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

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Abstract

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.

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Authors and Affiliations

  1. Synchrotron Light Application Center, Saga University, 1 Honjo, Saga, 840-8502, Japan

    H. Kubo

  2. Department of Physics, Kyushu University, Fukuoka, 812-8581, Japan

    K. Harada & T. Sakaeda

  3. Department of Community Service and Science, Tohoku University of Community Services and Science, Iimoriyama 3-5-1, Sakata, 998-8580, Japan

    Y. Yamamoto

Authors
  1. H. Kubo
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  2. K. Harada
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  3. T. Sakaeda
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  4. Y. Yamamoto
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Corresponding author

Correspondence to H. Kubo.

Additional information

This work was supported by JSPS KAKENHI (Grant-in-Aid for Scientific Research (C)) (22540286).

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Kubo, H., Harada, K., Sakaeda, T. et al. Practical Calculational Scheme Implementing the Wilsonian RG Results for Nuclear Effective Field Theory Including Pions. Few-Body Syst 54, 245–249 (2013). https://doi.org/10.1007/s00601-012-0349-7

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  • DOI: https://doi.org/10.1007/s00601-012-0349-7

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