Relation mass-range

The relation mass-range is a major expression of the comprehension which the physicists associate with the fields forces. It is obtained via simple formulas associating the quantum Mécanique, via the relations of uncertainties, and the restricted Relativité because of existence of the limitation from speeds with C , speed of light and of the relation of equivalence mass-energy.

In the modern interpretation of physics, there is no instantaneous interaction and the simplest fields of the forces, the such electrostatic field for example, are interpreted like the result of exchanges, by the particles in interaction, of bosons of interaction, or boson of gauge.

These bosons have masses directly bound with the range of the interaction. The demonstration of the relation between m and D rests on the fact that the exchanged boson is in a virtual state , and that its existence, requiring an energy $\backslash \; Delta\; E\; =\; mc^\; \{2\}$, is allowed only for one length of time $\backslash \; Delta\; t$ enabling him to traverse as well as possible the distance $c\; \backslash \; Delta\; T\; =\; d$.

The relation of uncertainty time-energy, $\backslash \; Delta\; E.\; \backslash \; Delta\; T\; \backslash \; simeq\; \backslash \; hbar$, carries out then to:

$m=\; \backslash \; frac\; \{\backslash \; hbar\}\; \{Cd\}\; \backslash \; qquad.$

The photon, boson of interaction electromagnetic, has a null mass characteristic of the infinite range. The bosons of weak interaction have masses compatible with the very short range ($10^\; \{-\; 18\}$ m).

With regard to the strong interaction one distinguishes two levels from description: outside, and inside let us baryons, whose components are the quarks.

* between let us baryons (nucleons, for example), the range of the interaction ($10^\; \{-\; 15\}$ m) is compatible with the exchange of mesons (which are bosons), in particular the pawns;

* inside let us baryons, the strong interaction relates to the Quark S, bound by the gluons, bosons of null mass. The relation mass-range does not apply directly here, taking into account the behavior of gluons within the framework of the quantum Chromodynamique.

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