Magnetic moments of the spin-$1\over 2$ singly charmed baryons in chiral perturbation theory

TL;DR

This paper calculates the magnetic moments of spin-1/2 singly charmed baryons using heavy baryon chiral perturbation theory up to next-to-next-to-leading order, incorporating lattice QCD data and heavy quark symmetry.

Contribution

It provides analytical expressions and numerical estimates for magnetic moments at high order, utilizing novel methods to estimate low energy constants.

Findings

Analytical expressions for magnetic moments derived up to NNLO.

Numerical results for antitriplet and sextet baryons.

Use of lattice QCD and quark model to estimate LECs.

Abstract

We systematically derive the analytical expressions of the magnetic moments of the spin-$1\over 2$ singly charmed baryons to the next-to-next-to-leading order in the heavy baryon chiral perturbation theory (HBChPT). We discuss the analytical relations between the magnetic moments. We estimate the-low energy constants (LECs) in two scenarios. In the first scenario, we use the quark model and Lattice QCD simulation results as input. In the second scenario, the heavy quark symmetry is adopted to reduce the number of the independent LECs, which are then fitted using the data from the Lattice QCD simulations. We give the numerical results to the next-to-leading order for the antitriplet charmed baryons and to the next-to-next-to-leading order for the sextet states.