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Effects of the transverse coherence length in relativistic collisions D. V. Karlovets, V. G. Serbo

By: Karlovets, Dmitry VContributor(s): Serbo, Valeriy GMaterial type: ArticleArticleContent type: Текст Media type: электронный Subject(s): поперечная когерентность | столкновение частиц | эффекты квантовой интерференцииGenre/Form: статьи в журналах Online resources: Click here to access online In: Physical Review D Vol. 101, № 7. P. 076009-1-076009-18Abstract: Effects of the quantum interference in collisions of particles have a twofold nature: they arise because of the autocorrelation 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 lℏ. In ee; ep, and pp collisions the interference results in corrections to the plane-wave cross sections, usually negligible at the energies pffisffiffi ≫ 1 GeV but noticeable for smaller ones, especially if there is a twisted hadron with jlj > 103 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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Effects of the quantum interference in collisions of particles have a twofold nature: they arise because of
the autocorrelation 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 lℏ. In ee; ep, and pp
collisions the interference results in corrections to the plane-wave cross sections, usually negligible at the
energies pffisffiffi ≫ 1 GeV but noticeable for smaller ones, especially if there is a twisted hadron with jlj > 103
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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