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Pentaquarks made of light quarks and their admixture to baryons
Phys. Rev. D 112, 074017 – Published 15 October, 2025
DOI: https://doi.org/10.1103/vdp9-mmbj
Abstract
This paper is a continuation of our studies of multiquark hadrons. The antisymmetrization of their wave functions required by Fermi statistics is nontrivial, as it mixes orbital, color, spin, and flavor structures. In our previous papers we developed a method to find them based on the representations of the permutation group, and derived the explicit wave functions for baryons excited to the first and second shells (, 2), tetraquarks and hexaquarks (). Now we apply it to light pentaquarks (), in the S- and P-shells (, 1). Using Jacobi coordinates, one can use the hyperdistance approximation in 12-dimensional space. We further address the issue of “unquenching” of baryons, by considering their mixing with pentaquarks, via two channels, through the addition of -like or -like pairs. This mixing is central for understanding of the observed flavor asymmetry of the antiquark sea, the amount of orbital motion issue as well as other nucleon properties.
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Note that while format for large vectors and matrices may speed things up, in this form some general commands like Expand, Conjugate, ComplexExpand etc do not work (in version 14.1), thus it is safer to use format for such manipulations.
Note that in [16] the number of compatible states is 17, and they are not organized into Fermi-statistics-compliant combinations. We also disagree with the way their energies are derived from their Hamiltonian.
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