Scattering phase shifts and mixing angles for an arbitrary number of coupled channels on the lattice

Bovermann, Lukas; Epelbaum, Evgeny; Krebs, Hermann; Lee, Dean

doi:10.1103/physrevc.100.064001

Scattering phase shifts and mixing angles for an arbitrary number of coupled channels on the lattice

Journal Article · Thu Dec 05 00:00:00 EST 2019 · Physical Review C

DOI:https://doi.org/10.1103/physrevc.100.064001· OSTI ID:1803443

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Ruhr-Universität Bochum (Germany); OSTI
Ruhr-Universität Bochum (Germany)
Michigan State Univ., East Lansing, MI (United States)

We present a lattice method for determining scattering phase shifts and mixing angles for the case of an arbitrary number of coupled channels. Previous nuclear lattice effective field theory simulations were restricted to mixing of up to two partial waves for scattering of two spin-1/2 particles, which is insufficient for analyzing nucleon-nucleus or nucleus-nucleus scattering processes. In the proposed method, the phase shifts and mixing angles are extracted from the radial wave functions obtained by projecting the three-dimensional lattice Hamiltonian onto the partial wave basis. In this work, we use a spherical wall potential as a boundary condition along with a channel-mixing auxiliary potential to construct the full-rank S matrix. Our method can be applied to particles with any spin, but we focus here on scattering of two spin-1 bosons involving up to four coupled channels. For a considered test potential, the phase shifts and mixing angles extracted on the lattice are shown to agree with the ones calculated by solving the Schrödinger equation in the continuum.

View Accepted Manuscript (DOE)

Research Organization:: Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Michigan State Univ., East Lansing, MI (United States)

Sponsoring Organization:: Deutsche Forschungsgemeinschaft (DFG); Federal Ministry of Education and Research (BMBF); USDOE Office of Science (SC)

Grant/Contract Number:: AC52-06NA25396; SC0018638

OSTI ID:: 1803443

Journal Information:: Physical Review C, Journal Name: Physical Review C Journal Issue: 6 Vol. 100; ISSN 2469-9985

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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