Monday, March 5, 2012

1203.0067 (Hermann Krebs et al.)

Chiral three-nucleon force at N^4LO I: Longest-range contributions    [PDF]

Hermann Krebs, Ashot Gasparyan, Evgeny Epelbaum
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.
View original: http://arxiv.org/abs/1203.0067

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