Coupledchannel scattering on a torus
Abstract
Based on the Hamiltonian formalism approach, a generalized Luscher's formula for two particle scattering in both the elastic and coupledchannel cases in moving frames is derived from a relativistic LippmannSchwinger equation. Some strategies for extracting scattering amplitudes for a coupledchannel system from the discrete finitevolume spectrum are discussed and illustrated with a toy model of twochannel resonant scattering. This formalism will, in the near future, be used to extract information about hadron scattering from lattice QCD computations.
 Authors:

 Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
 Old Dominion Univ., Norfolk, VA (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
 Indiana Univ., Bloomington, IN (United States). Physics Dept. and Center For Exploration of Energy and Matter
 Publication Date:
 Research Org.:
 Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC), Basic Energy Sciences (BES)
 OSTI Identifier:
 1087067
 Alternate Identifier(s):
 OSTI ID: 1104421
 Report Number(s):
 JLABTHY121659; DOE/OR/231772365; arXiv:1211.0929
Journal ID: ISSN 15507998; TRN: US1600822
 Grant/Contract Number:
 AC0506OR23177; SC0006765; FG0287ER40365.
 Resource 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 15507998
 Publisher:
 American Physical Society (APS)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Guo, Peng, Dudek, Jozef Jon, Edwards, Robert G., and Szczepaniak, Adam Pawel. Coupledchannel scattering on a torus. United States: N. p., 2013.
Web. doi:10.1103/PhysRevD.88.014501.
Guo, Peng, Dudek, Jozef Jon, Edwards, Robert G., & Szczepaniak, Adam Pawel. Coupledchannel scattering on a torus. United States. doi:10.1103/PhysRevD.88.014501.
Guo, Peng, Dudek, Jozef Jon, Edwards, Robert G., and Szczepaniak, Adam Pawel. Mon .
"Coupledchannel scattering on a torus". United States. doi:10.1103/PhysRevD.88.014501. https://www.osti.gov/servlets/purl/1087067.
@article{osti_1087067,
title = {Coupledchannel 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 coupledchannel cases in moving frames is derived from a relativistic LippmannSchwinger equation. Some strategies for extracting scattering amplitudes for a coupledchannel system from the discrete finitevolume spectrum are discussed and illustrated with a toy model of twochannel 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}
}
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 XVITH INTERNATIONAL CONFERENCE ON HADRON SPECTROSCOPY: Hadron2015, AIP Conference Proceedings