Half-life determination of heavy ions in a storage ring considering feeding and depleting background processes
2 TRIUMF [Vancouver]
3 Istanbul University
4 MPIK - Max-Planck-Institut für Kernphysik
5 TUM - Technische Universität Munchen = Technical University Munich = Université Technique de Munich
6 CAS Key Laboratory of Crust–Mantle Materials and Environments [Hefei]
7 IRFU - Institut de Recherches sur les lois Fondamentales de l'Univers
8 Goethe University Frankfurt = Goethe-Universität Frankfurt am Main
9 RIKEN PRI - RIKEN Cluster for Pioneering Research
10 INSP - Institut des Nanosciences de Paris
11 CAS Key Laboratory of Basic Plasma Physics
12 The University of Edinburgh
13 Saitama University
Résumé
Heavy-ion storage rings have relatively large momentum acceptance which allows for multiple ion species to circulate at the same time. This needs to be considered in radioactive decay measurements of highly charged ions, where atomic charge exchange reactions can significantly alter the intensities of parent and daughter ions. In this study, we investigate this effect using the decay curves of ion numbers in the recent $^{205}$Tl$^{81+}$ bound-state beta decay experiment conducted using the Experimental Storage Ring at GSI Darmstadt. To understand the intricate dynamics of ion numbers, we present a set of differential equations that account for various atomic and nuclear reaction processes—bound-state beta decay, atomic electron recombination and capture, and electron ionization. By incorporating appropriate boundary conditions, we develop a set of differential equations that accurately simulate the decay curves of various simultaneously stored ions in the storage ring: $^{205}$Tl$^{81+}$, $^{205}$Pb$^{81+}$, $^{205}$Pb$^{82+}$, $^{200}$Hg$^{79+}$, and $^{200}$Hg$^{80+}$. Through a quantitative comparison between simulations and experimental data, we provide insights into the detailed reaction mechanisms governing stored heavy ions within the storage ring. Our approach effectively models charge-changing processes, reduces the complexity of the experimental setup, and provides a simpler method for measuring the decay half-lives of highly charged ions in storage rings.
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