A Microscopic Quantal Model for Nuclear Collective Rotation

Journal Article · Fri Oct 26 00:00:00 EDT 2007 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.2813820· OSTI ID:21036046

Gulshani, P ^[1]

---

1. NUTECH Services, 3313 Fenwick Cres., Mississauga, Ontario, L5L 5N1 (Canada)

A microscopic, quantal model to describe nuclear collective rotation in two dimensions is derived from the many-nucleon Schrodinger equation. The Schrodinger equation is transformed to a body-fixed frame to decompose the Hamiltonian into a sum of intrinsic and rotational components plus a Coriolis-centrifugal coupling term. This Hamiltonian (H) is expressed in terms of space-fixed-frame particle coordinates and momenta by using commutator of H with a rotation angle. A unified-rotational-model type wavefunction is used to obtain an intrinsic Schrodinger equation in terms of angular momentum quantum number and two-body operators. A Hartree-Fock mean-field representation of this equation is then obtained and, by means of a unitary transformation, is reduced to a form resembling that of the conventional semi-classical cranking model when exchange terms and intrinsic spurious collective excitation are ignored.

• OSTI ID: 21036046
• Journal Information: AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 947; ISSN APCPCS; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANGULAR MOMENTUM
COLLECTIVE EXCITATIONS
COLLECTIVE MODEL
COMMUTATORS
COORDINATES
COUPLING
CRANKING MODEL
HAMILTONIANS
HARTREE-FOCK METHOD
MEAN-FIELD THEORY
NUCLEONS
ROTATION
ROTATIONAL STATES
SCHROEDINGER EQUATION
TRANSFORMATIONS
TWO-BODY PROBLEM
WAVE FUNCTIONS