CLUSTER SHELL MODEL WAVE FUNCTION: STRUCTURE OF 6LI NUCLEUS

In this paper cluster model wave function for 6Li using Shell Model with definite parity and angular momentum is written along with cluster co-ordinates, which are relative to the center-of-mass of various clusters and involve with parameters. These parameters can be adjusted to some extent to obtain predictions close to experimental properties. The cluster model wave function is written along with resonating group method (RGM) and the Complex Generator Coordinate Technique (CGCT). The Complex Generator Coordinate Technique allows the transformation of the cluster model wave function written in terms of cluster co-ordinates into anti-symmetrized product of single particle wave function. This wave function is written in terms of single particle co-ordinates, the center-of-mass co-ordinates, parameter coordinates and generator coordinates.

Analysis of 12C(α, α′) using α condensate model wave function

We analyze the inelastic scattering of the α+12 C system leading to the [Formula: see text] state in 12 C at incident energies of E α=139 MeV ~ 240 MeV using α condensate model wave function, and investigate the affection of the large nuclear radius of [Formula: see text] on the inelastic angular distribution. It is found that the oscillation pattern in inelastic angular distribution is sensitive to the extent of transition density rather than the nuclear radius of the excited state.

Two electrons in a simple harmonic potential

Some structural properties of energy eigenfunctions of two electrons in a simple harmonic potential are analyzed. Simple expressions are obtained for the energy spectrum based on a model potential, and on a model wave function. These expressions give accurate values for the energy eigenvalues and provide a physical insight into their structure.PACS Nos.: 3.65.Ge, 73.21.La, 78.67.Hc

Hydrogenic system in an off-centre confining oscillator potential

The hydrogenic system, confined in an off-centre oscillator potential, is separable in terms of elliptic coordinates. Its general properties are analysed and energies are obtained for some states, for some values of displacement and potential strength. A model wave function is developed and used to obtain the energies and polarizabilities for the ground state. PACS Nos.: 03.65.Ge, 73.21.La, 78.67.Hc

Two-photon widths from the Bethe–Salpeter wave function

Two-photon widths of pseudoscalar quarkonium are calculated using a Bethe–Salpeter wave function, recently proposed by Gromes. The results are compared to the standard, nonrelativistic quark-model predictions. The nonrelativistic quark model requires a phenomenological mass-dependent factor to bring its calculated pion width in agreement with the experimental data. We find that the Bethe–Salpeter approach, even using a very simple model wave function, gives results that are close to the experimental data for the pion and at the same time the successful nonrelativistic quark-model predictions for heavier systems are not disturbed.