On the nonrelativistic dynamics of heavy particles near the production threshold

TL;DR

This paper presents a solution to the Schrödinger equation for heavy quark-antiquark pairs near production threshold, offering insights into nonrelativistic dynamics and effective mass scale choices.

Contribution

It provides a new solution for the nonrelativistic Green function relevant to heavy quark pair production near threshold, with a comparison to existing results.

Findings

Derived a solution for the nonrelativistic Green function

Compared new results with existing models

Discussed effective mass scale selection

Abstract

A solution to the Schrodinger equation for the nonrelativistic Green function which is used for describing the heavy quark-antiquark pair production near the threshold in $e^+e^-$ annihilation is presented. A quick comparison with existing results is given. A choice of the effective mass scale for the nonrelativistic system with Coulomb interaction is discussed.