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A molecular description for magic-number configurations of interacting electrons in a quantum dot in high magnetic fields developed by one of the authors has been elaborated for four, five and six electron dots. For four electrons, the…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Hiroshi Imamura , Peter A. Maksym , Hideo Aoki

By using a non-relativistic independent particle model we investigate the mechanism promoting 34 as new magic number. We carried out Hartree-Fock plus Bardeen-Cooper-Schrieffer and Quasi-particle Random Phase Approximation calculations by…

Nuclear Theory · Physics 2019-09-23 G. Co' , M. Anguiano , A. M. Lallena

Atomic nuclei exhibit multiple energy scales ranging from hundreds of MeV in binding energies to fractions of an MeV for low-lying collective excitations. As the limits of nuclear binding is approached near the neutron- and proton…

Nuclear Theory · Physics 2025-02-20 Z. H. Sun , A. Ekström , C. Forssén , G. Hagen , G. R. Jansen , T. Papenbrock

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

Recently, calculations of the ground states of the lightest nuclei have been performed using highly accurate data on realistic internucleon forces. In this paper, these results were used to describe the properties of nuclei with nucleon…

Nuclear Theory · Physics 2026-03-12 Yu. P. Lyakhno

It is shown that experimental values of the cross sections of inelastic low-energy neutron scattering on even-even nuclei together with the description of these cross sections in the framework of the coupled channel optical model may be…

Nuclear Theory · Physics 2010-04-12 D. A. Zaikin , I. V. Surkova

A systematic study of the effect of tensor force on the evolution of shell structure in even-even super-heavy nuclei in the region of proton numbers Z=114, 120 and 126 and in the region of neutron numbers 178 $\le$ N $\le$ 188 is presented.…

Nuclear Theory · Physics 2022-02-11 M. El Adri , M. Oulne

Shell quenching phenomena in nuclear charge radii are typically observed at the well-established neutron magic numbers. However, the recent discovery of potential new magic numbers at the neutron numbers $N = 32$ and $N = 34$ has sparked…

Nuclear Theory · Physics 2024-12-18 Dan Yang , Yu-Ting Rong , Rong An , Rui-Xiang Shi

Two-nucleon momentum distributions are calculated for the ground states of nuclei with mass number $A\leq 8$, using variational Monte Carlo wave functions derived from a realistic Hamiltonian with two- and three-nucleon potentials. The…

Nuclear Theory · Physics 2008-11-26 R. Schiavilla , R. B. Wiringa , Steven C. Pieper , J. Carlson

We investigate the shell structure of spherical nuclear bubbles in simple phenomenological shell model potentials. The shell correction energies for doubly magic bubbles may be as large as -40 MeV and probably imply a very long lifetime…

Nuclear Theory · Physics 2009-10-30 Klaus Dietrich , Krzysztof Pomorski

Conventional signatures of nuclear magic number, including low-lying quadrupole collectivity and mass systematics, face significant challenges when probing emergent shell closures near the drip line. However, $\beta$-decay half-lives are…

Nuclear Theory · Physics 2026-03-10 L. Guo , Z. H. Wang , X. L. Zhi , Y. F. Niu , W. H. Long , Z. M. Niu , Q. B. Zeng , Z. Liu

Nuclear mass data provide EMPIRICAL evidence of: 1. Clustering of nucleons; 2. Attractive n-p interactions; and 3. Repulsive but symmetric n-n and p-p interactions after correcting for the repulsive Coulomb interactions between positive…

Nuclear Theory · Physics 2007-05-23 O. Manuel

Variation of nuclear shell effects with nucleon numbers are evaluated using the modified Bethe-Weizsacker mass formula (BWM) and the measured atomic masses. The shell effects at magic neutron numbers N = 8, 20, 28, 50, 82 and 126 and magic…

Nuclear Theory · Physics 2009-11-10 S. Adhikari , C. Samanta

The broad range of accumulated experimental data on the binding energies for single-particle states in nuclei is examined as a function of the constituent number of neutrons and protons and an unexpectedly simple pattern emerges. The…

Nuclear Theory · Physics 2021-12-14 J. P. Schiffer , B. P. Kay , J. chen

Many-particle many-hole states near the magic number 20 have been investigated in the relativistic mean field formalism using the fixed configuration method. Neutron particle-hole states in neutron-rich nuclei with $N\sim 20$, {\em i.e.}…

Nuclear Theory · Physics 2007-05-23 Samit Bhowal , Sankha Das , G. Gangopadhyay

The binding energy of an isotope is a sensitive indicator of the underlying shell structure as it reflects the net energy content of a nucleus. Since magic nuclei are significantly lighter, or more bound, compared to their neighbors, the…

Nuclear Theory · Physics 2024-03-22 Landon Buskirk , Kyle Godbey , Witold Nazarewicz , Wojciech Satula

An extensive theoretical search for the proton magic number in the superheavy valley beyond $Z=$82 and corresponding neutron magic number after $N=$126 is carried out. For this we scanned a wide range of elements $Z=112-130$ and their…

Nuclear Theory · Physics 2012-10-01 M. Bhuyan , S. K. Patra

Applications of configuration mixing methods for nuclei near the proton and neutron drip lines are discussed. A short review of magic numbers is presented. Prospects for advances in the regions of four new "outposts" are highlighted:…

Nuclear Theory · Physics 2022-04-14 B. Alex Brown

The idea of treating the trinucleon systems as elementary entities in the elementary particle model (EPM) as an Effective Field Theory has been a success in explaining the weak charge-changing processes in nuclei. The EPM results are found…

Various ground state properties are explored for full isotonic(isotopic) chain of neutron number N(proton number Z)$=$40 using different families of Relativistic Mean-Field theory. Several properties such as nucleon separation energies,…

Nuclear Theory · Physics 2021-08-04 R. Sharma , A. Jain , M. Kaushik , S. K. Jain , G. Saxena