Decay constants of $P$-wave mesons

TL;DR

This paper calculates decay constants of P-wave mesons using the relativistic Bethe-Salpeter framework, providing detailed wave functions, mass spectra, and decay constants for various heavy meson states.

Contribution

It introduces a relativistic approach to compute P-wave meson decay constants, including wave functions and mass spectra, within the Bethe-Salpeter formalism.

Findings

Computed decay constants for heavy-heavy and heavy-light P-wave mesons.

Provided relativistic wave functions with definite parity and charge conjugation.

Solved full Salpeter equations to obtain mass spectra and wave functions.

Abstract

Decay constants of $P$-wave mesons are computed in the framework of instantaneous Bethe-Salpeter method (Salpeter method). By analyzing the parity and possible charge conjugation parity, we give the relativistic configurations of wave functions with definite parity and possible charge conjugation parity. With these wave functions as input, the full Salpeter equations for different $P$-wave states are solved, and the mass spectra as well as the numerical values of wave functions are obtained. Finally we compute the leptonic decay constants of heavy-heavy and heavy-light $^3P_0$, $^3P_1$ and $^1P_1$ states.