Thermodynamic Concept of Neutron Separation Energy

TL;DR

This paper introduces a thermodynamic framework for calculating neutron separation energy using tropical mathematics and nonstandard analysis, providing a novel general expression based on de Broglie wavelength and nuclear volume.

Contribution

It presents a new thermodynamic approach to neutron separation energy, diverging from traditional Einstein-based methods, and derives a general formula involving nuclear parameters.

Findings

Derived a new general expression for neutron separation energy.

Applied tropical mathematics and nonstandard analysis to nuclear physics.

Provided insights into the energy required for neutron disintegration.

Abstract

In the paper, we propose a new approach to the mathematical description of the separation of a neutron from the atom's nucleus on the basis of the formalisms of tropical mathematics and nonstandard analysis. In studying the behavior of individual nucleons of the atom's nucleus, instead of the ordinary approach involving the Einstein formula relating mass and energy, we use the thermodynamical approach to the disintegration of the nucleus. This approach allows to obtain a previously unknown general expression for the energy needed to separate a neutron from its atom's nucleus, provided we know the de Broglie wavelength and the volume of the nucleus.