On the ambiguity of the interfering resonances parameters determination

TL;DR

This paper investigates the ambiguity in determining parameters of interfering resonances, revealing multiple solutions and deriving analytical relations, supported by numerical experiments with fixed and energy-dependent widths.

Contribution

It introduces an analytical framework for understanding the ambiguity in resonance parameter determination and confirms it through numerical simulations.

Findings

Two solutions exist for fixed width resonances.

Analytical relations link different solutions.

Ambiguity persists in energy-dependent width models.

Abstract

In this paper the interfering resonances parameters determination ambiguity is considered. It is shown that there are two solutions for two fixed width resonances. Analytical relation between different solutions is derived. Numeric experiments for fixed width three and four resonances, and for model energy-dependent width two resonances confirm ambiguity of the resonances parameters determination.