No Sommerfeld resummation factor in e+e- -> ppbar ?
Rinaldo Baldini Ferroli, Simone Pacetti, Adriano Zallo
TL;DR
The study compares the Sommerfeld rescattering formula to BaBar e+e- -> ppbar data, finding that the resummation factor is unnecessary and that the proton behaves like a pointlike fermion near threshold.
Contribution
It demonstrates that the traditional Sommerfeld resummation factor is not required to describe e+e- -> ppbar data near threshold, challenging previous assumptions.
Findings
|G^p (4M_p^2)|= 1 at threshold
Resummation factor in Sommerfeld formula is not needed
Similar behavior observed in other baryon-antibaryon cross sections
Abstract
The Sommerfeld rescattering formula is compared to the e+e- -> ppbar BaBar data at threshold and above. While there is the expected Coulomb enhancement at threshold, two unexpected outcomes have been found: |G^p (4M_p^2)|= 1, like for a pointlike fermion, and moreover data show that the resummation factor in the Sommerfeld formula is not needed. Other e+e- -> baryon-antibaryon cross sections show a similar behavior near threshold.
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