Power counting in peripheral partial waves: The singlet channels

M. Pavón Valderrama, M. Sánchez Sánchez, C. J. Yang, Bingwei Long, J. Carbonell, U. Van Kolck

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Abstract

We analyze the power counting of the peripheral singlet partial waves in nucleon-nucleon scattering. In agreement with conventional wisdom, we find that pion exchanges are perturbative in the peripheral singlets. We quantify from the effective field theory perspective the well-known suppression induced by the centrifugal barrier in the pion-exchange interactions. By exploring perturbation theory up to fourth order, we find that the one-pion-exchange potential in these channels is demoted from leading to subleading order by a given power of the expansion parameter that grows with the orbital angular momentum. We discuss the implications of these demotions for few-body calculations: though higher partial waves have been known for a long time to be irrelevant in these calculations (and are hence ignored), here we explain how to systematize the procedure in a way that is compatible with the effective field theory expansion.

Original languageEnglish (US)
Article number054001
JournalPhysical Review C
Volume95
Issue number5
DOIs
StatePublished - May 10 2017

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ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Valderrama, M. P., Sánchez, M. S., Yang, C. J., Long, B., Carbonell, J., & Van Kolck, U. (2017). Power counting in peripheral partial waves: The singlet channels. Physical Review C, 95(5), [054001]. https://doi.org/10.1103/PhysRevC.95.054001