Radiative decays of the doubly charmed baryons in chiral perturbation theory

TL;DR

This paper calculates the transition magnetic moments and decay widths of doubly charmed baryons using heavy baryon chiral perturbation theory up to next-to-next-to-leading order, providing detailed numerical predictions.

Contribution

It presents the first systematic calculation of doubly charmed baryon transition magnetic moments and decay widths at NNLO in HBChPT.

Findings

Transition magnetic moments and decay widths are numerically estimated.

Results include specific values for different doubly charmed baryon transitions.

The study advances theoretical understanding of doubly charmed baryon radiative decays.

Abstract

We have systematically investigated the spin-$\frac{3}{2}$ to spin-$\frac{1}{2}$ doubly charmed baryon transition magnetic moments to the next-to-next-to-leading order in the heavy baryon chiral perturbation theory (HBChPT). Numerical results of transition magnetic moments and decay widths are presented to the next-to-leading order: $\mu_{\Xi_{cc}^{*++}\rightarrow\Xi_{cc}^{++}}=-2.35\mu_{N}$, $\mu_{\Xi_{cc}^{*+}\rightarrow\Xi_{cc}^{+}}=1.55\mu_{N}$, $\mu_{\Omega_{cc}^{*+}\rightarrow\Omega_{cc}^{+}}=1.54\mu_{N}$, $\Gamma_{\Xi_{cc}^{*++}\rightarrow\Xi_{cc}^{++}}=22.0$ keV, $\Gamma_{\Xi_{cc}^{*+}\rightarrow\Xi_{cc}^{+}}=9.57$ keV, $\Gamma_{\Omega_{cc}^{*+}\rightarrow\Omega_{cc}^{+}}=9.45$ keV.