Pion-assisted $N\Delta$ and $\Delta\Delta$ dibaryons, and beyond

TL;DR

This paper reviews hadronic-basis Faddeev calculations of pion-assisted nonstrange dibaryons, successfully reproducing the properties of the ${ m D}_{03}(2370)$ state and predicting its exotic partner, with extensions to strange dibaryons.

Contribution

It provides the first Faddeev calculations that accurately reproduce the width of the ${ m D}_{03}(2370)$ dibaryon and predicts new dibaryon states including an exotic partner.

Findings

Successfully reproduces the ${ m D}_{03}(2370)$ width of 70-80 MeV.

Predicts the location and width of the exotic ${ m D}_{30}$ dibaryon.

Discusses extensions to strangeness ${ m S}=-1$ dibaryons.

Abstract

Experimental evidence for $I(J^P)=0(3^+)$ $\Delta\Delta$ dibaryon ${\cal D}_{03}(2370)$ has been presented recently by the WASA-at-COSY Collaboration. Here I review new hadronic-basis Faddeev calculations of $L=0$ nonstrange pion-assisted $N\Delta$ and $\Delta\Delta$ dibaryon candidates. These calculations are so far the only ones to reproduce the relatively small ${\cal D}_{03}(2370)$ width of 70--80 MeV. Predictions are also given for the location and width of ${\cal D}_{30}$, the $I(J^P)=3(0^+)$ exotic partner of ${\cal D}_{03}(2370)$. Extensions to strangeness ${\cal S}=-1$ dibaryons are briefly discussed.