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Two-oscillator basis expansion for the solution of relativistic mean field equations

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Title Two-oscillator basis expansion for the solution of relativistic mean field equations
 
Creator SASTRY, SVS
JAIN, AK
GAMBHIR, YK
 
Subject axially deformed-nuclei
finite nuclei
neutron halo
hartree calculations
superheavy nuclei
matter
approximation
distributions
density
model
 
Description In the relativistic mean field (RMF) calculations usually the basis expansion method is employed. For this one uses single harmonic oscillator (HO) basis functions. A proper description of the ground state nuclear properties of spherical nuclei requires a large (around 20) number of major oscillator shells in the expansion. In halo nuclei where the nucleons have extended spatial distributions, the use of single HO basis for the expansion is inadequate for the correct description of the nuclear properties, especially that of the surface region. In order to rectify these inadequacies, in the present work an orthonormal basis composed of two HO basis functions having different sizes is proposed. It has been shown that for a typical case of (A = 11) the ground state constructed using two-HO wave functions extends much beyond the second state or even third excited state of the single HO wave function. To demonstrate its usefulness explicit numerical RMF calculations have been carried out using this procedure for a set of representative spherical nuclei ranging from O-16 to Pb-208. The binding energies, charge radii and density distributions have been correctly reproduced in the present scheme using a much smaller number of major shells (around 10) in the expansion.
 
Publisher WORLD SCIENTIFIC PUBL CO PTE LTD
 
Date 2011-09-02T02:58:47Z
2011-12-26T12:59:55Z
2011-12-27T05:53:06Z
2011-09-02T02:58:47Z
2011-12-26T12:59:55Z
2011-12-27T05:53:06Z
2000
 
Type Article
 
Identifier INTERNATIONAL JOURNAL OF MODERN PHYSICS E-NUCLEAR PHYSICS, 9(6), 507-520
0218-3013
http://dx.doi.org/10.1142/S0218301300000374
http://dspace.library.iitb.ac.in/xmlui/handle/10054/12947
http://hdl.handle.net/10054/12947
 
Language en