Kinetic-energy dissipation and fluctuations in strongly damped heavy-ion collisions within the stochastic mean-field approach

Ayik, Sakir; Sekizawa, Kazuyuki

doi:10.1103/physrevc.102.064619

Kinetic-energy dissipation and fluctuations in strongly damped heavy-ion collisions within the stochastic mean-field approach

Journal Article · Tue Dec 22 00:00:00 EST 2020 · Physical Review. C

DOI:https://doi.org/10.1103/physrevc.102.064619· OSTI ID:1774135

^[1]; ^[2]

Tennessee Technological University, Cookeville, TN (United States); TENNESSEE TECHNOLOGICAL UNIVERSITY
Niigata Univ. (Japan); University of Tsukuba (Japan)

Microscopic mean-field approaches have been successful in describing the most probable reaction outcomes in low-energy heavy-ion reactions. However, those approaches are known to severely underestimate dispersions of observables around the average values that has limited their applicability. Recently it has been shown that a quantal transport approach based on the stochastic mean-field (SMF) theory significantly improves the description, while its application has been limited so far to fragment mass and charge dispersions. In this work, we extend the quantal transport approach based on the SMF theory for relative kinetic energy dissipation and angular momentum transfer in low-energy heavy-ion reactions. Based on the SMF concept, analytical expressions are derived for the radial and tangential friction and associated diffusion coefficients. Those quantal transport coefficients are calculated microscopically in terms of single-particle orbitals within the time-dependent Hartree-Fock (TDHF) approach. As the first application of the proposed formalism, we consider the radial linear momentum dispersion, neglecting the coupling between radial and angular momenta. We analyze the total kinetic energy (TKE) distribution of binary reaction products in the ¹³⁶Xe +²⁰⁸Pb reaction at E_c.m. =526 MeV and compare with experimental data. From time evolution of single-particle orbitals in TDHF, the radial diffusion coefficient is computed on a microscopic basis, while a phenomenological treatment is introduced for the radial friction coefficient. By solving the quantal diffusion equation for the radial linear momentum, the dispersion of the radial linear momentum is obtained, from which one can construct the TKE distribution. We find that the calculations provide a good description of the TKE distribution for strongly damped events with large energy losses, TKEL ≳ 150 MeV. However, the calculations underestimate the TKE distribution for smaller energy losses. Further studies are needed to improve the technical details of calculations.

View Accepted Manuscript (DOE)

Research Organization:: Tennessee Technological University, Cookeville, TN (United States)

Sponsoring Organization:: Japan Society for the Promotion of Science (JSPS); USDOE Office of Science (SC), Engineering & Technology

Grant/Contract Number:: SC0015513

Other Award/Contract Number:: 19K14704

OSTI ID:: 1774135

Journal Information:: Physical Review. C, Journal Name: Physical Review. C Journal Issue: 6 Vol. 102; ISSN 2469-9985

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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