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New developments have been brought to our energy-, spin- and parity-dependent nuclear level densities based on the microscopic combinatorial method. Our new calculation is based on the BSkG3 mean-field model which relies on a…

Nuclear Theory · Physics 2026-01-08 S. Goriely , W. Ryssens , S. Hilaire , A. J. Koning

When the time dependent Hartree-Fock-Bogoliubov intrinsic equations of motion are solved in the case of seniority one nuclear systems, the unpaired nucleon remains on the same orbital. The blocking effect hinders the possibility to skip…

Nuclear Theory · Physics 2008-11-26 M. Mirea

We study the relation between the finite-range (meson-exchange) and zero-range (point-coupling) representations of effective nuclear interactions in the relativistic mean-field framework. Starting from the phenomenological interaction…

Nuclear Theory · Physics 2008-11-26 T. Niksic , D. Vretenar , G. A. Lalazissis , P. Ring

The influence of pairing correlations on the nuclear size and in particular on the formation of nuclear halos is studied in the framework of relativistic continuum Hartree-Bogoliubov (RCHB) theory. It turns out that the contributions from…

Nuclear Theory · Physics 2013-08-09 Ying Chen , Peter Ring , Jie Meng

Nucleons are known to form pairing correlations with various types of spin-symmetries. Spin-singlet neutron-neutron and proton-proton pairing is abundant in the nuclear chart but spin-triplet and mixed-spin proton-neutron pairing…

Nuclear Theory · Physics 2025-08-29 G. Palkanoglou , A. Gezerlis

Random interaction models have been successful in describing the amorphous properties of solids such as spin-glasses and structural glasses. This modelling approach is applied to a system of zero-spin cold bosons moving in an amorphous…

Disordered Systems and Neural Networks · Physics 2009-09-23 J. van Baardewijk

The scaled harmonic oscillator basis (SHO) is derived by a local scaling-point transformation of the spherical harmonic oscillator radial wave functions. The unitary scaling transformation produces a basis with improved asymptotic…

Nuclear Theory · Physics 2008-11-26 M. Stoitsov , P. Ring , D. Vretenar , G. A. Lalazissis

A generalized Bogoliubov model of the Bose gas in the ground state is proposed which properly takes into account both the long-range and short-range spatial boson correlations. It concerns equilibrium characteristics and operates with…

Statistical Mechanics · Physics 2007-05-23 A. Yu. Cherny , A. A. Shanenko

We study the Bogoliubov-Dirac-Fock (BDF) model, a no-photon, mean-field approxi- mation of quantum electrodynamics that allows to study relativistic electrons interacting with the vacuum. It is a variational model in which states are…

Mathematical Physics · Physics 2014-05-16 Jérémy Sok

We propose a simple method to reproduce the ^1S_0 pairing properties of nuclear matter, which are obtained using a sophisticated model, by introducing a density-independent cutoff into the relativistic mean field model. This can be applied…

Nuclear Theory · Physics 2009-10-31 Tomonori Tanigawa , Masayuki Matsuzaki

The thermodynamics of a homogeneous dilute Bose gas with an arbitrary strong repulsion between particles is investigated on the basis of the exact relation connecting the pair correlation function with the in-medium pair wave functions and…

Statistical Mechanics · Physics 2007-05-23 A. Yu. Cherny , A. A. Shanenko

Weakly-bound deformed nuclei have been studied by the Skyrme Hartree-Fock-Bogoliubov (HFB) approach in large coordinate-space boxes. In particular, the box-size dependence of the HFB calculations of weakly-bound deformed nuclei are…

Nuclear Theory · Physics 2015-06-17 Y. N. Zhang , J. C. Pei , F. R. Xu

We investigate the thermodynamic properties of an interacting Bose gas with a condensate within the energy-functional formulation of the Hartree-Fock-Bogoliubov (HFB) approach. For a contact interaction, we derive a self-consistent solution…

Quantum Gases · Physics 2025-10-28 M. Bulakhov , A. S. Peletminskii

Continuum effects in the weakly bound nuclei close to the drip-line are investigated using the analytically soluble Poschl-Teller-Ginocchio potential. Pairing correlations are studied within the Hartree-Fock-Bogoliubov method. We show that…

Nuclear Theory · Physics 2009-10-31 K. Bennaceur , J. Dobaczewski , M. Ploszajczak

A systematic investigation of even-even superheavy elements in the region of proton numbers $100 \leq Z \leq 130$ and in the region of neutron numbers from the proton-drip line up to neutron number $N=196$ is presented. For this study we…

Nuclear Theory · Physics 2016-04-27 S. E. Agbemava , A. V. Afanasjev , T. Nakatsukasa , P. Ring

The renormalization of a gapless Phi-derivable Hartree--Fock approximation to the O(N)-symmetric lambda*phi^4 theory is considered in the spontaneously broken phase. This kind of approach was proposed by three of us in a previous paper in…

High Energy Physics - Phenomenology · Physics 2009-11-11 Yu. B. Ivanov , F. Riek , H. van Hees , J. Knoll

In this latest of our series of Skyrme-HFB mass models, HFB-16, we introduce the new feature of requiring that the contact pairing force reproduce at each density the $^1S_0$ pairing gap of neutron matter as determined in microscopic…

Nuclear Theory · Physics 2008-11-26 N. Chamel , S. Goriely , J. M. Pearson

We study the renormalization of a particular sector of Horndeski theory. In particular, we focus on the nonminimal coupling of a scalar field to the Gauss-Bonnet term and its kinetic coupling to the Einstein tensor. Adopting a power…

High Energy Physics - Theory · Physics 2024-05-14 Nicolás Cáceres , Cristóbal Corral , Felipe Diaz , Rodrigo Olea

The physical reason why one can calculate with similar accuracy, as compared to the experimental data, the absolute cross section associated with two-nucleon transfer processes between members of pairing rotational bands, making use of…

Nuclear Theory · Physics 2017-09-20 G. Potel , A. Idini , F. Barranco , E. Vigezzi , R. A. Broglia

We extend the results of the 2019 paper by the third and fourth author globally in time. More precisely, we prove uniform in $N$ estimates for the solutions $\phi$, $\Lambda$ and $\Gamma$ of a coupled system of Hartree-Fock-Bogoliubov type…

Analysis of PDEs · Mathematics 2022-03-11 Jacky Chong , Xin Dong , Manossos Grillakis , Matei Machedon , Zehua Zhao