Practical Calculational Scheme Implementing the Wilsonian RG Results for Nuclear Effective Field Theory Including Pions

On the basis of the Wilsonian renormalization group (WRG) analysis of nuclear effective field theory (NEFT) including pions, we propose a practical calculational scheme in which the short-distance part of one-pion exchange (S-OPE) is removed and represented as contact terms. The long-distance part o...

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Published inFew-body systems Vol. 54; no. 1-4; pp. 245 - 249
Main Authors Kubo, H., Harada, K., Sakaeda, T., Yamamoto, Y.
Format Journal Article
LanguageEnglish
Published Vienna Springer Vienna 01.03.2013
Springer Nature B.V
Subjects
Atomic
Contact
Hadrons
Heavy Ions
Molecular
Nuclear Physics
Optical and Plasma Physics
Particle and Nuclear Physics
Physics
Physics and Astronomy
Quantum field theory
Scattering
Power Counting
NNLO Correction
Regularization Scheme
Dimensional Regularization
Nucleon Nucleon
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Summary:On the basis of the Wilsonian renormalization group (WRG) analysis of nuclear effective field theory (NEFT) including pions, we propose a practical calculational scheme in which the short-distance part of one-pion exchange (S-OPE) is removed and represented as contact terms. The long-distance part of one-pion exchange (L-OPE) is treated as perturbation. The use of dimensional regularization (DR) for diagrams consisting only of contact interactions considerably simplifies the calculation of scattering amplitude and the renormalization group equations. NLO results for nucleon-nucleon elastic scattering in the S-waves are obtained and compared with experiments. A brief comment on NNLO calculations is given.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
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ISSN:0177-7963
1432-5411
DOI:10.1007/s00601-012-0349-7