Excitation spectra of heavy baryons in a quark-diquark model with relativistic corrections

TL;DR

This paper investigates the excitation spectra of mbda_c and mbda_b baryons using a quark-diquark model with relativistic corrections, highlighting the importance of these corrections for understanding baryon properties.

Contribution

The study introduces two types of relativistic corrections in a quark-diquark model to analyze heavy baryon spectra, emphasizing the impact of internal diquark structure on results.

Findings

Relativistic corrections significantly affect the excitation spectra.

Different treatments of the diquark's internal structure lead to large differences.

The Darwin term plays a crucial role in resolving the string tension puzzle.

Abstract

The excitation spectra of \Lambda_c and \Lambda_b baryons are investigated by using a quark-diquark model in which a single-heavy baryon is treated as the bound state of a heavy quark and a scalar diquark. We take two types of relativistic corrections into account for the quark-diquark potential. In the first type, we consider the one-gluon exchange between the heavy quark and one of the light quarks in the diquark. In the second, we consider the one-gluon exchange between a scalar particle and a heavy quark. We find that there is a large difference between two types of corrections due to different treatment of the internal color structure of the diquark. The relativistic corrections are important for the solution to the string tension puzzle, particularly, the Darwin term makes a large contribution.