Light meson masses from baryon interaction states?

We examine interaction states between baryons in U(3) configurations. Such interaction states may represent the meson mass spectrum above the pion triplet. Our configuration space is the Lie group U(3) with a Hamiltonian structure for baryons as stationary states. Mesonic states come about via an in...

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Bibliographic Details
Published in:Europhysics letters 2020-08, Vol.131 (3), p.31001
Main Author: Trinhammer, Ole L.
Format: Article
Language:English
Subjects:
Baryons
Configurations
Eigenvalues
Hamiltonian functions
Lie groups
Pions
Rayleigh-Ritz method
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Summary:We examine interaction states between baryons in U(3) configurations. Such interaction states may represent the meson mass spectrum above the pion triplet. Our configuration space is the Lie group U(3) with a Hamiltonian structure for baryons as stationary states. Mesonic states come about via an interaction potential. The Hamiltonian can be diagonalized by a Rayleigh-Ritz method resulting in matrix element integrals that can be solved analytically for the toroidal degrees of freedom by expanding on a suitable set of base functions. We compare calculated eigenvalues for indefinite parity states to observed unflavoured meson masses.
ISSN:0295-5075
1286-4854
DOI:10.1209/0295-5075/131/31001