Relativistic continuum Hartree-Bogoliubov theory with both zero range and finite range Gogny force and their application - INSPIRE

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Relativistic continuum Hartree-Bogoliubov theory with both zero range and finite range Gogny force and their application

Jie Meng

1998

40 pages

Published in:

Nucl.Phys.A 635 (1998) 3-42

Published: 1998

DOI:

10.1016/S0375-9474(98)00178-X

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Abstract: (Elsevier)

The formalism for Relativistic Continuum Hartree-Bogolyubov (RCHB) theory, which is the extension of the Relativistic Mean Field (RMF) and the Bogoliubov transformation in the coordinate representation, and its application to nickel isotopes are presented. As the RCHB formalism allows for the proper description of the coupling between the bound state and the continuum by the pairing force, therefore it is suitable not only for stable nuclei but also the nuclei near the drip line. The pairing correlations are taken into account by both a density-dependent force of zero range and the finite range Gogny force. The development of the formalism and the numerical techniques involved are discussed in detail. The physics from the RCHB and its understanding in the canonical basis are discussed. The RCHB theory is used to describe the chain of Nickel isotopes extending from the proton drip line to the neutron drip line. The comparisons of the two neutron separation energies S 2n as well as the neutron, proton and matter rms radii yield excellent agreement between the calculations with both interactions and the experimental values wherever they exist. Predictions have also been made for the drip-line nucleus 100 Ni. The pairing energies and single particle levels in the canonical bases and their corresponding occupation probabilities turn out to be similar.

21.10.Pc
21.10.Dr
21.10.Gw
27.50.+e
21.60.-n
Relativistic continuum mean field
Bogoliubov transformation
Zero range and finite pairing force
Canonical basis
Nickel isotopes

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