A survey of the alpha-nucleon interaction

Abstract

This paper gives a survey of the alpha-nucleon interaction and then describes experimental work on angular distributions of differential scattering cross sections and polarizations in proton-alpha and neutron-alpha scattering. The phenomenological approach, which includes the study of both local and nonlocal potentials reproducing the experimental alpha-nucleon scattering data, is discussed. Basic studies of the alphanucleon interaction attempting to build an interaction between an alpha particle and a nucleon from first principles are then described. The authors then present a critical discussion of the results with some concluding remarks suggesting the direction for further investigation.

Investigation of halo structure of 6He by hyperspherical three-body method

“…The chosen range parameter for all the components of the α n potential is b αn 2 3 fm [64]. Both the n n and α n potentials fit the scattering and phase shift data well [65]. To simulate antisymmetrization under exchange of the valence nucleon and the core nucleon a repulsive component in the l 0 channel has been included in the α n potential.…”

Development of a Cox–Thompson inverse scattering method to charged particles

“…Comprehensive data of phase shift analysis of the p − α scattering has been presented by Ali, Ahmad and Ferdous in [21]. Because of the spin-orbit coupling both spin-up δ + l and spin-down δ − l phase shifts contribute to the scattering amplitude at each partial wave.…”

“…The Gamma function was calculated by a Lanczos series approximation. The η parameter appearing in the above formulae is the Sommerfeld parameter given with the quantities discussed earlier as ) and PCT (c,d) methods at various E lab proton energies below and above the inelastic threshold using the experimental phase shifts of [21].…”

“…The model potentials describing α − α scattering are well reproduced by the new methods according to their characteristic properties concerning the finiteness or infiniteness at the origin. Then, the experimental p − α phases of Ali et al [21] have been inverted with the result that the CCT potentials showing up a repulsive hard core reproduce better the input phase shifts than the PCT potentials which exhibit a Woods-Saxon shape. Whether or not the repulsive core is present between the proton and alpha particle when being scattered by each other should be clarified also using independent source of information (see e.g.…”

“…Whether or not the repulsive core is present between the proton and alpha particle when being scattered by each other should be clarified also using independent source of information (see e.g. [21,24,25,26,27]). Table 4: Inversion results of the experimental p − α data at E lab = 17.45 MeV.…”