The masses and axial currents of the doubly charmed baryons

TL;DR

This paper derives high-order chiral corrections to the masses and axial properties of doubly heavy baryons, providing analytical tools for future lattice QCD studies and estimating the mass of the Omega_cc baryon.

Contribution

It presents the first systematic calculation of chiral corrections up to N$^3$LO for doubly heavy baryons, including mass splittings and axial currents, with practical implications for lattice QCD.

Findings

Estimated the Omega_cc mass to be around 3.678 GeV using experimental data.

Derived chiral corrections to baryon masses up to N$^3$LO.

Provided analytical expressions for axial currents and charges.

Abstract

The chiral dynamics of the doubly heavy baryons is solely governed by the light quark. In this work, We have derived the chiral corrections to the mass of the doubly heavy baryons up to N$^3$LO. The mass splitting of $\Xi_{cc}$ and $\Omega_{cc}$ at the N$^2$LO depends on one unknown low energy constant $c_7$. With the experimental mass of $\Xi_{cc}(3520)$ as the input, we estimate the mass of $\Omega_{cc}$ to be around 3.678 GeV. Moreover, we have also performed a systematical analysis of the chiral corrections to the axial currents and axial charges of the doubly heavy baryons. The chiral structure and analytical expressions will be very useful to the chiral extrapolations of the future lattice QCD simulations of the doubly heavy baryons.