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Using the framework of nuclear energy density functionals we examine the conditions for single-nucleon localization and formation of cluster structures in finite nuclei. We propose to characterize localization by the ratio of the dispersion…

Nuclear Theory · Physics 2015-06-05 J. -P. Ebran , E. Khan , T. Niksic , D. Vretenar

The nodal structure of the density distributions of the single-particle states occupied in rod-shaped, hyper- and megadeformed structures of non-rotating and rotating $N\sim Z$ nuclei has been investigated in detail. The single-particle…

Nuclear Theory · Physics 2018-04-17 A. V. Afanasjev , H. Abusara

The nucleonic localization function has been used for a decade to study the formation of alpha-particles in nuclei, by providing a measure of having nucleons of a given spin in a single place. However, differences in interpretation remain,…

Nuclear Theory · Physics 2023-01-11 E. Khan , L. Heitz , F. Mercier , J. -P. Ebran

As follows from the energies of single-particle states in ^{40}Ca, ^{90}Zr and ^{208}Pb nuclei the contribution of many-particle NN forces to the nuclear single-particle potential is at least the sum of repulsive and attractive parts…

Nuclear Theory · Physics 2007-05-23 B. L. Birbrair , V. I. Ryazanov

Relativistic energy density functional approaches are known to well describe nuclear states which involve alpha clusters. Here, alpha emitting nuclei are analysed through the behavior of the spatial localisation of nucleonic states,…

Nuclear Theory · Physics 2021-02-03 J. -P. Ebran , E. Khan , R. -D. Lasseri

We discuss different approaches to the problem of reproducing the observed features of nuclear single-particle (s.p.) spectra. In particular, we analyze the dominant energy peaks, and the single-particle strength fragmentation, using the…

Nuclear Theory · Physics 2015-05-18 P. F. Bortignon , G. Colò , H. Sagawa

Nucleonic matter displays a quantum liquid structure, but in some cases finite nuclei behave like molecules composed of clusters of protons and neutrons. Clustering is a recurrent feature in light nuclei, from beryllium to nickel. For…

Nuclear Theory · Physics 2015-06-04 J. -P Ebran , E. Khan , T. Niksic , D. Vretenar

An electron localization measure was originally introduced to characterize chemical bond structures in molecules. Recently, a nucleon localization based on Hartree-Fock densities has been introduced to investigate $\alpha$-cluster…

Nuclear Theory · Physics 2017-02-02 C. L. Zhang , B. Schuetrumpf , W. Nazarewicz

As part of the ongoing NUCLEI-PACK project, this study presents a semi-classical framework for exploring the microscopic geometry of light and exotic nuclei based on optimized sphere packing of nucleons and clusters. Starting from explicit…

Nuclear Theory · Physics 2025-10-14 H. M. Maridi

Independent particle model in nuclear physics assumes that the nucleon in the nucleus moves in the average (mean field) potential generated by all other nucleons. This chapter gives a short overview of basic features of the independent…

Nuclear Theory · Physics 2022-09-13 A. V. Afanasjev

Phase transformations ruled by non-simultaneous nucleation and growth do not lead to random distribution of nuclei. Since nucleation is only allowed in the untransformed portion of space, positions of nuclei are correlated. In this article…

Chemical Physics · Physics 2018-02-14 Massimo Tomellini

Nuclear surface diffuseness reflects spectroscopic information near the Fermi level. I propose a way to decompose the surface diffuseness into single-particle (s.p.) contributions in a quantitative way. Systematic behavior of the surface…

Nuclear Theory · Physics 2021-10-12 Wataru Horiuchi

In analogy with the Nilsson model, we calculate the splitting of spherical single-particle levels in a deformed field, but for cluster potentials. We study applications to alpha-cluster nuclei with two, three and four alpha particles, in…

Nuclear Theory · Physics 2018-09-26 A. H. Santana-Valdés , R. Bijker

We analyze the influence of the single-particle structure on the neutron density distribution and the neutron skin in Ca, Ni, Zr, Sn, and Pb isotopes. The nucleon density distributions are calculated in the Hartree-Fock+BCS approach with…

Nuclear Theory · Physics 2014-06-06 M. Warda , M. Centelles , X. Vinas , X. Roca-Maza

Description of a nuclear system in its ground state and at low excitations based on the equation of state (EoS) around normal density is presented. In the expansion of the EoS around the saturation point additional spin polarization terms…

Antisymmetrized molecular dynamics with quantum branching is generalized so as to allow finite time duration of the unrestricted coherent mean field propagation which is followed by the decoherence into wave packets. In this new model, the…

Nuclear Theory · Physics 2011-08-04 Akira Ono , S. Hudan , A. Chbihi , J. D. Frankland

For localized and oriented vibrationally excited molecules, the one-body probability density of the nuclei (one-nucleus density) is studied. Like the familiar and widely used one-electron density that represents the probability of finding…

Chemical Physics · Physics 2019-02-21 Axel Schild

The spatial structure of $^{14}$N nucleus is studied within a five-particle model (three $\alpha$-particles plus two nucleons). Using the variational approach with Gaussian bases, the ground-state energy and wave function are calculated for…

Nuclear Theory · Physics 2018-01-09 B. E. Grinyuk , D. V. Piatnytskyi

The transition from cluster structures to extremely elongated ellipsoidal shapes and nuclear molecules in light $A=12-50$ $(N \sim Z)$ nuclei has been studied within the framework of covariant density functional theory. Nodal structure of…

Nuclear Theory · Physics 2018-11-29 A. V. Afanasjev

A role of different components in the wave function of the weakly bound light nuclei states was studied within the framework of the cluster model, taking into account of orbitals "polarization". It was shown that a limited number of…

Nuclear Theory · Physics 2015-06-26 O. L. Savchenko , A. I. Steshenko
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