The strong interaction field

Here we must add a paragraph of explanation：《 1. In the process of linear vibration of a particle，  is shown as the state function of linear vibration of a particle. The state function of particle is corresponds to the density or probability density of the light quantum.  and  all are both corresponds to density of the light quantum of particle.  we may be substitute  for.

Because their phase and frequency are same, to use instead of as a copy, we may define ：. The state function of particle in free state may be express as：. Here four- dimensional vibrational momentum

are ,,, . Thes can also expressed as ,,,， .

2. According to electrodynamics, the definition of vector potential  is as follow: . But now the definition of has been , please see the article《Symmetric equations of the light quantum systems》. Now we may define  as vector potential，this is consistent with the definition of.

，. The four- dimensional electromagnetic field potential just are the four- dimensional vibrational

momentum of the light quantum, this is.   We have the above definitions  already， .

These are above some relations about particles in electromagnetic field. They can generalize to the spin field of particles as well.》.

1. The interaction of spin particles with strong interaction field.

The interaction of a spin particle on the external strong field just is the interaction of spinor field of the particle on the external strong spinor field ( meson field ).

There is a four –dimensional vibrational spinor field in a stationary coordinate system .

This field just is meson spin field. The meson field potential is

,.

According to foregoing chapters, the four –dimensional meson field potential just is the four –dimensional spin vibrational angular momentum of the light quantum of the meson field, .

The center of an outfield particle is located at the origin of the coordinate system. In a small volume element around a point  in space, the spin vibration frequency, or vibration energy of a particle is:

, apply Taylor expansion，

, 

，is the symmetric part of the spin vibrational energy of the particle.

is the broken part of the spin vibrational energy of the particle. Please see the paper 《Explore " spin " deep going》

Refer to the article:《Charged particles in electromagnetic fields interact with electromagnetic fields》，the symmetrical part of spin vibration of a particle is equiprobable vectors, their mean of interaction is equal to 0, which isn’t interacted with the external meson spin field. Only the broken part of spin vibration of the particle is participate in the interaction.  In the small volume, the energy of the light quantum of the particle due to spin forced vibration by the external meson spin field potential, it is the broken part of spin vibrating energy of the particle.

In the small volumethe momentum and energy that cause the forced spin vibration of the light quantum of particle should be proportional to the

momentum and energy of the four-dimension spin meson field potential. And according to the above discussion of electromagnetic field, the four-dimensional electromagnetic field potential has . By extension, the four-dimensional spin-meson field potential also has ,

 In the small volume the four-dimensional momentum that forces the light quantum of the spin particle to vibrate is：

.

.

The four-dimensional momentum that forces the whole particle to vibrate

is： .

Here it is integral in spherical coordinate.

is the third component of the spin angular momentum of the particle .        should be in the third component of the spin quantum number.

.  Let the spin state function of the particle in the free state is: ，The particle  is forced to spin

vibrate in the field, so that its four-dimensional spin vector potential is ：，And its state function is:

。

Where  is the state function of the free particle, and is the state function of the particle  in the spin field (namely the meson field )

Make: ,

And make  ,

Then the state function of particle  in the spin field (namely the meson field) is: .

If the spin field equation for a free particle is ，then the spin field equation of particle  in the field is：

The resulting ：

.

The above has been：

 .

Define:，

，This is the field equation for the strong interaction field.

The so-called strong interaction is the interaction between spinor fields, it’s the interaction of moment of force with moment of force. It is different from the interaction between electromagnetic fields and charged particles, which is the interaction between the linear forces. 

2. The interaction between the spin moment of forces of two particles：

The interaction between the spin moment of forces of two particles is strong interaction namely. Take ，as two spin particles. The center of

particle is the origin of coordinate system . The center of particle is located at in the coordinate system.  

A small volumeis around particle. For the light quantum of the particle , the forced vibration are generated by the presence of the spin field of particle, then the spin vibrating energy of the light quantum of the particle

inhas increased. The increased spin vibrating energy is.  

According to foregoing chapters， should be direct with ,  is the broken part of spin vibrating energy of particlein .

.

The increased spin vibrating energy of the particle  is in,   should be direct ratio with,  is the spin vibration energy of spin field of .

According to the foregoing , is the distance between the center of two particles.

These is a meaning in this：For , the spin angular velocity of every light quantum mass points coincides with the

 spin angular velocity of the whole particle. ，。

Make ，，then

.

is the strong interaction moment of force between two spin particles. As mentioned above, under normal circumstances. When two spin

 particles are very, very small apart, when the moment of force of strong interaction between two spin particle is displayed, only the  exists. The range of force of  is very short, very short. But the moment of force is very high.

All know: the range of force of the strong interaction is .

Introduction and Contents  引言和目录