We present a detailed study of the effect of different three-nucleon interactions in $p$-${}^3\mathrm{He}$ elastic scattering at low energies. In particular, two interactions have been considered: one derived from effective field theory at next-to-next-to-leading order and one derived from a more phenomenological point of view—the so-called Illinois model. The four-nucleon scattering observables are calculated by using the Kohn variational principle and the hyperspherical harmonics technique, and the results are compared with available experimental data. We have found that the inclusion of both interactions improves the agreement with the experimental data, in particular, for the proton vector analyzing power.

• Received 19 July 2013

DOI:https://doi.org/10.1103/PhysRevLett.111.172302