Three-Nucleon Forces from Chiral Effective Field Theory

Details Three-Nucleon Forces from Chiral Effective Field Theory Three-Nucleon Forces from Chiral Effective Field Theory

2002-08-13

arxiv.org/abs/nucl-th/0208023v1

Phys.Rev. C66 (2002) 064001

Physics

Nuclear Physics

Nuclear Theory

36 pp, 20 figures

Scientific paper

10.1103/PhysRevC.66.064001

We perform the first complete 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 the 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 = 65 MeV). 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 alpha-particle agrees with the empirical value.

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