Calculating Masses of Pentaquarks Composed of Baryons and Mesons

TL;DR

This paper models pentaquarks as baryon-meson bound states, simplifying a complex five-body problem to a two-body problem and calculating their masses using the Lippmann-Schwinger equation with one pion exchange potential.

Contribution

It introduces a baryon-meson approach to estimate pentaquark masses, simplifying the multi-body problem and providing specific mass calculations for certain pentaquarks.

Findings

Calculated masses of $ heta_{c}$ and $ heta_{b}$ pentaquarks.

Demonstrated the effectiveness of the baryon-meson model.

Used the Lippmann-Schwinger equation with one pion exchange potential.

Abstract

In this paper, we consider an exotic baryon (pentaquark) as a bound state of two-particle systems composed of a baryon (nucleon) and a meson.We used a baryon - meson picture to reduce a complicated five-body problem to a simple two-body problems. The homogeneous Lippmann-Schwinger integral equation is solved in configuration space by using one pion exchange potential. We calculate the masses of pentaquarks $\theta_{c}(uudd\bar{c})$, $\theta_{b}(uudd\bar{b})$.