Energy-weighted sum rules connecting ΔZ = 2 nuclei within the SO(8) model

Journal Article · Mon Dec 30 00:00:00 EST 2013 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.4856558· OSTI ID:22262686

Štefánik, Dušan ^[1]; Šimkovic, Fedor ^[2]; Faessler, Amand ^[3]

---

1. Comenius University, Mlynská dolina F1, SK-842 48 Bratislava (Slovenia)
2. IEAP CTU, CZ-128 00 Prague, Czech Republic and BLTP, JINR, 141980 Dubna, Moscow region (Russian Federation)
3. Inst. of Theor. Phys., University of Tuebingen, D-72076 Tuebingen (Germany)

Energy-weighted sum rules associated with ΔZ = 2 nuclei are obtained for the Fermi and the Gamow-Teller operators within the SO(8) model. It is found that there is a dominance of contribution of a single state of the intermediate nucleus to the sum rule. The results confirm founding obtained within the SO(5) model that the energy-weighted sum rules of ΔZ = 2 nuclei are governed by the residual interactions of nuclear Hamiltonian. A short discussion concerning some aspects of energy weighted sum rules in the case of realistic nuclei is included.

• OSTI ID: 22262686
• Journal Information: AIP Conference Proceedings, Vol. 1572, Issue 1; Conference: MEDEX '13: Workshop on calculation of double-beta-decay materx elements, Prague (Czech Republic), 11-14 Jun 2013; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
GAMOW-TELLER RULES
HAMILTONIANS
NUCLEI
RESIDUAL INTERACTIONS
SIMULATION
SUM RULES