  The Single Bubble SonoLuminescence is a phenomenon where the vapor bubble
trapped in a liquid collapse by emitting of a light. It is very known that the
temperature inside the bubble depends on the radius, during the collapse, the
temperature can reach thousands of Kelvins and that the light would be emitted
by radiation of the ionized gas inside the bubble. So, studies show that in
certain cases neither an imploding shock nor a plasma has been observed and the
temperature is not high enough to explain the spectrum observed. The Single
Bubble SonoLuminescence remains a subject of study. For this study we consider
the bubble as a box where the free particles (particularly electrons) stemming
from the molecules dissociation, are are trapped and confined within the
bubble. The confinement allows the particles to acquire some energy during the
collapse which they lose in the form of light and also to be considered to bind
to the bubble as an electron is bound to the nucleus in an atom. So, with
regard to the bubble the energy of the particles can be considered to quantify,
and with the quantum theory, by putting some hypotheses, their energy is
determined well. The energy is physically acceptable that if the bubble is
spherical. This necessary condition of a spherical bubble of the model is
observed experimentally in the collapse phase but not in the afterbounce phase
of the bubble, explain why the bubble emits of light in the collapse but not in
the phase of the afterbounces where she can be smaller, and constitute a
validation of the Single Bubble SonoLuminescence of particles model. For the
application of the Single Bubble SonoLuminescence of particles model we
consider a electron free particle of mass . We note that the interval of time
between and energy (who can be considered as the duration when the bubble emits
some light) is of the order of picoseconds, the same order that the shortest
pulses observed experimentally.
