Masses and magnetic moments of hadrons with one and two open heavy quarks: heavy baryons and tetraquarks

TL;DR

This paper calculates the masses and magnetic moments of heavy baryons and tetraquarks using the MIT bag model, highlighting the need for extra binding energy and predicting specific masses for doubly charmed baryons and strange tetraquarks.

Contribution

It provides a unified framework for computing properties of heavy hadrons and introduces the necessity of additional binding energy between heavy quarks within the MIT bag model.

Findings

Predicted masses for doubly charmed baryons: 3.604 GeV and 3.714 GeV.

Mass prediction for strange isosinglet tetraquark: 2.934 GeV.

Sizable state mixing due to chromomagnetic interaction for certain tetraquarks.

Abstract

In this work, we compute masses and magnetic moments of the heavy baryons and tetraquarks with one and two open heavy flavors in a unified framework of MIT bag model. Using the parameters of MIT bag model, we confirm that an extra binding energy, which is supposed to exist between heavy quarks ($c$ and $b$) and between heavy and strange quarks in literatures, is required to reconcile light hadrons with heavy hadrons. Numerical calculations are made for all light mesons, heavy hadrons with one and two open heavy flavors, predicting the masses of doubly charmed baryons to be $ M(\Xi _{cc})=3.604$ GeV, $ M(\Xi _{cc}^{\ast })=3.714$ GeV, and that of the strange isosinglet tetraquark $ud\bar{s}\bar{c}$ with $J^{P}=0^{+}$ to be $ M\left( ud\bar{s}\bar{c},0^{+}\right) =2.934$ GeV. The state mixing due to chromomagnetic interaction is shown to be sizable for the strange scalar tetraquark $nn\bar{s}\bar{c}$.