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arXiv · 2309.16622

Results on Elastic Cross Sections in Proton-Proton Collisions at $\sqrt{s} = 510$ GeV with the STAR Detector at RHIC

STAR Collaboration·M. I. Abdulhamid·B. E. Aboona·J. Adam·L. Adamczyk·J. R. Adams·I. Aggarwal·M. M. Aggarwal·Z. Ahammed·E. C. Aschenauer·S. Aslam·J. Atchison·V. Bairathi·J. G. Ball Cap·K. Barish·R. Bellwied·P. Bhagat·A. Bhasin·S. Bhatta·S. R. Bhosale·J. Bielcik·J. Bielcikova·J. D. Brandenburg·C. Broodo·X. Z. Cai·H. Caines·M. Calderón de la Barca Sánchez·D. Cebra·J. Ceska·I. Chakaberia·P. Chaloupka·B. K. Chan·Z. Chang·A. Chatterjee·D. Chen·J. Chen·J. H. Chen·Z. Chen·J. Cheng·Y. Cheng·S. Choudhury·W. Christie·X. Chu·H. J. Crawford·M. Csanád·G. Dale-Gau·A. Das·I. M. Deppner·A. Dhamija·P. Dixit·X. Dong·J. L. Drachenberg·E. Duckworth·J. C. Dunlop·J. Engelage·G. Eppley·S. Esumi·O. Evdokimov·O. Eyser·R. Fatemi·S. Fazio·C. J. Feng·Y. Feng·E. Finch·Y. Fisyak·F. A. Flor·C. Fu·C. A. Gagliardi·T. Galatyuk·T. Gao·F. Geurts·N. Ghimire·A. Gibson·K. Gopal·X. Gou·D. Grosnick·A. Gupta·W. Guryn·A. Hamed·Y. Han·S. Harabasz·M. D. Harasty·J. W. Harris·H. Harrison-Smith·W. He·X. H. He·Y. He·N. Herrmann·L. Holub·C. Hu·Q. Hu·Y. Hu·H. Huang·H. Z. Huang·S. L. Huang·T. Huang·X. Huang·Y. Huang·T. J. Humanic·M. Isshiki
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Abstract

We report results on an elastic cross section measurement in proton-proton collisions at a center-of-mass energy $\sqrt{s}=510$ 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 $0.23 \leq -t \leq 0.67$ GeV$^2$. 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 $B(t)$. The $t$ dependence of $B$ is 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 $\mathrm{d}\sigma/\mathrm{dt}$ agrees well with the results obtained at $\sqrt{s} = 546$ GeV for proton--antiproton collisions by the UA4 experiment. We also determine that the integrated elastic cross section within the STAR $t$-range is $\sigma^\mathrm{fid}_\mathrm{el} = 462.1 \pm 0.9 (\mathrm{stat.}) \pm 1.1 (\mathrm {syst.}) \pm 11.6 (\mathrm {scale})$~$\mu\mathrm{b}$.

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STAR Collaboration, M. I. Abdulhamid, B. E. Aboona, J. Adam, L. Adamczyk, J. R. Adams, I. Aggarwal, M. M. Aggarwal, Z. Ahammed, E. C. Aschenauer, S. Aslam, J. Atchison, V. Bairathi, J. G. Ball Cap, K. Barish, R. Bellwied, P. Bhagat, A. Bhasin, S. Bhatta, S. R. Bhosale, J. Bielcik, J. Bielcikova, J. D. Brandenburg, C. Broodo, X. Z. Cai, H. Caines, M. Calderón de la Barca Sánchez, D. Cebra, J. Ceska, I. Chakaberia, P. Chaloupka, B. K. Chan, Z. Chang, A. Chatterjee, D. Chen, J. Chen, J. H. Chen, Z. Chen, J. Cheng, Y. Cheng, S. Choudhury, W. Christie, X. Chu, H. J. Crawford, M. Csanád, G. Dale-Gau, A. Das, I. M. Deppner, A. Dhamija, P. Dixit, X. Dong, J. L. Drachenberg, E. Duckworth, J. C. Dunlop, J. Engelage, G. Eppley, S. Esumi, O. Evdokimov, O. Eyser, R. Fatemi, S. Fazio, C. J. Feng, Y. Feng, E. Finch, Y. Fisyak, F. A. Flor, C. Fu, C. A. Gagliardi, T. Galatyuk, T. Gao, F. Geurts, N. Ghimire, A. Gibson, K. Gopal, X. Gou, D. Grosnick, A. Gupta, W. Guryn, A. Hamed, Y. Han, S. Harabasz, M. D. Harasty, J. W. Harris, H. Harrison-Smith, W. He, X. H. He, Y. He, N. Herrmann, L. Holub, C. Hu, Q. Hu, Y. Hu, H. Huang, H. Z. Huang, S. L. Huang, T. Huang, X. Huang, Y. Huang, T. J. Humanic, M. Isshiki. 2023-09-28. Results on Elastic Cross Sections in Proton-Proton Collisions at $\sqrt{s} = 510$ GeV with the STAR Detector at RHIC. https://doi.org/10.1016/j.physletb.2024.138601

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