V K B Kota
Articles written in Pramana – Journal of Physics
Volume 9 Issue 2 August 1977 pp 129-140 Nuclear And Particle Physics
Single particle SU(3) parentage coefficients
The single particle SU(3) parentage coefficients are calculated for the case of leading SU(3) representation in the highest orbital symmetry partition, using the method suggested by Hecht. Tabulations are given for all possible cases of identical nucleons in η=3 and η=4 shells.
Volume 11 Issue 2 August 1978 pp 209-221 Statistical Physics
Eigenvalue density for ensemble of 2-body random hamiltonians with non-zero mean for matrix elements
We obtain an expression for the ensemble-averaged moments in
Volume 17 Issue 5 November 1981 pp 381-387 Nuclear And Particle Physics
Generalized interacting boson model and the collective behaviour in nuclei
M Suguna R D Ratna Raju V K B Kota
The effect of including the high spin bosons on the manifestation of collective behaviour in nuclei is examined by plotting the
Volume 32 Issue 4 April 1989 pp 459-473 Statistical Nuclear Physics
State densities and spectrum fluctuations: information propagation in complex nuclei
At excitation energies in nuclei where the state density is unambiguously defined there is a sharp separation between the smoothed spectrum (which defines the density) and fluctuations about it which have recently been studied with a view to understanding some aspects of quantum chaos. We briefly review these two complementary subjects, paying special attention to: the role of the effective interaction in determining the density; the calculation of interacting-particle state and level densities, and of expectation values of interesting operators; the information about the effective nucleon-nucleon interaction which is carried both by the density and the fluctuations.
Volume 32 Issue 4 April 1989 pp 507-513 Statistical Nuclear Physics
Inverse energy weighted sum-rules
V K B Kota V Potbhare P Shenoy N Tressler
A new derivation of the inverse energy-weighted sum-rules is given by applying the spectral distribution methods to the Rayleigh-Schrodinger perturbation theory. The scalar space result is then extended to the configurations. This is applied to obtain corrections to the ground-state energy estimates when the effective interaction is approximated by a model Hamiltonian obtained by taking linear combinations of various parts of the pairing and the Q.Q operators.
Volume 32 Issue 5 May 1989 pp 647-692 Review Paper
Spectral distributions in nuclei: General principles and applications
The subject of spectral distribution methods where one derives and applies the locally smoothed forms of observables in nuclei is briefly reviewed. It is well understood that the local forms (with respect to energy) of the level density function, expectation values and strength densities are Gaussian, linear (or ratio of Gaussians) and a bivariate Gaussian respectively. To accomodate symmetries in the above forms, one has to deal with multivariate distributions in general; for example the angular-momentum (J) decomposition leads to a bivariate Gaussian form for the level density. These results extend to indefinitely large spaces by method of partitioning and they generate convolution forms. The origin of these remarkable spectral properties is discussed and shell model examples are given to substantiate their applicability to nuclear systems. Spectral distribution theory is a practical, usable theory because the smoothed forms are defined in terms of traces of low particle-rank operators, and the trace information propagates. Finally we discuss the application of the spectral methods for a wide range of nuclear problems; these include binding energies, orbit occupancies, electromagnetic and
Volume 48 Issue 5 May 1997 pp 1035-1075
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