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Since its beginnings, fission theory has asumed that low-energy induced fission takes place through transition-state channels at the barrier tops. Neverthess, up to now there is no microscopic theory applicable to those conditions. We…

Nuclear Theory · Physics 2022-04-13 G. F. Bertsch , K. Hagino

Cluster radioactivity is the emission of a fragment heavier than $\alpha$ particle and lighter than mass 50. The range of clusters observed in experiments goes from $^{14}$C to $^{32}$Si while the heavy mass residue is always a nucleus in…

Nuclear Theory · Physics 2015-03-19 M. Warda , L. M. Robledo

The generator coordinate method (GCM) was introduced in nuclear physics by Wheeler and independently by Peierls and their collaborators in 1950's and it is still one of the mostly used approximations for treating nuclear large amplitude…

Nuclear Theory · Physics 2025-11-21 Aurel Bulgac

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

Low-energy positive and negative parity collective states in the equilibrium minimum, and the dynamics of induced fission of actinide nuclei are investigated in a unified theoretical framework based on the generator coordinate method (GCM)…

Nuclear Theory · Physics 2019-05-22 Jie Zhao , Jian Xiang , Zhi-Pan Li , Tamara Nikšić , Dario Vretenar , Shan-Gui Zhou

The generator coordinate method (GCM) casts the wavefunction as an integral over a weighted set of non-orthogonal single determinantal states. In principle this representation can be used like the configuration interaction (CI) or shell…

Nuclear Theory · Physics 2015-06-23 Jason L. Stuber

Exotic cluster decay of very heavy nuclei has been studied in the microscopic Super-Asymmetric Fission Model. Relativistic Mean Field model with the force FSU Gold has been employed to obtain the densities of the cluster and the daughter…

Nuclear Theory · Physics 2008-11-26 Madhubrata Bhattacharya , G. Gangopadhyay

Cluster radioactivity has been successfully described as a super-asymmetric fission mode within the microscopic self-consistent Gogny Hartree-Fock-Bogoliubov approximation [Phys. Rev. C 84, 044608 (2011)]. For nuclei preserving the…

Nuclear Theory · Physics 2026-03-26 M. Warda , A. Zdeb , R. Rodríguez-Guzmán

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

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

The CGMF code implements the Hauser-Feshbach statistical nuclear reaction model to follow the de-excitation of fission fragments by successive emissions of prompt neutrons and $\gamma$ rays. The Monte Carlo technique is used to facilitate…

Nuclear Theory · Physics 2021-08-09 P. Talou , I. Stetcu , P. Jaffke , M. E. Rising , A. E. Lovell , T. Kawano

Exotic cluster decay of very heavy nuclei is studied using the microscopic nuclear potentials obtained by folding density dependent M3Y effective interaction with the densities of the cluster and the daughter nuclei. The microscopic nuclear…

Nuclear Theory · Physics 2009-06-24 T. R. Routray , Jagajjaya Nayak , D. N. Basu

An approach to the Generator Coordinate Method (GCM) using Skyrme-type effective forces and Woods-Saxon construction potential is applied to calculate the single-particle proton and neutron overlap functions in $^{40}$Ca. The relationship…

Nuclear Theory · Physics 2009-11-06 M. V. Ivanov , M. K. Gaidarov , A. N. Antonov , C. Giusti

The cluster decays $^{228}$Th $\rightarrow \, ^{208}$Pb + $^{20}$O, $^{232}$U $\rightarrow \, ^{208}$Pb + $^{24}$Ne, $^{236}$Pu $\rightarrow \, ^{208}$Pb + $^{28}$Mg, $^{242}$Cm $\rightarrow \, ^{208}$Pb + $^{34}$Si are considered in the…

Nuclear Theory · Physics 2013-11-18 V. Yu. Denisov

${\bf Background:}$ 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

Starting from a quantum theory of dissipation for nuclear collective motion, the time-dependent generator coordinate method (TDGCM) is extended to allow for dissipation effects in the description of induced fission dynamics. The extension…

Nuclear Theory · Physics 2022-05-25 Jie Zhao , Tamara Nikšić , Dario Vretenar

In nuclear theory, the generator coordinate method (GCM), a type of configuration mixing method, is often used for the microscopic description of collective motions. However, the GCM has a problem that a structure of the collective…

Nuclear Theory · Physics 2022-06-07 N. Hizawa

The generalized time-dependent generator coordinate method (TD-GCM) is extended to include pairing correlations. The correlated GCM nuclear wave function is expressed in terms of time-dependent generator states and weight functions. The…

Nuclear Theory · Physics 2024-02-05 B. Li , D. Vretenar , T. Nikšić , J. Zhao , P. W. Zhao , J. Meng

We apply the generator coordinate method (GCM) to single-$\Lambda$ hypernuclei in order to discuss the spectra of hypernuclear low-lying states. To this end, we use the same relativistic point-coupling energy functional both for the…

Nuclear Theory · Physics 2016-01-20 H. Mei , K. Hagino , J. M. Yao

Fission of metastable charged univalent metal clusters has been studied on example of Na_{10}^{2+} and Na_{18}^{2+} clusters by means of density functional theory methods. Energetics of the process, i.e. dissociation energies and fission…

Atomic and Molecular Clusters · Physics 2009-11-11 O. I. Obolensky , A. G. Lyalin , A. V. Solov'yov , W. Greiner
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