Lattice phase shifts and mixing angles for an arbitrary number of coupled channels

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

doi:10.21468/SciPostPhysProc.3.052

Lattice phase shifts and mixing angles for an arbitrary number of coupled channels

Journal Article · Thu Feb 27 00:00:00 EST 2020 · SciPost Physics Proceedings

DOI:https://doi.org/10.21468/SciPostPhysProc.3.052· OSTI ID:1601904

Bovermann, Lukas ^[1]; Epelbaum, Evgeny ^[1]; Krebs, Hermann ^[1]; Lee, Dean ^[2]

Ruhr University Bochum
Michigan State University

We present a lattice method for determining scattering phase shifts and mixing angles for the case of an arbitrary number of coupled channels. The proposed method combines a spherical wall boundary condition and a channel-mixing auxiliary potential to extract the full-rank S-matrix from the radial wave functions. We consider the scattering problem of two spin-1 bosons interacting with a test potential involving up to four coupled channels. For this benchmark system, the phase shifts and mixing angles are shown to agree on the lattice and in the continuum. Our method should allow to extend previous two-channel nuclear lattice EFT simulations to mixing of more than two partial waves.

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Sponsoring Organization:: USDOE

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

OSTI ID:: 1601904

Journal Information:: SciPost Physics Proceedings, Journal Name: SciPost Physics Proceedings Journal Issue: 3; ISSN 2666-4003

Publisher:: Stichting SciPostCopyright Statement

Country of Publication:: Netherlands

Language:: English

References (24)

