Masses of doubly heavy-quark baryons in an extended chromomagnetic model

TL;DR

This paper extends the chromomagnetic model to include color interactions, enabling more accurate predictions of masses for doubly and triply heavy-quark baryons, aligning well with recent experimental findings.

Contribution

The study introduces effective mass parameters for quark pairs considering color interactions, improving mass predictions for heavy baryons within an extended chromomagnetic framework.

Findings

Accurately predicts masses of doubly and triply heavy baryons.

Fits the observed $\\Xi_{cc}$ baryon mass with a 12 MeV error.

Provides a systematic method for estimating heavy quark pair masses.

Abstract

We extend the chromomagnetic model by further considering the effect of color interaction. The effective mass parameters between quark pairs ($m_{qq}$ or $m_{q\bar{q}}$) are introduced to account both the effective quark masses and the color interaction between the two quarks. Using the experimental masses of hadrons, the quark pair parameters are determined between the light quark pairs and the light-heavy quark pairs. Then the parameters of heavy quark pairs ($cc$, $cb$, $bb$) are estimated based on simple quark model assumption. We calculate all masses of doubly and triply heavy-quark baryons. The newly discovered doubly charmed baryon $\Xi_{cc}$ fits into the model with an error of 12 MeV.