arXiv subjects
Publications and source records attributed to R. S. Bhalerao.
A phenomenological model for the nucleon structure functions is presented. Visualising the nucleon as a cavity filled with parton gas in thermal equilibrium and parametrizing the effects due to the finiteness of the nucleon volume, we obtain a good fit to the data on the unpolarized nucleon structure functions.
The systematics of the size dependence of the resonant response of small metal particles and nuclei to incident electromagnetic radiation is studied. The known radius$^{-1}$ variation of the full width at half maximum (FWHM) in matrix-embedded metal particles is qualitatively accounted for by a quantum calculation of the response within a simple model. In free clusters, the behaviour is more complicated, possibly because of thermal excitation of surface modes. For nuclei, the FWHM shows strong shell-structure-linked oscillations across the periodic table. Focussing on the lower envelope of the oscillations (magic nuclei), the downward trend of the FWHM is consistent with the radius$^{-1}$ variation. A schematic theoretical description of the systematics in nuclei is presented. If the FWHMs are scaled by the respective Fermi energies and the inverse radii by the Fermi wave vectors, the data sets for matrix-embedded metal particles and nuclei become comparable in magnitude.
(The systematics of photon absorption cross sections in nuclei and small metal particles are examined as a function of the number of constituent fermions $A$. It is pointed out that the shell-structure-linked oscillations in the full width at half maximum (FWHM) of the photoneutron cross section in nuclei, earlier recognized for $A > 63$, in fact persist down to the lightest nuclei. Averaging over the oscillations or focusing on the lower envelope of the oscillating curve (magic nuclei), the FWHM is seen to generally decrease with increasing $A$, consistent with $A^{-1/3}$, a dependence which was earlier known to hold in metal particle systems. If the FWHMs are scaled by the respective Fermi energies and the inverse radii by the Fermi wave vectors, the two data sets become comparable in magnitude. A schematic theoretical description of the systematics is presented.)