Regularization and the potential of effective field theory in nucleon-nucleon scattering

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This paper examines the role that regularization plays in the definition of the potential used in effective field theory (EFT) treatments of the nucleon-nucleon interaction. The author considers N N scattering in S-wave channels at momenta well below the pion mass. In these channels (quasi-)bound states are present at energies well below the scale m{sub {pi}}{sup 2}/M expected from naturalness arguments. He asks whether, in the presence of such a shallow bound state, there is a regularization scheme which leads to an EFT potential that is both useful and systematic. In general, if a low-lying bound state is present then ... continued below

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17 p.

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Phillips, D.R. April 1, 1998.

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Description

This paper examines the role that regularization plays in the definition of the potential used in effective field theory (EFT) treatments of the nucleon-nucleon interaction. The author considers N N scattering in S-wave channels at momenta well below the pion mass. In these channels (quasi-)bound states are present at energies well below the scale m{sub {pi}}{sup 2}/M expected from naturalness arguments. He asks whether, in the presence of such a shallow bound state, there is a regularization scheme which leads to an EFT potential that is both useful and systematic. In general, if a low-lying bound state is present then cutoff regularization leads to an EFT potential which is useful but not systematic, and dimensional regularization with minimal subtraction leads to one which is systematic but not useful. The recently-proposed technique of dimensional regularization with power-law divergence subtraction allows the definition of an EFT potential which is both useful and systematic.

Physical Description

17 p.

Notes

INIS; OSTI as DE99000270

Medium: P; Size: 17 p.

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  • Joint Caltech-international workshop on NN force and effective field theory, Pasadena, CA (United States), Feb 1998

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  • Other: DE99000270
  • Report No.: DOE/ER/40762--148
  • Report No.: CONF-980264--
  • Grant Number: FG02-93ER40762
  • Office of Scientific & Technical Information Report Number: 674806
  • Archival Resource Key: ark:/67531/metadc703883

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  • April 1, 1998

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  • Sept. 12, 2015, 6:31 a.m.

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  • April 7, 2017, 3:54 p.m.

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Phillips, D.R. Regularization and the potential of effective field theory in nucleon-nucleon scattering, article, April 1, 1998; United States. (digital.library.unt.edu/ark:/67531/metadc703883/: accessed September 23, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.