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On the basis of the adiabatic self-consistent collective coordinate method, we develop an efficient microscopic method of deriving the five-dimensional quadrupole collective Hamiltonian and illustrate its usefulness by applying it to the…

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

We study the oblate-prolate shape mixing in the low-lying states of proton-rich Kr isotopes using the five-dimensional quadrupole collective Hamiltonian. The collective Hamiltonian is derived microscopically by means of the CHFB…

Nuclear Theory · Physics 2011-01-17 Koichi Sato , Nobuo Hinohara

The even-even superheavy nuclei with $104 \leqslant Z \leqslant 126$ and $N\leqslant 258$ have been investigated using a microscopic five-dimensional collective Hamiltonian (5DCH) based on constrained triaxial relativistic…

Nuclear Theory · Physics 2026-03-12 X. Q. Yang , R. Y. Hu , R. N. Mao , J. Xiang , Z. P. Li

This study employs the isospin-dependent Boltzmann-Uehling-Uhlenbeck model to simulate intermediate-energy heavy-ion collisions between prolate nuclei $^{24}$Mg. The emphasis is on investigating the influence of centrality and orientation…

Nuclear Theory · Physics 2023-09-12 Xiao-Hua Fan , Zu-Xing Yang , Peng-Hui Chen , Shunji Nishimura , Zhi-Pan Li

The effect of projectile shape on cross sections and momentum distributions of fragments from heavy ion reactions is studied. We propose a new approach that implements the underlying symmetries of each isotope with a few parameters directly…

Nuclear Theory · Physics 2007-05-23 S. E. Chernyshev , K. V. Shitikova

We investigate a description of shape-mixing and shape-transitions using collective coordinates. To that end we apply a theory of adiabatic large-amplitude motion to a simplified nuclear shell-model, where the approximate results can be…

Nuclear Theory · Physics 2008-11-26 Takashi Nakatsukasa , Niels R. Walet

The spherical-to-prolate shape transition in neutron-rich Cr isotopes from N = 34 to 42 is studied by solving the collective Schr\"odinger equation for the five-dimensional quadrupole collective Hamiltonian. The collective potential and…

Most atomic nuclei exhibit ellipsoidal shapes characterized by quadrupole deformation $\beta_2$ and triaxiality $\gamma$, and sometimes even a pear-like octupole deformation $\beta_3$. The STAR experiment introduced a new…

Nuclear Experiment · Physics 2025-10-24 STAR Collaboration

Shape and multiple shape coexistence of nuclei are investigated throughout the nuclear chart by calculating the low-lying spectra and the quadrupole shape invariants for even-even nuclei with $10\leq Z\leq 104$ from the proton drip line to…

Nuclear Theory · Physics 2023-02-16 Y. L. Yang , P. W. Zhao , Z. P. Li

Spectroscopic properties that characterize the shape phase transitions in krypton isotopes with the mass $A\approx80$ region are investigated within the framework of the nuclear density functional theory. Triaxial quadrupole constrained…

Nuclear Theory · Physics 2022-07-01 K. E. Karakatsanis , K. Nomura

Evolution and coexistence of shape and the related spectroscopic properties of even-even Te isotopes are investigated within the quadrupole collective model that is based on the nuclear density functional theory. By means of the constrained…

Nuclear Theory · Physics 2024-12-06 K. Suzuki , K. Nomura

We introduce a microscopic approach to derive all the inertial functions in the five-dimensional quadrupole collective Hamiltonian. Local normal modes are evaluated on the constrained mean field in the quasiparticle random-phase…

Nuclear Theory · Physics 2015-05-27 Nobuo Hinohara , Koichi Sato , Kenichi Yoshida , Takashi Nakatsukasa , Masayuki Matsuo

Spectral properties of nuclei near the critical point of the quantum phase transition between spherical and axially symmetric shapes are studied in a hybrid collective model which combines the $\gamma$-stable and $\gamma$-rigid collective…

Nuclear Theory · Physics 2017-07-20 R. Budaca , A. I. Budaca

Nuclear shape and orientation degrees of freedom are incorporated into the calculation of the double-folding nuclear potential within the relativistic mean-field (RMF) formalism. The quadrupole deformations ($\beta_2$), nuclear densities…

Nuclear Theory · Physics 2024-08-30 Shilpa Rana , M. Bhuyan , Raj Kumar , B. V. Carlson

We discuss recent theoretical developments in low-energy heavy-ion reactions. To this end, we put emphasis on a viewpoint of probing nuclear shapes with heavy-ion reactions. We first discuss a single-channel problem with an optical…

Nuclear Theory · Physics 2025-11-14 K. Hagino

In relativistic heavy-ion collisions, the extractions of properties of quark-gluon plasma (QGP) are hindered by a limited understanding of its initial conditions, where the nuclear structure of the colliding ions play a significant role. In…

Nuclear Experiment · Physics 2024-09-17 Chunjian Zhang

Shape-phase transition in neutron-rich Cr isotopes around N=40 is investigated by employing the collective Hamiltonian approach. The inertial functions for large-amplitude vibration and rotation are evaluated by the local normal modes along…

Nuclear Theory · Physics 2011-06-23 Kenichi Yoshida , Nobuo Hinohara

The quadrupole collective Hamiltonian, based on relativistic energy density functionals, is extended to include a pairing collective coordinate. In addition to quadrupole shape vibrations and rotations, the model describes pairing…

Nuclear Theory · Physics 2020-07-01 J. Xiang , Z. P. Li , T. Niksic , D. Vretenar , W. H. Long

Some atomic nuclei exhibit ``pear" shapes arising from octupole deformation ($\beta_3$), though direct experimental evidences for such exotic shapes remains scarce. Low-energy model studies suggest $^{238}$U may have a modest octupole…

Nuclear Theory · Physics 2025-05-15 Chunjian Zhang , Jiangyong Jia , Jinhui Chen , Chun Shen , Lumeng Liu
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