Doubly charmed baryon-light meson scattering in chiral effective theory with lattice constraints

Abstract

We study the scattering of the ground states of doubly charmed baryons ($\Xi_{cc}^{++},\Xi_{cc}^{+},\Omega_{cc}^{+}$) and light-flavor pseudoscalar mesons ($\pi,K,\eta$) up to the next-to-leading order within chiral effective theory. We perform the unitarization of the $S$-wave scattering amplitudes in order to study the excited doubly charmed baryons. The unknown next-to-leading order low energy constants are determined through the fits to recent lattice data in the elastic scattering processes based on the CLQCD ensembles. Following the chiral extrapolation to physical quark masses, we predict resonance, virtual and bound doubly-charmed-baryon states arising from the single- and coupled-channel scattering of $\Xi_{cc}^{++},\Xi_{cc}^{+},\Omega_{cc}^{+}$ with $\pi,K,\eta$. Furthermore, we also calculate the corresponding scattering lengths, effective ranges, phase shifts and inelasticities at physical quark masses, which could shed light on future experimental searches and lattice simulations.