Isospin effect in the statistical sequential decay

Abstract

Isospin effect of the statistical emission fragments from the equilibrated source is investigated in the frame of statistical binary decay implemented into GEMINI code, isoscaling behavior is observed and the dependences of isoscaling parameters $\alpha$ and $\beta$ on emission fragment size, source size, source isospin asymmetry and excitation energies are studied. Results show that $\alpha$ and $\beta$ neither depends on light fragment size nor on source size. A good linear dependence of $\alpha$ and $\beta$ on the inverse of temperature $T$ is manifested and the relationship of $\alpha =4C_{sym}[(Z_s/A_s{)}_1^2-(Z_s/A_s{)}_2^2]/T$ and $\beta =4C_{sym}[(N_s/A_s{)}_1^2-(N_s/A_s{)}_2^2]/T$ from different isospin asymmetry sources are satisfied. The symmetry energy coefficient $C_{sym}$ extracted from simulation results is $\sim$ 23 MeV which includes both the volume and surface term contributions, of which the surface effect seems to play a significant role in the symmetry energy.

8 pages, 8 figures; A new substantially modified version which has been accepted by the Physical Review C

References in corpus (23)

• Reaction Dynamics with Exotic Beams
• Isospin Physics in Heavy-Ion Collisions at Intermediate Energies
• Phase Transitions in Warm, Asymmetric Nuclear Matter
• Isospin Fractionation in Nuclear Multifragmentation
• Isotopic Scaling in Nuclear Reactions
• Isospin fractionation and isoscaling in dynamical nuclear collisions
• Isoscaling in Light-Ion Induced Reactions and its Statistical Interpretation
• Experimental determination of the symmetry energy of a low density nuclear gas
• Isotopic Scaling and the Symmetry Energy in Spectator Fragmentation
• Isoscaling of projectile-like fragments
• Symmetry energy and the isospin dependent equation of state
• Isotopic Scaling of Heavy Projectile Residues from the collisions of 25 MeV/nucleon 86Kr with 124Sn, 112Sn and 64Ni, 58Ni
• Symmetry energy and the isoscaling properties of the fragments produced in ${}^{40}$Ar, ${}^{40}$Ca + ${}^{58}$Fe, ${}^{58}$Ni reactions at 25 $-$ 53 MeV/nucleon
• Conditions for Isoscaling in Nuclear Reactions
• Isospin influences on particle emission and critical phenomenon in nuclear dissociation
• Evolution of the symmetry energy of hot neutron-rich matter formed in heavy-ion reactions
• Isoscaling in the Lattice Gas Model
• Isoscaling Studies of Fission - a Sensitive Probe into the Dynamics of Scission
• Isoscaling behavior in the Fission Dynamics
• Isoscaling behavior in the Isospin dependent Quantum Molecular Dynamics model
• Microcanonical studies on isoscaling
• Isoscaling of the Fission Fragments with Langevin Equation
• Dynamical aspects of isotopic scaling

Cited by in corpus (8)

• Probing the density dependence of symmetry energy via multifragmentation at sub-saturation densities
• Influence of statistical sequential decay on isoscaling and symmetry energy coefficient in a GEMINI simulation
• Sensitivity of neutron to proton ratio toward the high density behavior of symmetry energy in heavy-ion collisions
• Effect of neutron skin thickness on projectile fragmentation
• Isoscaling behavior in ${}^{48,40}$Ca+${}^9$Be collisions at intermediate energy investigated by HIPSE model
• Density dependence of the "symmetry energy" in the lattice gas model
• Isoscaling in statistical fragment emission in an extended compound nucleus model
• Density and Temperature in Heavy Ion Collisions: A Test of Classical and Quantum Approaches