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

Seki, Ryoichi and van Kolck, U. (2006) Effective field theory of nucleon-nucleon scattering on large discrete lattices. Physical Review C, 73 (4). Art. No. 044006. ISSN 0556-2813. doi:10.1103/PhysRevC.73.044006.

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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.

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Additional Information:©2006 The American Physical Society. Received: 3 November 2005; published: 13 April 2006. We acknowledge stimulating discussions with Boris Gelman, Dean Lee, and Rob Timmermans at the initial stages of this work. We are grateful to George Weiss for correspondence regarding Ref. [27]. R. Seki thanks Martin Savage for clarifying his work and some critical issues on the subject, and also Toru Takahashi for explaining Lüscher’s method and its applications to lattice QCD. U. van Kolck thanks the Nuclear Theory Group and the Institute for Nuclear Theory at the University of Washington, and the Kellogg Lab at Caltech for hospitality during the time this work was carried out. This work was supported in part by the U.S. Department of Energy under grants DE-FG03-87ER40347 (R. Seki) and DE-FG02-04ER41338 (U. van Kolck), by the U.S. National Science Foundation under grant 0244899 (at Caltech, R. Seki), and by the Alfred P. Sloan Foundation (U. van Kolck).
Subject Keywords:nuclear field theory; nuclear forces; lattice field theory; nucleon-nucleon interactions
Issue or Number:4
Record Number:CaltechAUTHORS:SEKprc06
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:5787
Deposited By: Lindsay Cleary
Deposited On:02 Nov 2006
Last Modified:08 Nov 2021 20:28

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