The lattice gas model with isospin-dependent interactions

Abstract

In this paper we continue the investigation of the lattice gas model. The main improvement is that we use two strengths for bonds: one between like particles and another between unlike particle to implement the isospin-dependence of nuclear force. The main effect is the elimination of unphysical clusters, like the dineutron or diproton. It is therefore a better description of nuclear system. Equation of state in mean field theory is obtained for nuclear matter as well as for $N\ne Z$ systems. Through numerical and analytical calculation we show that the new model maintains all the important features of the older model. We study the effect of the Coulomb interaction on multifragmentation of a compound system of A=86, Z=40 and also for A=197, Z=79. For the first case the Coulomb interaction has small effect. For the latter case the effect is much more pronounced but typical signatures of the lattice gas model such as a minimum (maximum) in the value of $\tau$ ($S_2$) are still obtained but at a much lower temperature.

References in corpus (1)

• First Order Phase Transition in Intermediate Energy Heavy Ion Collisions

Cited by in corpus (27)

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• Isospin influences on particle emission and critical phenomenon in nuclear dissociation
• Evidence of Critical Behavior in the Disassembly of Nuclei with A ~ 36
• Isoscaling in the Lattice Gas Model
• Probing Mechanical and Chemical Instabilities in Neutron-Rich Matter
• Influence of a momentum dependent interaction on the isospin dependence of fragmentation and dissipation in intermediate energy heavy ion collisions
• Probing the Isospin Dependent In-Medium Nucleon-Nucleon Cross Section by Nucleon Emissions
• Model of multifragmentation, Equation of State and phase transition
• Cluster emission and phase transition behaviours in nuclear disassembly
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• Moment Analysis and Zipf Law
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• Lattice gas models derived from effective field theory
• Flow effects on multifragmentation in the canonical model
• Rare isotope production in statistical multifragmentation
• Medium influence of the nucleon nucleon cross section on the fragmentation
• Isospin Dependence of Mechanical and Chemical Instabilities in Neutron-Rich Matter
• Comment on "Negative heat capacities and first order phase transitions in nuclei" by L.G. Moretto et al
• Statistical nature of cluster emission in nuclear liquid-vapour phase coexistence
• Influence of the Coulomb Interaction on the Chemical Equilibrium of Nuclear Systems at Break-Up