Y K Gambhir
Articles written in Pramana – Journal of Physics
Volume 13 Issue 1 July 1979 pp 47-54 Nuclear and Particle Physics
Effective operators and the truncation of shell model configuration space
An alternative derivation of the projection method for constructing effective operators in the truncated shell model space is presented. The results of explicit numerical calculations in three different nuclear regions are discussed. Non-hermiticity of the effective Hamiltonian and various hermitisation procedures are investigated in detail.
Volume 13 Issue 3 September 1979 pp 269-280 Nuclear and Particle Physics
Analysis of two neutron (proton) transfer reaction data in the Zr-region
The spectroscopic amplitudes, form factors, angular distributions and total cross-sections for two nucleon transfer reactions in Zr-region in the zero range distorted wave Born approximation are calculated using consistent set of shell model wave functions. A single normalisation factor gives a good fit to all the two neutron transfer reaction data whereas the corresponding fit for the two-proton transfer reaction data is less satisfactory.
Volume 14 Issue 4 April 1980 pp 295-302 Nuclear And Particle Physics
Neutron-proton transfer reactions leading to
Zero range DWBA analysis for two-particle (neutron and proton) transfer reactions is carried out, using simple shell model structure wave functions for^{54}Fe,^{56}Co and^{58}Ni, with^{56}Ni inert core. In this structure calculation, a microscopic set of two-body interaction matrix elements derived from the non-local separable potential of Tabakin are employed. These matrix elements include in the perturbation theory two corrections (i) the second-order Börn term and (ii) the appropriate core excitations. Unlike the situation in many two-particle transfer reactions, the fragmentation of the reaction strengths to the excited states with respect to the lowest states of same spin and parity in the above transfer processes is satisfactorily borne out from this analysis.
Volume 23 Issue 2 August 1984 pp 175-186 Nuclear And Particle Physics
Regionwise absorption in nuclear optical model
A mathematical procedure to calculate the contribution to the reaction cross-section from a shell of radius
Volume 32 Issue 4 April 1989 pp 389-404 Self-Consistent Field Theory For Nuclei
Relativistic mean-field description of the ground-state nuclear properties
The results of the relativistic mean field (RMF) calculations are presented for the ground-state properties of characteristic deformed nuclei covering the entire periodic table. The representative cases in the 2
Volume 53 Issue 2 August 1999 pp 279-288
Nuclear magnetic moment: Relativistic mean field description
Valence nucleon effective mass, which is almost constant, is proposed within the relativistic mean field theories of finite nuclei (closed shell ± one nucleon). It acquires a slight spin-orbit splitting due to relativistic effects. The relativistic Dirac magnetic moment $$\vec \mu _{op} $$ is rewritten analytically in terms of angular momentum-Pauli spin coupled states and the effective mass. Introducing the nucleon effective charge, the iso-scalar and iso-vector corrections to the magnetic moment operator are extracted from the overall one parameter fit of the measured and the calculated values. The calculated values of magnetic moments are in overall fair agreement with the experiment as well as with the other detailed microscopic calculations.
Volume 57 Issue 2-3 August 2001 pp 545-556
Success and limits of the relativistic mean field description of nuclear properties
The talk presents the current status and the perspectives of the relativistic mean field (RMF) description of various nuclear properties. Some remarkable successful applications of RMF to several different class of nuclear properties are first sketched in a short list. Three selective applications of RMF to the:
Loosely bound nuclei
Anti-proton $$(\overline p )$$ annihilation
Spin observables (asymmetry parameter) in the parity-violating experiments
with different motivations, are discussed in detail. The talk ends with a partial list of possible future directions.
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