Pentaquarks on the light front, and their mixture with baryons

TL;DR

This paper extends the light front formulation to analyze pentaquarks, determining their masses and wave functions, and explores their mixing with baryons to understand the baryonic antiquark sea.

Contribution

It introduces a method to compute pentaquark properties and their mixing with baryons within the light front framework, expanding previous baryon models to five-quark states.

Findings

Calculated pentaquark masses and wave functions.

Analyzed baryon-pentaquark mixing effects.

Provided insights into the antiquark sea in baryons.

Abstract

In previous papers we developed the light front formulation for Hamiltonians and wave functions (WFs) for mesons and baryons, with both confinement and chiral symmetry breaking. For baryons limited to the lowest Fock component with three quarks, the longitudinal WF is valued in an equilateral triangle with momentum fractions $x_i,i=1,2,3$. The WF was developed both numerically and using a basis function that diagonalizes the Laplacian with Dirichlet boundary conditions. In this paper we extend this analysis to $n$ quark states, and specialize to pentaquarks ($n=5$). We determine their masses and WFs, and address the mixing between baryons and pentaquarks, the issue central to understanding the observed antiquark sea of baryons.