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From microscopic to macroscopic dynamics in mean-field theory: effect of neutron skin on fusion barrier and dissipation

2002/02/20 by Denis Lacroix, Lacroix, Denis
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Nuclear Theory (nucl-th) #Nuclear physics research studies #Quantum, superfluid, helium dynamics #nucl-th

paper · pdf · doi:10.48550/arxiv.nucl-th/0202063

9 ps pages including 9 figures

arxiv created 2002/02/20 · openalex publication_date 2002/02/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this work, we introduce a new method to reduce the microscopic mean-field theory to a classical macroscopic dynamics during the initial stage of fusion reactions. We show that TDHF (Time-dependent Hartree-Fock) could be a useful tool to gain information on fusion barriers as well as on one-body dissipation effects. We apply the mean-field theory to the case of head-on reaction between 16O and 16,22,24,28O in order to quantify the effect of neutron skin on fusion. We show that the determination of fusion barrier requires, in addition to a precise knowledge of the relative distance between the center of mass of the two fusing nuclei, the introduction of an additional collective coordinate that explicitly breaks the neutron-proton symmetry. In this context, we estimate the position, height and diffuseness of the barrier as well as the one-body friction and show that a global enhancement of the fusion cross-section is expected in neutron rich nuclei.

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