Results on Elastic Cross Sections in Proton-Proton Collisions at √s=510 GeV with the STAR Detector at RHIC

Wve report results on an elastic cross section measurement in proton-proton collisions at a center-of-mass energy root s = 510 GeV, obtained with the Roman Pot setup of the STAR experiment at the Relativistic Heavy Ion Collider (RHIC). The elastic differential cross section is measured in the four-momentum transfer squared range 0.23 <= -t <= 0.67 GeV2. This is the only measurement of the proton-proton elastic cross section in this t range for collision energies above the Intersecting Storage Rings (ISR) and below the Large Hadron Collider (LHC) colliders. We find that a constant slope B does not fit the data in the aforementioned t range, and we obtain a much better fit using a second-order polynomial for B(t). This is the first measurement below the LHC energies for which the non-constant behavior B(t) is observed. The t dependence of B is also determined using six subintervals of t in the STAR measured t range, and is in good agreement with the phenomenological models. The measured elastic differential cross section d sigma/dt agrees well with the results obtained at root s = 540 GeV for proton-antiproton collisions by the UA4 experiment. We also determine that the integrated elastic cross section within the STAR t-range is sigma(fid) (el) = 462.1 +/- 0.9(stat.) +/- 1.1(syst.) +/- 11.6(scale) mu b.