Abstract
The Kohn variational principle and the hyperspherical harmonic technique are applied to study p − 3He elastic scattering at low energies. Preliminary results obtained using several interaction models are reported. The calculations are compared to a recent phase shift analysis performed at the Triangle University Nuclear Laboratory and to the available experimental data. Using a three-nucleon interaction derived from chiral perturbation theory at N2LO, we have found a noticeable reduction of the discrepancy observed for the Ay observable.
Highlights
The four nucleon system has been object of intense studies in recent years
In the energy range considered here (Ep ≤ 6 MeV), the various p − 3He observables are dominated by S-wave and P-wave phase-shifts (D-wave phase shifts give only a marginal contribution, and more peripheral phase shifts are negligible)
The p − 3He interaction in S-wave is repulsive, being dominated by the Pauli repulsion, and the corresponding phase shifts are generally well reproduced by an interaction model giving the correct value of the 3He binding energy
Summary
The four nucleon system has been object of intense studies in recent years. In first place, this system is interesting as a “theoretical laboratory” to test the accuracy of our present knowledge of the nucleon–nucleon (NN) and three nucleon (3N) interactions. The effect of (i) the NN P-wave and of (ii) the 3N force are believed to be larger than in the A = 2 or 3 systems. It is the simplest system where the 3N interaction in channels of total isospin T = 3/2 can be studied. Reactions like d + d → 4He + γ or p + 3He → 4He + νe + e+ (the hep process) play important roles in solar models and in the theory of big-bang nucleosynthesis
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