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Related papers: Numerical approach to the nuclear deformation ener…

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The shell correction method is revisited. Contrary to the traditional Strutinsky method, the shell energy is evaluated by an averaging over the number of particles and not over the single-particle energies, which is more consistent with the…

Nuclear Theory · Physics 2009-11-10 K. Pomorski

The quantization of the kinetic energy of a deformed nucleus in curvilinear coordinates in the case of octupole oscillations of its surface firstly has been carried out. The obtained form of the Hamiltonian differs from the previously…

Nuclear Theory · Physics 2023-07-20 M. S. Nadirbekov , O. A. Bozarov , N. Minkov

Deformation, a key concept in our understanding of heavy nuclei, is based on a mean-field description that breaks the rotational invariance of the nuclear many-body Hamiltonian. We present a method to analyze nuclear deformations at finite…

Nuclear Theory · Physics 2015-01-07 Y. Alhassid , C. N. Gilbreth , G. F. Bertsch

Nuclear deformation effects are theoretically investigated in terms of deformation corrections of the electronic binding and transition energies, $g$ factor, and hyperfine splitting constant. By solving the Dirac equation twice, with the…

Atomic Physics · Physics 2023-09-15 Zewen Sun , Igor A. Valuev , Natalia S. Oreshkina

We investigate truncation schemes to reduce the computational cost of calculating correlations by the generator coordinate method based on mean-field wave functions. As our test nuclei, we take examples for which accurate calculations are…

Nuclear Theory · Physics 2009-11-10 M. Bender , G. Bertsch , P. -H. Heenen

A method is proposed for the experimental measurement of neutron separation energies for nuclei far from stability. The procedure is based on determining cross sections for the production of nuclei, by projectile fragmentation, for which…

Nuclear Experiment · Physics 2009-11-10 W. A. Friedman , M. B. Tsang

We present a novel nuclear energy density functional method to calculate spectroscopic properties of atomic nuclei. Intrinsic nuclear quadrupole deformations and rotational frequencies are considered simultaneously as the degrees of freedom…

Nuclear Theory · Physics 2016-02-10 J. Luis Egido , Marta Borrajo , Tomás R. Rodríguez

Background: Understanding nuclear shape is a crucial problem in nuclear physics. In particular, determining the sign of quadrupole deformation, i.e., whether prolate or oblate, remains a challenging problem. Purpose: Our aim is to propose a…

Nuclear Theory · Physics 2024-10-02 Shin Watanabe , Yoshiki Suzuki , Masaaki Kimura , Kazuyuki Ogata

The nuclear quadruple moment is a fundamental character associated to the nuclei, this moment is related to the not purely spherical distribution in the nuclei, indeed its measure allows us to survey the geometric deformation of the nuclei…

Nuclear Theory · Physics 2016-07-05 Mohamed Belfkir

The scission of a nucleus into two fragments is at present the least understood part of the fission process, though the most important for the formation of the observables. To investigate the potential energy landscape at the largest…

Nuclear Theory · Physics 2013-04-01 Fedir Ivanyuk

We present a method to calculate neutron scattering cross sections for deformed nuclei using many--body wavefunctions described with multiple reference states. Nuclear states are calculated with the generator coordinate method using a low…

Nuclear Theory · Physics 2025-09-08 J. Boström , J. Rotureau , B. G. Carlsson , A. Idini

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

Recent ineleastic electron-proton scattering experiments have led to rather accurate values for the N->Delta transition quadrupole moment Q(N->Delta).The experimental results imply a prolate (cigar-shaped) intrinsic deformation of the…

Atomic Physics · Physics 2009-11-11 A. J. Buchmann

Isotope shifts of the mean square radii (MSR) and electric quadrupole moments of even-even nuclei with 20< Z < 98$ are calculated using a dynamical microscopic model. A single particle Nilsson potential with the Seo set of correction term…

Nuclear Theory · Physics 2009-09-25 Bozena Nerlo-Pomorska , Beata Mach

The structure of finite nuclei is investigated by employing an interaction model which is based on the low-momentum interaction $V_{lowk}$. It is supplemented by a density-dependent contact interaction fitted to reproduce the saturation…

Nuclear Theory · Physics 2015-06-19 E. N. E. van Dalen , H. Müther

We develop a formalism for calculating the distribution of the axial quadrupole operator in the laboratory frame within the rotationally invariant framework of the configuration-interaction shell model. The calculation is carried out using…

Nuclear Theory · Physics 2018-01-31 C. N. Gilbreth , Y. Alhassid , G. F. Bertsch

Potential energy surfaces of even-even superheavy nuclei are evaluated within the macroscopic-microscopic approximation. A very rapidly converging analytical Fourier-type shape parametrization is used to describe nuclear shapes throughout…

We previously proposed a formula for calculating the Coulomb energy of spherical nucleus with Wood-Saxon charge distribution. In this work, the analytical formula is extended for description of the Coulomb energy of nucleus with beta2…

Nuclear Theory · Physics 2011-01-20 Ning Wang , Xuexin Yu , Min Liu

The shape of atomic nuclei is often interpreted to possess a quadrupole deformation that fluctuates around some average profile. We investigate the impact of nuclear shape fluctuations on the initial state geometry in heavy ion collisions,…

Nuclear Theory · Physics 2023-06-27 Aman Dimri , Somadutta Bhatta , Jiangyong Jia

The possible existence of stable axial octupole and tetrahedral deformations is investigated in $^{80}$Zr and $^{98}$Zr. HFBCS calculations with parity projection have been performed for various parametrizations of the Skyrme energy…

Nuclear Theory · Physics 2008-11-26 K. Zberecki , P. Magierski , P. -H. Heenen , N. Schunck
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