DESCRIPTION OF SHAPE COEXISTENCE BY MEAN-FIELD AND BEYOND MEAN-FIELD METHODS

In this talk, we present a method which allows the introduction of correlations beyond a Skyrme Hartree-Fock calculation by symmetry restoration and configuration mixing on the axial quadrupole moment. A first application to 240 Pu is discussed, to show the potential of the method. As an example of the shape coexistence phenomenon in Pb isotopes, results for collective spectra and transition probabilities are then presented for 188 Pb .

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Comparison between the Thomas–Fermi and Hartree–Fock–Bogoliubov Methods in the Inner Crust of a Neutron Star: The Role of Pairing Correlations

Universe ◽

10.3390/universe6110206 ◽

2020 ◽

Vol 6 (11) ◽

pp. 206

Author(s):

Matthew Shelley ◽

Alessandro Pastore

Keyword(s):

Neutron Star ◽

Mean Field ◽

Pairing Correlation ◽

Field Methods ◽

Density Region ◽

Thomas Fermi ◽

Hartree Fock ◽

Pairing Correlations ◽

Mean Field Methods

We investigated the role of a pairing correlation in the chemical composition of the inner crust of a neutron star with the extended Thomas–Fermi method, using the Strutinsky integral correction. We compare our results with the fully self-consistent Hartree–Fock–Bogoliubov approach, showing that the resulting discrepancy, apart from the very low density region, is compatible with the typical accuracy we can achieve with standard mean-field methods.

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STUDY OF THE TENSOR CORRELATION IN A NEUTRON-RICH SD-SHELL REGION WITH MEAN-FIELD AND BEYOND-MEAN-FIELD METHODS

Modern Physics Letters A ◽

10.1142/s0217732308029848 ◽

2008 ◽

Vol 23 (27n30) ◽

pp. 2581-2584

Author(s):

SATORU SUGIMOTO ◽

HIROSHI TOKI ◽

KIYOMI IKEDA

Keyword(s):

Mean Field ◽

Tensor Force ◽

Neutron Number ◽

Field Method ◽

Field Methods ◽

Orbit Splitting ◽

Tensor Correlation ◽

Hartree Fock ◽

Order Of Magnitude ◽

Mean Field Methods

We study the effect of the tensor force on nuclear structure with mean-field and beyond-mean-field methods. An important correlation induced by the tensor force is two-particle–two-hole (2p2h) correlation, which cannot be treated with a usual mean-field method. To treat the 2p2h tensor correlation, we develop a new framework (charge- and parity-projected Hartree-Fock (CPPHF) method), which is a beyond-mean-field method. We apply the CPPHF method to oxygen isotopes including neutron-rich ones. The potential energy from the tensor force has the same order of magnitude as that from the LS force and becomes smaller with neutron number, which indicates that excess neutrons do not contribute to the 2p2h tensor correlation significantly. We also study the effect of the tensor force on spin-orbit-splitting (ls-splitting) in a neutron-rich fluorine isotope 23 F . The tensor force reduces the ls-splitting for the proton d-orbits by about 3MeV. This effect is important to reproduce the experimental value.

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A one-dimensional modified TASEP model on a track of variable length: analytical and computational results

Journal of Physics Conference Series ◽

10.1088/1742-6596/2090/1/012025 ◽

2021 ◽

Vol 2090 (1) ◽

pp. 012025

Author(s):

B. Reed ◽

E. Aldrich ◽

L. Stoleriu ◽

D.A. Mazilu ◽

I. Mazilu

Keyword(s):

Monte Carlo ◽

Molecular Motors ◽

Mean Field Theory ◽

Mean Field ◽

Limited Range ◽

Field Methods ◽

One Dimensional ◽

Emergent Features ◽

Simulation Results ◽

Mean Field Methods

Abstract We present analytical solutions and Monte Carlo simulation results for a one-dimensional modified TASEP model inspired by the interplay between molecular motors and their cellular tracks of variable lengths, known as microtubules. Our TASEP model incorporates rules for changes in the length of the track based on the occupation of the first two sites. Using mean-field theory, we derive analytical results for the particle densities and particle currents and compare them with Monte Carlo simulations. These results show the limited range of mean-field methods for models with localized high correlation between particles. The variability in length adds to the complexity of the model, leading to emergent features for the evolution of particle densities and particle currents compared to the traditional TASEP model.

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