Masses and semileptonic decays of doubly heavy baryons in a nonrelativistic quark model

TL;DR

This paper calculates masses and semileptonic decay widths of doubly heavy baryons using a nonrelativistic quark model, achieving results consistent with relativistic and lattice data, and explores heavy-quark symmetry limits.

Contribution

It introduces a variational approach constrained by heavy-quark spin symmetry to evaluate properties of doubly heavy baryons within a nonrelativistic framework.

Findings

Masses agree with relativistic and lattice calculations.

Decay widths are consistent with relativistic quark-diquark models.

Wave functions conform to heavy-quark symmetry expectations.

Abstract

We evaluate masses and semileptonic decay widths for the ground state of doubly heavy $\Xi$ and $\Omega$ baryons in the framework of a nonrelativistic quark model. We solve the three-body problem by means of a variational ansatz made possible by heavy-quark spin symmetry constraints. Our masses are comparable to the ones obtained in relativistic calculations and we get one of the best agreements with lattice data. Our simple wave functions are used to evaluate semileptonic decays of doubly heavy $\Xi, \Xi'(J=1/2)$ and $\Omega, \Omega'(J=1/2)$ baryons. Our results for the decay widths are in reasonable agreement with calculations done in a relativistic calculation in the quark-diquark approximation. We also check that our wave functions comply with what it is expected in the infinite heavy quark mass limit.