Systematic study of baryon-baryon interactions in singly bottomed systems

Abstract

In this work, we systematically investigate the baryon-baryon interactions in singly bottomed dibaryon systems within the chiral quark model and search for possible bound states. By exploring the baryon-baryon interaction, we find that low-isospin channels tend to generate deeper attractive interactions and are prone to form bound states. We also find that decuplet-decuplet systems tend to show stronger attraction and support a larger number of bound states, whereas octet-octet systems generally exhibit weaker attraction and fewer bound solutions. The binding behavior of octet-decuplet systems generall lies between these two cases. Several bound states are obtained, which are $\Delta {\Sigma }_b^{\ast }$ with $IJ=\frac{1}{2}0$, $\frac{1}{2}1$, $\frac{1}{2}2$, $\frac{1}{2}3$, and $\frac{3}{2}3$, the $\Delta {\Sigma }_b$ with $IJ=\frac{1}{2}1$, $\frac{1}{2}2$, $\frac{3}{2}1$, and $\frac{3}{2}2$, the $N{\Sigma }_b^{\ast }$ with $IJ=\frac{1}{2}2$, the $\Sigma {\Sigma }_b$ with $IJ=00$, $01$, and $11$, the $\Sigma {\Sigma }_b^{\ast }$ with $IJ=01$ and $02$, the ${\Sigma }^{\ast }{\Sigma }_b$ with $IJ=01$ and $02$, and the ${\Sigma }^{\ast }{\Sigma }_b^{\ast }$ with $IJ=00$, $01$, $02$, $03$, and $13$. Further investigations of the corresponding scattering processes are still required to determine whether these bound-state candidates can be identified. These states deserve further experimental investigation.

Comments: 14 pages, 11 figures