Self-consistent collective coordinate for reaction path and inertial mass

Abstract

We propose a numerical method to determine the optimal collective reaction path for the nucleus-nucleus collision, based on the adiabatic self-consistent collective coordinate (ASCC) method. We use an iterative method combining the imaginary-time evolution and the finite amplitude method, for the solution of the ASCC coupled equations. It is applied to the simplest case, the $\alpha -\alpha$ scattering. We determine the collective path, the potential, and the inertial mass. The results are compared with other methods, such as the constrained Hartree-Fock method, the Inglis's cranking formula, and the adiabatic time-dependent Hartree-Fock (ATDHF) method.

arXiv comment14 pages, 13 figures

References in corpus (31)

• Structure of even-even nuclei using a mapped collective Hamiltonian and the D1S Gogny interaction
• Nuclear Quantum Many-Body Dynamics: From Collective Vibrations to Heavy-Ion Collisions
• Time-dependent density-functional description of nuclear dynamics
• The TDHF Code Sky3D
• Beyond the relativistic mean-field approximation (III): collective Hamiltonian in five dimensions
• Finite amplitude method for the RPA solution
• Microscopic Analysis of Nuclear Quantum Phase Transitions in the N=90 region
• Selfconsistent calculations of fission barriers in the Fm region
• Quadrupole collective states within the Bohr collective Hamiltonian
• Finite amplitude method for the quasi-particle-random-phase approximation
• Title: Quadrupole collective inertia in nuclear fission: cranking approximation
• Spontaneous fission lifetimes from the minimization of self-consistent collective action
• Energy Density Functional analysis of shape evolution in N=28 isotones
• Microscopic description of large-amplitude shape-mixing dynamics with inertial functions derived in local quasiparticle random-phase approximation
• Multipole strength function of deformed superfluid nuclei made easy
• Low energy collective modes of deformed superfluid nuclei within the finite amplitude method
• Adiabatic Selfconsistent Collective Coordinate Method for Large Amplitude Collective Motion in Superconducting Nuclei
• Implementation of the finite amplitude method for the relativistic quasiparticle random-phase approximation
• Feasibility of the finite amplitude method in covariant density functional theory
• Microscopic description of oblate-prolate shape mixing in proton-rich Se isotopes
• Shape fluctuations in the ground and excited 0+ states of 30Mg and 32Mg
• Multipole modes in deformed nuclei within the finite amplitude method
• Shape mixing dynamics in the low-lying states of proton-rich Kr isotopes
• Density functional approaches to collective phenomena in nuclei: Time-dependent density-functional theory for perturbative and non-perturbative nuclear dynamics
• Shape transition and fluctuation in neutron-rich Cr isotopes around N = 40
• Gauge-Invariant Formulation of Adiabatic Self-Consistent Collective Coordinate Method
• Efficient calculation for the quasiparticle random-phase approximation matrix
• Shape changes and large-amplitude collective dynamics in neutron-rich Cr isotopes
• Microscopic Derivation of Collective Hamiltonian by Means of the Adiabatic Self-Consistent Collective Coordinate Method
• Emergent Soft Monopole Modes in Weakly-Bound Deformed Nuclei
• Microscopic derivation of the quadrupole collective Hamiltonian for shape coexistence/mixing dynamics

Cited by in corpus (11)

• Heavy-ions collisions and fission dynamics with the time-dependent Hartree-Fock theory and its extensions
• Finite-amplitude method for collective inertia in spontaneous fission
• Multipole modes of excitation in triaxially deformed superfluid nuclei
• Adiabatic self-consistent collective path in nuclear fusion reactions
• Microscopic collective inertial masses for nuclear reaction in the presence of nucleonic effective mass
• Five-dimensional collective Hamiltonian with improved inertial functions
• Low-lying collective excited states in non-integrable pairing models based on stationary-phase approximation to path integral
• Collective model for cluster motion in ${}^8$Be, ${}^{12}$C, and ${}^{16}$O systems
• Nuclear reaction path and requantization of TDDFT
• Collective inertial masses in nuclear reactions
• Nuclear structure and reaction with quantum shape fluctuation