Coexistence in even-mass nuclei

Wood, John L.; Heyde, K.; Nazarewicz, W.; Huyse, M.; Duppen, P. Van

doi:10.1016/0370-1573(92)90095-h

Cited by 683 publications

(545 citation statements)

References 508 publications

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“…The appearance of shape coexistence in nuclei has attracted a lot of attention in recent decades [1,2,3] and compelling evidence has been obtained, in particular, at and very near to proton or neutron closed shells. The Pb region takes a prominent position because in addition to specific shell-model excitations established close to the N = 126 neutron shell closure, collective excitations have been observed for the neutron-deficient nuclei [4].…”

Section: Introductionmentioning

confidence: 99%

The Pt isotopes: Comparing the Interacting Boson Model with configuration mixing and the extended consistent-Q formalism

García-Ramos

Heyde²

2009

Nuclear Physics A

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The role of intruder configurations in the description of energy spectra and B(E2) values in the Pt region is analyzed. In particular, we study the differences between Interacting Boson Model calculations with or without the inclusion of intruder states in the even Pt nuclei 172−194 Pt. As a result, it shows that for the description of a subset of the existing experimental data, i.e., energy spectra and absolute B(E2) values up to an excitation energy of about 1.5 MeV, both approaches seem to be equally valid. We explain these similarities between both model spaces through an appropriate mapping. We point out the need for a more extensive comparison, encompassing a data set as broad (and complete) as possible to confront with both theoretical approaches in order to test the detailed structure of the nuclear wave functions. 21.60.Fw. PACS

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Section: Introductionmentioning

confidence: 99%

The Pt isotopes: Comparing the Interacting Boson Model with configuration mixing and the extended consistent-Q formalism

García-Ramos

Heyde²

2009

Nuclear Physics A

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“…A rapid expansion of applications of the mean-field methods both with [1,2,3,4,5,6,7] and without [8,9,10,11] self-consistency gives rise to various important theoretical issues in the microscopic theory of many-body system. Among others, a property change in the single-particle states and its dynamical relation to the mean-field, a stability of the excited mean-field, a restoration dynamics of broken symmetries for the excited mean-fields and a dynamics of the single-particle level crossing are interesting subjects to be explored.…”

Section: Introductionmentioning

confidence: 99%

Characteristic feature of self-consistent mean-field in level crossing region

2004

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A shape change of the self-consistent mean-field induced by a configuration change is discussed within the conventional constrained Hartree-Fock (CHF) theory. It is stressed that a single-particle level crossing dynamics should be treated carefully, because the shape of the mean-field in such a finite many-body system as the nucleus strongly changes depending on its configuration. This situation is clearly shown by applying an adiabatic assumption, where the most energetically favorable single-particle states are assumed to be occupied. The excited HF states and the continuouslyconnected potential energy curves are given by applying the configuration dictated CHF method.The effect of pairing correlation is discussed in the level crossing region. Triaxial deformed results in our Hartree-Fock-Bogoliubov (HFB) calculation with Gogny force nicely reproduce the available experimental data of Ge isotopes. From our numerical calculation, it is concluded that the CHFB state is more fragile than the CHF state in the level crossing region.

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“…11 and 12, combined with the existing information on shape coexistence in the Pb region [1,3,4,5,6,7,8,9,10,11,12,13,14], stresses the conclusion that secondary minima in the PES (shape coexistence) are related to the distinct balance of prolate and oblate energy di erence of both protons and neutrons for a given con guration. Based on this observation, it is interesting to note that the Rn isotopes should beexpected to exhibit the same variety of coexisting shapes as the Po and Pb isotopes (close to spherical, oblate and prolate).…”

Section: Potential Energy Surface Calculationsmentioning

confidence: 82%

“…Its PCM wave function has a main (1h 9=2 1i 13=2 ) component in all the Po isotopes with N<126, but also a non-negligible ( 25%) 2 + (core) (1h 9=2 1i 13=2 ) admixture. The slight disagreement b e t w een the calculated and experimental energy of the 11 1 state, as shown in gure 4, is probably due to the reduced numberof model con gurations leading to this rather high spin, which results in some basis truncation e ects. A slightly lower single-particle energy for the 1i 13=2 orbital will improve the agreement for the 11 states.…”

Section: Resultsmentioning

confidence: 98%

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Shape coexistence in the light Po isotopes

Oros¹,

Heyde²,

Coster³

et al. 1998

Exotic Nuclei and Atomic Masses (ENAM 98)

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The systematics of the even light P o isotopes (N 126) are studied in the framework of the Particle-Core Model. The strong perturbation of the systematics in the very light isotopes is interpreted as arising from the interaction between regular and intruder structures. Results of Potential Energy Surface (PES) calculations and predictions of the Pairing Vibration Model support this interpretation. The mixing between the regular and intruder structures is studied within the IBM-2 and in a simple two-state mixing picture. Matrix elements of the interaction and their spin-dependence are extracted. The 'reconstructed systematics' show the coexistence of a spherical structure, which v aries little with the neutron number, with an intruder band, strongly lowered in energy as the neutron numberapproaches midshell. The crossing of the two con gurations takes place over a few isotopes; the intruder band becomes the ground-state con guration in 192 Po.

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Coexistence in even-mass nuclei

Cited by 683 publications

References 508 publications

The Pt isotopes: Comparing the Interacting Boson Model with configuration mixing and the extended consistent-Q formalism

The Pt isotopes: Comparing the Interacting Boson Model with configuration mixing and the extended consistent-Q formalism

Characteristic feature of self-consistent mean-field in level crossing region

Shape coexistence in the light Po isotopes

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