Symmetry energy from nuclear multifragmentation

Abstract

The ratio of symmetry energy coefficient to temperature $C_{sym}/T$ is extracted from different prescriptions using the isotopic as well as the isobaric yield distributions obtained in different projectile fragmentation reactions. It is found that the values extracted from our theoretical calculation agree with those extracted from the experimental data but they differ very much from the input value of the symmetry energy used. The best possible way to deduce the value of the symmetry energy coefficient is to use the fragment yield at the breakup stage of the reaction and it is better to use the grand canonical model for the fragmentation analysis. This is because the formulas that are used for the deduction of the symmetry energy coefficient are all derived in the framework of the grand canonical ensemble which is valid only at the break-up (equilibrium) condition. The yield of "cold" fragments either from the theoretical models or from experiments when used for extraction of the symmetry energy coefficient using these prescriptions might lead to the wrong conclusion.

6 pages, 4 figures

References in corpus (16)

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Cited by in corpus (10)

• Neutron-skin effects in isobaric yield ratio for mirror nuclei in statistical abrasion-ablation model
• Neutron Density Distributions of Neutron-Rich Nuclei Studied with the Isobaric Yield Ratio Difference
• Chemical Property of Colliding Sources in 124,136Xe and 112,124Sn Induced Collisions in Isobaric Ratio Difference and Isoscaling Methods
• Heavy-ion Collisions: Direct and indirect probes of the density and temperature dependence of Esym
• Effect of particle fluctuation on isoscaling and isobaric yield ratio of nuclear multifragmentation
• Residue Coulomb interaction among isobars and its influence in symmetry energy of neutron-rich fragment
• Isospin dependent hybrid model for studying isoscaling in heavy ion collisions around the Fermi energy domain
• Symmetry energy effects on isovector properties of neutron rich nuclei with a Thomas-Fermi approach
• Statistical approach of nuclear multifragmentation with realistic nuclear equation of state
• Intermediate Mass Fragment Emission in ${}^{32}$S +${}^{51}$V, ${}^{109}$Ag, and ${}^{238}$U Collisions at E~=~31.6~MeV~A