The meeting of the three particles is given by :

The momentum in the z direction is given by Δ p = -hR/2π and Rλ = 2kπ and Δ p = -kh/λ .

where k is a whole number.

The particle takes the momentum Δ P when entity three cross through the particle. Therefore the charge is given by k with e as unit.

In this case we substitute g for F, b for B and l for n.

The Mecanics of Hamilton-jacobi gives :

and with b, g, k° and l whole numbers and .

Specially we have :

l = +1 and k° = +1 .........................................................l = -1 and k° = -1

b = 0 g = 0 q = 0 .............................................................b = 0 g = 0 q = 0

b = 1 g = 0,1 q =1,0 ........................................................b = -1 g = 0, -1 q = -1, 0

l = 2 and k° = 0 .............................................................l = 2 and k° = 2

b = 0 g = 0 q = -1 ...........................................................b = 0 g = 0 q = 0

b = 1 g = 0, 1 q = 0, -1 ...................................................b = 1 g = 0, 1 q = 1, 0

b = 2 g = 0, 1, 2 q = 1, 0, -1 ...........................................b = 2 g = 0, 1, 2 q = 2, 1, 0

The octet of mesons is given by l = +1 and k° = +1 with l = -1 and k° = -1. The decuplet of baryons is given by l = k° = 0 with l = 1 and k° = 1.

But for the octet of baryons it is necessary to have l = 2 and k° =2 with l = -1 and k° = -1, and the result is :

b = 2 q = 2, 1, 0

b = 1 q = 1, 0 and q = 2, 1, 0, -1

b = 0 q = 0 and q = 1, 0, -1

b = -1 q = -1, 0

We have a system nearly the quark system. But it is more complete. We have no fractional charge and the resonance KN

(b = 2) become a part of this system.

For the leptons it is necessary to take l , b, g and k° half of a whole.

NOTICE

The Coulomb's force is pratically not existing between two particles . In the atom the probability for an electron to collect an entity three ( or a photon), which comes from the proton, is very small . The connection is undulatory . When the proton emits an entity three it emits also a wave in the vacuum , where we have entities three , and the electron goes where it is in resonance with this wave . This is the cause of the quantification in the atom .We find the classical results . But it seems the spin is more a dephasing than a rotation ,and it is quantified .

The Coulomb's law is not good also at big distance . Because the discontinuous kind of the entities three ,which carry this force . We have a problem which is the same problem of Olbers' paradox , and the problem of the dark matter for the Newton's law .

It is also important to see it is the particular frequency of the electron

which gives the length of the chemical connection and all the molecules.

For the nucleus it is the frequency of the proton which gives the lenth of the connection It is more short.