A lattice calculation of neutron-helium-4 scattering with chiral forces at N3LO matches empirical phase shifts in the 2S1/2 and 2P3/2 channels but not the 2P1/2 channel, pointing to limitations in the three-nucleon force.
Chiral Symmetry and Three-Nucleon Forces
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abstract
After a brief review of the role three-nucleon forces play in the few-nucleon systems, the chiral-perturbation-theory approach to these forces is discussed. Construction of the (nominal) leading- and subleading-order Born terms and pion-rescattering graphs contributing to two-pion-exchange three-nucleon forces is reviewed, and comparisons are made of the types of such forces that are used today. It is demonstrated that the short-range $c$-term of the Tucson-Melbourne force is unnatural in terms of power counting and should be dropped. The class of two-pion-exchange three-nucleon forces then becomes rather uniform.
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Ab initio lattice study of neutron-alpha scattering with chiral forces at N3LO
A lattice calculation of neutron-helium-4 scattering with chiral forces at N3LO matches empirical phase shifts in the 2S1/2 and 2P3/2 channels but not the 2P1/2 channel, pointing to limitations in the three-nucleon force.