English

"Buddha's Light" of Cumulative Particles

Nuclear Theory 2014-11-12 v3 High Energy Physics - Phenomenology

Abstract

We show analytically that in the cumulative particles production off nuclei multiple interactions lead to a glory-like backward focusing effect. Employing the small phase space method we arrived at a characteristic angular dependence of the production cross section dσ1/πθd\sigma \sim 1/ \sqrt {\pi - \theta} near the strictly backward direction. This effect takes place for any number n3n\geq 3 of interactions of rescattered particle, either elastic or inelastic (with resonance excitations in intermediate states), when the final particle is produced near corresponding kinematical boundary. Such a behaviour of the cross section near the backward direction is in qualitative agreement with some of available data. Explanation of this effect and the angular dependence of the cross section near θπ\theta \sim \pi are presented for the first time.

Keywords

Cite

@article{arxiv.1403.1992,
  title  = {"Buddha's Light" of Cumulative Particles},
  author = {Vladimir B. Kopeliovich and Galina K. Matushko and Irina K. Potashnikova},
  journal= {arXiv preprint arXiv:1403.1992},
  year   = {2014}
}

Comments

The proof of the azimuthal focusing for arbitrary polar angles of the momenta of rescattered light particle is given (section 4). Amendments made in the text and figures. Presented at the International seminar Quarks-2014, Suzdal', Russia, 2-8 June 2014. 26 pages, 7 figures. To the memory of Lyonya Kondratyuk, outstanding scientist and person