https://doi.org/10.1140/epja/s10050-021-00364-4
Regular Article – Theoretical Physics
-p scattering length from the total and differential photoproduction cross sections
1
Thomas Jefferson National Accelerator Facility, 23606, Newport News, VA, USA
2
The George Washington University, 20052, Washington, DC, USA
Received:
9
November
2020
Accepted:
13
January
2021
Published online:
11
February
2021
The -p scattering length, 
, can be extracted from the photoproduction cross section near threshold using the Vector Meson Dominance (VMD) model to relate the reaction 
to 
. Such estimates based on experimental data result in values for 
, which are much lower than most of the theoretical predictions. In this work, we study the relations between the different results, depending on the use of the total or the differential cross sections, and the method of extrapolating the data to threshold in the case of a low-statistics data sample, such as the near threshold photoproduction dataset. We estimate a range for of 0.003–0.025 fm as extracted from experimental data within the VMD model and discuss possible reasons for such lower values compared to the theoretical results.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021
