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The spectral and statistical properties of nuclei $^{46}$V and $^{48}$Cr are studied in the framework of nuclear shell model. A microscopical effective Hamiltonian derived from the CD-Bonn \textit{NN} potential is employed. The calculations…

Nuclear Theory · Physics 2007-05-23 C. Qi , F. R. Xu

We study binding energies in three isotopic chains ($^{100-130}$Sn, $^{152-181}$Yb, and $^{181-202}$Pb) using the extended pairing model with Nilsson single-particle energies. The exactly solvable nature of the model means that the pairing…

Nuclear Theory · Physics 2007-05-23 V. G. Gueorguiev , Feng Pan , J. P. Draayer

Isochronous mass spectrometry has been applied in the storage ring CSRe to measure the masses of the neutron-rich $^{\operatorname{52-54}}$Sc and $^{54,56}$Ti nuclei. The new mass excess values $ME$($^{52}$Sc) $=$ $-40525(65)$ keV,…

Recent mass measurements show a substantial weakening of the binding energy difference delta_{2p} (Z,N) = E(Z-2,N) - 2 E(Z,N) + E(Z+2,N) in the neutron-deficient Pb isotopes. As delta_{2p} is often attributed to the size of the proton magic…

Nuclear Theory · Physics 2007-05-23 M. Bender , T. Cornelius , G. A. Lalazissis , J. A. Maruhn , W. Nazarewicz , P. -G. Reinhard

The extended kernel ridge regression (EKRR) method with odd-even effects was adopted to improve the description of the nuclear charge radius using five commonly used nuclear models. These are: (i) the isospin dependent $A^{1/3}$ formula,…

Nuclear Theory · Physics 2024-04-22 Lu Tang , Zhen-Hua Zhang

Based on the realistic nuclear force of the high-precision CD-Bonn potential, we have performed comprehensive calculations for neutron-rich calcium isotopes using the Gamow shell model (GSM) which includes resonance and continuum. The…

Nuclear Theory · Physics 2021-01-12 J. G. Li , B. S. Hu , Q. Wu , Y. Gao , S. J. Dai , F. R. Xu

The evolution of the energy difference between the neutron states $1i_{13/2}$ and $1h_{9/2}$ in the $N=82$ isotones and that between the proton states $1h_{11/2}$ and $1g_{7/2}$ in the $Z = 50$ isotopes are investigated within the framework…

Nuclear Theory · Physics 2021-07-27 Zhiheng Wang , Tomoya Naito , Haozhao Liang

The nuclear structure of even-even and odd lead isotopes (178-236 Pb) is investigated within the Hartree-Fock-Bogoliubov theory. Calculations are performed for a wide range of neutron numbers, starting from the proton-rich side up to the…

Nuclear Theory · Physics 2018-01-10 Younes El Bassem , Mustapha Oulne

Ground-state properties of A = 20 nuclei ($^{20}$N, $^{20}$O, $^{20}$F, $^{20}$Ne, $^{20}$Na, $^{20}$Mg) are described in the framework of Relativistic Hartree-Bogoliubov (RHB) theory. The model uses the NL3 effective interaction in the…

Nuclear Theory · Physics 2009-11-06 G. A. Lalazissis , D. Vretenar , P. Ring

Although it is known that the $N=28$ spherical shell closure erodes, the strength of the closure with decreasing proton number $Z<20$ is an open question in nuclear structure. In this region of interest, direct high-precision mass…

We have performed shell-model calculations for the N=126 isotones 210Po, 211At, and 212Rn using a realistic effective interaction derived from the Bonn A nucleon-nucleon potential by means of a G-matrix folded-diagram method. The calculted…

Nuclear Theory · Physics 2009-10-31 L. Coraggio , A. Covello , A. Gargano , N. Itaco , T. T. S. Kuo

The evolution of the N=50 gap is analyzed as a function of the occupation of the proton f5/2 and p3/2 orbits. It is based on experimental atomic masses, using three different methods of one or two-neutron separation energies of ground or…

Nuclear Experiment · Physics 2015-06-03 M. -G. Porquet , O. Sorlin

We present the state-of-the art shell model calculations in a large model space (pf for protons, fpgd for neutrons), which allow to study simultaneously excitations across the Z=28 and N=50 shell gaps. We explore the region in the vicinity…

Nuclear Theory · Physics 2015-06-03 K. Sieja , F. Nowacki

The neutron-rich nuclei 130Cd and 206Hg, so important in the astrophysical processes, may also be useful in tracking the evolution of nuclear shell gaps as one traverses the neutron-rich region. The high spin 8+ isomer in 130Cd and the 10+…

Nuclear Theory · Physics 2019-05-28 Bhoomika Maheshwari , Hasan Abu Kassim , Norhasliza Yusof , Ashok Kumar Jain

By using a phenomenologically successful Woods-Saxon potential, I study the shape and shell structure of (A) neutron drip line nuclei with 10 \leq N \leq 60, (B) neutron-rich nuclei related to the r- process with 40 \leq N \leq 90, and (C)…

Nuclear Theory · Physics 2019-04-03 Ikuko Hamamoto

A model with nucleons in a charge-independent potential well interacting by an isovector pairing force is considered. For a 24-dimensional valence space, the Hartree-Bogolyubov (HB) plus random phase approximation (RPA) to the lowest…

Nuclear Theory · Physics 2014-03-24 I. Bentley , K. Neergård , S. Frauendorf

Study of the ground-state properties of Kr, Sr and Zr isotopes has been performed in the framework of the relativistic mean field (RMF) theory using the recently proposed relativistic parameter set NL-SH. It is shown that the RMF theory…

Nuclear Theory · Physics 2016-09-08 G. A. Lalazissis , M. M. Sharma

Halo phenomena have long been an important frontier in both experimental and theoretical nuclear physics. $^{37}$Mg was identified as a halo nucleus in 2014 and remains the heaviest nuclear halo system to date. While the halo phenomenon in…

Nuclear Theory · Physics 2023-08-10 K. Y. Zhang , S. Q. Yang , J. L. An , S. S. Zhang , P. Papakonstantinou , M. -H. Mun , Y. Kim , H. Yan

Experimental energy spectrum and B(E2) values in 68Ni and 90Zr indicate a double-magic character in these neutron-rich nuclei with N or Z=40. The data nevertheless do not show any pronounced irregularity in two-nucleon separation energy. To…

Nuclear Theory · Physics 2014-11-18 K. Kaneko , M. Hasegawa , T. Mizusaki , Y. Sun

An analytic phenomenological shell model mass formula for light nuclei is constructed., The formula takes into account the non locality of the self consistent single particle potential and the special features of light nuclei, namely: a)…

Nuclear Theory · Physics 2012-07-26 Mariano Bauer , Hugo Garcia Tecocoatzi , Cristian Mojica