Unitary group decomposition of Hamiltonian operators. II. SU (4) irreducible tensors, norms and their energy variation and symmetry breaking

Journal Article · Tue Jul 01 00:00:00 EDT 1980 · Ann. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1016/0003-4916(80)90104-9· OSTI ID:7051994

Chakraborty, M; Kota, V K.B.; Parikh, J C

SU(6)direct-sumSU(4) tensor decomposition of effective interactions in the 2s--1d shell has been carried out to examine the relative importance of the various irreducible tensors in many-particle spaces. For this purpose norms of the irreducible tensors are evaluated in many-particle spaces. Variation of the expectation value of the square of the irreducible tensor parts with excitation energy has also been examined using the polynomial expansion method. A new measure of symmetry breaking that is theoretically more sound is derived which includes in its definition partial width as well as internal width. This is used to study SU(4) symmetry mixing in nuclei.

• Research Organization: Physical Research Laboratory, Navrangpura, Ahmedabad-380 009, India
• OSTI ID: 7051994
• Journal Information: Ann. Phys. (N.Y.); (United States), Journal Name: Ann. Phys. (N.Y.); (United States) Vol. 127:2; ISSN APNYA
• Country of Publication: United States
• Language: English

Related Subjects

653001* -- Nuclear Theory-- Nuclear Structure
Moments
Spin
& Models
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
EXPECTATION VALUE
HAMILTONIANS
IRREDUCIBLE REPRESENTATIONS
LIE GROUPS
MATHEMATICAL OPERATORS
NUCLEAR FORCES
QUANTUM OPERATORS
SU GROUPS
SU-4 GROUPS
SU-6 GROUPS
SYMMETRY
SYMMETRY BREAKING
SYMMETRY GROUPS
TENSORS
UNITARY SYMMETRY