Angular momentum distribution of the deformed intrinsic nuclear state

Journal Article · Mon Jan 01 04:00:00 EST 1973 · Nucl. Phys., A, v. A212, no. 1, pp. 18-26

DOI:https://doi.org/10.1016/0375-9474(73)90035-3· OSTI ID:4429713

Bhaduri, R K; Das Gupta, S

In a Hartree-- Fock or Hartree-- Fock-- Bogolyubov calculation of a deformed intrinsic state, one obtains a distribution of angular momentum states. Using an analogy from statistical mechanics, we obtain an expression for this distribution. The concept of an average temperature for the intrinsic state is introduced, which is directly related to the rotational energy-content of the intrinsic state. The relationship of this temperature to microscopic particle-- hole calculations is clarified. Assuming a rotational spectrum for the ground- state band of an axially symmetric doubly even nucleus, it is demonstrated that the deduced distribution of the angular momentum states gives rise to an overlap iunction of the intrinsic wave function which falls off, for small angles of rotation, as a Gaussian. Finally, the Yoccoz formula for the moment of inertia is derived using classical statistical mechanics, and semiclassical corrections to it are obtained. (1 table) (auth)

• Research Organization: McMaster Univ., Hamilton, Ont.
• Sponsoring Organization: USDOE
• NSA Number: NSA-29-001759
• OSTI ID: 4429713
• Journal Information: Nucl. Phys., A, v. A212, no. 1, pp. 18-26, Journal Name: Nucl. Phys., A, v. A212, no. 1, pp. 18-26; ISSN NUPAB
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

*DEFORMED NUCLEI-- ROTATIONAL STATES
*EVEN-EVEN NUCLEI-- ROTATIONAL STATES
ANGULAR MOMENTUM
BOGOLYUBOV TRANSFORMATION
DISTRIBUTION
GROUND STATES
HARTREE-FOCK METHOD
N69210* --Physics (Nuclear)--Nuclear Theory--Nuclear Structure
NUCLEAR TEMPERATURE
STATISTICAL MODELS