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We study the well-posedness of the reduced Hartree-Fock model for molecules and perfect crystals when taking into account a self-generated magnetic field. We exhibit a critical value $\alpha_c > 0$ such that, if the fine structure constant…

Mathematical Physics · Physics 2019-09-04 David Gontier , Salma Lahbabi

Evolution of quadrupole deformations in $sd$ and $pf$ shell nuclei with mass A= 18$\sim$56 is studied by using deformed Skyrme Hartree-Fock (HF) model with pairing correlations. We point out that the quadrupole deformations of the nuclei…

Nuclear Theory · Physics 2009-11-11 H. Sagawa , X. R. Zhou , X. Z. Zhang

There are many complementing strategies to estimate the extrapolation errors of a model which was calibrated in least-squares fits. We consider the Skyrme-Hartree-Fock model for nuclear structure and dynamics and exemplify the following…

Nuclear Theory · Physics 2015-06-22 J. Erler , P. -G. Reinhard

This study investigates the influence of $\alpha$-cluster structures in relativistic light nuclear collisions. Using a cluster framework, I extract the characteristics of the nucleonic configurations of $^{16}$O and $^{20}$Ne as predicted…

Nuclear Theory · Physics 2026-02-25 Hadi Mehrabpour

We present a microscopic description of cluster emission processes within the Cluster--Hartree--Fock (CHF) self--consistent field (SCF) theory. The starting point is a Woods--Saxon (WS) mean field (MF) with spin--orbit and Coulomb terms.…

Nuclear Theory · Physics 2025-02-20 A. Dumitrescu , D. S. Delion

The quark-meson coupling model, based on a mean-field description of non-overlapping nucleon bags bound by the self-consistent exchange of $\sigma$, $\omega$ and $\rho$ mesons, is extended to investigate the change of hadron properties in…

Nuclear Theory · Physics 2008-11-26 K. Saito , K. Tsushima , A. W. Thomas

The theoretical formalism of the local density approximation (LDA) to density functional theory (DFT) has been used to study the electronic and geometric structures of SimCn (1<=m, n<=4;n<=m) clusters. An all electron 6-311++G** basis set…

Atomic and Molecular Clusters · Physics 2007-05-23 Prachi Pradhan , Asok K. Ray

Since the pioneering discovery of molecular resonances in the 12C+12C reaction more than half a century ago a great deal of research work has been undertaken in alpha clustering. Our knowledge on physics of nuclear molecules has increased…

Nuclear Experiment · Physics 2017-11-08 C. Beck

$\alpha$-clustering study since the pioneering discovery of $^{12}$C+$^{12}$C molecular resonances half a century ago. Our knowledge on physics of nuclear molecules has increased considerably and nuclear clustering remains one of the most…

Nuclear Experiment · Physics 2017-08-23 C. Beck

We investigate the stability and softness of nuclei against quadrupole, octupole, and hexadecapole deformation. By applying the spherical Skyrme-force Hartree-Fock Bardeen-Cooper-Schrieffer quasi-particle random phase approximation, we…

Nuclear Theory · Physics 2026-02-16 Le-Anh Nguyen , Minh-Loc Bui , Panagiota Papakonstantinou , Naftali Auerbach

Nuclear alpha-clustering has been the subject of intense study since the advent of heavy-ion accelerators. Looking back for more than 40 years we are able today to see the connection between quasimolecular resonances in heavy-ion collisions…

Nuclear Theory · Physics 2009-11-10 C. Beck

The nuclear clustering, as a quantum phase transition phenomenon governed by strong interactions, exhibits characteristics that are highly sensitive to the specific features of nuclear forces. Here, we examine how nuclear deformation and…

Nuclear Theory · Physics 2025-10-17 Zhao Jing Chen , Bao Yuan Sun

The systematic investigation of ground state shape evolution from gamma unstable O(6) to spherical U(5) for Te isotopes has been presented by using the quadrupole moment constrained Hartree Fock Bogoliubov (HFB) method with the Skyrme force…

Nuclear Theory · Physics 2015-06-12 T. Bayram , A. H. Yilmaz

Using the surface tension energy put in dependence on the number of alpha-clusters in the core in a phenomenological model representing a nucleus as a core and a nuclear molecule on its surface leads to widening the number of isotopes to be…

Nuclear Theory · Physics 2008-07-01 G. K. Nie

The main purpose of the present paper is to discuss whether or not the collective flows in heavy-ion collision at Fermi energy can be taken as a tool to investigate the cluster configuration in light nuclei. In practice, within an Extended…

Nuclear Theory · Physics 2018-03-22 Chen-Chen Guo , Wan-Bing He , Yu-Gang Ma

High-spin yrast structure of 32S is investigated by means of the cranked Skyrme-Hartree-Fock method in the three-dimensional Cartesian-mesh representation without imposing restrictions on spatial symmetries. The result suggests that 1) a…

Nuclear Theory · Physics 2009-10-31 Masayuki Yamagami , Kenichi Matsuyanagi

Background: Nuclear fission is a complex large-amplitude collective decay mode in heavy nuclei. Microscopic density functional studies of fission have previously concentrated on adiabatic approaches based on constrained static calculations…

Nuclear Theory · Physics 2015-11-18 P. M. Goddard , P. D. Stevenson , A. Rios

Iron-sulfur clusters conduct a wide variety of biochemical reactions that are conserved across all domains of life. The hyperfine structure of reactive ligands of these clusters can be studied experimentally and theoretically by means of…

Chemical Physics · Physics 2025-08-22 William C. Robinson , Victoria Pascutti , David A. Hall , Martín A. Mosquera

A great deal of research work has been undertaken in alpha-clustering study since the pioneering discovery of 12C+12C molecular resonances half a century ago. Our knowledge on physics of nuclear molecules has increased considerably and…

Nuclear Experiment · Physics 2016-12-21 C. Beck

The relation between connections on 2-dimensional manifolds and holomorphic bundles provides a new perspective on the role of classical gauge fields in quantum field theory in two, three and four dimensions. In particular we show that there…

High Energy Physics - Theory · Physics 2011-04-15 M. Asorey , F. Falceto , G. Luzon