Mass of nonrelativistic meson from leading twist distribution amplitudes

TL;DR

This paper derives relations connecting the masses of nonrelativistic pseudoscalar and vector mesons to their leading twist distribution amplitudes, providing a theoretical tool for mass calculations in QCD.

Contribution

It introduces a method to calculate meson masses from distribution amplitudes, extending the Gremm-Kapustin relation within NRQCD framework.

Findings

Derived relations enable mass calculations from distribution amplitudes.

Reformulation as relations between meson masses and QCD operators.

Provides an exact version of the Gremm-Kapustin relation in NRQCD.

Abstract

In this paper distribution amplitudes of pseudoscalar and vector nonrelativistic mesons are considered. Using equations of motion for the distribution amplitudes, it is derived relations which allow one to calculate the masses of nonrelativistic pseudoscalar and vector meson if the leading twist distribution amplitudes are known. These relations can be also rewritten as relations between the masses of nonrelativistic mesons and infinite series of QCD operators, what can be considered as an exact version of Gremm-Kapustin relation in NRQCD.