Microscopic analysis of deeply inelastic heavy-ion collisions

doi:10.1016/0375-9474(91)90519-C

Nuclear Physics A

Volume 535, Issue 1, 9 December 1991, Pages 120-136

https://doi.org/10.1016/0375-9474(91)90519-C Get rights and content

Abstract

Deeply inelastic heavy-ion collisions from 14 to 25 MeV/u are investigated within a microscopic transport approach of the VUU type where the time-dependent mean field and the in-medium cross section are based on the same parametrization of the G-matrix. The transfer of energy and angular momentum from the relative motion to the internal degrees of freedom is studied in detail as a function of impact parameter and found to be dominated by nucleon exchange. The fluctuation in mass, furthermore, can also be ascribed to the random nucleon transfer mechanism. We calculate double-differential spectra with respect to total kinetic energy loss (TKEL) and mass as well as with respect to TKEL and scattering angle. Furthermore, the exclusive production of hard photons in Mo + Mo reactions at 19.5 MeV/u is found to be well described by incoherent proton-neutron bremsstrahlung as evaluated from the same parametrization of the G-matrix.

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1994, Physics Reports
There are at least two seemingly contradictory approaches to heavy ion collisions at intermediate energy: the nuclear gas and the nuclear liquid pictures. The idea of the nuclear gas, i.e., the Boltzmann transport equation (BEQ) with two body collisions, gives the space-time evolution of the one body distribution function in the case of a dilute fluid. The idea of the nuclear liquid, i.e., fluid dynamics, describes the dynamics in the case of a dense fluid. The conditions of validity of the BEQ and of fluid dynamics are neither satisfied for colliding nuclei at around 100 MeV/nucleon. The solution of a modified Boltzmann transport equation (MBEQ) with both two and three body collisions, the density dependent mean field, and the Pauli principle allows a more appropriate description. The basic theoretical ideas (as laid down by Wong in the previous decade) and computational ideas (as developed by many groups over the past decade) are described. The computer simulation is done using a very stable and robust Monte Carlo numerical method, which compares well with simple analytical models under restricted conditions, and aids in the understanding of the more complicated dynamics of nucleus-nucleus collisions. Inclusive cross sections, subthreshold particle production, above threshold particle production, and collective flow variables are well described by the model. Fluctuations are calculated in the small amplitude limit. Large fluctuations are discussed, as well as their relevance to fragmentation.
From fission to scattering in the 100Mo (18.7 MeV/u) + 100Mo reaction within a microscopic dynamic approach
1994, Nuclear Physics, Section A
A study of the transition from fission to deep-inelastic and quasi-elastic reactions in heavy ion collisions at intermediate energies is performed in the framework of a microscopic semi-classical one-body approach (Landau-Vlasov transport equation). A qualitative as well as quantitative study of phenomena occurring in this energy range is carried out and comparisons are made with experimental results focusing on the Mo + Mo reaction at 18.7 MeV/u. On the ground of dynamical information given by the microscopic approach, an investigation of the sequential production of fragments is realized within a complementary analysis based on the macroscopic liquid-drop model approach.
A nonperturbative transport approach including particle collisions and density fluctuations
1993, Nuclear Physics, Section A
The dynamical description of correlated nuclear motion is based on coupled equations of motion for the one-body density matrix ρ(11'; t) and the two-body correlation function c₂(12, 1'2'; t) as obtained from the density-matrix hierarchy. The resulting equations nonperturbatively describe particle-particle collisions as well as particle-hole interactions. We propose an approximate solution of the equation of motion for the two-body correlation function c₂ which nonperturbatively accounts for the renormalization of the bare interaction, for in-medium nucleon-nucleon scattering as well as for the coupling to density fluctuations or collective phonons. By performing a Wigner transformation and conventional semiclassical limits we obtain a transport equation of the Vlasov-Uehling-Uhlenbeck type (VUU) coupled to a respective transport equation for the density fluctuations. We present explicit solutions for the ground-state density fluctuations of ⁴⁰Ca in phase space and compare them with the corresponding fluctuations in case of collective monopole excitations.
Analysis of the sequential fission observed in collisions of100Mo +100Mo and120Sn +120Sn around 20 A·MeV
1995, Zeitschrift für Physik A Hadrons and Nuclei
Improved microscopic calculation of initial exciton number
1993, Physical Review C

^☆: Work supported by BMFT and GSI Darmstadt.

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Nuclear Physics A

Abstract

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Cited by (5)

The Boltzmann equation at the borderline. A decade of Monte Carlo simulations of a quantum kinetic equation

From fission to scattering in the <sup>100</sup>Mo (18.7 MeV/u) + <sup>100</sup>Mo reaction within a microscopic dynamic approach

A nonperturbative transport approach including particle collisions and density fluctuations

Analysis of the sequential fission observed in collisions of<sup>100</sup>Mo +<sup>100</sup>Mo and<sup>120</sup>Sn +<sup>120</sup>Sn around 20 A·MeV

Improved microscopic calculation of initial exciton number

Microscopic analysis of deeply inelastic heavy-ion collisions☆

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