Microscopic Multicluster Description of Light Exotic Nuclei with Stochastic Variational Method on Correlated Gaussians
Abstract
A microscopic theory taking account of the correlated motion between particles is extended to a multicluster model comprising 0s clusters and single nucleons. The relative motion between the constituents is described by a combination of the correlated Gaussian basis. A stochastic selection of nonlinear parameters of the basis functions is introduced and it has proven to be a very powerful and economical method. It is confirmed that virtually exact solutions are obtainable for bound state problems. By the extension to the multicluster model, a sophisticated description of light nuclei becomes possible with fairly good asymptotics of the wave functions. The halo structure in the ground states of ^{6,8}He and the 3.563 MeV 0^{+} state of ^{6}Li is examined. The core breakup effect in ^{6}He is found to give appreciable contribution to the binding energy. ^{9}Be^{9}B, ^{9}Li^{9}C and ^{10}Be^{10}C mirror nuclei are described by microscopic three and fourcluster model. The quadrupole moments of ^{9}C and ^{7}Be are predicted to be 5.04 and 6.11 efm^{2}. As a useful application of the microscopic multicluster model, it is shown that the resonance parameters of unbound states can be obtained simply by analytic continuation of the square root of the bound state energy as a function of the potential strength.
 Publication:

Progress of Theoretical Physics Supplement
 Pub Date:
 2001
 DOI:
 10.1143/PTPS.142.97
 Bibcode:
 2001PThPS.142...97A