The N evaluation of nuclear and decay properties

Audi, G.; Bersillon, O.; Blachot, J.; Wapstra, A.H.

doi:10.1016/s0375-9474(97)00482-x

Cited by 518 publications

(236 citation statements)

References 1 publication

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“…Further study on the effects of pairing correlation near the level crossing region is needed in terms of the competitions between the two-body residual interaction and the one-body HFB potential, and between the average quantities like the uv-factors and their quantum fluctuations. [31], quadrupole and triaxial deformation parameters [32,33,34] are also listed.…”

Section: Discussionmentioning

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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Section: Discussionmentioning

confidence: 99%

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

2004

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“…For the macroscopic part we used the Yukawa plus exponential model [22]. With the aim of adjusting the model especially for heavy and superheavy nuclei, three parameters of the macroscopic energy formula and the pairing strengths were determined in [10] by a fit to masses of even-even nuclei with Z ≥ 84 and N > 126 as given in [23]. These parameters were used since then in all our calculations.…”

Section: The Modelmentioning

confidence: 99%

Qαvalues in superheavy nuclei from the deformed Woods-Saxon model

2014

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Masses of superheavy (SH) nuclei with Z = 98−128, including odd and odd-odd nuclei, are systematically calculated within the microscopic-macroscopic model based on the deformed Woods-Saxon potential. Ground states are found by minimizing energy over deformations and configurations. Pairing in odd particle-number systems is treated either by blocking or by adding the BCS energy of the odd quasiparticle. Three new parameters are introduced which may be interpreted as the constant mean pairing energies for even-odd, odd-even and odd-odd nuclei. They are adjusted by a fit to masses of heavy nuclei. Other parameters of the model, fixed previously by fitting masses of even-even heavy nuclei, are kept unchanged. With this adjustment, the masses of SH nuclei are predicted and then used to calculate α-decay energies to be compared to known measured values. It turns out that the agreement between calculated Qα values with data in SH nuclei is better than in the region of the mass fit. The model overestimates Qα for Z = 111 − 113. Ground state (g.s.) configurations in some SH nuclei hint to a possible α-decay hindrance. The calculated configurationpreserving transition energies show that in some cases this might explain discrepancies, but more data is needed to explain the situation.

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“…It is well known that the optimum parameters change depending on the number of major shell, and become rather stable as the number increases [24]. In order to examine a reliability of the optimized configuration space, the ground state properties of 66 Se both in HF and HFB calculations are listed in Table I, together with the experimental binding energy [31]. The binding energies in both calculations reproduce the experimental data well, though the total binding energy in the HFB is about 1.1 MeV lower than that in the HF calculation.…”

Section: Fragility Of Mean Fieldmentioning

confidence: 99%

Applicability of self-consistent mean-field theory

2005

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Within the constrained Hartree-Fock (CHF) theory, an analytic condition is derived to estimate whether a concept of the self-consistent mean field is realized or not in level repulsive region. The derived condition states that an iterative calculation of CHF equation does not converge when the quantum fluctuations coming from two-body residual interaction and quadrupole deformation become larger than a single-particle energy difference between two avoided crossing orbits. By means of the numerical calculation, it is shown that the analytic condition works well for a realistic case.

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The N evaluation of nuclear and decay properties

Cited by 518 publications

References 1 publication

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

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

Qαvalues in superheavy nuclei from the deformed Woods-Saxon model

Applicability of self-consistent mean-field theory

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