We consider the contribution of the Odderon to diffractive <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mi>p</a:mi><a:mi>p</a:mi></a:math> and <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"><c:mi>p</c:mi><c:mover accent="true"><c:mi>p</c:mi><c:mo stretchy="true">¯</c:mo></c:mover></c:math> elastic scattering at large center of mass energy. We identify the Odderon and Pomeron with the Reggeized <g:math xmlns:g="http://www.w3.org/1998/Math/MathML" display="inline"><g:msup><g:mn>1</g:mn><g:mrow><g:mo>±</g:mo><g:mo>−</g:mo></g:mrow></g:msup></g:math> and <i:math xmlns:i="http://www.w3.org/1998/Math/MathML" display="inline"><i:msup><i:mn>2</i:mn><i:mrow><i:mo>+</i:mo><i:mo>+</i:mo></i:mrow></i:msup></i:math> glueballs in the bulk, respectively. We use for the gravity dual description the repulsive wall model, to account for the proper Gribov diffusion for off-forward scattering. The eikonalized and unitarized amplitudes exhibit a vanishingly small rho-parameter, and a slope parameter fixed by twice the closed string slope. The results for the differential and total cross sections are compared to the empirical results reported recently by the TOTEM collaboration. Published by the American Physical Society 2024
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Hechenberger et al. (2024) studied this question.
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