Time-Dependent Response Calculations of Nuclear Resonances

Abstract

A new alternate method for evaluating linear response theory is formally developed, and results are presented. This method involves the time-evolution of the system using TDHF and is constructed directly on top of a static Hartree-Fock calculation. By Fourier transforming the time-dependent result the response function and the total probability amplitude are extracted. This method allows for a coherent description of static properties of nuclei, such as binding energies and deformations, while also providing a method for calculating collective modes and reaction rates. A full 3-D Cartesian Basis-Spline collocation representation is used with several Skyrme interactions. Sample results are presented for the giant multipole resonances of 16O, 40Ca, and 32S and compared to other calculations.

8 pages, 7 figures, submitted to Phys. Rev. C

References in corpus (3)

• Quantum Calculation of Dipole Excitation in Fusion Reaction
• Non-Linear Vibrations in Nuclei
• Quadrupole resonances in unstable oxygen isotopes in time-dependent density-matrix formalism

Cited by in corpus (50)

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• Future of Nuclear Fission Theory
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• Stochastic quantum dynamics beyond mean-field
• Dissipative dynamics in quasi-fission
• Microscopic study of ${}^{16}$O+${}^{16}$O fusion
• Microscopic approach to coupled-channels effects on fusion
• Shape evolution and collective dynamics of quasifission in TDHF
• The Role of Tensor Force in Heavy-Ion Fusion Dynamics
• Quantal diffusion approach for multinucleon transfer processes in the ${}^{58,64}$Ni+${}^{208}$Pb reactions: Toward the production of unknown neutron-rich nuclei
• Collective aspects deduced from time-dependent microscopic mean-field with pairing: application to the fission process
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• Dissipation dynamics and spin-orbit force in time-dependent Hartree-Fock theory
• Time-dependent HF approach to SHE dynamics
• Isotopic trends of quasifission and fusion-fission in the reactions ${}^{48}$Ca+${}^{239,244}$Pu
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• Time Dependent Pairing Equations for Seniority One Nuclear Systems
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• Production mechanism of neutron-rich nuclei around $N=126$ in multi-nucleon transfer reaction ${}^{132}$Sn + ${}^{208}$Pb
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• Nucleon exchange in heavy-ion collisions within stochastic mean-field approach
• Continuum time-dependent Hartree-Fock for giant resonances in spherical nuclei
• Microscopic study of ${}^{40}$Ca+${}^{58,64}$Ni fusion reactions
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• Challenges in description of heavy-ion collisions with microscopic time-dependent approaches
• Equilibration in the time-dependent Hartree-Fock approach probed with the Wigner distribution function
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• Quantum microscopic approach to low-energy heavy ion collisions
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• Time-dependent Hartree-Fock Study of Octupole Vibrations in doubly magic nuclei
• Continuum damping effects in nuclear collisions associated with twisted boundary conditions
• The Quest for Superheavy Nuclei: A Theoretical Perspective
• Resonances and Reactions from Mean-Field Dynamics