Application of Self-Consistent Field Methods to Rotational Motion in sd Shell Nuclei

Application of Self-Consistent Field Methods to Rotational Motion in sd Shell Nuclei

A self-consistent field calculation of the single-particle orbitals in the sd shell is presented. The calculation is based on a standard shell-model hamiltonian employing a single-particle spin-orbit force and two-body Yukawa interaction with a Rosenfeld exchange mixture. Using these orbitals the lo...

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Veröffentlicht in:Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D, 1964-01, Vol.134 (2B), p.B269-B278
Hauptverfasser: Kelson, I., Levinson, C. A.
Format: Artikel
Sprache:eng
Schlagworte:
CRANKING MODEL
DEFORMATION
DEFORMED NUCLEI
DIFFERENTIAL EQUATIONS
HAMILTONIAN
INERTIAL FORCE
INTERACTIONS
MATHEMATICS
MOMENT OF INERTIA
MOTION
NUCLEAR MODELS
NUMERICALS
ORBITS
PHYSICS
ROTATION
SHELL MODELS
SPECTRA
SPIN
VARIATIONAL METHOD
YUKAWA POTENTIAL
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Zusammenfassung:A self-consistent field calculation of the single-particle orbitals in the sd shell is presented. The calculation is based on a standard shell-model hamiltonian employing a single-particle spin-orbit force and two-body Yukawa interaction with a Rosenfeld exchange mixture. Using these orbitals the low- lying rotational spectra of the sd shell nuclei are computed. The variational formula of Skyrme and the cranking model yield moments of inertia that compare well with experimental data. The rotation-particle coupling interaction is diagonalized, and goco fits to the nuclear rotational spectra are obtained. (auth)
ISSN:0031-899X
DOI:10.1103/PhysRev.134.B269