Eur. Phys. J. A 10, 267-273

Generalized hybrid derivative coupling model for finite nuclei

B. Malakar¹ and G. Gangopadhyay<sup>2

1</sup>  Department of Theoretical Physics, Indian Association for Cultivation of Science, Jadavpur, Calcutta 700 032, India
²  Department of Physics, University College of Science, University of Calcutta, 92 Acharya Prafulla Chandra Road, Calcutta 700 009, India

(Received: 18 August 2000 / Revised version: 18 February 2001 Communicated by P. Schuck)

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 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.

PACS
21.60.Jz - Hartree-Fock and random-phase approximation.
21.10.Dr - Binding energies and masses.

© Società Italiana di Fisica, Springer-Verlag 2001