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Pions in Nuclear Effective Field Theory: How They Behave Differently at Different Scales and How They Decouple at Very Low Energies

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Abstract

We explain how the Wilsonian renormalization group (RG) can determine the power counting of the nuclear effective field theory (NEFT) including pions. We emphasize that the separation of pion exchange into the short-distance part and the long-distance part is essential since they behave differently in the RG analysis; we found that the latter is perturbative whereas the a part of the former is nonperturbative. As for the contact interactions power counting turns out to be the same as that for pionless NEFT: pion exchange does not affect the scaling property of contact operators. Our RG equations for NEFT including pions connect smoothly with those for the pionless NEFT: pions decouple at very low energies as we expect.

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Authors and Affiliations

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

    Koji Harada

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

    Hirofumi Kubo

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

    Yuki Yamamoto

Authors
  1. Koji Harada
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  2. Hirofumi Kubo
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  3. Yuki Yamamoto
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Corresponding author

Correspondence to Koji Harada.

Additional information

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

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Harada, K., Kubo, H. & Yamamoto, Y. Pions in Nuclear Effective Field Theory: How They Behave Differently at Different Scales and How They Decouple at Very Low Energies. Few-Body Syst 54, 239–243 (2013). https://doi.org/10.1007/s00601-012-0348-8

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  • DOI: https://doi.org/10.1007/s00601-012-0348-8

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