Multilevel calculations in odd-mass nuclei (II). Positive-parity states

Cunningham, M.A.

doi:10.1016/0375-9474(82)90169-5

Cited by 43 publications

(11 citation statements)

References 13 publications

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“…This is because the microscopic single-particle energies that we use in the present calculation are rather different from the empirical ones em- ployed in Refs. [32,33]. In the case of 135 Ba, for instance, the single-particle orbital 2d 3/2 is here calculated ≈ 0.5 MeV above the 3s 1/2 orbital.…”

Section: Model Particle-core Hamiltonianmentioning

confidence: 66%

“…5 (a) and (b) that, compared to the other odd-A Ba isotopes considered, the 7/2 + 1 and 9/2 + 1 states at N = 73 are noticeably low in energy, almost degenerate with the 1/2 + 1 ground state. Empirically, it has been suggested that these states predominantly correspond to the 1g 7/2 configuration [32,39], reflecting the fact that the 1g 7/2 single-particle orbital is particularly low at N = 73, and close in energy to the 3s 1/2 and 2d 3/2 orbitals. In our analysis, the calculated wave functions of the 7/2 terpretation of these states.…”

Section: B Low-energy Excitation Spectramentioning

confidence: 99%

“…The strength parameter of the exchange term Λ + 0 exhibits a gradual variation (either increase or decrease) with neutron number. While in the phenomenological IBFM calculations [32,33] a jindependent monopole strength was used for all fermion orbitals, in the present analysis, as in our previous study of Ref. [20], the strength parameter of the monopole interaction is allowed to be j-dependent, A 0 ≡ A j for positive-parity states.…”

Section: Model Particle-core Hamiltonianmentioning

confidence: 99%

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Shape-phase transitions in odd-mass γ -soft nuclei with mass A≈130

2017

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Quantum phase transitions between competing equilibrium shapes of nuclei with an odd number of nucleons are explored using a microscopic framework of nuclear energy density functionals and a fermion-boson coupling model. The boson Hamiltonian for the even-even core nucleus, as well as the spherical single-particle energies and occupation probabilities of unpaired nucleons, are completely determined by a constrained self-consistent mean-field calculation for a specific choice of the energy density functional and pairing interaction. Only the strength parameters of the particle-core coupling have to be adjusted to reproduce a few empirical low-energy spectroscopic properties of the corresponding odd-mass system. The model is applied to the odd-A Ba, Xe, La, and Cs isotopes with mass A ≈ 130, for which the corresponding even-even Ba and Xe nuclei present a typical case of γ -soft nuclear potential. The theoretical results reproduce the experimental low-energy excitation spectra and electromagnetic properties, and confirm that a phase transition between nearly spherical and γ -soft nuclear shapes occurs also in the odd-A systems.

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Section: Model Particle-core Hamiltonianmentioning

confidence: 66%

Section: B Low-energy Excitation Spectramentioning

confidence: 99%

Section: Model Particle-core Hamiltonianmentioning

confidence: 99%

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Shape-phase transitions in odd-mass γ -soft nuclei with mass A≈130

2017

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“…They are fitted, for each nucleus and separately for positive-and negative-parity states, to a few experimental excitation spectra [25]. The single-particle energies calculated within the Gogny-HFB method are somewhat at variance with those employed in purely phenomenological IBFM studies in this mass region [33,34,36]. For instance, in Ref.…”

Section: Description Of the Modelmentioning

confidence: 99%

“…Until now, a number of purely phenomenological IBFM calculations have already been performed in this mass region [31][32][33][34][35][36][37]. A virtue of the present approach is that, though its applicability is currently limited to nuclei where spectroscopic data are available, the bosoncore Hamiltonian, single-particle energies and occupation probabilities of the considered odd-mass systems are completely determined by fully microscopic SCMF calculations.…”

Section: Introductionmentioning

confidence: 99%

Shape transitions in odd-mass γ -soft nuclei within the interacting boson-fermion model based on the Gogny energy density functional

2017

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The interacting boson-fermion model (IBFM), with parameters determined from the microscopic Hartree-Fock-Bogoliubov (HFB) approximation, based on the parametrization D1M of the Gogny energy density functional (EDF), is employed to study the structural evolution in odd-mass γ-soft nuclei. The deformation energy surfaces of even-even nuclei, single-particle energies and occupation probabilities of the corresponding odd-mass systems have been obtained within the constrained HFB approach. Those building blocks are then used as a microscopic input to build the IBFM Hamiltonian. The coupling constants of the boson-fermion interaction terms are taken as free parameters, fitted to reproduce experimental low-lying spectra. The diagonalization of the IBFM Hamiltonian provides the spectroscopic properties for the studied odd-mass nuclei. The procedure has been applied to compute low-energy excitation spectra and electromagnetic transition rates, in the case of the γ-soft odd-mass systems 129−137 Ba, 127−135 Xe, 129−137 La and 127−135 Cs. The calculations provide a reasonable agreement with the available experimental data and agree well with previous results based on the relativistic mean-field approximation.

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