Journal article
Symmetry and application of SU( mn)⊃SU( m)×SU( n) coefficients of fractional parentage
Nuclear physics. A, v 393(1), pp 122-134
1983
Abstract
A method is given for calculating the SU(
mn)⊃SU(
m)×SU(
n) many-particle coefficients of fractional parentage (CFP) in terms of the single-particle CFP without using the SU(
m) and SU(
n) Racah coefficients. Some remarkable symmetries of the SU(
mn) ⊃ SU(
m) × SU(
n) CFP are obtained on the grounds that they are at the same time the isoscalar factor for the permutation group chain S(
f
1+
f
2)⊃S(
f
1)⊗S(
f
2). The application of the SU(
mn)⊃SU(
m)×SU(
n) CFP to the quark model of nuclei is illustrated. It is shown that the transformation coefficients between the symmetry basis and the physical basis of two nuclear clusters are simply products of two SU(
mn)⊃ SU(
m)×SU(
n) CFP.
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13 citations in Scopus
Details
- Title
- Symmetry and application of SU( mn)⊃SU( m)×SU( n) coefficients of fractional parentage
- Creators
- Chen Jin-Quan - Nanjing UniversityShi Yi-Jin - China Institute of Atomic EnergyDa Hsuan Feng - Drexel UniversityMichel Vallieres - Drexel University
- Publication Details
- Nuclear physics. A, v 393(1), pp 122-134
- Publisher
- Elsevier B.V
- Number of pages
- 13
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Physics; [Retired Faculty]
- Scopus ID
- 2-s2.0-49049128211
- Other Identifier
- 991022043973304721