30 July 2023 to 4 August 2023
Alte Mensa
Europe/Berlin timezone

Three-charge-particle systems in the framework of coupled coordinate-space few-body equations

Not scheduled
20m
AudiMax (Alte Mensa)

AudiMax

Alte Mensa

Johann-Joachim-Becher-Weg 3, 55128 Mainz
Poster Presentation Poster Session

Speaker

Prof. Renat Sultanov (Odessa College, Department of Mathematics)

Description

We study three-charge-particle low-energy elastic collision and particle-exchange reaction with special attention to the systems with Coulomb and an additional nuclear interaction employing a close-coupling expansion scheme to a set of coupled two-component few-body equations [1,2]. First we apply our formulation to compute low-energy elastic scattering phase shifts for the d+(t$\mu^-)_{1s}$ collision, which is of significant interest for the muon-catalyzed-fusion D-T cycle. Next, we study the particle-exchange reaction d+(p$X^-$)$\rightarrow$ p+(d$X^-$) with the long-lived elementary heavy lepton stau $X^-$, which can play a critical role in the understanding of the Big-Bang nucleosynthesis and the nature of dark matter. We also study the total cross sections and rates for two particle-exchange reactions involving deuteron (d), triton (t), and antiprotons ($\rm{p^-}$) e.g., $\rm{p}^-+(\rm{d}\mu^-)_{1s} \rightarrow (\rm{p}\rm{d})_{1s} + \mu^-$ and $\rm{p}^-+(\rm{t}\mu^-)_{1s} \rightarrow (\rm{p}^-\rm{t})_{1s} + \mu^-,$ where $\mu^-$ is a muon. The effect of the final state short-range strong ($\rm{p}^-$d) and ($\rm{p}^-$t) nuclear interactions is significant in these reactions, which increases the reaction rates by a factor of $\sim$3.
1. R. A. Sultanov and S. K. Adhikari, EPJ Web of Conferences 262, 01023 (2022).
2. R. A. Sultanov, D. Guster, and S. K. Adhikari, Atoms 6(2), 18 (2018) (doi.org/10.3390/atoms6020018).

Primary author

Prof. Renat Sultanov (Odessa College, Department of Mathematics)

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