Triply heavy baryon mass estimated within pNRQCD

TL;DR

This paper estimates the masses of triply heavy baryons using potential NRQCD, employing a numerical diagonalization approach with a variational method to handle the complex three-body problem.

Contribution

It introduces a novel application of potential NRQCD to triply heavy baryons using a variational numerical diagonalization approach.

Findings

Mass estimates for triply heavy baryons obtained.

Demonstrates feasibility of three-body calculations within pNRQCD.

Provides a framework for future precise mass computations.

Abstract

Potential-NRQCD offers an effective-theory based approach to heavy-quark physics. While meson Q-anti_Q computations are tractable in pure alpha_s-perturbation theory, more complex many-body quark systems transcend it. A possibility inherited from nuclear physics is to employ the perturbative static potentials in a numerical diagonalization, eventually obtaining the exact lowest eigenvalue in each channel for a given-order perturbative potential. The power counting is manifest in the potential instead of the spectrum. The NNLO-potential for the 3-body problem is already available, so we have addressed triply-heavy baryons in this initial work with a computer-aided 2-parameter variational treatment.