Compositeness of bound states in chiral unitary approach

TL;DR

This paper investigates the internal structure of bound states generated dynamically within the chiral unitary approach, linking their compositeness to the loop integral's subtraction constant and the wavefunction renormalization.

Contribution

It introduces a method to quantify the compositeness of bound states in the chiral unitary framework, connecting it to the subtraction constant of loop integrals.

Findings

Compositeness is related to the subtraction constant in loop integrals.

The compositeness condition aligns with the natural renormalization scheme.

The approach provides a way to analyze the structure of dynamically generated states.

Abstract

We study the structure of dynamically generated bound states in the chiral unitary approach. The compositeness of a bound state is defined through the wavefunction renormalization constant in the nonrelativistic field theory. We apply this argument to the chiral unitary approach and derive the relation between compositeness of the bound state and the subtraction constant of the loop integral. The compositeness condition is fairly compatible with the natural renormalization scheme, previously introduced in a different context.