Use of Microscopic Theoretical Methods for The Construction of The Nuclear Wavefunction of 7Li

Microscopic theoretical studies of scattering and reaction problems for light nuclei have been extensively carried out using resonating group method. In this paper we have used the nuclear cluster model, the resonating group method, the generator coordinate method and complex generator coordinate technique for the construction of microscopic antisymmetrized nuclear wavefunction of 7Li nucleus. This wavefunction can be further used to calculate the structural properties of the nucleus. The 7Li nucleus in ground state is considered as a nuclear system consisting of three clusters namely an alpha cluster, a deuteron cluster and a neutron cluster. We have chosen spatial, spin and isospin function of cluster internal functions. The arguments of internal wavefunction include the parameter coordinates. These parameters can be adjusted to some extent to obtain predictions close to experimental results. The wavefunction is written using shell model with definite parity and angular momentum. The complex generator coordinate technique allows this wavefunction to write it as an antisymmetrized product of seven single particle functions after inclusion of the wavefunction for the center- of -mass motion

Simplistic distorted-wave Born approximation interpretation of the 11Li(p,t)9Li reaction

The reaction [Formula: see text]Li([Formula: see text])9Li(gs) at an incident energy of 4.3[Formula: see text]MeV is interpreted in terms of a simplistic distorted-wave Born approximation, which assumes simultaneous transfer of the halo neutrons. The halo neutrons involved in the reaction is treated as either a di-neutron cluster or individual entities. Either of these approaches appears to be a good approximation of the reaction mechanism, as would be expected from earlier studies. The dominant contribution to the yield of the reaction comes from the known (2[Formula: see text])2 neutron structure component of the ground state of [Formula: see text]Li. Furthermore, the cross-section angular distribution seems to be relatively insensitive to the fact that [Formula: see text]Li has an anomalously large radius due to its Borromean halo properties. Significantly this simple treatment of the reaction is in much better agreement with the experimental angular distribution than previous sophisticated calculations. The relevance and limitations of a more advanced theoretical treatment which includes coupled channel and sequential transfer are discussed in the context of the present results.

DI-NEUTRON CORRELATIONS IN THE SUPER NEUTRON-RICH NUCLEUS; 7H

We study the di-neutron correlations in the super neutron-rich nucleus 7 H with the AMD triple-S (AMD superposition of selected snapshots). 7 H is the most neutron-rich nucleus in the neutron ratio to the proton ( N / Z = 6). And the strong di-neutron correlations are expected due to the weak binding properties. In this paper, the mixing of di-neutron cluster components is estimated by calculating the squared overlap with the di-neutron condensate type wave function. The calculated results show significant mixing of di-neutron (t + 2n + 2n) components (70 ~ 80%).

Di-neutron Cluster and Its Condensation

Di-neutron cluster structure of 11 Li which is suggested strongly by recent experiments is discussed. Recent HFB calculations which show clear di-neutron correlation in surface region of neutron-rich nuclei are also discussed. An approach to di-neutron problem by the use of a hybrid wave function of AMD and di-neutron condensed wave function is proposed.