New extrapolation method for low-lying states of nuclei in the sd and the pf shells

Journal Article · Fri Apr 15 00:00:00 EDT 2011 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.83.044322· OSTI ID:21499573

Shen, J J ^[1]; Zhao, Y M ^[2]; Arima, A ^[2]; Yoshinaga, N ^[3]

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1. Theoretical Nuclear Physics Laboratory, RIKEN Nishina Center, Wako 351-0198 (Japan)
2. Department of Physics, Shanghai Jiao Tong University, Shanghai 200240 (China)
3. Department of Physics, Saitama University, Saitama 338-8570 (Japan)

We study extrapolation approaches to evaluate energies of low-lying states for nuclei in the sd and pf shells, by sorting the diagonal matrix elements of the nuclear shell-model Hamiltonian. We introduce an extrapolation method with perturbation and apply our new method to predict both low-lying state energies and E2 transition rates between low-lying states. Our predicted results arrive at an accuracy of the root-mean-squared deviations {approx}40-60 keV for low-lying states of these nuclei.

• OSTI ID: 21499573
• Journal Information: Physical Review. C, Nuclear Physics, Vol. 83, Issue 4; Other Information: DOI: 10.1103/PhysRevC.83.044322; (c) 2011 American Institute of Physics; ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ACCURACY
DISTURBANCES
E2-TRANSITIONS
EXTRAPOLATION
HAMILTONIANS
KEV RANGE 10-100
MATRIX ELEMENTS
NUCLEI
PERTURBATION THEORY
SHELL MODELS
ENERGY RANGE
ENERGY-LEVEL TRANSITIONS
KEV RANGE
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATHEMATICAL SOLUTIONS
MULTIPOLE TRANSITIONS
NUCLEAR MODELS
NUMERICAL SOLUTION
QUANTUM OPERATORS