariant model
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Strong coupling constant
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Magnetic coupling constant
Numerical results and discussion
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Conclusions
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