Inayat Rasool Bhat

Assistant Professor

[email protected]

Research Areas:

Teaching Interests:

Dr. Gowhar HUssain BHat

Sr. Assistant Professor

[email protected]

9797050803

Research Areas:

Theoretical Nuclear Physics: During the last decade, research in nuclear theory has witnessed a discernable progress in the development of state-of-the-art models and techniques to elucidate the rich variety of shapes and structures in nuclei. There is a great optimism that in the coming years it should be possible to apply Ab-initio methods of Green’s function , shell model and density functional theory, to investigate majority of the properties all across the nuclear periodic table with the availability of more powerful computing facilities. However, at the moment these methods have limited applicability and are used to describe nuclei in lighter mass regions or ground-state properties only. To study, for instance, the rich band structures observed in medium and heavy mass regions, alternative methods with moderate computational requirements ought to be explored. Recently, TPSM approach has been developed to describe the rich band structures observed in well deformed and transitional nuclei. This model employs the basis that are solutions of the triaxial Nilsson potential and then three dimensional projection is performed to project out the states with well defined angular momentum quantum number. The advantage of this approach is that systematic studies of a large class of nuclei can be performed with a minimal computational effort. As a matter of fact, already a number of systematic investigations have been undertaken using this model and it has been demonstrated to reproduce the known experimental data re- markably well. This model has been applied to investigate a broad range of properties related to the triaxial degree of freedom of the nuclear deformation. The basic strategy of the TPSM approach is similar to the spherical shell model model (SSM) with the only difference that deformed basis are employed for diagonalizing the shell model Hamil- tonian rather than the spherical one. The deformed basis are constructed by solving the triaxial Nilsson potential with optimum quadrupole deformation parameters of ε and ε′. In principle, the deformed basis can be constructed with arbitrary deformation parameters, however, the basis are constructed with expected or known deformation parameters (so called optimum) for a given system under consideration. These deformation values lead to an accurate Fermi surface and it is possible to choose a minimal subset of the basis states around the Fermi surface for a realistic description of a given system. The Nilsson basis states are then transformed to the quasiparticle space using the simple Bardeen-Cooper-Schriefer (BCS) ansatz for treating the pairing interac- tion. As the deformed basis are defined in the intrinsic frame of reference and don’t have well defined angular-momentum, in the second stage these basis are projected onto states with well defined angular-momentum using the angular-momentum projection technique. In the third and the final stage of the TPSM analysis, the projected basis are employed to diagonalize the shell model Hamiltonian.

Teaching Interests:

Teaching Interests 1. Mathematical Physics 2. Mechanics 3. Modern Physics 4. Quantum Mechanics 5. Nuclear Physics