Abstract:
The rearrangement time \Deltat of the fission reaction can be extracted from the full-width at half maximum (f.w.h.m.) of the isotopic distributions of fission fragments if this width is attributed to an uncertainty \DeltaN in the neutron-number N of the fragment; then the energy-time uncertainty relation leads to \Deltat = 0.17 yoctosecond.

Abstract:
A new study of the initial phenomena occurring in the fireball should confirm the predicted creation of a new state of nuclear matter having a lifetime of 0.17 yoctosecond and releasing an energy of 3.87 GeV. The energy-time uncertainty relation might be connected with an up to now unsuspected momentum-position uncertainty relation holding in a three-dimensional time. This new point of view leads to the interpretation of the charge of a particle as being a rotational motion in time, to a new interpretation of inertia, and to a new interpretation of the color of a particle. The transverse momentum observed in the study of the fireball might be the signature of this motion in time of the charge.

Abstract:
The key numbers useful for describing the fission process are the mass number of the primordial cluster of the fissioning system and the magic mass numbers 82 and 126 of the nascent light and heavy fragments. The mean mass number and the mean atomic number of the light fragments are linked to the mass number and to the atomic number of the primordial cluster by simple relationships. The value 54 of the mean atomic number of the heavy fragments is predicted by the nucleon phase model.

Abstract:
The transfer of nucleons in hot-fusion reactions occurs within 0.17 yoctosecond, in a new state of nuclear matter. We suggest that the same state should show itself in an early stage of the phenomena occurring in nucleus-nucleus collisions realized at relativistic energies.

Abstract:
The cross section curves for the formation, at the barrier, of trans-target isotopes of a heavy element by bombardment of a heavy target with various heavy ions are shown to be similar to the distribution of the neutron number N of a fission fragment around its most probable value . Moreover the isotopic cross sections for one-, two- and three- proton transfer products are found to be in agreement with the Gaussian distribution law of the atomic number Z of a fission product around its most probable value . This situation suggests that the law of transfer of nucleons could be the same in fission and in particular heavy-ion reactions, and that the transfer time could be the same, i.e. of the order of 0.17 yoctosecond.

Abstract:
The mass distribution of fission fragments of actinide and superheavy nuclei can be explained if a new state of nuclear matter, a nucleon phase, is created in any fission event.

Abstract:
In the "nucleon-phase" model of binary fission, the transfer of nucleons between an A =126 {\guillemotleft} nucleon core {\guillemotright} and the primordial "cluster" can explain both the formation of high- spin states and the saw-tooth behavior of the variation, as a function of fragment mass, of the average angular momentum.

Abstract:
The rearrangement step of nuclear fission occurs within 0.17 yoctosecond, in a new state of nuclear matter characterized by the formation of closed shells of nucleons. The determination of its lifetime is now based on the prompt neutron emission law. The width of isotopic distributions measures the uncertainty in the neutron number of the fragments. Magic mass numbers, 82 and 126, play a major role in the mass distributions. Arguments are presented in favour of an all-neutron state. The boson field responsible for the new collective interaction has to be searched for.

Abstract:
The paper deals with an extension theorem by Costakis and Vlachouon simultaneous approximation for holomorphic function to the setting of Dirichlet series, which are absolutely convergent in the right half of the complex plane. The derivation operator used in the analytic case is substituted by a weighted backward shift operator in the Dirichlet case. We show the similarities and extensions in comparing both results. Several density results are proved that finally lead to the main theorem on simultaneousapproximation.