10 research outputs found
Cross section of the processes , , , in the energy region 200 MeV 3 GeV
The cross section for different processes induced by annihilation,
in the kinematical limit
, is
calculated taking into account first order corrections to the amplitudes and
the corrections due to soft emitted photons, with energy in the center of mass of the colliding beams. The results
are given separately for charge--odd and charge--even terms in the final
channels and . In case of pions, form
factors are taken into account. The differential cross sections for the
processes: , , have been calculated and the
corresponding formula are given in the ultrarelativistic limit . For a quantitative evaluation of the
contribution of higher order of the perturbation theory, the production of
, including radiative corrections, is calculated in the approach of
the lepton structure functions. This allows to estimate the precision of the
obtained results as better than 0.5% outside the energy region corresponding to
narrow resonances. A method to integrate the cross section, avoiding the
difficulties which arise from singularities is also described.Comment: 25 pages 3 firgur
Atom made from charged elementary black hole
It is believed that there may have been a large number of black holes formed
in the very early universe. These would have quantised masses. A charged
``elementary black hole'' (with the minimum possible mass) can capture
electrons, protons and other charged particles to form a ``black hole atom''.
We find the spectrum of such an object with a view to laboratory and
astronomical observation of them, and estimate the lifetime of the bound
states. There is no limit to the charge of the black hole, which gives us the
possibility of observing Z>137 bound states and transitions at the lower
continuum. Negatively charged black holes can capture protons. For Z>1, the
orbiting protons will coalesce to form a nucleus (after beta-decay of some
protons to neutrons), with a stability curve different to that of free nuclei.
In this system there is also the distinct possibility of single quark capture.
This leads to the formation of a coloured black hole that plays the role of an
extremely heavy quark interacting strongly with the other two quarks. Finally
we consider atoms formed with much larger black holes.Comment: 22 pages, 4 figure