Three-body calculation of the Delta-Delta dibaryon candidate D(03) at 2.37 GeV

TL;DR

This paper models the D(03) dibaryon as a resonance in a three-body pion-nucleon-Delta system, predicting its mass and width consistent with experimental observations at 2.37 GeV.

Contribution

It introduces a three-body dynamical model to calculate the properties of the D(03) dibaryon, linking theoretical predictions with experimental resonance data.

Findings

Mass and width of D(03) match experimental resonance

Model reproduces observed resonance peak at 2.37 GeV

Effective two-body problem solved for Delta-Delta' system

Abstract

The D(03) dibaryon is generated dynamically as a resonance pole in a pion-nucleon-Delta' three-body model, where Delta' is a stable Delta baryon. Using separable interactions dominated by the Delta(1232) isobar for pion-nucleon and by the D(12) isobar for nucleon-Delta', where D(12) is the nucleon-Delta 2150 MeV dibaryon deduced in and constrained by 1D2 pp scattering, the model reduces to an effective two-body problem for Delta-Delta' which is solved. The mass and width of D(03) are found close to those of the I(JP)=0(3+) resonance peak observed by WASA@COSY in pion-production pn collisions at 2.37 GeV.