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The Influence of Strong Interaction on the Pionium Wave Functions at Small Distances

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abstract

The influence of strong $\pi^+\pi^-$ interaction of the behaviour of pionium nS-state wave functions at small distance are investigated both analytically (perturbatively) and so numerically. It is shown that in the whole the accounting of strong interaction results in multiplying of pure Coulomb pionium wave functions by some function practically independent on value of 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 case of pure Coulomb $\pi^+\pi^-$ interaction

fields

hep-ph 1

years

2019 1

verdicts

CONDITIONAL 1

representative citing papers

Dimesoatom breakup in the Coulomb field

hep-ph · 2019-08-14 · conditional · novelty 6.0

A closed-form Glauber amplitude for ground-state elementary-atom Coulomb breakup is derived and compared with Born and dipole approximations for DIRAC-type atomic pair spectra.

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  • Dimesoatom breakup in the Coulomb field hep-ph · 2019-08-14 · conditional · none · ref 13 · internal anchor

    A closed-form Glauber amplitude for ground-state elementary-atom Coulomb breakup is derived and compared with Born and dipole approximations for DIRAC-type atomic pair spectra.