Volume dependence of the energy spectrum in massive quantum field theories: II. Scattering states Lüscher, M. Communications in Mathematical Physics, Vol. 105, Issue 2 https://doi.org/10.1007/BF01211097	journal	June 1986
Volume dependence of the energy spectrum in massive quantum field theories: I. Stable particle states Lüscher, M. Communications in Mathematical Physics, Vol. 104, Issue 2 https://doi.org/10.1007/BF01211589	journal	June 1986
Dynamically-coupled partial-waves in ρπ isospin-2 scattering from lattice QCD Woss, Antoni J.; Thomas, Christopher E.; Dudek, Jozef J. Journal of High Energy Physics, Vol. 2018, Issue 7 https://doi.org/10.1007/JHEP07(2018)043	journal	July 2018
Coupled-channel Dπ, Dη and D s K ¯ $$ {D}_s\overline{K} $$ scattering from lattice QCD Moir, Graham; Peardon, Michael; Ryan, Sinéad M. Journal of High Energy Physics, Vol. 2016, Issue 10 https://doi.org/10.1007/JHEP10(2016)011	journal	October 2016
Variational calculations of resonant states in 4He Carlson, J.; Pandharipande, V. R.; Wiringa, R. B. Nuclear Physics A, Vol. 424, Issue 1 https://doi.org/10.1016/0375-9474(84)90127-1	journal	July 1984
Two-particle states on a torus and their relation to the scattering matrix Lüscher, Martin Nuclear Physics B, Vol. 354, Issue 2-3 https://doi.org/10.1016/0550-3213(91)90366-6	journal	May 1991
Lattice effective field theory for medium-mass nuclei Lähde, Timo A.; Epelbaum, Evgeny; Krebs, Hermann Physics Letters B, Vol. 732 https://doi.org/10.1016/j.physletb.2014.03.023	journal	May 2014
Precise determination of lattice phase shifts and mixing angles Lu, Bing-Nan; Lähde, Timo A.; Lee, Dean Physics Letters B, Vol. 760 https://doi.org/10.1016/j.physletb.2016.06.081	journal	September 2016
Ab initio alpha–alpha scattering Elhatisari, Serdar; Lee, Dean; Rupak, Gautam Nature, Vol. 528, Issue 7580 https://doi.org/10.1038/nature16067	journal	December 2015
Neutron-Proton Scattering with Spin-Orbit Coupling. I. General Expressions Blatt, John M.; Biedenharn, L. C. Physical Review, Vol. 86, Issue 3 https://doi.org/10.1103/PhysRev.86.399	journal	May 1952
Scattering phase shifts and mixing angles for an arbitrary number of coupled channels on the lattice Bovermann, Lukas; Epelbaum, Evgeny; Krebs, Hermann Physical Review C, Vol. 100, Issue 6 https://doi.org/10.1103/PhysRevC.100.064001	journal	December 2019
Scattering cluster wave functions on the lattice using the adiabatic projection method Rokash, Alexander; Pine, Michelle; Elhatisari, Serdar Physical Review C, Vol. 92, Issue 5 https://doi.org/10.1103/PhysRevC.92.054612	journal	November 2015
Neutron-proton scattering with lattice chiral effective field theory at next-to-next-to-next-to-leading order Li, Ning; Elhatisari, Serdar; Epelbaum, Evgeny Physical Review C, Vol. 98, Issue 4 https://doi.org/10.1103/PhysRevC.98.044002	journal	October 2018
b 1 resonance in coupled π ω , π ϕ scattering from lattice QCD Woss, Antoni J.; Thomas, Christopher E.; Dudek, Jozef J. Physical Review D, Vol. 100, Issue 5 https://doi.org/10.1103/PhysRevD.100.054506	journal	September 2019
Two-particle multichannel systems in a finite volume with arbitrary spin Briceño, Raúl A. Physical Review D, Vol. 89, Issue 7 https://doi.org/10.1103/PhysRevD.89.074507	journal	April 2014
Isoscalar π π , K K ¯ , η η scattering and the σ , f 0 , f 2 mesons from QCD Briceño, Raul A.; Dudek, Jozef J.; Edwards, Robert G. Physical Review D, Vol. 97, Issue 5 https://doi.org/10.1103/PhysRevD.97.054513	journal	March 2018
Review of Particle Physics Tanabashi, M.; Hagiwara, K.; Hikasa, K. Physical Review D, Vol. 98, Issue 3 https://doi.org/10.1103/PhysRevD.98.030001	journal	August 2018
Ab Initio Calculation of the Hoyle State Epelbaum, Evgeny; Krebs, Hermann; Lee, Dean Physical Review Letters, Vol. 106, Issue 19 https://doi.org/10.1103/PhysRevLett.106.192501	journal	May 2011
Structure and Rotations of the Hoyle State Epelbaum, Evgeny; Krebs, Hermann; Lähde, Timo A. Physical Review Letters, Vol. 109, Issue 25 https://doi.org/10.1103/PhysRevLett.109.252501	journal	December 2012
Ab Initio Calculation of the Spectrum and Structure of O 16 Epelbaum, Evgeny; Krebs, Hermann; Lähde, Timo A. Physical Review Letters, Vol. 112, Issue 10 https://doi.org/10.1103/PhysRevLett.112.102501	journal	March 2014
Two-particle scattering on the lattice: Phase shifts, spin-orbit coupling, and mixing angles Borasoy, B.; Epelbaum, E.; Krebs, H. The European Physical Journal A, Vol. 34, Issue 2 https://doi.org/10.1140/epja/i2007-10500-9	journal	November 2007
Lattice chiral effective field theory with three-body interactions at next-to-next-to-leading order Epelbaum, E.; Krebs, H.; Lee, D. The European Physical Journal A, Vol. 41, Issue 1 https://doi.org/10.1140/epja/i2009-10764-y	journal	April 2009
Nucleon-deuteron scattering using the adiabatic projection method Elhatisari, Serdar; Lee, Dean; Meißner, Ulf-G. The European Physical Journal A, Vol. 52, Issue 6 https://doi.org/10.1140/epja/i2016-16174-2	journal	June 2016
Neutron-proton scattering at next-to-next-to-leading order in Nuclear Lattice Effective Field Theory Alarcón, Jose Manuel; Du, Dechuan; Klein, Nico The European Physical Journal A, Vol. 53, Issue 5 https://doi.org/10.1140/epja/i2017-12273-x	journal	May 2017

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