A novel determination of density, temperature and symmetry energy for nuclear multi-fragmentation through primary fragment yield reconstruction

Abstract

For the first time primary hot isotope distributions are experimentally reconstructed in intermediate heavy ion collisions and used with antisymmetrized molecular dynamics (AMD) calculations to determine density, temperature and symmetry energy coefficient in a self-consistent manner. A kinematical focusing method is employed to reconstruct the primary hot fragment yield distributions for multifragmentation events observed in the reaction system ${}^{64}$Zn + ${}^{112}$Sn at 40 MeV/nucleon. The reconstructed yield distributions are in good agreement with the primary isotope distributions of AMD simulations. The experimentally extracted values of the symmetry energy coefficient relative to the temperature, $a_{sym}/T$, are compared with those of the AMD simulations with different density dependence of the symmetry energy term. The calculated $a_{sym}/T$ values changes according to the different interactions. By comparison of the experimental values of $a_{sym}/T$ with those of calculations, the density of the source at fragment formation was determined to be $\rho /{\rho }_0=(0.63\pm 0.03)$. Using this density, the symmetry energy coefficient and the temperature are determined in a self-consistent manner as $a_{sym}=(24.7\pm 1.9)MeV$ and $T=(4.9\pm 0.2)$ MeV

References in corpus (4)

• Nuclear multifragmentation and phase transition for hot nuclei
• Isobaric Yield Ratios and The Symmetry Energy In Fermi Energy Heavy Ion Reactions
• The Quantum Nature of a Nuclear Phase Transition
• The Isospin Dependence Of The Nuclear Equation Of State Near The Critical Point

Cited by in corpus (11)

• Shannon Information Entropy in Heavy-ion Collisions
• Neutron skin thickness of heavy nuclei with $\alpha$-particle correlations and the slope of the nuclear symmetry energy
• Primary Isotope Yields and Characteristic Properties of the Fragmenting Source in Heavy-ion Reactions near the Fermi Energies
• Experimental reconstruction of primary hot isotopes and characteristic properties of the fragmenting source in the heavy ion reactions near the Fermi energy
• Reconstructed primary fragments and symmetry energy, temperature and density of the fragmenting source in ${}^{64}$Zn + ${}^{112}$Sn at 40 MeV/nucleon
• Sensitivity study of experimental measures for the nuclear liquid-gas phase transition in the statistical multifragmentation model
• Improved Thermometer from Intermediate Mass Fragments in Heavy-Ion Collisions with Isobaric Yield Ratio Difference
• Effect of Wigner energy on the symmetry energy coefficient in nuclei
• Statistical analysis of experimental multifragmentation events in ${}^{64}$Zn + ${}^{112}$Sn at 40 MeV/nucleon
• Post breakup dynamics of fragments produced in nuclear multifragmentation
• Isotopic dependence of the fragments' internal temperatures observed in multifragment emission