Wave functions of multiquark hadrons from representations of the symmetry groups <math display="inline"><msub><mi>S</mi><mi>n</mi></msub></math> - INSPIRE

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

Nicholas Miesch
(
- Stony Brook U.
)
,
Edward Shuryak
(
- Stony Brook U.
)

Jun 7, 2024

19 pages

Published in:

Phys.Rev.D 110 (2024) 9, 094022

Published: Nov 1, 2024

e-Print:

2406.05024 [hep-ph]

DOI:

10.1103/PhysRevD.110.094022 (publication)

View in:

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Abstract: (APS)

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

.

References(25)

Figures(3)

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