S B Khadkikar
Articles written in Pramana – Journal of Physics
Volume 2 Issue 5 May 1974 pp 259-268 Nuclear And Particle Physics
Shape mixing as an approximation to shell model^{24}Ne
S B Khadkikar D R Kulkarni S P Pandya
Band mixing calculations have been done for^{24}Ne including the two degenerate prolate and oblate Hartree-Fock states and also some particle-hole excited states in the projection formalism using an interaction obtained by Preedom and Wildenthal. The energy spectrum agrees very well with the experimental results as well as the exact shell model calculations. Thus the band mixing calculations provide a good approximation to the lengthy exact shell-model calcuations. In addition they offer a physical insight into the collective nature of the nucleus as nuclear states are described in terms of only a few ‘intrinsic’ states.
Volume 13 Issue 5 November 1979 pp 475-493 Nuclear And Particle Physics
Spectroscopy of light nuclei with skyrme-type interactions
Deformed Hartree-Fock calculations are performed for some light nuclei in a large configuration space consisting of first four major shells. The interaction employed is the modified Skyrme interaction in which the deformed density is replaced by the band averaged scalar density that makes the Hamiltonian rotationally invariant rendering the spectroscopic calculations feasible. It is shown that the introduction of density dependence spreads out the energy spectra and that the Skyrme variant SIV which has a weak density dependence gives best overall agreement for energy spectra and the available data for the electromagnetic properties of the nuclei studied. It is found that the maximum contribution to the energy of any state in the low lying spectrum comes from the
Volume 24 Issue 1-2 January 1985 pp 63-68 Particle Physics
Relativistic harmonic confinement of quarks and gluons
A current confinement model for glue-balls is proposed to maintain complete similarity with relativistic harmonic oscillator model (
Volume 27 Issue 4 October 1986 pp 497-505 Classical Mechanics
Hamiltonian systems with indefinite kinetic energy
Some interesting features of a class of two-dimensional Hamiltonians with indefinite kinetic energy are considered. It is shown that such Hamiltonians cannot be reduced, in general, to an equivalent dynamical Hamiltonian with positive definite kinetic energy quadratic in velocities. Complex nonlinear evolution equations like the K-dV, the MK-dV and the sine-Gordon equations possess such Hamiltonians. The case of complex K-dV equation has been considered in detail to demonstrate the generic features. The two-dimensional real systems obtained by analytic continuation to complex plane of one-dimensional dynamical systems are also discussed. The evolution equations for nonlinear, amplitude-modulated Langmuir waves as well as circularly polarized electromagnetic waves in plasmas, are considered as illustrative examples.
Volume 29 Issue 1 July 1987 pp 39-52 Particle Physics
Confinement model for gluons using a ‘colour super current’ is formulated. An attempt has been made to derive a suitable dielectric function corresponding to the current confinement. A simple inhomogeneous dielectric confinement model for gluons is studied for comparison. The model Hamiltonians are second quantized and the glueball states are constructed. The spurious motion of the centre of confinement is accounted for. The results of the current confinement scheme is found in good agreement with experimental candidates.
Volume 35 Issue 5 November 1990 pp 1- Comments
Volume 36 Issue 5 May 1991 pp 557-563 Research Articles
Singlet N-N scattering with exchange of confined gluons among relativistic quark clusters
Confined-gluon-exchange among relativistically confined quark clusters is used to obtain singlet S and P wave N-N scattering phase-shifts. A good agreement is obtained with the experimental results.
Volume 39 Issue 1 July 1992 pp 47-70 Research Articles
Effect of the confined gluons in quark-quark interaction
P C Vinodkumar K B Vijayakumar S B Khadkikar
On the basis of a successful phenomenological current confinement model for gluons we have obtained a closed analytical expression for the confined gluon propagator (CGP) for the specific small frequencies in the co-ordinate space using a translationally invariant ansatz. We have also derived compact expression for general
Volume 48 Issue 5 May 1997 pp 997-1004
Meson spectroscopy with confined one gluon exchange potential
K B Vijaya Kumar A K Rath S B Khadkikar
Confined gluons-exchange among relativistically confined quarks is used to calculate the ground state masses and the radially excited states of pseudo scalar and vector mesons. A good agreement is obtained with the experimental masses. The limitation of the perturbative treatment of estimating the
Volume 49 Issue 1 July 1997 pp 3-4
Volume 50 Issue 2 February 1998 pp 149-153
Polarization observables for the nucleon-nucleon (NN) scattering are investigated in the frame work of relativistic harmonic model below
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