Relativistic five-quark equations and the strange (S = - 3) pentaquarks

TL;DR

This paper develops relativistic five-quark equations to predict the mass spectra of strange pentaquarks with S = -3, using dispersion relations and amplitude singularity extraction methods.

Contribution

It introduces a novel relativistic five-quark framework for calculating strange pentaquark masses, expanding theoretical understanding of exotic hadrons.

Findings

Mass spectra for strange pentaquarks with JP=1/2, 3/2 calculated

Relativistic five-quark equations derived and solved

Method based on leading singularities of amplitudes used

Abstract

The relativistic five-quark equations are found in the framework of the dispersion relation technique. The solutions of these equations using the method based on the extraction of the leading singularities of the amplitudes are obtained. The five-quark amplitudes for the S = -3 strange pentaquarks including the u, d, s quarks determine the masses of strange pentaquarks. The mass spectra of the strange pentaquarks with JP=1/2, 3/2 are calculated.