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Title: Coupled-channel scattering on a torus

Based on the Hamiltonian formalism approach, a generalized Luscher's formula for two particle scattering in both the elastic and coupled-channel cases in moving frames is derived from a relativistic Lippmann-Schwinger equation. Some strategies for extracting scattering amplitudes for a coupled-channel system from the discrete finite-volume spectrum are discussed and illustrated with a toy model of two-channel resonant scattering. This formalism will, in the near future, be used to extract information about hadron scattering from lattice QCD computations.
Authors:
 [1] ;  [2] ;  [1] ;  [3]
  1. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
  2. Old Dominion Univ., Norfolk, VA (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
  3. Indiana Univ., Bloomington, IN (United States). Physics Dept. and Center For Exploration of Energy and Matter
Publication Date:
Report Number(s):
JLAB-THY-12-1659; DOE/OR/23177-2365; arXiv:1211.0929
Journal ID: ISSN 1550-7998; TRN: US1600822
Grant/Contract Number:
AC05-06OR23177; SC0006765; FG0287ER40365.
Type:
Accepted Manuscript
Journal Name:
Physical Review. D, Particles, Fields, Gravitation and Cosmology
Additional Journal Information:
Journal Volume: 88; Journal Issue: 1; Journal ID: ISSN 1550-7998
Publisher:
American Physical Society (APS)
Research Org:
Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)
Sponsoring Org:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
OSTI Identifier:
1087067
Alternate Identifier(s):
OSTI ID: 1104421

Guo, Peng, Dudek, Jozef Jon, Edwards, Robert G., and Szczepaniak, Adam Pawel. Coupled-channel scattering on a torus. United States: N. p., Web. doi:10.1103/PhysRevD.88.014501.
Guo, Peng, Dudek, Jozef Jon, Edwards, Robert G., & Szczepaniak, Adam Pawel. Coupled-channel scattering on a torus. United States. doi:10.1103/PhysRevD.88.014501.
Guo, Peng, Dudek, Jozef Jon, Edwards, Robert G., and Szczepaniak, Adam Pawel. 2013. "Coupled-channel scattering on a torus". United States. doi:10.1103/PhysRevD.88.014501. https://www.osti.gov/servlets/purl/1087067.
@article{osti_1087067,
title = {Coupled-channel scattering on a torus},
author = {Guo, Peng and Dudek, Jozef Jon and Edwards, Robert G. and Szczepaniak, Adam Pawel},
abstractNote = {Based on the Hamiltonian formalism approach, a generalized Luscher's formula for two particle scattering in both the elastic and coupled-channel cases in moving frames is derived from a relativistic Lippmann-Schwinger equation. Some strategies for extracting scattering amplitudes for a coupled-channel system from the discrete finite-volume spectrum are discussed and illustrated with a toy model of two-channel resonant scattering. This formalism will, in the near future, be used to extract information about hadron scattering from lattice QCD computations.},
doi = {10.1103/PhysRevD.88.014501},
journal = {Physical Review. D, Particles, Fields, Gravitation and Cosmology},
number = 1,
volume = 88,
place = {United States},
year = {2013},
month = {7}
}