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Title: Effective field theory of nucleon-nucleon scattering on large discrete lattices

Abstract

Nuclear effective field theory is applied to the effective-range expansion of S-wave nucleon-nucleon scattering on a discrete lattice. Lattice regularization is demonstrated to yield the effective-range expansion in the same way as in the usual continuous open space. The relation between the effective-range parameters and the potential parameters is presented in the limit of a large lattice.

Authors:
 [1];  [2];  [3]
  1. Department of Physics and Astronomy, California State University, Northridge, Northridge, California 91330 (United States)
  2. (United States)
  3. Department of Physics, University of Arizona, Tucson, Arizona 85721 (United States)
Publication Date:
OSTI Identifier:
20771423
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. C, Nuclear Physics; Journal Volume: 73; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevC.73.044006; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; LATTICE FIELD THEORY; NUCLEAR FORCES; NUCLEAR REACTION YIELD; NUCLEON-NUCLEON INTERACTIONS; POTENTIALS; S WAVES

Citation Formats

Seki, Ryoichi, W.K. Kellogg Radiation Laboratory, California Institute of Technology, Pasadena, California 91125, and Kolck, U. van. Effective field theory of nucleon-nucleon scattering on large discrete lattices. United States: N. p., 2006. Web. doi:10.1103/PhysRevC.73.044006.
Seki, Ryoichi, W.K. Kellogg Radiation Laboratory, California Institute of Technology, Pasadena, California 91125, & Kolck, U. van. Effective field theory of nucleon-nucleon scattering on large discrete lattices. United States. doi:10.1103/PhysRevC.73.044006.
Seki, Ryoichi, W.K. Kellogg Radiation Laboratory, California Institute of Technology, Pasadena, California 91125, and Kolck, U. van. Sat . "Effective field theory of nucleon-nucleon scattering on large discrete lattices". United States. doi:10.1103/PhysRevC.73.044006.
@article{osti_20771423,
title = {Effective field theory of nucleon-nucleon scattering on large discrete lattices},
author = {Seki, Ryoichi and W.K. Kellogg Radiation Laboratory, California Institute of Technology, Pasadena, California 91125 and Kolck, U. van},
abstractNote = {Nuclear effective field theory is applied to the effective-range expansion of S-wave nucleon-nucleon scattering on a discrete lattice. Lattice regularization is demonstrated to yield the effective-range expansion in the same way as in the usual continuous open space. The relation between the effective-range parameters and the potential parameters is presented in the limit of a large lattice.},
doi = {10.1103/PhysRevC.73.044006},
journal = {Physical Review. C, Nuclear Physics},
number = 4,
volume = 73,
place = {United States},
year = {Sat Apr 15 00:00:00 EDT 2006},
month = {Sat Apr 15 00:00:00 EDT 2006}
}