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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

A model is developed to calculate the total kinetic energy (TKE) distribution of fission fragments in the framework of the time-dependent generator coordinate method (TDGCM), extended to include dissipation effects in the description of…

Nuclear Theory · Physics 2022-12-07 Jie Zhao , Nikšić , Dario Vretenar

An extension of time-dependent density functional theory (TDDFT), the generalized time-dependent generator coordinate method (TDGCM), is applied to a study of induced nuclear fission dynamics. In the generalized TDGCM, the correlated…

Nuclear Theory · Physics 2025-04-11 B. Li , D. Vretenar , T. Nikši\' c , P. W. Zhao , J. Meng

An implementation of the generalized time-dependent generator coordinated method (TD-GCM) is developed, that can be applied to the dynamics of small- and large-amplitude collective motion of atomic nuclei. Both the generator states and…

Nuclear Theory · Physics 2023-07-28 B. Li , D. Vretenar , T. Nikšić , P. W. Zhao , J. Meng

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

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 emergence of collective behaviors and the existence of large amplitude motions are both central features in the fields of nuclear structure and reactions. From a theoretical point of view, describing such phenomena requires increasing…

Nuclear Theory · Physics 2020-06-03 Marc Verriere , David Regnier

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

Collective mass tensors derived in the cranking approximation to the adiabatic time-dependent Hartree-Fock-Bogoliubov (ATDHFB) method are employed in a study of induced fission dynamics. Together with a collective potential determined in…

Nuclear Theory · Physics 2020-07-01 Jie Zhao , Tamara Nikšić , Dario Vretenar , Shan-Gui Zhou

The generator coordinate (GC) method is a variational approach to the quantum many-body problem in which interacting many-body wave functions are constructed as superpositions of (generally nonorthogonal) eigenstates of auxiliary…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 E. Orestes , K. Capelle , A. B. F. da Silva , C. A. Ullrich

The role of dynamical pairing in induced fission dynamics is investigated using the time-dependent generator coordinate method in the Gaussian overlap approximation, based on the microscopic framework of nuclear energy density functionals.…

Nuclear Theory · Physics 2021-10-27 Jie Zhao , Tamara Nikšić , Dario Vretenar

Predicting the properties of neutron-rich nuclei far from the valley of stability is one of the major challenges of modern nuclear theory. In heavy and superheavy nuclei, a difference of only a few neutrons is sufficient to change the…

Nuclear Theory · Physics 2019-02-20 D. Regnier , N. Dubray , N. Schunck

We apply the dynamical generator coordinate method (DGCM) with a conjugate momentum to a nuclear collective excitation. To this end, we first discuss how to construct a numerically workable scheme of the DGCM for a general one-body…

Nuclear Theory · Physics 2022-06-22 N. Hizawa , K. Hagino , K. Yoshida

The saddle-to-scission dynamics of the induced fission process is explored using a microscopic finite-temperature model based on time-dependent nuclear density functional theory (TDDFT), that allows to follow the evolution of local…

Nuclear Theory · Physics 2023-07-27 B. Li , D. Vretenar , Z. X. Ren , T. Nikšić , J. Zhao , P. W. Zhao , J. Meng

The time-dependent generator coordinate method with the gaussian overlap approximation (TDGCM+GOA) formalism is applied to describe the fission of $^{252}$Cf. We perform analysis of fission from the initial states laying in the energetic…

Nuclear Theory · Physics 2017-05-17 A. Zdeb , A. Dobrowolski , M. Warda

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

Nuclear fission at barrier-top energies is conventionally modeled by a one-dimensional Schr\"odinger equation applied to internal fission channels, but that treatment is hard to justify in the configuration-interaction approach to nuclear…

Nuclear Theory · Physics 2024-11-11 K. Hagino , G. F. Bertsch

Static and dynamic aspects of the fission process of $^{226}$Th are analyzed in a self-consistent framework based on relativistic energy density functionals. Constrained relativistic mean-field (RMF) calculations in the collective space of…

Nuclear Theory · Physics 2017-08-30 H. Tao , J. Zhao , Z. P. Li , T. Niksic , D. Vretenar

It has been known that the time-dependent Hartree-Fock (TDHF) method, or the time-dependent density functional theory (TDDFT), fails to describe many-body quantum tunneling. We overcome this problem by superposing a few time-dependent…

Nuclear Theory · Physics 2020-06-15 N. Hasegawa , K. Hagino , Y. Tanimura

A microscopic finite-temperature model based on time-dependent nuclear density functional theory (TDDFT), is employed to study the induced-fission process of $^{226}$Th. The saddle-to-scission dynamics of this process is explored, starting…

Nuclear Theory · Physics 2024-09-11 B. Li , D. Vretenar , T. Nikšić , P. W. Zhao , J. Meng
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