On extracting information about hadron-nuclear interaction from hadronic atom level shifts

TL;DR

This paper discusses how directly fitting strong potentials to hadronic atom level shifts can yield different scattering lengths than the Deser formula predicts, with implications for interpreting experimental data.

Contribution

It demonstrates that adjusting potentials to observed shifts provides more accurate scattering lengths than the Deser formula, using kaonic hydrogen as an example.

Findings

Adjusted scattering lengths differ significantly from Deser formula estimates.

Revised values suggest more accurate interpretation of experimental data.

Implications for hadron-nuclear interaction analysis.

Abstract

It is argued, that adjusting strong potentials directly to observed hadronic atom level shifts may lead to significantly different scattering lengths, than those, predicted by the Deser formula. On the example of the 1s level shift of kaonic hydrogen it is demonstrated, that the usually adopted Deser values deduced from the two recent measurements in KEK and by the DEAR Collaboration $a_D({\rm KEK}) = 0.78 - 0.49i$ fm and $a_D({\rm DEAR}) = 0.47 - 0.3i$ fm should be replaced by $a_s({\rm KEK})\simeq 0.85 - 0.62i$ fm and $a_s({\rm DEAR})\simeq 0.49 - 0.35i$ fm, correspondingly.