143 research outputs found
Exclusive and inclusive muon pair production in collisions of relativistic nuclei
The exclusive production of one pair in collisions of two
ultra-relativistic nuclei is considered. We present a simple method for the
calculation of the Born cross section for this process based on an improved
equivalent photon approximation. We find that the Coulomb corrections to this
cross section (corresponding to multi-photon exchange of the produced
with the nuclei) are small while the unitarity corrections
(corresponding to the exchange of light-by-light blocks between nuclei) are
large. This is in sharp contrast to the exclusive pair production
where the Coulomb corrections to the Born cross section are large while the
unitarity corrections are small. We calculate also the cross section for the
production of one pair and several pairs in the leading
logarithmic approximation. Using this cross section we find that the inclusive
production of pair coincides in this approximation with its Born
value.Comment: 16 pages, 4 figure
Production of Low Mass Electron Pairs Due to the Photon-Photon Mechanism in Central Collisions
We calculate the probability for dilepton production in central relativistic
heavy ion collisions due to the gamma-gamma mechanism. This is a potential
background to more interesting mechanisms. We find that this mechanism is
negligible in the CERES experiments. Generally, the contribution due to this
mechanism is small in the central region, while it can be large for small
invariant masses and forward or backward rapidities. A simple formula based on
the equivalent photon approximation and applications to a possible scenario at
RHIC are also given.Comment: 10 pages REVTeX, 5 Figures, for related work see
http://quasar.physik.unibas.ch/~hencken
Nuclear Breakup of Borromean Nuclei
We study the eikonal model for the nuclear-induced breakup of Borromean
nuclei, using Li11 and He6 as examples. The full eikonal model is difficult to
realize because of six-dimensional integrals, but a number of simplifying
approximations are found to be accurate. The integrated diffractive and
one-nucleon stripping cross sections are rather insensitive to the
neutron-neutron correlation, but the two-nucleon stripping does show some
dependence on the correlation. The distribution of excitation energy in the
neutron-core final state in one-neutron stripping reactions is quite sensitive
to the shell structure of the halo wave function. Experimental data favor
models with comparable amounts of s- and p-wave in the Li11 halo.Comment: 34 pages REVTeX, 14 postscript figures. Small changes in comparison
with experimen
Bremsstrahlung Pair Production In Relativistic Heavy Ion Collision
We calculate production of electron- and muon-pairs by the bremsstrahlung
process in hadron collisions and compare it with the dominant two-photon
process. Results for the total cross section are given for proton-proton and
heavy-ion collisions at energies of the Relativistic Heavy Ion Collider (RHIC)
and the Large Hadron Collider (LHC).Comment: 6 pages, Latex, 9 figures using epsf-style. Accepted for publication
in Z. Phys.
Photon-Photon and Photon-Hadron Physics at Relativistic Heavy Ion Colliders
Due to the coherence of all the protons in a nucleus, there are very strong
electromagnetic fields of short duration in relativistic heavy ion collisions.
They give rise to quasireal photon-photon and photon-nucleus collisions with a
large flux. RHIC will begin its experimental program this year and such types
of collisions will be studied experimentally at the STAR detector. RHIC will
have the highest flux of (quasireal) photons up to now in the GeV region. At
the LHC the invariant mass range available in gamma-gamma-interactions will be
of the order of 100 GeV, i.e., in the range currently available at LEP2, but
with a higher gamma-gamma-luminosity. Therefore one has there also the
potential to study new physics. (Quasireal) photon-hadron (i.e.,
photon-nucleus) interactions can be studied as well, similar to HERA, at higher
invariant masses. Vector mesons can be produced coherently through
photon-Pomeron and photon-meson interactions in exclusive reactions such as A+A
-> A+A+V, where A is the heavy ion and V=rho,omega,phi or J/Psi.Comment: 6 pages, to be published in the proceedings of the Photon'99
conferenc
Electron-positron pair production in the external electromagnetic field of colliding relativistic heavy ions
The results concerning the production in peripheral highly
relativistic heavy-ion collisions presented in a recent paper by Baltz {\em{et
al.}} are rederived in a very straightforward manner. It is shown that the
solution of the Dirac equation directly leads to the multiplicity, i.e. to the
total number of electron-positron pairs produced by the electromagnetic field
of the ions, whereas the calculation of the single pair production probability
is much more involved. A critical observation concerns the unsolved problem of
seemingly absent Coulomb corrections (Bethe-Maximon corrections) in pair
production cross sections. It is shown that neither the inclusion of the
vacuum-vacuum amplitude nor the correct interpretation of the solution of the
Dirac equation concerning the pair multiplicity is able the explain (from a
fundamental point of view) the absence of Coulomb corrections. Therefore the
contradiction has to be accounted to the treatment of the high energy limit.Comment: 6 pages, 4 Postscript figures, uses svjour.cls/svepj.cl
Multiple electromagnetic electron positron pair production in relativistic heavy ion collisions
We calculate the cross sections for the production of one and more
electron-positron pairs due to the strong electromagnetic fields in
relativistic heavy ion collisions. Using the generating functional of fermions
in an external field we derive the N-pair amplitude. Neglecting the
antisymmetrisation in the final state we find that the total probability to
produce N pairs is a Poisson distribution. We calculate total cross sections
for the production of one pair in lowest order and also include higher-order
corrections from the Poisson distribution up to third order. Furthermore we
calculate cross sections for the production of up to five pairs including
corrections from the Poisson distribution.Comment: 13 pages REVTeX, 4 Postscript figures, This and related papers may
also be obtained from http://www.phys.washington.edu/~hencken
Mechanisms for Direct Breakup Reactions
We review some simple mechanisms of breakup in nuclear reactions. We mention
the spectator breakup, which is described in the post-form DWBA. The relation
to other formulations is also indicated. An especially important mechanism is
Coulomb dissociation. It is a distinct advantage that the perturbation due to
the electric field of the nucleus is exactly known. Therefore firm conclusions
can be drawn from such measurements. Some new applications of Coulomb
dissociation for nuclear astrophysics are discussed.Comment: 17 pages, 5 figures, to appear in the proceedings of the RCNP-TMU
Symposium on Spins in Nuclear and Hadronic Reactions, October 16-18 199
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