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We study the conditions under which the nucleons inside a deformed nucleus can undergo chaotic motion. To do this we perform self-consistent calculations in semiclassical approximation utilizing a multipole-multipole interaction of the…

Nuclear Theory · Physics 2009-10-22 Wolfgang Bauer , Vladimir Zelevinsky , Peter Schuck

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

Bulk and decay properties, including deformation energy curves, charge mean square radii, Gamow-Teller (GT) strength distributions, and beta-decay half-lives, are studied in neutron-deficient even-even and odd-A Hg and Pt isotopes. The…

Nuclear Theory · Physics 2015-03-11 J. M. Boillos , P. Sarriguren

We investigate the stability and softness of nuclei against quadrupole, octupole, and hexadecapole deformation. By applying the spherical Skyrme-force Hartree-Fock Bardeen-Cooper-Schrieffer quasi-particle random phase approximation, we…

Nuclear Theory · Physics 2026-02-16 Le-Anh Nguyen , Minh-Loc Bui , Panagiota Papakonstantinou , Naftali Auerbach

A very good linear correlation is found between the four-point charge radius relation $\delta R_{2p-2n}(Z,N)$ with that of quadrupole deformation data in even-even nuclei. This results in a further improved charge radius relation that holds…

Nuclear Theory · Physics 2017-01-19 Bao-Hua Sun , Chuan-Ye Liu , Hao-Xin Wang

A geometrical analysis of the stability of nuclei against deformations is presented. In particular, we use Catastrophe Theory to illustrate discontinuous changes in the behavior of nuclei with respect to deformations as one moves in the N -…

Nuclear Theory · Physics 2024-07-23 Samyak Jain , A. Bhagwat

The dependence of the nuclear level density on intrinsic deformation is an important input to dynamical nuclear processes such as fission. Auxiliary-field Monte Carlo (AFMC) method is a powerful method for computing nuclear level densities.…

Nuclear Theory · Physics 2018-09-26 M. T. Mustonen , C. N. Gilbreth , Y. Alhassid , G. F. Bertsch

The deformation of heavy nuclei leaves characteristic imprints on the initial conditions of relativistic heavy-ion collisions. However, event-by-event fluctuations make the quantitative extraction of this information challenging. This study…

Nuclear Theory · Physics 2026-03-31 Jun-Qi Tao , Yang Liu , Yu Sha , Xiang Fan , Yan-Sheng Tu , Kai Zhou , Hua Zheng , Ben-Wei Zhang

The nearest neighbour level spacing distribution and the $\Delta_3$ statistics of level fluctuations associated with very high spin states ($I \gesim 30$) in rare-earth deformed nuclei are analysed by means of a cranked shell model. The…

Nuclear Theory · Physics 2009-10-30 M. Matsuo , T. Døssing , E. Vigezzi , S. Åberg

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

We consider the nuclear shadowing in deep-inelastic scattering corresponding to kinematic regions accessible by future experiments at electron-ion colliders. The gluon distribution at small $x$ is obtained using an improved dipole model…

Nuclear Theory · Physics 2024-11-25 G. R. Boroun , B. Rezaei

We propose a new method of the $\beta$-$\gamma$ constraint for quadrupole deformation in antisymmetrized molecular dynamics (AMD) to describe various cluster and shell-model structures in the ground and excited states of light nuclei. We…

Nuclear Theory · Physics 2014-11-20 Tadahiro Suhara , Yoshiko Kanada-En'yo

The high-order deformation effects in even-even $^{246,248}$No are investigated by means of pairing self-consistent Woods-Saxon-Strutinsky calculations using the potential-energy-surface (PES) approach in an extended deformation space…

Nuclear Theory · Physics 2025-04-22 Jin-Liang Guo , Hua-Lei Wang , Kui Xiao , Zhen-Zhen Zhang , Min-Liang Liu

Multiple high precision $\beta$-decay measurements are being carried out these days on various nuclei, in search of beyond the Standard Model signatures. These measurements necessitate accurate standard model theoretical predictions to be…

Nuclear Theory · Physics 2022-09-28 Ayala Glick-Magid , Doron Gazit

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

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

It is shown that the renormalized nuclear deformations in different mass regions can be globally scaled by two probability partition factors of Boltzmann-like distribution, which are derived from the competing valence $np$ and like-nucleon…

Nuclear Theory · Physics 2019-05-14 J. G. Wang , M. L. Liu , C. M. Petrache , K. K. Zheng , X. H. Zhou , Y. H. Zhang

A series of findings in machine learning (ML) and decay theory are captured while exploring the role of deformation and preformation factors in {\alpha} decay. We provide a novel and practical paradigm for developing physics-driven machine…

Nuclear Theory · Physics 2025-04-08 Ruixiong Li , Jingyu Xiao , Hongfei Zhang , Nana Ma

The interpretation of nuclear observables in the laboratory frame in terms of the intrinsic deformation parameters beta and gamma is a classical theme in nuclear structure. Here we use the quadrupole invariants (Kumar), calculated within…

Nuclear Theory · Physics 2020-05-20 Alfredo Poves , Frederic Nowacki , Yoram Alhassid

A phenomenological level density model that has different level density parameter sets for the state densities of the deformed and the spherical states, and the optimization of the parameters using experimental data of the average s-wave…

Nuclear Theory · Physics 2018-11-28 Naota Furutachi , Futoshi Minato , Osamu Iwamoto