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The generator coordinate method (GCM) has been a well-known method to describe nuclear collective motions. In this method, one specifies {\it a priori} the relevant collective degrees of freedom as input of the method, based on empirical…

Nuclear Theory · Physics 2023-11-10 Moemi Matsumoto , Yusuke Tanimura , Kouichi Hagino

Strong octupole correlations have been observed in the low-lying states of atomic nuclei across various mass regions. In this review, we provide an overview of Beyond Mean-Field (BMF) studies of nuclear octupole collective motions with…

Nuclear Theory · Physics 2023-11-28 E. F. Zhou , J. M. Yao

In this work, we aim to achieve a minimal extension of the quantum-number projected generator coordinate method (PGCM) to describe Gamow-Teller (GT) transition strengths in even-even nuclei and to compute the NME of $2\nu\beta\beta$ decay.…

Nuclear Theory · Physics 2026-04-06 R. N. Chen , X. Lian , J. M. Yao , C. L. Bai

The dynamics of induced fission of $^{226}$Th is investigated in a theoretical framework based on the finite-temperature time-dependent generator coordinate method (TDGCM) in the Gaussian overlap approximation (GOA). The thermodynamical…

Nuclear Theory · Physics 2019-01-29 Jie Zhao , Tamara Nikšić , Dario Vretenar , Shan-Gui Zhou

We study the feasibility of applying the Generator Coordinate Method (GCM) of self-consistent mean-field theory to calculate decay widths of composite particles to composite-particle final states. The main question is how well the GCM can…

Nuclear Theory · Physics 2019-03-27 G. F. Bertsch , W. Younes

The generator coordinate method (GCM) is an important tool of choice for modeling large-amplitude collective motion in atomic nuclei. The computational complexity of the GCM increases rapidly with the number of collective coordinates. It…

Nuclear Theory · Physics 2023-02-10 X. Zhang , W. Lin , J. M. Yao , C. F. Jiao , A. M. Romero , T. R. Rodríguez , H. Hergert

${\bf Background:}$ Weakly bound and unbound nuclear states appearing around particle thresholds are prototypical open quantum systems. Theories of such states must take into account configuration mixing effects in the presence of strong…

Nuclear Theory · Physics 2017-10-11 S. M. Wang , N. Michel , W. Nazarewicz , F. R. Xu

An outstanding problem in the theory of nuclear fission is to understand the Hamiltonian dynamics at the scission point. In this work the fissioning nucleus is modeled in self-consistent mean-field theory as a set of Generator Coordinate…

Nuclear Theory · Physics 2019-08-14 G. F. Bertsch , W. Younes , L. M. Robledo

We discuss an extension of the generator coordinate method (GCM) by taking simultaneously a collective coordinate and its conjugate momentum as generator coordinates. To this end, we follow the idea of the dynamical GCM (DGCM) proposed by…

Nuclear Theory · Physics 2021-03-24 N. Hizawa , K. Hagino , K. Yoshida

We investigate the accuracy of several schemes to calculate ground-state correlation energies using the generator coordinate technique. Our test-bed for the study is the $sd$ interacting boson model, equivalent to a 6-level Lipkin-type…

Nuclear Theory · Physics 2013-05-29 K. Hagino , G. F. Bertsch , P. -G. Reinhard

For 75 years the theory of nuclear fission has been based on the existence of a collective coordinate associated with the nuclear shape, an assumption required by the Bohr-Wheeler formula as well as by the R-matrix theory of fission. We…

Nuclear Theory · Physics 2014-12-19 G. F. Bertsch

A known limitation of time-dependent mean-field approaches is a lack of quantum tunneling for collective motions such as in sub-barrier fusion reactions. As a first step toward a solution, a time-dependent model is considered using a…

Nuclear Theory · Physics 2022-02-01 Akira Ono

We investigate properties of the Generator Coordinate Method (GCM) on a collective basis of Antisymmetrized Quasi-Cluster (AQC) states to describe the cluster-shell competition in $^{20}$Ne and $^{24}$Mg due to the spin-orbit interaction.…

Nuclear Theory · Physics 2011-01-28 N. Itagaki , J. Cseh , M. Płoszajczak

A theoretical scheme is presented for generating Gazeau-Klauder coherent states(GKCSs) via the generalization of degenerate Raman interaction with coupling constant to intensity-dependent coupling. Firstly, we prove that in the…

Quantum Physics · Physics 2011-12-26 F. Yadollahi , M. K. Tavassoly

Inspired by the work of McGlynn and Simenel [Phys. Rev. C {\bf 102}, 064614 (2020)], this study investigates the quantum tunneling of two interacting distinguishable particles in two potential wells. We first benchmark the system by…

Nuclear Theory · Physics 2026-04-03 Wenmin Deng , Guangping Chen , Ganlong Ding , Sibo Wang , Jing Peng , Haozhao Liang

Grant-free (GF) transmission holds promise in terms of low latency communication by directly transmitting messages without waiting for any permissions. However, collision situations may frequently happen when limited spectrum is occupied by…

Information Theory · Computer Science 2020-06-25 Chao Zhang , Yuanwei Liu , Zhijin Qin , Zhiguo Ding

We use molecular dynamics simulations to investigate dynamic heterogeneities and the potential energy landscape of the Gaussian core model (GCM). Despite the nearly Gaussian statistics of particles' displacements, the GCM exhibits giant…

Statistical Mechanics · Physics 2016-04-13 Daniele Coslovich , Atsushi Ikeda , Kunimasa Miyazaki

The recently developed structure model that uses the generator coordinate method to perform configuration mixing of angular-momentum projected wave functions, generated by constrained self-consistent relativistic mean-field calculations for…

Nuclear Theory · Physics 2011-02-18 J. M. Yao , H. Mei , H. Chen , J. Meng , P. Ring , D. Vretenar

We propose a configuration-interaction (CI) representation to calculate induced nuclear fission with explicit inclusion of nucleon-nucleon interactions in the Hamiltonian. The framework is designed for easy modeling of schematic…

Nuclear Theory · Physics 2021-02-16 G. F. Bertsch , K. Hagino

The dynamics of low-energy induced fission is explored using a consistent microscopic framework that combines the time-dependent generator coordinate method (TDGCM) and time-dependent nuclear density functional theory (TDDFT). While the…

Nuclear Theory · Physics 2022-04-27 Z. X. Ren , J. Zhao , D. Vretenar , T. Niksic , P. W. Zhao , J. Meng