The influence of the hadronic interaction on the pionium wave functions
| dc.creator | Gashi, A. | |
| dc.creator | Rasche, G. | |
| dc.creator | Woolcock, W. S. | |
| dc.date | 2001-04-05 | |
| dc.date.accessioned | 2026-07-07T12:02:46Z | |
| dc.date.available | 2026-07-07T12:02:46Z | |
| dc.description | The influence of the hadronic ππinteraction on the wave functions of pionium (the Coulomb bound π^+π^- system) at distances less than 10 fm is calculated for s-states with principal quantum numbers n<5. Hadronic ππpotentials are used that reproduce the scattering phase shifts of two-loop chiral perturbation theory. The pionium wave functions ψ_n (r) are obtained by integrating the coupled Schrödinger equations for the (π^+π^-,π^0π^0) system. We find that, for r<10 fm, n^{3/2} ψ_n (r) is practically independent of n. From this we conclude that the production rates of the s-states of pionium are proportional to n^{-3}, a result needed for the interpretation of the DIRAC experiment currently running at CERN. | |
| dc.description | 9 pages including 2 figures | |
| dc.identifier | https://arxiv.org/abs/hep-ph/0104059 | |
| dc.identifier | http://arxiv.org/abs/hep-ph/0104059 | |
| dc.identifier | Phys.Lett.B513:269-272,2001 | |
| dc.identifier | doi:10.1016/S0370-2693(01)00753-5 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/207555 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | The influence of the hadronic interaction on the pionium wave functions | |
| dc.type | text |