Systematics of 2{sub 1}{sup +} states in semimagic nuclei

Journal Article · Wed Sep 15 00:00:00 EDT 2010 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.82.031302· OSTI ID:21419502

Delion, D S ^[1]; Zamfir, N V ^[1]

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1. 'Horia Hulubei' National Institute of Physics and Nuclear Engineering, 407 Atomistilor, Bucharest-Magurele 077125 (Romania)

We propose a simple systematics of low-lying 2{sub 1}{sup +} energy levels and electromagnetic transitions in semimagic isotopic chains Z=28,50,82 and isotonic chains N=28,50,82,126. To this purpose we use a two-level pairing plus quadrupole Hamiltonian, within the spherical quasiparticle random phase approximation (QRPA). We derive a simple relation connecting the 2{sub 1}{sup +} energy with the pairing gap and quadrupole-quadupole (QQ) interaction strength. It turns out that the systematics of energy levels and B(E2) values predicted by this simple model is fulfilled with a reasonable accuracy by all available experimental data. This systematics suggests that not only active nucleons but also those filling closed shells play an important role.

• OSTI ID: 21419502
• Journal Information: Physical Review. C, Nuclear Physics, Vol. 82, Issue 3; Other Information: DOI: 10.1103/PhysRevC.82.031302; (c) 2010 The American Physical Society; ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ACCURACY
CHAINS
E2-TRANSITIONS
ENERGY LEVELS
ENERGY-LEVEL TRANSITIONS
FASTENING
HAMILTONIANS
INTERACTIONS
MAGIC NUCLEI
NUCLEI
NUCLEONS
RANDOM PHASE APPROXIMATION
SPHERICAL CONFIGURATION
APPROXIMATIONS
BARYONS
CALCULATION METHODS
CONFIGURATION
ELEMENTARY PARTICLES
FABRICATION
FERMIONS
HADRONS
JOINING
MATHEMATICAL OPERATORS
MULTIPOLE TRANSITIONS
QUANTUM OPERATORS