Mass spectra and decay constants of heavy-light axial quarkonia in the framework of Bethe-Salpeter equation

Abstract

In this work we calculate the mass spectrum and decay constants of ground and excited states of heavy-light $P$-wave mesons such as $1^{++}$ and $1^{+-}$, with quark composition, $c\overline{u},c\overline{s},b\overline{u},b\overline{s}$, and $b\overline{c}$ in the framework of a QCD motivated Bethe-Salpeter equation (BSE) by making use of the exact treatment of the spin structure $({\gamma }_{\mu }⨂{\gamma }_{\mu })$ in the interaction kernel, In this $4\times 4$ BSE framework, the coupled Salpeter equations for $Q\overline{q}$ are first solved for the confining part of interaction, and are shown to decouple under heavy-quark approximation. Then the one-gluon-exchange interaction is perturbatively incorporated, leading to their mass spectral equations. The analytic forms of wave functions obtained from these equations are then used for calculation of leptonic decay constants of ground and excited states of $1^{++}$, and $1^{+-}$ as a test of these wave functions and the over all framework.

arXiv comment5 tables, 4 figures. arXiv admin note: text overlap with arXiv:1901.01888

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Cited by in corpus (2)

• Models and Potentials in Hadron Spectroscopy
• $E1$ and M1 radiative transitions involving heavy-light axial, pseudoscalar and vector quarkonia in the framework of Bethe-Salpeter equation