Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1998-12-09
Physics
High Energy Physics
High Energy Physics - Phenomenology
7 pages, LaTeX, submitted to Comp. Phys. Commun
Scientific paper
The Schr\"odinger equation discribing the local potential model of a strong $\pi^+\pi^-$-interaction was studied. The influence of the strong $\pi^+\pi^-$-interaction of the behaviour of pionium nS-state wave functions at small distances is studied both analytically (perturbatively) and numerically. It is shown that in the whole the accounting of strong interaction results in multiplying pure Coulomb pionium wave functions by some function is practically independent of the value of the principal quantum number n. Due to this reason, the n-independence of probability of $\pi^+\pi^-$-atom production in nS-state remains the same as in the case of a pure Coulomb $\pi^+\pi^-$-interaction.
Amirkhanov I.
Puzynin I.
Tarasov Alexander
Voskresenskaya O. O.
Zeinalova O.
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