Pair correlation in deformed neutron-drip-line nuclei: The eigenphase formalism and asymptotic behavior

Journal Article · Sat Apr 15 04:00:00 EDT 2006 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PhysRevC.73.044317· OSTI ID:20771443

Hamamoto, Ikuko ^[1]

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1. Division of Mathematical Physics, Lund Institute of Technology at the University of Lund, Lund (Sweden)

The Hartree-Fock-Bogoliubov (HFB) equation for deformed nuclei in a simplified model is solved in coordinate space with correct asymptotic boundary conditions, in order to study the pair correlation in nuclei close to the neutron drip line. The eigenphase formalism is applied, when the upper components of HFB radial wave functions are continuum wave functions. Calculated occupation probabilities of various Nilsson orbits in the HFB ground state vary smoothly from the region of the upper components being bound wave functions to that of those being continuum wave functions. It is shown that weakly-bound or resonance-like {omega}{sup {pi}}=1/2{sup +} Nilsson orbits contribute little to the occupation probability of the HFB ground state, while the contribution by the orbits with a large value of {omega}, of which the smallest possible orbital-angular-momentum is neither 0 nor 1, may be approximately estimated using the BCS formula.

• OSTI ID: 20771443
• Journal Information: Physical Review. C, Nuclear Physics, Journal Name: Physical Review. C, Nuclear Physics Journal Issue: 4 Vol. 73; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BCS THEORY
BOUNDARY CONDITIONS
CORRELATIONS
DEFORMED NUCLEI
EIGENFUNCTIONS
EIGENVALUES
GROUND STATES
HARTREE-FOCK METHOD
HARTREE-FOCK-BOGOLYUBOV THEORY
NEUTRONS
ORBITAL ANGULAR MOMENTUM
PROBABILITY
RESONANCE
SHELL MODELS
WAVE FUNCTIONS