Phys. Rev. C 66, 064001 (2002) [17 pages]

Three-nucleon forces from chiral effective field theory

Abstract

References

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E. Epelbaum^1,*, A. Nogga^2,†, W. Glöckle^1,‡, H. Kamada^3,§, Ulf-G. Meißner^4,**, and H. Witała^5,††
¹Ruhr-Universität Bochum, Institut für Theoretische Physik II, D-44870 Bochum, Germany
²Department of Physics, University of Arizona, Tucson, Arizona 85721
³Department of Physics, Faculty of Engineering, Kyushu Institute of Technology, 1-1 Sensuicho, Tobata, Kitakyushu 804-8550, Japan
⁴Forschungszentrum Jülich, Institut für Kernphysik (Theorie), D-52425 Jülich, GermanyKarl-Franzens-Universität Graz, Institut für Theoretische Physik A-8010 Graz, Austria
⁵Jagiellonian University, Institute of Physics, Reymonta 4, 30-059 Cracow, Poland

Received 14 August 2002; published 11 December 2002

We perform the first fully consistent analysis of nd scattering at next-to-next-to-leading order in chiral effective field theory including the corresponding three-nucleon force and extending our previous work, where only the two-nucleon interaction has been taken into account. The three-nucleon force appears first at this order in the chiral expansion and depends on two unknown parameters. These two parameters are determined from the triton binding energy and nd doublet scattering length. We find an improved description of various scattering observables in relation to the next-to-leading order results especially at moderate energies (E_lab=65MeV). It is demonstrated that the long-standing A_y problem in nd elastic scattering is still not solved by the leading 3NF, although some visible improvement is observed. We discuss possibilities of solving this puzzle. The predicted binding energy for the α particle agrees with the empirical value.

URL:

http://link.aps.org/doi/10.1103/PhysRevC.66.064001

DOI:

10.1103/PhysRevC.66.064001

PACS:

21.45.+v, 21.30.-x, 27.10.+h, 25.10.+s

^*Electronic address: evgeni.epelbaum@tp2.ruhr-uni-bochum.de

^†Electronic address: anogga@physics.arizona.edu

^‡Electronic address: walter.gloeckle@tp2.ruhr-uni-bochum.de

^§Electronic address: kamada@mns.kyutech.ac.jp

^**Electronic address: u.meissner@fz-juelich.de

^††Electronic address: witala@if.uj.edu.pl

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Phys. Rev. C 66, 064001 (2002) [17 pages]

Three-nucleon forces from chiral effective field theory