π-meson nucleon scattering length from CLAS threshold photoproduction measurements
Here, extending our study of the vector meson-nucleon scattering lengths, we are focusing on the π-meson case using recent CLAS threshold data for the reaction πΎβ’π βπβ’π within the mesonβbaryon reaction model. The total ππ‘β‘(πΎβ’π βπβ’π) and ππ‘β‘(πΎβ’π βπβ’π) cross sections are close to the momentum of the vector meson in CM π =0.2 GeV/c. Then the πβ’π photoproduction cross section grows rapidly. Our result for πβ’π scattering length is a factor of 4 smaller than the size of the hadron and the phenomenological determination of the π nucleon scattering length using threshold photoproduction cross sections. The observed difference betweenmore »