Nuclear deformation energy curves with the constrained Hartree-Fock method

Flocard, H.; Quentin, P.; Kerman, A.K.; Vautherin, D.

doi:10.1016/0375-9474(73)90357-6

Cited by 288 publications

(199 citation statements)

References 56 publications

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“…Note that, no optimisation for each nucleus has been done in the most HF and HFB calculations [1,2,3,4], although a larger configuration space is adopted. It is well known that the optimal parameters change depending on N 0 , and then become rather stable as the shell number N 0 increases [30]. In order to examine a size effect of the configuration space, low-lying spectra obtained by the RS method with N 0 = 12 are compared to those with N 0 = 8 for Ge isotopes, where the intruder orbit g 9/2 plays an important role and provides us with an excellent opportunity to study the shell structure and shape coexistence.…”

Section: Theoretical Methodsmentioning

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: Theoretical Methodsmentioning

confidence: 99%

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

2004

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“…We study in this work such a dependence in the case of Kr isotopes, which are examples of well-deformed nuclei characterized by a large variety of competing nuclear shapes [61]. Constraint HF+BCS calculations [61,62] show also the possibility of shape coexistence in these nuclei. The results which we obtain for the binding energy of the three previously selected Kr isotopes as a function of the quadrupole parameter β = π/5Q p /(Zr 2 p ) (Q p being the proton quadrupole moment) are presented in Fig.…”

Section: Neutron Skin and Deformationmentioning

confidence: 97%

Nuclear skin emergence in Skyrme deformed Hartree-Fock calculations

et al. 2007

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A study of the charge and matter densities and the corresponding rms radii for even-even isotopes of Ni, Kr, and Sn has been performed in the framework of the deformed self-consistent mean-field Skyrme HF+BCS method. The resulting charge radii and neutron skin thicknesses of these nuclei are compared with available experimental data, as well as with other theoretical predictions. The formation of a neutron skin, which manifests itself in an excess of neutrons at distances greater than the radius of the proton distribution, is analyzed in terms of various definitions. Formation of a proton skin is shown to be unlikely. The effects of deformation on the neutron skins in even-even deformed nuclei far from the stability line are discussed.

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“…This option should be used if one is interested in the potential energy surface of a nucleus along the quadrupole collective coordinate. The quadrupole constraint is assumed in the standard quadratic form [40]:…”

Section: Constraintsmentioning

confidence: 99%

Axially deformed solution of the Skyrme–Hartree–Fock–Bogolyubov equations using the transformed harmonic oscillator basis. The program HFBTHO (v1.66p)

Stoitsov

Dobaczewski

Nazarewicz

et al. 2005

Computer Physics Communications

230

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We describe the program HFBTHO for axially deformed configurational Hartree-FockBogoliubov calculations with Skyrme-forces and zero-range pairing interaction using HarmonicOscillator and/or Transformed Harmonic-Oscillator states. The particle-number symmetry is approximately restored using the Lipkin-Nogami prescription, followed by an exact particle number projection after the variation. The program can be used in a variety of applications, including systematic studies of wide ranges of nuclei, both spherical and axially deformed, extending all the way out to nucleon drip lines. Program Summary No. of lines in distributed program: 7876 linesNature of physical problem: Solution of self-consistent mean-field equations for weakly bound paired nuclei requires correct description of asymptotic properties of nuclear quasiparticle wave functions. In the present implementation, this is achieved by using the single-particle wave functions of the Transformed Harmonic Oscillator, which allows for an accurate description of deformation effects and pairing correlations in nuclei arbitrarily close to the particle drip lines. Method of solution:The program uses axial Transformed Harmonic Oscillator single-particle basis to expand quasiparticle wave functions. It iteratively diagonalizes the Hartree-FockBogolyubov Hamiltonian based on the Skyrme forces and zero-range pairing interaction until the self-consistent solution is achieved.Restrictions on the complexity of the problem: Axial-, time-reversal-, and space-inversion symmetries are assumed. Only quasiparticle vacua of even-even nuclei can be calculated.

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Nuclear deformation energy curves with the constrained Hartree-Fock method

Cited by 288 publications

References 56 publications

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

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

Nuclear skin emergence in Skyrme deformed Hartree-Fock calculations

Axially deformed solution of the Skyrme–Hartree–Fock–Bogolyubov equations using the transformed harmonic oscillator basis. The program HFBTHO (v1.66p)

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