Effective Hamiltonian of rotational excitations in the SU(3) scheme of Elliott with a real interaction

Journal Article · Mon Feb 28 23:00:00 EST 1983 · Sov. J. Nucl. Phys. (Engl. Transl.); (United States)

OSTI ID:5576260

Filippov, G F; Avramenko, V I

It is shown that a study of the rotational excitation spectrum within the framework of the SU(3) scheme of Elliott with a real nucleon-nucleon potential can be reduced to a diagonalization of the effective Hamiltonian, which is an operator polynomial of generators of a three-dimensional rotation group. The form of this polynomial depends on the indices of the SU(3) symmetry and its coefficients are expressed in terms of the nucleon-nucleon potential parameters. The first terms of this polynomial quadratic in the generators coincide with the Hamiltonian of a rigid nonaxial rotator.

• Research Organization: Institute of Theoretical Physics, Ukrainian Academy of Sciences
• OSTI ID: 5576260
• Journal Information: Sov. J. Nucl. Phys. (Engl. Transl.); (United States), Journal Name: Sov. J. Nucl. Phys. (Engl. Transl.); (United States) Vol. 37:3; ISSN SJNCA
• Country of Publication: United States
• Language: English

Related Subjects

653001* -- Nuclear Theory-- Nuclear Structure
Moments
Spin
& Models
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ENERGY LEVELS
EXCITED STATES
FUNCTIONS
HAMILTONIAN FUNCTION
LIE GROUPS
NUCLEI
NUCLEON-NUCLEON POTENTIAL
POTENTIALS
ROTATIONAL STATES
SU GROUPS
SU-3 GROUPS
SYMMETRY GROUPS