Abstract
In this article we present a classical potential that respects the Pauli exclusion principle and can be used to describe nucleon-nucleon interactions at intermediate energies. The potential depends on the relative momentum of the colliding nucleons and reduces interactions at low momentum transfer mimicking the Pauli exclusion principle. We use the potential with Metropolis Monte Carlo methods and study the formation of finite nuclei and infinite systems. We find good agreement in terms of the binding energies, radii, and internal nucleon distribution of finite nuclei, and the binding energy in nuclear matter and neutron star matter, as well as the formation of nuclear pastas, and the symmetry energy of neutron star matter.
Highlights
In 1953, Bethe stated [1] that the Nucleon-Nucleon (NN) interaction was the problem most studied in the history of the world, and almost 70 years later the statement is still true
In this article we presented a nucleon-nucleon potential whose strength depends on the relative momenta of the colliding nucleons and, has the ability to reduce interactions at low momentum transfer mimicking the Pauli exclusion principle
Comparing to previous attempts at introducing Pauli blocking to a classical potential, we improved on the best attempt by constructing a potential that respects an excluded volume in phase space, respects the uncertainty relation, and inhibits the production of di-neutrons
Summary
In 1953, Bethe stated [1] that the Nucleon-Nucleon (NN) interaction was the problem most studied in the history of the world, and almost 70 years later the statement is still true. The goal of describing the atomic-nuclei properties in terms of the interactions between pairs of nucleons is the main objective of nuclear physics, because of the complexity of the quantum mechanical problem, no complete theory has been developed, and progress has been based on approximations It has been a trade-off; while most researchers have decided to study nuclear systems using mean field methodologies that only respect quantum mechanics approximately, a few others have overlooked some quantum aspects to use classical dynamics that preserves nucleon-nucleon correlations, statistical fluctuations, clusterization phenomena, phase changes, and critical phenomena; all features of the upmost importance in the later stages of fragmentation reactions, and that are not present in the quantum models. This type of classical models contain the entire many-body matrix, all statistical fluctuations and clusterization phenomena, they lack important quantum effects
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