Volume 131, Number 3, August 2020
|Number of page(s)||7|
|Section||The Physics of Elementary Particles and Fields|
|Published online||26 August 2020|
Light meson masses from baryon interaction states?
Department of Physics, Technical University of Denmark - Fysikvej bld 307, DK 2800 Kongens Lyngby, Denmark
Received: 6 May 2020
Accepted: 22 July 2020
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.
PACS: 12.40.Yx – Hadron mass models and calculations / 12.90.+b – Miscellaneous theoretical ideas and models (restricted to new topics in section 12)
© 2020 The author(s)
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