Thermodynamic Concept of Neutron Separation Energy

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.