2011
DOI: 10.1103/physrevc.83.064615
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Nucleon exchange mechanism in heavy-ion collisions at near-barrier energies

Abstract: Nucleon drift and diffusion mechanisms in central collisions of asymmetric heavy-ions at nearbarrier energies are investigated in the framework of a stochastic mean-field approach. Expressions for diffusion and drift coefficients for nucleon transfer deduced from the stochastic mean-field approach in the semiclassical approximation have similar forms familiar from the phenomenological nucleon exchange model. The variance of fragment mass distribution agrees with the empirical formula σ 2 AA (t) = N exc (t). Th… Show more

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Cited by 45 publications
(57 citation statements)
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References 30 publications
(48 reference statements)
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“…[13], in small amplitude limit, that this approach gives rise to the same expression for dispersions of one-body observables as the one obtained in the variational description of Balian and Vénéroni (BV) [14,15]. In other applications, the average version of SMF theory was recently employed [16][17][18] to successfully reconcile onset of dissipation in TDHF and to calculate transport coefficients for relative momentum and nucleon-exchange in deep-inelastic heavy-ion collisions [19].…”
mentioning
confidence: 97%
“…[13], in small amplitude limit, that this approach gives rise to the same expression for dispersions of one-body observables as the one obtained in the variational description of Balian and Vénéroni (BV) [14,15]. In other applications, the average version of SMF theory was recently employed [16][17][18] to successfully reconcile onset of dissipation in TDHF and to calculate transport coefficients for relative momentum and nucleon-exchange in deep-inelastic heavy-ion collisions [19].…”
mentioning
confidence: 97%
“…These distribution have zero mean values δv λ p (t) = 0, δv λ n (t) = 0 and their variances in Markovian approximation are determined by [14][15][16][17] …”
Section: Diffusion Mechanismmentioning
confidence: 99%
“…We take x-axis as the collision direction and the position x 0 (t) of the window plane is determined from the TDHF calculations. As described in [14][15][16][17], the local density is projected on the reaction plane and the window is located at the lowest density plane on the neck at each time step. According to the SMF approach, the proton and neutron numbers of the projectile-like fragment follows a stochastic evolution according to the following Langevin equations,…”
Section: Diffusion Mechanismmentioning
confidence: 99%
“…Furthermore, the CoMD model, at variance with mean-field models, naturally takes into account nucleon-nucleon correlations that are of vital importance for the description of observables involving fluctuations, as for example the nucleon transport in peripheral collisions as in the present work. (We remind that in meanfield transport models, effects beyond the mean field are simulated via nucleon-nucleon collisions, as well as fluctuations of the mean field [51,53].) For these reasons, the CoMD predictions are especially valuable for the interpretation of the results of the present study.…”
Section: Description Of the Theoretical Modelsmentioning
confidence: 99%
“…More sophisticated microscopic approaches have also been adopted including semiclassical mean-field transport models of Boltzmann-type such as BUU (BoltzmannUehling-Ulenbeck) [9,31,48,49], BNV (BoltzmannNordheim-Vlasov) [11,50], SMF (Stochastic Mean Field) [11,51] and the fully quantal TDHF (time-dependent Hartree-Fock) approach [52][53][54]. Furthermore, N-body approaches of Quantum Molecular Dynamics (QMD) type [55] have been applied such as the Constrained Molecular Dynamics (CoMD) model [56,57] employed in this work.…”
Section: Introductionmentioning
confidence: 99%