The ratio of pionium formation probabilities in ns-states stays at (n2/n1)^3 to O(10^-3) under first-order strong-interaction corrections, and the Deser level shift is rewritten in terms of the strong-interaction radius and the wave-function correction at the origin.
Analysis of correlation data of pi^+pi^- pair in p + Ta reaction using Coulomb wave function including momentum resolution and strong interaction effect
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abstract
We have proposed a new method for the Coulomb wave function correction which includes the momentum resolution for charged hadron pairs and applied it to the precise data on pi^+pi^- correlations obtained in p + Ta reaction at 70 GeV/c. It is found that interaction regions of this reaction (assuming Gaussian source function) are 9.8+-5.8 fm and 7.7+-4.8 fm for the thicknesses of the target 8 micro m and 1.4 micro m, respectively. We have also analyzed the data by the formula including strong interaction effect. The physical picture of the source size obtained in this way is discussed.
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Formulation of the Deser formula for the shift of energy levels of hadronic atoms in terms of the effective radius of the strong interaction with the Coulomb wave function of hadronic atoms at the origin
The ratio of pionium formation probabilities in ns-states stays at (n2/n1)^3 to O(10^-3) under first-order strong-interaction corrections, and the Deser level shift is rewritten in terms of the strong-interaction radius and the wave-function correction at the origin.