A fundamental concern for using low-energy electrons ( < < 100 eV ) with this technique is their natural tendency to repel one another due to Coulomb forces as well as Fermi Dirac statistics, though electron anti-bunching has been verified only in a single case.
42.
The difficulty lies in the fact that even though the Coulomb force diminishes with distance as 1 / " r " ? the average number of particles at each distance " r " is proportional to " r " ? assuming the fluid is fairly isotropic.
43.
:: : : The energy does not have to go / come from somewhere if it is virtual photons we are speaking of ( which is the case when like charges repel-protons exchange virtual photons which carry the Coulomb force ), it just can't be around for too long.
44.
"' Electrostatic Coulomb force "'also known as "'Coulomb interaction "'and "'electrostatic force "', named for Charles-Augustin de Coulomb who published the result in 1785, describes the attraction or repulsion of particles due to their electric charge.
45.
However, if the atoms have a high enough temperature and pressure ( for example, in the core of the Sun ), then their random motions can overcome such electrical repulsion ( called the Coulomb force ), and they can come close enough for the strong nuclear force to take effect, fusing them into heavier atoms.
46.
The interaction part must contain a term representing the transformation of a proton into a neutron along with the emission of an electron and a neutrino ( now known to be an anti-neutrino ), as well as a term for the inverse process; the Coulomb force between the electron and proton is ignored as irrelevant to the \ beta-decay process.
