Chiral three-nucleon force at N4LO: Longest-range contributions

H. Krebs, A. Gasparyan, and E. Epelbaum
Phys. Rev. C 85, 054006 – Published 25 May 2012

Abstract

We derive the sub-subleading two-pion exchange contributions to the three-nucleon force which appear at next-to-next-to-next-to-next-to-leading order in chiral effective field theory. In order to determine the low-energy constants, a complete analysis of pion-nucleon scattering at the subleading-loop order in the heavy-baryon expansion is carried out utilizing the power counting scheme employed in the derivation of the nuclear forces. We discuss the convergence of the chiral expansion for this particular three-nucleon force topology and give the values of the low-energy constants which provide the most realistic description of the three-nucleon force when the chiral expansion is truncated at next-to-next-to-leading order.

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  • Received 21 March 2012

DOI:https://doi.org/10.1103/PhysRevC.85.054006

©2012 American Physical Society

Authors & Affiliations

H. Krebs1,*, A. Gasparyan1,2,†, and E. Epelbaum1,‡

  • 1Institut für Theoretische Physik II, Ruhr-Universität Bochum, D-44780 Bochum, Germany
  • 2SSC RF ITEP, Bolshaya Cheremushkinskaya 25, 117218 Moscow, Russia

  • *hermann.krebs@rub.de
  • ashotg@tp2.rub.de
  • evgeny.epelbaum@rub.de

See Also

Chiral three-nucleon force at N4LO. II. Intermediate-range contributions

H. Krebs, A. Gasparyan, and E. Epelbaum
Phys. Rev. C 87, 054007 (2013)

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Vol. 85, Iss. 5 — May 2012

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