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Type: Journal article
Title: Partial-wave mixing in Hamiltonian effective field theory
Author: Li, Y.
Wu, J.-J.
Abell, C.D.
Leinweber, D.B.
Thomas, A.W.
Citation: Physical Review D, 2020; 101(11):114501-1-114501-15
Publisher: American Physical Society
Issue Date: 2020
ISSN: 2470-0010
Statement of
Yan Li, Jia-Jun Wu, Curtis D. Abell, Derek B. Leinweber, and Anthony W. Thomas
Abstract: The spectrum of excited states observed in the finite volume of lattice QCD is governed by the discrete symmetries of the cubic group. This finite group permits the mixing of orbital angular momentum quanta in the finite volume. As experimental results refer to specific angular momentum in a partial-wave decomposition, a formalism mapping the partial-wave scattering potentials to the finite volume is required. This formalism is developed herein for Hamiltonian effective field theory, an extension of chiral effective field theory incorporating the Lüscher relation linking the energy levels observed in finite volume to the scattering phase shift. The formalism provides an optimal set of rest-frame basis states maximally reducing the dimension of the Hamiltonian, and it should work in any Hamiltonian formalism. As a first example of the formalism’s implementation, lattice QCD results for the spectrum of an isospin-2 ππ scattering system are analyzed to determine the s, d, and g partial-wave scattering information.
Rights: Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP³.
DOI: 10.1103/PhysRevD.101.114501
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