Effects of multiple single-particle basis states in scattering systems
Date
2023
Authors
Abell, C.D.
Leinweber, D.B.
Thomas, A.W.
Wu, J.-J.
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Journal article
Citation
Annals of Physics, 2023; 459:169531-1-169531-14
Statement of Responsibility
Curtis D. Abell, Derek B. Leinweber, Anthony W. Thomas, Jia-Jun Wu
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Abstract
Low-lying baryon resonances have been explored using Hamiltonian Effective Field Theory (HEFT), in a formalism where resonances with a three-quark component are described by both two-particle meson–baryon states and a bare basis state. Here, we investigate the use of multiple bare states in the Hamiltonian, to extend the formalism to higher energy ranges, and represent a larger portion of the low-lying baryon spectrum. Introducing a second bare state into a toy model extension of the low-energy 𝛥(1232) system, we explore the influence of the second bare state on the position of poles in the infinite-volume 𝑇 -matrix. Considering the same system in a finite-volume, we analyse the finite-volume energy spectrum in the presence of a second bare state, providing insight into the interplay between two bare basis states, representing quark-model states, and the relationship between infinite-volume poles and finite-volume eigenstates.
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© 2023 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).