Axially deformed relativistic Hartree Bogoliubov theory with a separable pairing force

Journal Article · Sat Aug 15 04:00:00 EDT 2009 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.80.024313· OSTI ID:21290050

Yuan, Tian ^[1]; Zhongyu, Ma ^[1]; Ring, P ^[2]

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1. China Institute of Atomic Energy, Beijing 102413 (China)
2. Kavli Institute for Theoretical Physics China, CAS, Beijing 100190 (China)

A separable form of pairing interaction in the {sup 1}S{sub 0} channel has been introduced and successfully applied in the description of both static and dynamic properties of superfluid nuclei. By adjusting the parameters to reproduce the pairing properties of the Gogny force in nuclear matter, this separable pairing force is successful in depicting the pairing properties of ground states and vibrational excitations of spherical nuclei on almost the same footing as the original Gogny force. In this article, we extend these investigations for relativistic Hartree-Bogoliubov theory in deformed nuclei with axial symmetry (RHBZ) using the same separable pairing interaction. To preserve translational invariance we construct one- and two-dimensional Talmi-Moshinsky brackets for the cylindrical harmonic oscillator basis. We show that the matrix elements of this force can then be expanded in a series of separable terms. The convergence of this expansion is investigated for various deformations. We observe a relatively fast convergence. This allows for a considerable reduction in computing time as compared to RHBZ calculations with the full Gogny force in the pairing channel. As an example we solve the RHBZ equations with this separable pairing force for the ground states of the chain of Sm isotopes. Good agreement with the experimental data as well as with other theoretical results is achieved.

• OSTI ID: 21290050
• Journal Information: Physical Review. C, Nuclear Physics, Journal Name: Physical Review. C, Nuclear Physics Journal Issue: 2 Vol. 80; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
AXIAL SYMMETRY
CONVERGENCE
CYLINDRICAL CONFIGURATION
DEFORMED NUCLEI
EQUATIONS
EXCITATION
EXPANSION
GROUND STATES
HARMONIC OSCILLATORS
MATRIX ELEMENTS
NUCLEAR MATTER
PAIRING INTERACTIONS
RELATIVISTIC RANGE
SAMARIUM ISOTOPES
SIMULATION
SPHERICAL CONFIGURATION
SUPERFLUIDITY
TWO-DIMENSIONAL CALCULATIONS