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Quantum stabilization of superheavy elements is quantified in terms of the shell-correction energy. We compute the shell correction using self-consistent nuclear models: the non-relativistic Skyrme-Hartree-Fock approach and the relativistic…

Nuclear Theory · Physics 2009-11-07 M. Bender , W. Nazarewicz , P. -G. Reinhard

Adjustment of the behavior of the potential energy of nuclear deformation, defined as the sum of the energies of lowest-lying occupied single-particle levels in a deformed finite potential with a pairing correction, is considered by taking…

Nuclear Theory · Physics 2021-07-20 G. I. Bykhalo , V. N. Orlin , K. A. Stopani

Starting from light to superheavy nuclei, we have calculated the effective surface properties such as the symmetry energy, neutron pressure, and symmetry energy curvature using the coherent density fluctuation model. The isotopic chains of…

Nuclear Theory · Physics 2020-04-22 Abdul Quddus , M. Bhuyan , S. K. Patra

We systematically study the competition between {\alpha}-decay and spontaneous fission in even-even superheavy nuclei with (Z=120) and 256 \leq A \leq 304 within the preformed cluster-decay model using microscopic inputs from relativistic…

Nuclear Theory · Physics 2026-01-30 Nishu Jain , M. Bhuyan , P. Mohr , Raj Kumar

Structures of $p$- and $sd$-shell nuclei are studied with the deformed-basis antisymmetrized molecular dynamics method using the Gogny D1S and Skyrme SLy7 forces as effective interactions. By the energy variation with a constraint, energy…

Nuclear Theory · Physics 2009-06-25 Yasutaka Taniguchi , Yoshiko Kanada-En'yo , Masaaki Kimura

The modes of decay for the even-even isotopes of superheavy nuclei of Z = 118 and 120 with neutron number $160 \leq N \leq 204$ are investigated in the framework of the axially deformed relativistic mean field model. The asymmetry parameter…

Nuclear Theory · Physics 2018-05-15 M. Bhuyan , B. V. Carlson

We present a possibility that the system with Z = 20, N = 40, 60Ca, has a large deformation, even though it has both proton and neutron magic numbers, symbolizing a spherical nucleus. This large deformation corresponds to the so-called…

Nuclear Theory · Physics 2016-04-19 Chang-Bum Moon

We have derived a semiclassical trace formula for the level density of the three-dimensional spheroidal cavity. To overcome the divergences occurring at bifurcations and in the spherical limit, the trace integrals over the action-angle…

Exactly Solvable and Integrable Systems · Physics 2008-12-18 A. G. Magner , S. N. Fedotkin , K. Arita , K. Matsuyanagi , M. Brack

What are the limits of the existence of nuclei? What are the highest proton numbers $Z$ at which the nuclear landscape and periodic table of chemical elements cease to exist? These deceivably simple questions are difficult to answer…

Nuclear Theory · Physics 2020-03-17 A. V. Afanasjev , S. E. Agbemava , A. Gyawali

This study investigates the structural evolution of even-even tungsten isotopes ($^{154\text{--}264}$W) using covariant density functional theory (CDFT) with four relativistic functionals: DD-ME1, DD-ME2, DD-PC1, and DD-PCX. Key nuclear…

Nuclear Theory · Physics 2026-04-13 Usuf Rahaman

The $\alpha$-decay chain of $^{293}$118, first proposed in the Berkeley cold fusion experiment $^{208}$Pb($^{86}$Kr,1n) and now retracted, is calculated by using the preformed cluster model (PCM) of one of us (RKG). Also, the possible…

Nuclear Theory · Physics 2011-11-09 Raj K. Gupta , Sushil Kumar , Rajesh Kumar , M. Balasubramaniam , W. Scheid

Deformed shell structures in nuclear mean-field potentials are systematically investigated as functions of deformation and surface diffuseness. As the mean-field model to investigate nuclear shell structures in a wide range of mass numbers,…

Nuclear Theory · Physics 2012-09-18 Ken-ichiro Arita

The deformation parameters beta and gamma together with the two-quasiparticle excitations are taken into account, for the first time, as coordinates within a symmetry conserving (angular momentum and particle number) generator coordinate…

Nuclear Theory · Physics 2017-02-22 Fang-Qi Chen , J. Luis Egido

Synthesis of new elements at the upper border of the charts of nuclei and investigation of their decay properties and nuclear structure has been one of the main research topics in low energy nuclear physics since more than five decades.…

Nuclear Experiment · Physics 2022-04-28 Fritz Peter Hessberger

A systematic study on $\alpha$-decay half-lives for the nuclei in the range $93\leq Z \leq 118$ is done by employing various versions of proximity potentials. To obtain the more reliable results, the deformation terms are included up to…

Nuclear Theory · Physics 2021-09-29 M. Hassanzad , O. N. Ghodsi

We employ the relativistic mean-field (RMF) approach with NL3 parameters to study shell and sub-shell closures in the isotopic chains of Cl, Ar, K, Ca, Sc, Ti, V, and Cr nuclei. By analyzing nuclear bulk properties, binding energy, charge…

Nuclear Theory · Physics 2025-08-04 Priyanka Saini , Praveen K. Yadav , M. S. Mehta , M. Bhuyan

We present a review of the pseudo-SU(3) shell model and its application to heavy deformed nuclei. The model have been applied to describe the low energy spectra, B(E2) and B(M1) values. A systematic study of each part of the interaction…

Nuclear Theory · Physics 2015-06-12 Gabriela Popa , Ana Georgieva

We study the extrapolation of nuclear shell structure to the region of superheavy nuclei in self-consistent mean-field models -- the Skyrme-Hartree-Fock approach and the relativistic mean-field model -- using a large number of…

Nuclear Theory · Physics 2009-10-31 M. Bender , K. Rutz , P. -G. Reinhard , J. A. Maruhn , W. Greiner

We extend the shell model Monte Carlo approach to heavy deformed nuclei using a new proton-neutron formalism. The low excitation energies of such nuclei necessitate calculations at low temperatures for which a stabilization method is…

Nuclear Theory · Physics 2008-11-26 Y. Alhassid , L. Fang , H. Nakada

We determine ground-state and saddle-point shapes and masses of even-even superheavy nuclei in the range of proton numbers $98\leq Z \leq 126$ and neutron numbers $134\leq N \leq 192$. Our study is performed within the…

Nuclear Theory · Physics 2012-03-23 M. Kowal , P. Jachimowicz , J. Skalski
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