A microscopic three-cluster model with nuclear polarization applied to the resonances of 7Be and the reaction 6Li(p, 3He)4He

Abstract

A microscopic model for three-cluster configurations in light nuclei is presented. It uses an expansion in terms of Faddeev components for which the dynamic equations are derived. The model is designed to investigate binary channel processes in a compound system. Gaussian and oscillator bases are used to expand the wave function and to represent appropriate boundary conditions. We study the effect of cluster polarization on ground and resonance states of 7 Be, and on the astrophysical S-factor of the reaction 6 Li(p, 3 He) 4 He.

Microscopic Study of the 6Li(p, α)3He Reaction at Low Energies

“…The screening effects are also not included in the calculations [9,10]. The results of these works qualitatively agree with each other and with ours but all three calculations differ quantitatively from each other at low energies.…”

“…The results of these works qualitatively agree with each other and with ours but all three calculations differ quantitatively from each other at low energies. The calculation [10] gives the largest overestimation of the data compared to the others.…”

“…It should be noted that the 6 Li(p, ) 3 He reaction was already considered on the basis of microscopic approaches, for example, in works [9,10] (see Fig. 1 for curves).…”

Three-cluster model of radiative capture reactions in seven-nucleon systems. Effects of cluster polarization

“…Second, in our recent works [38,39], we formulated a microscopic three-cluster model which was specially designed to consider the polarizability of interacting clusters. We called it the cluster polarization.…”

“…In our early works [40][41][42], we demonstrated that the collective monopole and quadrupole polarizations have very large effects on the radiative capture and photodisintegration reactions. Here, we consider a more important and prominent type of polarization, as it was shown in [38,39]. As in [38,39], we will use the three-cluster configuration 4 He + d + p ( 4 He + d + n) to consider the binary channels 4 He + 3 He and 6 Li + p ( 4 He + 3 H and 6 Li + n) in 7 Be ( 7 Li).…”