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<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>ω</mml:mi><mml:mi>N</mml:mi></mml:mrow></mml:math> scattering length from <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>ω</mml:mi></mml:math> photoproduction on the proton near the reaction threshold

<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>ω</mml:mi><mml:mi>N</mml:mi></mml:mrow></mml:math> scattering length from <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>ω</mml:mi></mml:math> photoproduction on the proton near the reaction threshold

Photoproduction of the $\ensuremath{\omega}$ meson on the proton has been experimentally studied near the threshold. The total cross sections are determined at incident energies ranging from 1.09 to 1.15 GeV. The 1/2 and 3/2 spin-averaged scattering length ${a}_{\ensuremath{\omega}p}$ and effective range ${r}_{\ensuremath{\omega}p}$ between the $\ensuremath{\omega}$ meson and proton are estimated …