Dynamics of the Pionium with the Density Matrix Formalism

Abstract

The evolution of pionium, the ${\pi }^{+}{\pi }^{-}$ hydrogen-like atom, while passing through matter is solved within the density matrix formalism in the first Born approximation. We compare the influence on the pionium break-up probability between the standard probabilistic calculations and the more precise picture of the density matrix formalism accounting for interference effects. We focus our general result in the particular conditions of the DIRAC experiment at CERN.

14 pages, 2 figures, submitted to J. Phys. B: At. Mol. Phys

References in corpus (2)

• A Monte Carlo Calculation of the Pionium Break-up Probability with Different Sets of Pionium Target Cross Sections
• Density Matrix Kinetic Equation Describing a Passage of Fast Atomic Systems Through Matter

Cited by in corpus (5)

• First measurement of the ${\pi }^{+}{\pi }^{-}$ atom lifetime
• Measurement of the $\pi K$ atom lifetime and the $\pi K$ scattering length
• First measurement of a long-lived ${\pi }^{+}{\pi }^{-}$ atom lifetime
• Dimesoatom breakup in the Coulomb field
• Transition of dimuonium through foil