Probing double hadron resonance by complex momentum representation method

TL;DR

This paper introduces a novel application of the complex momentum representation (CMR) method to study hadron resonant states, demonstrating its high accuracy and effectiveness for both narrow and broad resonances in various systems.

Contribution

The paper develops and applies the CMR method to hadron physics, providing a new tool for precise resonance analysis without unphysical parameters.

Findings

CMR method clearly exposes resonant states in complex momentum plane.

Resonance parameters are determined with high precision.

Method is effective for both narrow and broad resonances.

Abstract

Resonances are ubiquitous phenomena in nature, and physicists have developed many methods to explore resonant states. Of particular note is the complex momentum representation(CMR) method, which has been developed and widely used in the study of resonant states in atomic, molecular and nuclear physics. Here, for the first time, we have developed this novel method to study hadron resonant states. The CMR method is applied to probe the bound and resonant states for the $\Lambda_cD(\bar{D})$ and $\Lambda_c\Lambda_c(\bar{\Lambda}_c)$ systems, in which the resonant states are exposed clearly in complex momentum plane and the resonance parameters can be determined precisely without imposing unphysical parameters. The results show that the CMR method has achieving higher accuracy than other widely used methods. This method is not only very effective for narrow resonances, but also can be reliably applied to broad resonances.