Experimental tests of sum rules for heavy baryon masses

TL;DR

This paper tests model-independent sum rules for heavy baryon masses, finding they generally hold well and support the assumption of baryon-independent quark-quark interactions, with implications for baryon mass calculations.

Contribution

It provides experimental validation for sum rules based on baryon independence, without relying on specific quark-quark interaction models.

Findings

Sum rules are generally well satisfied by experimental data.

Baryon independence of quark-quark interactions is supported.

Better experimental accuracy is needed for more precise tests.

Abstract

Model independent sum rules for heavy baryon masses are tested for baryons containing charmed or bottom quarks. The sum rules depend only on the assumption that baryon mass differences are determined by spin-dependent two-body energies of quark pairs that do not depend on which baryon the quark pair is in. No assumption is made about the details of the quark-quark interaction. The sum rules are generally well satisfied, although better experimental accuracy would be required for a quantitative test of some of the sum rules. The success of the sum rules is evidence that "baryon independence" of quark-quark interaction is a good assumption for baryon mass calculations. It also means that the success of some detailed baryon mass calculations may not depend on the specific mechanism used in the calculation.