Linear Responses in Time-dependent Hartree-Fock-Bogoliubov Method with Gogny Interaction

Abstract

A numerical method to integrate the time-dependent Hartree-Fock Bogoliubov (TDHFB) equations with Gogny interaction is proposed. The feasibility of the TDHFB code is illustrated by the conservation of the energy, particle numbers, and center-of-mass in the small amplitude vibrations of oxygen 20. The TDHFB code is applied to the isoscalar quadrupole and/or isovector dipole vibrations in the linear (small amplitude) region in oxygen isotopes (masses A = 18,20,22 and 24), titanium isotopes (A = 44,50,52 and 54), neon isotope (A = 26), and magnesium isotopes (A = 24 and 34). The isoscalar quadrupole and isovector dipole strength functions are calculated from the expectation values of the isoscalar quadrupole and isovector dipole moments.

10 pages, 13 figures

References in corpus (8)

• 3-D unrestricted TDHF fusion calculations using the full Skyrme interaction
• Role of deformation on giant resonances within the QRPA approach and the Gogny force
• Pairing Vibrations Study with the Time-Dependent Hartree-Fock-Bogoliubov theory
• A new inverse quasifission mechanism to produce neutron-rich transfermium nuclei
• Linear response of light deformed nuclei investigated by self-consistent quasiparticle random-phase-approximation
• Decay Pattern of Pygmy States Observed in Neutron-Rich 26 Ne
• Pairing renormalization and regularization within the local density approximation
• Low-frequency $K^{\pi }=0^{+}$ modes in deformed neutron-rich nuclei: Pairing- and $\beta$-vibrational modes of neutron

Cited by in corpus (32)

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• Microscopic approach to coupled-channels effects on fusion
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• Feasibility of the finite amplitude method in covariant density functional theory
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• Gauge angle dependence in TDHFB calculations of ${}^{20}$O + ${}^{20}$O head-on collisions with the Gogny interaction
• Microscopic analysis of fusion hindrance in heavy systems
• Transfer probabilities for the reactions ${}^{14,20}$O+${}^{20}$O in terms of multiple time-dependent Hartree-Fock-Bogoliubov trajectories
• Structure and decay of the pygmy dipole resonance in 26Ne
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• Challenges in description of heavy-ion collisions with microscopic time-dependent approaches
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• Nuclear Quantum Many-Body Dynamics: From Collective Vibrations to Heavy-Ion Collisions (2nd edition)
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