ﻻ يوجد ملخص باللغة العربية
Solvable Hamiltonians for the $beta$ and $gamma$ intrinsic shape coordinates are proposed. The eigenfunctions of the $gamma$ Hamiltonian are spheroidal periodic functions, while the Hamiltonian for the $beta$ degree of freedom involves the Davidsons potential and admits eigenfunctions which can be expressed in terms of the generalized Legendre polynomials. The proposed model goes to X(5) in the limit of $|gamma|$-small. Some drawbacks of the X(5) model, as are the eigenfunction periodicity and the $gamma$ Hamiltonian hermiticity, are absent in the present approach. Results of numerical applications to $^{150}$Nd, $^{154}$Gd and $^{192}$Os are in good agreement to the experimental data. Comparison with X(5) calculations suggests that the present approach provides a quantitative better description of the data. This is especially true for the excitation energies in the gamma band.
In the framework of an equation of state (EoS) constructed from a momentum and density-dependent finite-range two-body effective interaction, the quantitative magnitudes of the different symmetry elements of infinite nuclear matter are explored. The
The connections between the X(5)-models (the original X(5) using an infinite square well, X(5)-$beta^8$, X(5)-$beta^6$, X(5)-$beta^4$, and X(5)-$beta^2$), based on particular solutions of the geometrical Bohr Hamiltonian with harmonic potential in th
As a model of a neutron halo nucleus we consider a neutron bound to an inert core by a zero range force. We study the breakup of this simple nucleus in the Coulomb field of a target nucleus. In the post-form DWBA (or, in our simple model CWBA (``Coul
The mass, isotope, and isobar distributions of limiting temperatures for finite nuclei are investigated by using a thermodynamics approach together with the Skyrme energy density functional. The relationship between the width of the isotope (isobar