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arXiv · 1807.05105

Theoretical study of the $Δ^{++}-Δ^-$ configuration in the deuteron using antiproton beam

A. B. Larionov·A. Gillitzer·J. Haidenbauer·M. Strikman
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Abstract

We study the manifestation of the $Δ^{++}-Δ^-$ component of the deuteron wave function in the exclusive reaction $\bar p d \to π^- π^- Δ^{++}$. Due to the large binding energy the internal motion in the $Δ-Δ$ system is relativistic. We take this into account within the light-cone (LC) wave function formalism and, indeed, found large differences between calculations based on the LC and non-relativistic (NR) wave functions. We demonstrate, that the consistent LC treatment of the $Δ-Δ$ system plays the key role in the separation of the signal and background. Within the LC approach, the characteristic shape of the momentum distribution of the $Δ-Δ$ bound system predicted by the meson-exchange model is well visible on the background of usual annihilations at beam momenta between 10 and 15 GeV/c.

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A. B. Larionov, A. Gillitzer, J. Haidenbauer, M. Strikman. 2018-10-17. Theoretical study of the $Δ^{++}-Δ^-$ configuration in the deuteron using antiproton beam. https://doi.org/10.1103/physrevc.98.054611

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