A self-consistent approach to the quadrupole dynamics of medium heavy nuclei

The framework of relativistic energy density functionals is extended to include correlations related to restoration of broken symmetries and fluctuations of collective variables. A new implementation is developed for the solution of the eigenvalue problem of a five-dimensional collective Hamiltonian for quadrupole vibrational and rotational degrees of freedom, with parameters determined by constrained self-consistent relativistic mean-field calculations for triaxial shapes. The model is tested in a series of illustrative calculations of potential energy surfaces and the resulting collective excitation spectra and transition probabilities of the chain of even-even gadolinium isotopes.

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“…This is done according to the distribution of the angular momentum projection K quantum number defined in Eq. (26).…”

Section: Illustrative Calculations: the Gadolinium Isotopic Chainmentioning

confidence: 99%

“…the perturbative limit for the Thouless-Valatin masses, and the corresponding expressions for ZPE corrections. This approximation was applied in recent studies using models based both on the Gogny interaction [25], and Skyrme energy density functionals [26].…”

Section: Introductionmentioning

confidence: 99%

Beyond the relativistic mean-field approximation. III. Collective Hamiltonian in five dimensions

et al. 2009

Self Cite

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“…As a Gaussian overlap approximation of GCM, the collective Hamiltonian with parameters determined by selfconsistent mean-field calculations is much simple in numerical calculations, and has achieved great success in description of nuclear low-lying states [46][47][48][49][50] and impurity effect of Λ hyperon in nuclear collective excitation [51]. In particular, a systematic study of low-lying states for a large set of even-even nuclei has been carried out with the Gogny D1S force mapped collective Hamiltonian and good overall agreement with the low-lying spectroscopic data has been achieved [52].…”

Section: Introductionmentioning

confidence: 99%

Rapid structural change in low-lying states of neutron-rich Sr and Zr isotopes

et al. 2012

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The rapid structural change in low-lying collective excitation states of neutron-rich Sr and Zr isotopes is studied by solving a five-dimensional collective Hamiltonian with parameters determined by both relativistic mean-field and non-relativistic Skyrme-Hartree-Fock calculations using the PC-PK1 and SLy4 forces respectively. Pair correlations are treated in BCS method with either a separable pairing force or a density-dependent zero-range force. The isotope shifts, excitation energies, electric monopole and quadrupole transition strengths are calculated and compared with corresponding experimental data. The calculated results with both the PC-PK1 and SLy4 forces exhibit a picture of spherical-oblate-prolate shape transition in neutron-rich Sr and Zr isotopes. Compared with the experimental data, the PC-PK1 (or SLy4) force predicts a more moderate (or dramatic) change in most of the collective properties around N = 60. The underlying microscopic mechanism responsible for the rapid transition is discussed.

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“…However, as shown in several studies [29], the Thouless-Valatin corrections are almost independent of deformation, and the effective moments of inertia to be used in the collective Hamiltonian can simply be obtained by renormalizing the Inglis-Belyaev values by a constant factor, characteristic for a given nucleus. The situation is considerably more complicated in the case of mass parameters [35,36], for which there are no simple estimates of the Thouless-Valatin correction, especially for nuclei with γ-soft potential energy surfaces. Some authors [36] argue that, to approximately take into account the Thouless-Valatin correction, all inertial functions, not only the moments of inertia, should be rescaled by a constant multiplicative factor.…”

Section: Introductionmentioning

confidence: 99%

Microscopic description of spherical toγ-soft shape transitions in Ba and Xe nuclei

Nikšić

Vretenar

et al. 2010

Phys. Rev. C

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The rapid transition between spherical and γ-soft shapes in Ba and Xe nuclei in the mass region A ≥ 130 is analyzed using excitation spectra and collective wave functions obtained by diagonalization of a five-dimensional Hamiltonian for quadrupole vibrational and rotational degrees of freedom, with parameters determined by constrained self-consistent relativistic mean-field calculations for triaxial shapes. The results reproduce the characteristic evolution of excitation spectra and E2 transition probabilities and, in general, a good agreement with available data is obtained. The calculated spectra display fingerprints of a second-order shape phase transition that can approximately be described by analytic solutions corresponding to the E(5) dynamical symmetry.

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A self-consistent approach to the quadrupole dynamics of medium heavy nuclei

Cited by 77 publications

References 65 publications

Beyond the relativistic mean-field approximation. III. Collective Hamiltonian in five dimensions

Beyond the relativistic mean-field approximation. III. Collective Hamiltonian in five dimensions

Rapid structural change in low-lying states of neutron-rich Sr and Zr isotopes

Microscopic description of spherical toγ-soft shape transitions in Ba and Xe nuclei

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