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Magic numbers lie at the heart of nuclear structure, reflecting enhanced stability in nuclei with closed shells. While the emergence of magic numbers beyond 20 is commonly attributed to strong spin-orbit coupling, the microscopic origin of…

Nuclear Theory · Physics 2026-02-23 C. R. Ding , C. C. Wang , J. M. Yao , H. Hergert , H. Z. Liang , S. Bogner

The nuclear shell model is a benchmark for the description of the structure of atomic nuclei. The magic numbers associated with closed shells have long been assumed to be valid across the whole nuclear chart. Investigations in recent years…

Popular Physics · Physics 2010-06-15 R. Kruecken

The atomic nucleus is a quantum many-body system whose constituent nucleons (protons and neutrons) are subject to complex nucleon-nucleon interactions that include spin- and isospin-dependent components. For stable nuclei, already several…

Nuclear Theory · Physics 2020-04-01 Takaharu Otsuka , Alexandra Gade , Olivier Sorlin , Toshio Suzuki , Yutaka Utsuno

The main purpose of the present manuscript is to review the structural evolution along the isotonic and isotopic chains around the "traditional" magic numbers 8; 20; 28; 50; 82 and 126. The exotic regions of the chart of nuclides have been…

Nuclear Experiment · Physics 2008-12-18 O. Sorlin , M. -G. Porquet

The magic numbers in exotic nuclei are discussed, and their novel origin is shown to be the spin-isospin dependent part of the nucleon-nucleon interaction in nuclei. The importance and robustness of this mechanism is shown in terms of meson…

Background: The isotropic harmonic oscillator supplemented by a strong spin-orbit interaction has been the cornerstone of nuclear structure since its inception more than seven decades ago. In this paper we introduce---or rather…

Nuclear Theory · Physics 2020-11-11 Junjie Yang , J. Piekarewicz

The study of exotic nuclei---nuclei with the ratio of neutron number $N$ to proton number $Z$ deviating much from that of those found in nature---is at the forefront of nuclear physics research because it can not only reveal novel nuclear…

Nuclear Theory · Physics 2017-03-28 Shan-Gui Zhou

In nuclear physics a magic number is defined as the nucleon number, which is separated by a significantly large single-particle energy gap from the next nucleon. Magic numbers define the nuclear shells, which are considered to be active,…

Nuclear Theory · Physics 2019-09-04 Andriana Martinou , Dennis Bonatsos

There have been many empirical evindences which show that the single-particle picture holds to a good approximation in atomic nuclei. In this picture, protons and neutrons move independently inside a mean-field potential generated by an…

Nuclear Theory · Physics 2020-04-03 K. Hagino , Y. Maeno

Atomic nuclei have a shell structure where nuclei with 'magic numbers' of neutrons and protons are analogous to the noble gases in atomic physics. Only ten nuclei with the standard magic numbers of both neutrons and protons have so far been…

Theoretical predictions and experimental discoveries for neutron-rich, short-lived nuclei far from stability indicate that the familiar concept of nucleonic shell structure should be considered as less robust than previously thought. The…

Nuclear Theory · Physics 2008-11-26 J. Dobaczewski , N. Michel , W. Nazarewicz , M. Ploszajczak , J. Rotureau

We investigated the evolution of shell structure at $N=32$ and 34 in neutron-rich nuclei beyond the stability line using realistic nuclear forces, employing the state-of-the-art valence-space in-medium similarity renormalization group…

Nuclear Theory · Physics 2025-08-06 Subhrajit Sahoo , Praveen C. Srivastava

The nuclear shell structure, which originates in the nearly independent motion of nucleons in an average potential, provides an important guide for our understanding of nuclear structure and the underlying nuclear forces. Its most…

The calculation of a statistical measure of complexity and the Fisher-Shannon information in nuclei is carried out in this work. We use the nuclear shell model in order to obtain the fractional occupation probabilities of nuclear orbitals.…

Adaptation and Self-Organizing Systems · Physics 2009-06-18 Ricardo Lopez-Ruiz , Jaime Sanudo

Exotic nuclei are characterized by a number of neutrons (or protons) in excess relative to stable nuclei. Their shell structure, which represents single-particle motion in a nucleus, may vary due to nuclear force and excess neutrons, in a…

The Dirac structure of the nucleon self-energy in symmetric nuclear matter as well as neutron matter is derived from a realistic meson exchange model for the nucleon-nucleon (NN) interaction. It is demonstrated that the effects of…

Nuclear Theory · Physics 2016-08-15 E. Schiller , H. Müther

Neutron shell-structure and the resulting possible deformation in the neighborhood of neutron-drip-line nuclei are systematically discussed, based on both bound and resonant neutron one-particle energies obtained from spherical and deformed…

Nuclear Theory · Physics 2012-07-11 Ikuko Hamamoto

Quasi-nuclear systems, representing nuclei with variable size, are studied to investigate the occurrence of the spin-orbit term in the nuclear mean field in the transition from infinite nuclear matter to finite nuclei. Relativistic as well…

Nuclear Theory · Physics 2021-02-10 H. Müther

The shell evolution has been studied extensively within the framework of interacting shell model, while the studies from the single particle viewpoint is relatively lacking or neglected. In particular, the isospin dependence of spin-orbit…

Nuclear Theory · Physics 2020-11-30 Weiqiang Ma , Yibin Qian

Modern nuclear structure theory is rapidly evolving towards regions of exotic short-lived nuclei far from stability, nuclear astrophysics applications, and bridging the gap between low-energy QCD and the phenomenology of finite nuclei. The…

Nuclear Theory · Physics 2009-11-10 D. Vretenar
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