Nuclear Rotations and the Born-Oppenheimer Approximation

Journal Article · Thu Oct 27 04:00:00 EDT 2011 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3638075· OSTI ID:21608490

Zettili, Nouredine ^[1]

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1. Department of Physical and Earth Sciences, Jacksonville State University, Jacksonville, AL 36265 (United States)

We deal here with the application of the Nuclear Born Oppenheimer (NBO) method to the description of nuclear rotations. As an edifying illustration, we apply the NBO formalism to study the rotational motion of nuclei which are axially-symmetric and even, but whose shells are not closed. We focus, in particular, on the derivation of expressions for the rotational energy and for the moment of inertia. Additionally, we examine the connection between the NBO method and the self-consistent cranking (SCC) model. Finally, we compare the moment of inertia generated by the NBO method with the Thouless-Valantin formula and hence establish a connection between the NBO method and the large body of experimental data.

• OSTI ID: 21608490
• Journal Information: AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 1370; ISSN 0094-243X; ISSN APCPCS
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
APPROXIMATIONS
AXIAL SYMMETRY
BORN-OPPENHEIMER APPROXIMATION
CALCULATION METHODS
COMPARATIVE EVALUATIONS
ENERGY LEVELS
EVALUATION
EXCITED STATES
MATHEMATICAL MODELS
MECHANICS
MOMENT OF INERTIA
MOTION
NUCLEAR MODELS
NUCLEAR STRUCTURE
QUANTUM MECHANICS
ROTATION
ROTATIONAL STATES
SELF-CONSISTENT FIELD
SHELL MODELS
SYMMETRY