Microscopic description of large-amplitude shape-mixing dynamics with inertial functions derived in local quasiparticle random-phase approximation

Journal Article · Wed Dec 15 04:00:00 EST 2010 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.82.064313· OSTI ID:21499265

Hinohara, Nobuo; Nakatsukasa, Takashi ^[1]; Sato, Koichi ^[1]; Matsuo, Masayuki ^[2]; Matsuyanagi, Kenichi ^[1]

---

1. Theoretical Nuclear Physics Laboratory, RIKEN Nishina Center, Wako 351-0198 (Japan)
2. Department of Physics, Faculty of Science, Niigata University, Niigata 950-2181 (Japan)

On the basis of the adiabatic self-consistent collective coordinate method, we develop an efficient microscopic method of deriving the five-dimensional quadrupole collective Hamiltonian and illustrate its usefulness by applying it to the oblate-prolate shape coexistence/mixing phenomena in proton-rich {sup 68,70,72}Se. In this method, the vibrational and rotational collective masses (inertial functions) are determined by local normal modes built on constrained Hartree-Fock-Bogoliubov states. Numerical calculations are carried out using the pairing-plus-quadrupole Hamiltonian including the quadrupole-pairing interaction within the two major-shell active model spaces both for neutrons and protons. It is shown that the time-odd components of the moving mean-field significantly increase the vibrational and rotational collective masses in comparison with the Inglis-Belyaev cranking masses. Solving the collective Schroedinger equation, we evaluate excitation spectra, quadrupole transitions, and moments. The results of the numerical calculation are in excellent agreement with recent experimental data and indicate that the low-lying states of these nuclei are characterized as an intermediate situation between the oblate-prolate shape coexistence and the so-called {gamma} unstable situation where large-amplitude triaxial-shape fluctuations play a dominant role.

• OSTI ID: 21499265
• Journal Information: Physical Review. C, Nuclear Physics, Journal Name: Physical Review. C, Nuclear Physics Journal Issue: 6 Vol. 82; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
AMPLITUDES
APPROXIMATIONS
BARYONS
BETA DECAY RADIOISOTOPES
BETA-PLUS DECAY RADIOISOTOPES
CALCULATION METHODS
COMPARATIVE EVALUATIONS
DAYS LIVING RADIOISOTOPES
DIFFERENTIAL EQUATIONS
ELECTRON CAPTURE RADIOISOTOPES
ELEMENTARY PARTICLES
ENERGY-LEVEL TRANSITIONS
EQUATIONS
EVALUATION
EVEN-EVEN NUCLEI
EXCITATION
FERMIONS
FLUCTUATIONS
HADRONS
HAMILTONIANS
HARTREE-FOCK-BOGOLYUBOV THEORY
INTERACTIONS
INTERMEDIATE MASS NUCLEI
ISOTOPES
MASS
MATHEMATICAL OPERATORS
MEAN-FIELD THEORY
MINUTES LIVING RADIOISOTOPES
MIXING
NEUTRONS
NUCLEI
NUCLEONS
PAIRING INTERACTIONS
PARTIAL DIFFERENTIAL EQUATIONS
PROTONS
QUANTUM OPERATORS
RADIOISOTOPES
RANDOM PHASE APPROXIMATION
SCHROEDINGER EQUATION
SELENIUM 68
SELENIUM 70
SELENIUM 72
SELENIUM ISOTOPES
SPECTRA
VARIATIONS
WAVE EQUATIONS