Delta rho pi interaction leading to N* and Delta* resonances

TL;DR

This paper investigates the interactions within the three-body Delta-rho-pi system using a fixed center approximation, revealing resonances that correspond to known N* and Delta* baryon states.

Contribution

It introduces a novel calculation of the three-body Delta-rho-pi system using the fixed center approximation with interactions derived from the chiral unitary approach.

Findings

Identification of resonance peaks in the scattering amplitude

Resonances associated with known N* and Delta* states

Supports the molecular interpretation of certain baryons

Abstract

We have performed a calculation for the three body $\Delta \rho \pi$ system by using the fixed center approximation to Faddeev equations, taking the interaction between $\Delta$ and $\rho$, $\Delta$ and$\pi$, and $\rho$ and $\pi$ from the chiral unitary approach. We find several peaks in the modulus squared of the three-body scattering amplitude, indicating the existence of resonances, which can be associated to known $I=1/2, 3/2$ and $J^P=1/2^+, 3/2^+$ and $5/2^+$ baryon states.