TY - JOUR

T1 - Transition of dimuonium through foil

AU - Alizzi, Abdaljalel

AU - Uskov, Artem

AU - Silagadze, Z. K.

PY - 2024/10/9

Y1 - 2024/10/9

N2 - This paper presents a study of the passage of dimuonium through the foil of ordinary matter. First, we provide an overview of how dimuonium is planned to be produced for such a type of experiment and how it is expected to interact with the ordinary atoms - predominantly electromagnetically via the screened Coulomb potential of the atomic nuclei. Then, we describe the transport equations that represent the evolution of dimuonium states during the passage and their solution methods. Finally, for three different foils (beryllium, aluminium, and lead), we present the results of this study. To estimate the impact of uncertainties in the potential of a target atom, we study 15 different approximations of the atomic potential and show that the corresponding atomic-potential-model-dependent error in the yields of the low-lying states of dimuonium is quite small within the framework of the applied Born approximation. The convergence of the results after truncation of the infinite system of transport equations to the finite number of quantum states of dimuonium is also studied, and good convergence for the yields of low-lying states is demonstrated.

AB - This paper presents a study of the passage of dimuonium through the foil of ordinary matter. First, we provide an overview of how dimuonium is planned to be produced for such a type of experiment and how it is expected to interact with the ordinary atoms - predominantly electromagnetically via the screened Coulomb potential of the atomic nuclei. Then, we describe the transport equations that represent the evolution of dimuonium states during the passage and their solution methods. Finally, for three different foils (beryllium, aluminium, and lead), we present the results of this study. To estimate the impact of uncertainties in the potential of a target atom, we study 15 different approximations of the atomic potential and show that the corresponding atomic-potential-model-dependent error in the yields of the low-lying states of dimuonium is quite small within the framework of the applied Born approximation. The convergence of the results after truncation of the infinite system of transport equations to the finite number of quantum states of dimuonium is also studied, and good convergence for the yields of low-lying states is demonstrated.

UR - https://www.mendeley.com/catalogue/d695cbd3-30b7-3d6f-bbb0-c78ec78d1857/

U2 - 10.1103/PhysRevA.110.042810

DO - 10.1103/PhysRevA.110.042810

M3 - Article

VL - 110

JO - Physical Review A

JF - Physical Review A

SN - 2469-9926

IS - 4

M1 - 042810

ER -