The necessity to explain unitary the strong interaction between quarks and their confining and the nuclear force, that generates the nucleons’ confining in quasi-liquid or solid nuclei, is obvious. In the Standard Model of particles, this aim is fulfilled by the concept of ‘color charge’ of current quarks and by the mechanism of interaction by intermediary ‘gluons’ formed as pairs of virtual current quarks and antiquarks, the nuclear force of interaction between nucleons being explained by an exchange of residual gluons (short lived mesons). But compared to the Electrodynamics- which evidenced a real existence of the electric charge, in the Quantum Chromodynamics the real existence of the considered ‘color charge’ is not proved or strongly argued. In a Cold genesis theory of particles  [1], [2] , based on the Galilean relativity, the strong force of quarks confining and the nuclear force were explained by a (multi)vortical model of nucleon, considered as cluster of an even number Np = 1836/0.8095 = 2268 quasielectrons, (integer number of degenerate “gammons”,  g*(e*- e*+)), i.e. electrons with degenerate charge (e* = ±(2/3)e), magnetic moment m* and mass: me* = 0.8095 me,  resulting by a degeneration of  the magnetic moment’s quantum vortex Gm =  GA +GB , given by ‘heavy’ etherons of mass ms » 10-60kg and ‘quantons’ of mass mh = h×1/c2 = 7.37x10-51 kg. The considered “gammons” were experimentally observed in the form of quanta of “un-matter” plasma, [3]. The  me* -value results in CGT by the conclusion that the difference between the masses of neutron and proton: (mn -mp » 2.62 me) is given by an incorporate electron with degenerate magnetic moment and a linking ‘gammon’ se (g*) = 2me* » 1.62 me , forming a ‘weson’, w-  = (se (g*) + e-),  which explains the neutron in a dynamide model of Lenard- Radulescu type [1], [2], ( protonic center and a negatron revolving around it by the Gm -vortex with the speed ve* << c, at a distance re* » 1.36 fm [2]- close to the value of the nucleon’s scalar radius: r0  »1.25 fm used by the formula of nuclear radius: Rn » r0×A1/3), at which it has a degenerate meS -magnetic moment and Sen –spin. The used electron model [1] supposes an exponential variation of its density: re(r) =re0e-r/h, (re0 = 22.24x1013 kg/m3) given by photons of inertial mass mf , vortically attracted around a dense kernel m0 and confined in a volume of classic radius a = 1.41 fm, (the e-charge in electron’s surface), the superposition of the (Np+1) quantonic vortices Gm* of the protonic quasielectrons, generating a total dynamic pressure: Pµ(r) = (1/2)rµ(r)×c2 £  (1/2)rn(r)×c2= Pn(r), inside a volume with radius: da = 2.1 fm, (conform to the superposition principle of quantum mechanics) which gives an exponential nuclear potential: Vn(r) = -uiPµ(r) of eulerian form, conform to : Vn(r) = uiPµ(r) = Vn0×e-r/h* ;      Vn0 = -uiPµ0 ,       (1) with: h* = 0.8 fm (equal to the root-mean-square radius of the magnetic moment’s density variation inside a neutron, experimentally determined) and ui(rpi =0.586fm) » 0.843fm3 - the ‘impenetrable’ volume of nuclear interaction [1], [2], the proton resulting as formed by Np » 2268 paired quasi-electrons which give a proton’s apparent density in its center (by the sum rule), of value:    rno » fc×Np×reo = 4.54x1017kg/m3, (re0 = 22.24 x1013 kg/m3 ), and an attached positron with degenerate magnetic moment, in the CGT’s model, the density of the Gm -vortex of a free electron having approximately the same density’ variation as the density of photons of its classic volume (of radius a = 1.41 fm), f ≈ 0.9 being a coefficient of mass’ and Gm -vortex’s density reducing in the center of the (quasi)electron at its mass degeneration, its value resulting by the gauge relation of CGT: e = 4pa2/k1 and by the integral of nucleon’s mass –considered as given by confined photons, with a density variation: rn(r) = rn0(0).e-r/h’ with h’ = 0.87 fm, (equal to the proton’s root-mean square charge radius, experimentally determined: 0.84 ¸0.87 fm). The variation of rµ(r) is similar to that of rn(r) because it is given mainly by the vorticity of the photons with mass mf >> mh = h1/c2 which give the main part of the nucleon’s mass, (the mass of the bosonic shell of nucleon’s kerneloid), conform to CGT. The radius rpi of the ‘impenetrable’ quantum volume ui corresponding to the nuclear interaction results in CGT as quasi-equal to the radius of the proton’s magnetic moment: rpi » rmp = 0.586 fm, given by the relation mp = 2.79mN = ½ecrm , (Þrmp/rme = mp/me , with: rme = (h/2pmec) » 386fm; mN- the nuclear magneton) and corresponding in CGT to the maximal speed, c, of the quantons in the Gm -vortex of the magnetic moment mp, without the photonic shell of the nucleon’s kerneloid