Since, at RHIC and LHC heavy-ion colliders the classical color field play an important role to study production of quark-gluon plasma, we propose a theory to describe strong-field inside the nucleons based on Dual Ginzburg-Landau-Pitaevski (DGL) theory . We provide a detailed analysis of physically important quantities as regarding the nucleons substructure as: the uniform chromoelectric field (vortex) strength inside a nucleon, the mass of monopole viewed as gluons which are the propagators of the QCD and carry colour and anti-colour, with an hedgehog-like configuration, or as a results of interaction of spin-orbit of the monopole current , or of Rashba field interaction, all giving the same result; the quantification of the interaction energies of one vortex ( ) and of a giant vortex ( ), as to be encapsulated by the Abrikosov triangular lattice generated by the coalescence of the flux lines. Therefore, it is proved for the first time, that in the nucleon exist sufficiently high electromagnetic fields that permit to continue extract (with a rate of pair) from vacuum of pairs (virtual) of high energy electrons, of , Higgs bosons, quarks, by a Schwinger effect, etc, to transform its into real one of very short time life, just like in a veritable laboratory. Thus, it was discovered for the first time that is in fact the Schwinger critical field for the pair creation from vacuum. These pairs decay or annihilate into electrons, which passes the monopole condensate barrier as beta-electrons by quantum tunneling due of the phase slip with and of a energy release, the entire model is proved for a free neutron decay life-time. Equally, the same Schwinger pairs-production rates are enhanced by a thermal Boltzmann factor in place of quantum tunneling, when this thermalization due of the incidence of an high thermal spike of a photon with nucleons destroys the superconductivity. This effect is proved in the case of , through its β-decay to 1.809 MeV γ-ray, when at high temperatures ( ) equilibrium is reached between and which is relevant to some high temperature astrophysical events such as novae. In the applications, as based on these data, there are calculated: the Higgs boson energy release due of two gluons fusion during the collision at LHC, gluon pair production from space-time dependent chromofield due of the collision of and of heavy nuclei; the pairs creation due of the thermally-induced vacuum instability as induced by a laser pulse in a crossed field of a single plane wave generated by a single high energy photon. A proposal to use a laser pulse to reduce the half life of beta decay nuclides is discussed.