The heavy mesons in Nambu--Jona-Lasinio model

TL;DR

This paper extends the Nambu--Jona-Lasinio model to incorporate heavy mesons with heavy quark symmetry, enabling unified calculations of meson properties across light and heavy sectors.

Contribution

It introduces a generalized interaction including heavy quark currents and mass-dependent interaction strength to respect heavy quark spin symmetry.

Findings

Calculated masses and decay constants of light and heavy mesons.

Unified framework for light and heavy meson properties.

Consistency with heavy quark symmetry at the heavy quark limit.

Abstract

We propose an extended Nambu--Jona-Lasinio model to include the heavy mesons with the heavy quark symmetry. The quark current-current interaction is generalized to include the heavy quark currents. In order to comply with the heavy quark spin symmetry at the heavy quark limit, the quark mass dependence of the interaction strength is introduced. The light and heavy pseudo-scalar and vector meson, their masses and the weak decay constants, are calculated in the unified frame.