Evidence of Odderon-exchange from scaling properties of elastic scattering at TeV energies
T. Csörgő, T. Novák, R. Pasechnik, A. Ster, I. Szanyi
Abstract
Abstract We study the scaling properties of the differential cross section of elastic proton–proton ( pp ) and proton–antiproton ( $$p\bar{p}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>p</mml:mi><mml:mover><mml:mrow><mml:mi>p</mml:mi></mml:mrow><mml:mrow><mml:mo>¯</mml:mo></mml:mrow></mml:mover></mml:mrow></mml:math> ) collisions at high energies. We introduce a new scaling function, that scales – within the experimental errors – all the ISR data on elastic pp scattering from $$\sqrt{s} = 23.5$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msqrt><mml:mi>s</mml:mi></mml:msqrt><mml:mo>=</mml:mo><mml:mn>23.5</mml:mn></mml:mrow></mml:math> –62.5 GeV to the same universal curve. We explore the scaling properties of the differential cross-sections of the elastic pp and $$p\bar{p}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>p</mml:mi><mml:mover><mml:mrow><mml:mi>p</mml:mi></mml:mrow><mml:mrow><mml:mo>¯</mml:mo></mml:mrow></mml:mover></mml:mrow></mml:math> collisions in a limited TeV energy range. Rescaling the TOTEM pp data from $$\sqrt{s} = 7$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msqrt><mml:mi>s</mml:mi></mml:msqrt><mml:mo>=</mml:mo><mml:mn>7</mml:mn></mml:mrow></mml:math> TeV to 2.76 and 1.96 TeV, and comparing it to D0 $$p\bar{p}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>p</mml:mi><mml:mover><mml:mrow><mml:mi>p</mml:mi></mml:mrow><mml:mrow><mml:mo>¯</mml:mo></mml:mrow></mml:mover></mml:mrow></mml:math> data at 1.96 TeV, our results provide an evidence for a t -channel Odderon exchange at TeV energies, with a significance of at least 6.26 $$\sigma $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>σ</mml:mi></mml:math> . We complete this work with a model-dependent evaluation of the domain of validity of the new scaling and its violations. We find that the H ( x ) scaling is valid, model dependently, within $$200~\hbox {GeV}\le \sqrt{s} \le 8$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mn>200</mml:mn><mml:mspace/><mml:mtext>GeV</mml:mtext><mml:mo>≤</mml:mo><mml:msqrt><mml:mi>s</mml:mi></mml:msqrt><mml:mo>≤</mml:mo><mml:mn>8</mml:mn></mml:mrow></mml:math> TeV, with a $$-t$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mo>-</mml:mo><mml:mi>t</mml:mi></mml:mrow></mml:math> range gradually narrowing with decreasing colliding energies.