Relativistic Mean-Field Effective Nucleon–Nucleon Forces in the Dynamic Modeling of Heavy Ion Fusion

2021 ◽  
Vol 85 (5) ◽  
pp. 490-495
Author(s):  
M. V. Chushnyakova ◽  
I. I. Gontchar ◽  
N. A. Khmyrova ◽  
A. A. Klimochkina
Keyword(s):  
Dynamic Modeling ◽  
Mean Field ◽  
Heavy Ion ◽  
Nucleon Nucleon ◽  
Relativistic Mean Field ◽  
Heavy Ion Fusion

MEAN-FIELD DESCRIPTION OF HEAVY-ION COLLISIONS

2004 ◽  
Vol 13 (01) ◽  
pp. 309-313 ◽  
Author(s):  
A. DOBROWOLSKI ◽  
K. POMORSKI ◽  
J. BARTEL
Keyword(s):  
Cross Sections ◽  
Sampling Method ◽  
Mean Field ◽  
Surface Friction ◽  
Monte Carlo Sampling ◽  
Heavy Ion ◽  
Nucleon Nucleon ◽  
Friction Model ◽  
Ion Collisions ◽  
Heavy Ion Fusion

Using the collective potential between colliding ions based on the effective nucleon-nucleon interactions of the Skyrme type and the semi-classical Extended Thomas-Fermi approach we describe heavy-ion fusion cross sections applying a Monte-Carlo sampling method of trajectories with the Langevin formalism using friction as described in the so-called Surface-Friction Model.

Covariant Equation of State for Two Colliding Nuclear Matters in the Relativistic Meson Field Theory

1997 ◽  
Vol 06 (01) ◽  
pp. 151-159 ◽  
Author(s):  
M. Rashdan
Keyword(s):  
Field Theory ◽  
Equation Of State ◽  
Nonlinear Models ◽  
Mean Field Theory ◽  
Mean Field ◽  
Heavy Ion ◽  
Ion Scattering ◽  
Relativistic Mean Field ◽  
Heavy Ion Scattering ◽  
Covariant Equation

The relativistic mean field theory (linear and nonlinear) models are extended to the case of two colliding nuclear matters, relevant to heavy ion scattering and reactions. The effect of vacuum corrections is taken into account through the relativistic Hartree approximation. The Fermi sea is assumed to consist of two colliding Lorentz elongated spheres. A relativistic covariant Pauli correction is considered for the overlap case. This relativistic Pauli correction is found to be very important due to its dependence on the effective nucleon mass which strongly depends on the model equation of state. It is found that by increasing the velocity the energy per baryon increases and saturates at higher densities. The increase in the energy per baryon at low density (the region of no overlap) is much larger than that at high density (the region of large overlap), due to Pauli correction effects. The saturation density of the nonlinear model is shifted to larger values than that of the linear model. Vacuum corrections effects are found to reduce largely te overlap region.

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