Abstract
This article proposes the potential energy function of nucleon in nucleus, derives the expression equation of nuclear force, shows that nucleus has the shell structure by the solving the Schr?dinger equation of nucleon, obtains the magic numbers, and interprets the past experimental results in theory; for example the radius of nucleus is proportional to the cubic root of nucleon number, the nuclear force is repulsive in the depths of nucleus and attractive in the surface layer, and the variation of average binding energy of nucleons with the nucleon number.
Highlights
IntroductionThe study on nuclear force and nuclear structure is the center subject of nuclear physics
Published: October 17, 2016 interprets the past experimental results in theory; for example the radius of nucleus is proportional to the cubic root of nucleon number, the nuclear force is repulsive in the depths of nucleus and attractive in the surface layer, and the variation of average binding energy of nucleons with the nucleon number
The study on nuclear force and nuclear structure is the center subject of nuclear physics
Summary
The study on nuclear force and nuclear structure is the center subject of nuclear physics. The liquid drop model, the shell model and other models of nucleus had been put forward on the basis of experiments long ago [1] [2], the models have been not united in theory due to the absence of the potential energy function of nucleon in nucleus . In the following we will propose the potential energy function of nucleon in nucleus, derive the expression equation of nuclear force, show that nucleus has the shell structure by the solving the Schrödinger equation of nucleon, obtain the magic numbers, and interpret the past experimental results in theory; for example the radius of nucleus is proportional to the cubic root of nucleon number, the nuclear force is repulsive in the depths of nucleus and attractive in the surface layer, the variation of average binding energy of nucleons with the nucleon number
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