Complex masses of resonances and the Cornell potential

TL;DR

This paper investigates the properties of the Cornell potential within a complex-mass framework, deriving a resonance mass formula and calculating the masses and widths of rho-family resonances.

Contribution

It introduces a novel complex-mass scheme for the Cornell potential and derives an exact asymptotic resonance mass formula.

Findings

Derived a resonance complex-mass formula using asymptotic solutions.

Calculated the centered masses and total widths of rho-family resonances.

Provided insights into the physical properties of the Cornell potential in the complex-mass scheme.

Abstract

Physical properties of the Cornell potential in the complex-mass scheme are investigated. Two exact asymptotic solutions of relativistic wave equation for the coulombic and linear components of the potential are used to derive the resonance complex-mass formula. The centered masses and total widths of the $\rho$-family resonances are calculated.