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

Koji Harada, Hirofumi Kubo, Yuki Yamamoto

Research output: Contribution to journalArticle

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.

Original languageEnglish
Pages (from-to)239-243
Number of pages5
JournalFew-Body Systems
Volume54
Issue number1-4
DOIs
Publication statusPublished - Jan 1 2013

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pions
counting
energy
electric contacts
scaling
operators
interactions

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics

Cite this

Pions in Nuclear Effective Field Theory : How They Behave Differently at Different Scales and How They Decouple at Very Low Energies. / Harada, Koji; Kubo, Hirofumi; Yamamoto, Yuki.

In: Few-Body Systems, Vol. 54, No. 1-4, 01.01.2013, p. 239-243.

Research output: Contribution to journalArticle

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