DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Thermalization of nuclear matter in heavy-ion collisions at Fermi energies

Journal Article · · Nuclear Physics. A
 [1];  [2];  [3]
  1. Texas A & M University, College Station, TX (United States); OSTI
  2. Texas A & M University, College Station, TX (United States); Istituto Nazionale di Fisica Nucleare (INFN), Catania (Italy). Laboratori Nazionali del Sud (INFN-LNS)
  3. Texas A & M University, College Station, TX (United States)

We analyze the time evolution of the kinetic properties of nuclear matter produced in heavy-ion collisions at Fermi energies. The collision system is simulated using Constrained Molecular Dynamics (CoMD) transport calculations whose output is the isospin, position, and momentum of the nucleons. Focusing on central 35 A·MeV 40Ca+40Ca collisions we utilize this information to extract localized momentum distributions in volume elements of 8 fm3 and time steps of 5 fm/$$c$$. We then parameterize the single-particle momentum distributions with thermally motivated fit functions in the local rest frame of each cell. While the transverse-momentum distributions are well reproduced by thermal ones, the longitudinal ones carry a marked imprint of the initial nuclear motion which we capture by introducing a centroid motion into our fit functions. In particular, we find that Fermi distributions yield significantly better fits than Boltzmann ones, a consequence of the Pauli blocking implemented in CoMD. From the fits we extract the time dependence of the thermodynamic and collective properties of the excited nuclear medium. We find that the transverse temperature gradually rises to about 6 MeV, which is accompanied by a dissipation of the initial centroid motion of the incoming nuclei which vanishes at about 100 fm/c after initial impact. In conclusion, we are therefore able to track the transition of beam energy into random kinetic energy for nucleons, suggesting a three-dimensional equilibration of energy in the late stages of the collision.

Research Organization:
Texas A & M University, College Station, TX (United States)
Sponsoring Organization:
USDOE Office of Science (SC); USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
FG03-93ER40773; NA0003841
OSTI ID:
1977517
Journal Information:
Nuclear Physics. A, Journal Name: Nuclear Physics. A Journal Issue: C Vol. 1022; ISSN 0375-9474
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English

References (18)

Neutron-rich nuclei studied with AMD journal September 1994
A guide to microscopic models for intermediate energy heavy ion collisions journal March 1988
The Boltzmann equation at the borderline. A decade of Monte Carlo simulations of a quantum kinetic equation journal July 1994
QMD versus BUU/VUU. Same results from different theories journal June 1989
Fermionic molecular dynamics journal August 1990
Microscopic study of thermal properties of the nuclear matter formed in heavy-ion collisions journal June 1992
Thermal dileptons as fireball thermometer and chronometer journal February 2016
Dimuon radiation at relativistic energies available at the CERN Super Proton Synchrotron within a (3 + 1)D hydrodynamic + cascade model journal July 2011
Thermodynamic properties and shear viscosity over entropy-density ratio of the nuclear fireball in a quantum-molecular dynamics model journal August 2013
Density determinations in heavy ion collisions journal August 2013
Coulomb corrections to experimental temperatures and densities in Fermi-energy heavy-ion collisions journal August 2014
Coarse-graining approach for dilepton production at energies available at the CERN Super Proton Synchrotron journal May 2015
Event-by-event fluctuations in heavy ion collisions and the QCD critical point journal November 1999
Evidence for a Blast Wave from Compressed Nuclear Matter journal April 1979
Density and temperature in heavy-ion collisions: A test of classical and quantum approaches journal November 2014
Thermal dileptons from coarse-grained transport as fireball probes at SIS energies journal May 2016
Fluctuations as probe of the QCD phase transition and freeze-out in heavy ion collisions at LHC and RHIC journal July 2011
Collective Flow and Viscosity in Relativistic Heavy-Ion Collisions journal October 2013