Decay Constant of Pseudoscalar Meson in the Heavy Mass Limit

TL;DR

This paper investigates the decay constant of pseudoscalar mesons using a relativistic quark model, focusing on relativistic effects and the heavy mass limit for systems with equal masses.

Contribution

It introduces a relativistic constituent quark model on the point form of Poincare-covariant quantum mechanics to analyze decay constants in the heavy quark limit.

Findings

Relativistic corrections significantly impact decay constants.

Decay constant behavior in the heavy mass limit is characterized.

Model provides insights into pseudoscalar meson properties.

Abstract

The leptonic decay constant of the pseudoscalar mesons a calculated by use of the relativistic constituent quark model constructed on the point form of Poincare-covariant quantum mechanics. We discuss the role relativistic corrections for decay constants of pseudoscalar mesons with heavy quarks. We consider the heavy mass limit of decay constant for two-particle system with equal masses.