Isospin dependent thermodynamics of fragmentation

Abstract

The thermal and phase properties of a multifragmentation model which uses clusters as degrees of freedom, are explored as a function of isospin. A good qualitative agreement is found with the phase diagram of asymmetric nuclear matter as established by different mean-field models. In particular, from the convexity properties of the nuclear entropy, we show that uncharged finite nuclei display first and second order liquid-gas-like phase transitions. Different quantities are examined to connect the thermal properties of the system to cluster observables. In particular we show that fractionation is only a loose indication of phase coexistence. A simple analytical formula is proposed and tested to evaluate the symmetry (free) energy from the widths of isotopic distributions. Assuming that one may restore the isotopic composition of break-up fragments, it is found that some selected isotopic observables can allow to quantitatively access the freeze-out symmetry energy in multifragmentation experiments.

23 pages, 7 figures

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Cited by in corpus (19)

• Recent Progress and New Challenges in Isospin Physics with Heavy-Ion Reactions
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• Experimental effects on dynamics and thermodynamics in nuclear reactions on the symmetry energy as seen by the CHIMERA 4$\pi$ detector
• Probing the symmetry energy from the nuclear isoscaling
• Persistence of odd-even staggering in charged fragment yields from the 112Sn+58Ni collision at 35 MeV/nucleon
• N and Z odd-even staggering in Kr + Sn collisions at Fermi energies
• Finite size effects in isobaric ratios
• Symmetry energy from nuclear multifragmentation
• Density dependence of symmetry free energy of hot nuclei
• Temperature effects in the nuclear isoscaling
• Isoscaling, Symmetry Energy and Thermodynamic Models
• Energy measurement and fragment identification using digital signals from partially depleted Si detectors
• The Statistical Multifragmentation Model with Skyrme Effective Interactions
• Isospin effects and the density dependence of the nuclear symmetry energy
• Coulomb corrections to density and temperature in heavy ion collisions
• Experimental study of the ${}^{40,48}$Ca+ ${}^{40,48}$Ca reactions at 35 MeV/nucleon
• RMF models with $\sigma$-scaled hadron masses and couplings for description of heavy-ion collisions below 2A GeV
• Methods for a quantitative evaluation of odd-even staggering effects
• Symmetry energy from fragment observables in the canonical thermodynamic model