Wave functions of multiquark hadrons from representations of the symmetry groups S n

Miesch, Nicholas; Shuryak, Edward

doi:10.1103/PhysRevD.110.094022

Title: Wave functions of multiquark hadrons from representations of the symmetry groups $S_{n}$

Journal Article · 12 November 2024 · Physical Review. D.

DOI: https://doi.org/10.1103/PhysRevD.110.094022 · OSTI ID:2477119

; Shuryak, Edward

Construction of the wave functions of multiquark hadrons by a traditional method based on the tensor products of colors, flavors, spins (and orbital) parts becomes quite complex when quark numbers grow $n = 5, 6 \dots 12$ , as it gets difficult to satisfy the requirements of Fermi statistics. Our novel approach is focused directly on representations of the permutation symmetry generators. After showing how $C_{3}$ is manifested in the wave functions of (excited) baryons, we use it to construct the wave functions for a set of pentaquarks and hexaquarks ( $n = 5, 6$ ). We also have some partial results for larger systems, with $n = 9$ and 12, and even beyond that as far as $n = 24$ . Published by the American Physical Society 2024

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Sponsoring Organization:: USDOE

OSTI ID:: 2477119

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 9 Vol. 110; ISSN PRVDAQ; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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