Effects of the transverse coherence length in relativistic collisions
- URL: http://arxiv.org/abs/2002.00101v2
- Date: Thu, 9 Apr 2020 10:09:40 GMT
- Title: Effects of the transverse coherence length in relativistic collisions
- Authors: Dmitry V. Karlovets, Valeriy G. Serbo
- Abstract summary: We study the role of a transverse coherence length of the packets in collisions of particles.
In $ee, ep$, and $pp$ collisions the interference results in corrections to the plane-wave cross sections.
beyond the perturbative QCD, these corrections become only moderately attenuated allowing one to probe a phase of the hadronic amplitude.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Effects of the quantum interference in collisions of particles have a twofold
nature: they arise because of the auto-correlation of a complex scattering
amplitude and due to spatial coherence of the incoming wave packets. Both these
effects are neglected in a conventional scattering theory dealing with the
delocalized plane waves, although they sometimes must be taken into account in
particle and atomic physics. Here, we study the role of a transverse coherence
length of the packets, putting special emphasis on the case in which one of the
particles is twisted, that is, it carries an orbital angular momentum
$\ell\hbar$. In $ee, ep$, and $pp$ collisions the interference results in
corrections to the plane-wave cross sections, usually negligible at the
energies $\sqrt{s} \gg 1$ GeV but noticeable for smaller ones, especially if
there is a twisted hadron with $|\ell| > 10^3$ in initial state. Beyond the
perturbative QCD, these corrections become only moderately attenuated allowing
one to probe a phase of the hadronic amplitude as a function of $s$ and $t$. In
this regime, the coherence effects can compete with the loop corrections in QED
and facilitate testing the phenomenological models of the strong interaction at
intermediate and low energies.
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