Abstract
Calculation results of the Monte Carlo method of the average energy of the electrostatic interaction between the quarks are presented to the neutron and proton. The proposed model of the distribution of quarks in protons and neutrons is possible to assess the area which included a strong (gluon) interaction. Given the fact that the probability of finding a quark in the field with strong interaction is less than one, there is a good agreement between the experimental and calculated values of the mass difference between the neutron and the proton.
Highlights
In literature, the proton-neutron mass difference is explained by electrostatic interactions
Calculation results of the Monte Carlo method of the average energy of the electrostatic interaction between the quarks are presented to the neutron and proton
The proton-neutron mass difference is explained by electrostatic interactions
Summary
The proton-neutron mass difference is explained by electrostatic interactions. A monograph [3] considers two ways of calculating the neutron-proton mass difference. We suggest a model, which employs a more conservative mathematical tool, which helps one to calculate the mass difference for neutron and proton, and to estimate nucleon distances at which strong (gluon) interactions are revealed. It is explained, why mass differences for other baryons cannot be calculated in the frameworks of the suggested model. As far as the authors know in recent decades, the Monte Carlo method has not been used to calculate the difference between the mass of the neutron and the proton
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