Generalized hybrid derivative coupling model for finite nuclei |
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Authors: | B Malakar G Gangopadhyay |
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Institution: | (1) Department of Theoretical Physics, Indian Association for Cultivation of Science, Jadavpur, Calcutta 700 032, India, IN;(2) Department of Physics, University College of Science, University of Calcutta, 92 Acharya Prafulla Chandra Road, Calcutta 700 009, India, IN |
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Abstract: | The generalized hybrid derivative coupling model has been applied to explore various ground state properties of different
nuclei. In this work we have confined our calculation only to the model characterized by the hybridization parameter α = 1/4
which gives better results than the other models of the same class, as we have seen earlier, for nuclear matter calculations.
The binding energy, single-particle energy spectra, density and charge radii of different doubly closed nuclei like 16O, 40Ca, 48Ca, 90Zr, 132Sn, 208Pb have been studied. The success of this model, in describing the doubly closed nuclei, motivates us to extend this calculation
further in the case of open shell nuclei after incorporating the pairing interaction and using a BCS transformation. We have
calculated the binding energy for such nuclei. We have also studied the isotopic shift for different Pb isotopes with respect
to 208Pb. We have compared our results with the other standard theoretical results as well as with the experimental values.
Received: 18 August 2000 / Accepted: 13 April 2001 |
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Keywords: | PACS 21 60 Jz Hartree-Fock and random-phase approximation – 21 10 Dr Binding energies and masses |
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