Masses and radiative decay widths of S- and P-wave singly-, doubly- and triply-heavy charm and bottom baryons

TL;DR

This paper investigates the mass spectra and electromagnetic properties of heavy baryons with one, two, or three heavy quarks using a harmonic oscillator quark model, providing predictions and mass rules to aid experimental identification.

Contribution

It introduces a comprehensive non-relativistic harmonic oscillator model for heavy baryons, fitting known masses and deriving mass rules and electromagnetic coupling expressions.

Findings

Achieved a 19 MeV RMS deviation in mass predictions.

Derived equal-spacing mass rules for excited heavy baryons.

Provided explicit formulas for electromagnetic couplings.

Abstract

We present a study of mass spectra and electromagnetic couplings of S- and P-wave baryons containing one, two or three heavy quarks, either charm (c) or bottom (b), in the framework of a non-relativistic harmonic oscillator quark model. A simultaneous fit to 41 known masses of heavy baryons (40 singly-heavy and 1 doubly-heavy) shows a r.m.s. deviation of 19 MeV. We present equal-spacing mass rules for excited baryons which may help to assign quantum numbers to experimentally observed heavy baryons. Explicit expressions are derived for electromagnetic couplings, both for spin-flavor matrix elements and radial integrals.