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Collective reaction paths for fusion reactions, $^{16}$O+$\alpha$ $\rightarrow$ $^{20}$Ne and $^{16}$O+$^{16}$O $\rightarrow$ $^{32}$S, are microscopically determined, on the basis of the adiabatic self-consistent collective coordinate…

Nuclear Theory · Physics 2017-07-26 Kai Wen , Takashi Nakatsukasa

The adiabatic self-consistent collective coordinate (ASCC) method is used to determine the optimum reaction path and to calculate the potential and the inertial functions of the reaction model. The properties of the inertial functions are…

Nuclear Theory · Physics 2024-05-09 Chisato Ruike , Kai Wen , Nobuo Hinohara , Takashi Nakatsukasa

Towards the microscopic theoretical description for large amplitude collective dynamics, we calculate the coefficients of inertial masses for low-energy nuclear reactions. Under the scheme of energy density functional, we apply the…

Nuclear Theory · Physics 2022-01-06 Kai Wen , Takashi Nakatsukasa

Collective inertial mass coefficients with respect to translational, relative, and rotational motions are microscopically calculated, along the collective reaction path self-consistently determined, based on the adiabatic self-consistent…

Nuclear Theory · Physics 2022-03-14 Kai Wen , Takashi Nakatsukasa

The adiabatic self-consistent collective coordinate (ASCC) method is a practical microscopic theory of large-amplitude collective motions in nuclei with superfluidity. We show that its basic equations are invariant against transformations…

Nuclear Theory · Physics 2011-02-02 Nobuo Hinohara , Takashi Nakatsukasa , Masayuki Matsuo , Kenichi Matsuyanagi

An adiabatic approximation to the selfconsistent collective coordinate method is formulated in order to describe large amplitude collective motions in superconducting nuclei on the basis of the time-dependent Hartree-Fock-Bogoliubov…

Nuclear Theory · Physics 2009-11-06 M. Matsuo , T. Nakatsukasa , K. Matsuyanagi

The adiabatic self-consistent collective coordinate (ASCC) method is a practical method for the description of large-amplitude collective motion in atomic nuclei with superfluidity and an advanced version of the adiabatic time-dependent…

Nuclear Theory · Physics 2016-01-08 Koichi Sato

Using a theory of large amplitude collective motion, the adiabatic self-consistent collective coordinate method, we derive reaction path for the fusion process at sub-barrier energies. The collective Hamiltonian to describe the fusion…

Nuclear Theory · Physics 2019-01-30 Kai Wen , Takashi Nakatsukasa

We propose a new set of equations to determine the collective Hamiltonian including the second-order collective-coordinate operator on the basis of the adiabatic self-consistent collective-coordinate (ASCC) theory. We illustrate, with the…

Nuclear Theory · Physics 2018-08-27 Koichi Sato

The adiabatic self-consistent collective coordinate (ASCC) method is applied to the pairing-plus-quadrupole (P + Q) model Hamiltonian including the quadrupole pairing, and the oblate-prolate shape coexistence phenomena in proton-rich…

Nuclear Theory · Physics 2007-09-26 Nobuo Hinohara , Takashi Nakatsukasa , Masayuki Matsuo , Kenichi Matsuyanagi

Microscopic dynamics of the oblate-prolate shape coexistence/mixing phenomena in 68Se and 72Kr are studied by means of the adiabatic self-consistent collective coordinate (ASCC) method in conjunction with the pairing-plus-quadrupole (P+Q)…

Nuclear Theory · Physics 2008-11-26 Nobuo Hinohara , Takashi Nakatsukasa , Masayuki Matsuo , Kenichi Matsuyanagi

We present recent results in theoretical studies on nuclear structure and reaction beyond mean field, using the adiabatic self-consistent collective coordinate method and its extension. We also present new results with the…

Nuclear Theory · Physics 2020-08-26 Takashi Nakatsukasa , Yu Kashiwaba , Fang Ni , Kouhei Washiyama , Kai Wen , Nobuo Hinohara

The adiabatic selfconsistent collective coordinate method is applied to an exactly solvable multi-O(4) model which simulates nuclear shape coexistence phenomena. Collective mass and dynamics of large amplitude collective motions in this…

Nuclear Theory · Physics 2009-11-10 M. Kobayasi , T. Nakatsukasa , M. Matsuo , K. Matsuyanagi

We apply the adiabatic self-consistent collective coordinate (ASCC) method to the multi-O(4) model and study collective mass (inertia function) of the many-body tunneling motion. Comparing results with those of the exact diagonalization, we…

Nuclear Theory · Physics 2011-02-02 Nobuo Hinohara , Takashi Nakatsukasa , Masayuki Matsuo , Kenichi Matsuyanagi

The oblate-prolate shape coexisting/mixing phenomena in proton-rich 68,70,72Se are investigated by means of the adiabatic self-consistent collective coordinate (ASCC) method. The one-dimensional collective path and the collective…

Nuclear Theory · Physics 2009-07-13 Nobuo Hinohara , Takashi Nakatsukasa , Masayuki Matsuo , Kenichi Matsuyanagi

An iterative adiabatic time-dependent Hartree-Fock-Bogoliubov (ATDHFB) method is developed within the framework of Skyrme density functional theory. The ATDHFB equation is solved iteratively to avoid explicitly calculating the stability…

Adiabatic fusion potentials, extended well into compound nucleus region, are calculated for a number of reactions within the static Hartree-Fock method with the Skyrme SkM* interaction. The calculated fusion barriers agree quite well with…

Nuclear Theory · Physics 2007-05-23 J. Skalski

Starting from the adiabatic time-dependent Hartree-Fock approximation (ATDHF), we propose an efficient method to calculate the Thouless-Valatin moments of inertia for the nuclear system. The method is based on the rapid convergence of the…

Nuclear Theory · Physics 2012-09-28 Z. P. Li , T. Niksic , P. Ring , D. Vretenar , J. M. Yao , J. Meng

We present a very brief description of the Hartree-Fock method in nuclear structure physics, discuss the numerical methods used to solve the self-consistent equations, and analyze the precision and convergence properties of solutions. As an…

Nuclear Theory · Physics 2007-05-23 J. Dobaczewski

Three variants of mean field methods for atomic and nuclear reactions are compared with respect to both conception and applicability: The time--dependent Hartree--Fock method solves the equation of motion for a Hermitian density operator as…

Nuclear Theory · Physics 2009-10-31 J. Uhlig , J. C. Lemm , A. Weiguny
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