Abstract

The finite size of nuclei and the Coulomb interaction make it di ffi cult to de- scribe systems interacting through the strong force into thermodynamic terms. Our task is to extract the phase diagram of the theoretical infinite symmetrical uncharged nuclear mat- ter from experiments of nuclear collisions where the systems are neither infinite, symmet- rical, nor uncharged. Decay yields from such experiments are translated into coexistence densities and pressures by use of Fisher's droplet model. This method is tested on model systems such as the Ising model and a system of particles interacting via the Lennard- Jones potential. The specific problems inherent to nuclear reactions are considered. These include finite size e ffects, Coulomb repulsion, and the lack of a physical vapor in contact with a decaying system. Experimental data of compound nucleus experiments are studied within this framework, which is also shown to extend to higher energy reactions. Finally, the phase diagram of nuclear matter is extracted.

Highlights

  • The forces holding a nucleus together are repulsive at short distances with a diffuse attractive potential well at larger distances

  • Our task is to extract the phase diagram of the theoretical infinite symmetrical uncharged nuclear matter from experiments of nuclear collisions where the systems are neither infinite, symmetrical, nor uncharged. Decay yields from such experiments are translated into coexistence densities and pressures by use of Fisher’s droplet model. This method is tested on model systems such as the Ising model and a system of particles interacting via the LennardJones potential

  • EPJ Web of Conferences model and Fisher’s droplet model [3,4], we study the clusters found in the Ising model and a system interacting through a Lennard-Jones potential

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Summary

Introduction

The forces holding a nucleus together are repulsive at short distances with a diffuse attractive potential well at larger distances. The experimental data that is accessible for nuclear systems comes from nuclear reactions These reactions can range from lower energy that are characterized in terms of compound nuclear decays to higher energy where it is more appropriate to talk in terms of multifragmentation. The fact that the liquid evaporates into a vacuum and not into its coexisting vapor Armed with these considerations, we turn our attention to the data from experiments and see that the expected trends are observed. We turn our attention to the data from experiments and see that the expected trends are observed From this data, we can achieve our goal of constructing the phase diagram of nuclear matter

Physical cluster model
Fisher’s droplet model
Clusters in model systems
The Ising model
The Lennard-Jones model
Fisher scaling in model systems
Nature of the cluster yields from nuclear reactions
Finite size corrections
Finite size correction in model systems
Coulomb repulsion
Emission into a vacuum
Experimental fragment scaling
The nuclear phase diagrams
Conclusion
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