Weakly bound p{sub 3/2} neutrons and spin-response function in the many-body pair correlation of neutron drip line nuclei

Journal Article · Wed Sep 01 00:00:00 EDT 2004 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PhysRevC.70.034317· OSTI ID:20695520

Hamamoto, I ^[1]; Sagawa, H ^[2]

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1. Division of Mathematical Physics, Lund Institute of Technology at the University of Lund, Lund (Sweden)
2. Center for Mathematical Sciences, University of Aizu, Ikki-machi, Aizu-Wakamatsu, Fukushima 965 (Japan)

Solving the simplified model of the Hartree-Fock Bogoliubov equation in coordinate space with the correct asymptotic boundary conditions, the spin-orbit splitting, occupation probabilities, effective pair-gap, mean square radius, and spin-response function are studied for weakly bound p neutrons. As the binding energy of p{sub 3/2} neutrons becomes small or approaches zero, the spin-orbit splitting p{sub 3/2}-p{sub 1/2} in the one-body potential drastically decreases and, at the same time, the effective pair-gap for the p neutrons becomes small, while the occupation probability of the p{sub 3/2} level decreases only slightly. Consequently, in that limit low-lying broader spin response with almost constant amount of total strength appears with the peak moving toward very low excitation energies.

• OSTI ID: 20695520
• Journal Information: Physical Review. C, Nuclear Physics, Vol. 70, Issue 3; Other Information: DOI: 10.1103/PhysRevC.70.034317; (c) 2004 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BINDING ENERGY
BOUNDARY CONDITIONS
CORRELATIONS
ENERGY LEVELS
EXCITATION
HARTREE-FOCK METHOD
HARTREE-FOCK-BOGOLYUBOV THEORY
L-S COUPLING
MANY-BODY PROBLEM
NEUTRONS
NUCLEAR MODELS
NUCLEAR POTENTIAL
NUCLEAR STRUCTURE
PROBABILITY
RESPONSE FUNCTIONS
SPIN