Self-consistent collective coordinate for reaction path and inertial mass

Wen, Kai; Nakatsukasa, Takashi

doi:10.1103/physrevc.94.054618

Cited by 19 publications

(28 citation statements)

References 58 publications

(116 reference statements)

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“…[25,26,[35][36][37][38][39][40][41][42][43][44][45][46][47][48][49][50][51] for applications of the FAM). We start from the HFB code using the two-basis method of the 3D Cartesian coordinate representation.…”

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confidence: 99%

Multipole modes of excitation in triaxially deformed superfluid nuclei

Washiyama

Nakatsukasa

2017

Phys. Rev. C

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Background:The five-dimensional quadrupole collective model based on energy density functionals (EDFs) has often been employed to treat long-range correlations associated with shape fluctuations in nuclei. Our goal is to derive the collective inertial functions in the collective Hamiltonian by the local quasiparticle random-phase approximation (QRPA) that correctly takes into account time-odd mean-field effects. Currently, a practical framework to perform the QRPA calculation with the modern EDFs on the (β,γ ) deformation space is not available. Purpose: Toward this goal, we develop an efficient numerical method to perform the QRPA calculation on the (β,γ ) deformation space based on the Skyrme EDF. Methods: We use the finite amplitude method (FAM) for the efficient calculation of QRPA strength functions for multipole external fields. We construct a computational code of FAM-QRPA in the three-dimensional Cartesian coordinate space to handle triaxially deformed superfluid nuclei. Introduction. The shape of atomic nuclei is influenced strongly by the quantum nature of nuclear systems. Excitation spectra and their transition probabilities clearly indicate the existence of shape fluctuations and shape coexistence [1], particularly in transitional regions from spherical to deformed shapes in the ground state. The long-lived fission products (LLFP) from uranium fueled reactors, such as Pd and Zr isotopes, are located in transitional regions on the nuclear chart and demonstrate the shape mixing and coexistence. It is important to understand the basic properties of the LLFPs to develop a possible nuclear transmutation method, which is the main target of an ImPACT program "Reduction and Resource Recycling of High-level Radioactive Wastes through Nuclear Transmutation" [2].One of the standard methods of investigating nuclear manybody problems is the nuclear energy density functional (EDF) theory [3]. The nuclear EDF well describes the ground-state properties of atomic nuclei. However, on the mean-field level, it cannot describe shape fluctuations and shape coexistence. We need to go beyond the mean field for a description of such phenomena, including quantum fluctuations associated with the large-amplitude collective motion. If the EDF were constructed as an expectation value of a well-defined Hamiltonian, a possible extension would be the generator coordinate method (GCM) [4][5][6]. However, most of the EDFs are known to have a singular behavior [7,8], which prevents us from the straightforward application of the GCM.

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confidence: 99%

Multipole modes of excitation in triaxially deformed superfluid nuclei

Washiyama

Nakatsukasa

2017

Phys. Rev. C

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“…Thus the reduced mass obtained from our method shows a dynamical property and a relative distance dependence. Recently, the property of the inertial mass for the collective path of nucleus-nucleus collisions has been extensively discussed by the adiabatic self-consistent coordinate method [14,15]. In that study, the inertial mass is close to its reduced mass at large R, then increases as R Figure 3.…”

Section: Collective Massmentioning

confidence: 99%

Fusion hindrance in heavy systems with time-dependent Hartree-Fock

Washiyama

2017

EPJ Web Conf.

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Abstract. We analyze fusion hindrance in heavy systems, where the fusion probability around the Coulomb barrier is hindered compared with that in light and medium-mass systems. We perform simulations of central collisions around the Coulomb barrier in heavy systems with time-dependent Hartree-Fock (TDHF) and find that the fusion hindrance is realized in TDHF simulations. We extract nucleus-nucleus potential and energy dissipation in heavy systems by a method combining a microscopic TDHF evolution to a macroscopic collective equation of motion. We find that the extracted potentials exhibit a dynamical increase at small relative distances, while the extracted friction coefficients show rather a behavior similar to that in light and medium-mass systems. We find from our analysis that the dynamical increase in potential is a main contribution to this fusion hindrance.

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“…The moving mean-field equation (6) is solved by using the imaginary-time method. In practical calculations, we adopt the coordinate-space representation for the mean-field states and the mixed representation for the RPA matrix [21].…”

Section: Theoretical Frameworkmentioning

confidence: 99%

“…The numerical methods proposed in Ref. [21] are applied to nuclear fusion reactions of 16 O + α → 20 Ne and 16 O + 16 O → 32 S. They demonstrate unique features of the collective dynamics, showing that the optimal collective path can be different from the constrained Hartree-Fock (CHF) states with constraints on the mass quadrupole and octupole moments.…”

Section: Introductionmentioning

confidence: 99%

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Adiabatic self-consistent collective path in nuclear fusion reactions

Wen

Nakatsukasa

2017

Phys. Rev. C

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Collective reaction paths for fusion reactions 16 O + α → 20 Ne and 16 O + 16 O → 32 S are microscopically determined on the basis of the adiabatic self-consistent collective coordinate (ASCC) method. The collective path is maximally decoupled from other intrinsic degrees of freedom. The reaction paths turn out to deviate from those obtained with standard mean-field calculations with constraints on quadrupole and octupole moments. The potentials and inertial masses defined in the ASCC method are calculated along the reaction paths, which leads to the collective Hamiltonian used for calculation of the subbarrier fusion cross sections. The inertial mass inside the Coulomb barrier may have a significant influence on the fusion cross section at the deep subbarrier energy.

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Self-consistent collective coordinate for reaction path and inertial mass

Cited by 19 publications

References 58 publications

Multipole modes of excitation in triaxially deformed superfluid nuclei

Multipole modes of excitation in triaxially deformed superfluid nuclei

Fusion hindrance in heavy systems with time-dependent Hartree-Fock

Adiabatic self-consistent collective path in nuclear fusion reactions

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