{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,1]],"date-time":"2026-04-01T12:50:31Z","timestamp":1775047831857,"version":"3.50.1"},"reference-count":91,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2021,1,21]],"date-time":"2021-01-21T00:00:00Z","timestamp":1611187200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>Soft diffraction phenomena in elastic nucleon scattering are considered from the viewpoint of the spin dependence of the interaction potential. Spin-dependent pomeron effects are analyzed for elastic pp scattering, and spin-dependent differential cross sections and spin correlation parameters are calculated. The spin correlation parameter AN is examined on the basis of experimental data from s=4.9 GeV up to 23.4GeV in the framework of the extended High Energy Generalized Structure (HEGS) model. It is shown that the existing experimental data of proton-proton and proton-antiproton elastic scattering at high energy in the region of the diffraction minimum and at large momentum transfer give the support of the existence of the energy-independent part of the hadron spin flip amplitude.<\/jats:p>","DOI":"10.3390\/sym13020164","type":"journal-article","created":{"date-parts":[[2021,1,21]],"date-time":"2021-01-21T09:49:21Z","timestamp":1611222561000},"page":"164","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":9,"title":["Nucleon Structure and Spin Effects in Elastic Hadron Scattering"],"prefix":"10.3390","volume":"13","author":[{"given":"Oleg","family":"Selyugin","sequence":"first","affiliation":[{"name":"Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, Russia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2021,1,21]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"455","DOI":"10.1007\/BF01551457","article-title":"Spin Spin effects in high energy hadron-hadron scattering","volume":"50","author":"Goloskokov","year":"1991","journal-title":"Z. Phys. C"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"223","DOI":"10.1103\/PhysRevLett.71.223","article-title":"Small angle polarization in high-energy p p scattering through nonperturbative chiral symmetry breaking","volume":"71","author":"Anselmino","year":"1993","journal-title":"Phys. Rev. Lett."},{"key":"ref_3","first-page":"356","article-title":"On Spin Effects in Elastic Scattering at Large Momentum Transfers","volume":"30","author":"Edneral","year":"1979","journal-title":"Pisma Zh. Eksp. Teor. Fiz."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"3249","DOI":"10.1103\/PhysRevD.19.3249","article-title":"A New Impact Picture for Low and High-Energy Proton Proton Elastic Scattering","volume":"19","author":"Soffer","year":"1979","journal-title":"Phys. Rev. D"},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"014002","DOI":"10.1103\/PhysRevC.92.014002","article-title":"Null-test signal for T-invariance violation in pd scattering","volume":"92","author":"Uzikov","year":"2015","journal-title":"Phys. Rev. C"},{"key":"ref_6","first-page":"122","article-title":"Vozmojnosti izucheniya narusheniya chetnosti v stolknovenii yader na uskoritel\u2019nom komplexse NICA","volume":"17","author":"Koop","year":"2020","journal-title":"Pisma Zhurnal Fiz. Elem. Chastits Atomnogo Yadra"},{"key":"ref_7","first-page":"215","article-title":"Parity Violation in Proton\u2013Proton Scattering at High Energies","volume":"111","author":"Milstein","year":"2020","journal-title":"Pisma Zh. Eksp. Teor. Fiz."},{"key":"ref_8","first-page":"84","article-title":"The polarization effects in a interaction of hadrons at small momentum transfer","volume":"9","author":"Lapidus","year":"1978","journal-title":"Part. Nucl."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"163","DOI":"10.1103\/PhysRevD.12.163","article-title":"A Model of the Bare Pomeron","volume":"12","author":"Low","year":"1875","journal-title":"Phys. Rev. D"},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"1286","DOI":"10.1103\/PhysRevLett.34.1286","article-title":"Colored Quark Version of Some Hadronic Puzzles","volume":"34","author":"Nussinov","year":"1975","journal-title":"Phys. Rev. Lett."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"405","DOI":"10.1007\/BF01570779","article-title":"Vacuum Structure and Diffraction Scattering","volume":"35","author":"Landshoff","year":"1987","journal-title":"Z. Phys. C"},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"509","DOI":"10.1016\/0550-3213(89)90165-X","article-title":"Gluon Condensate and Pomeron Structure","volume":"311","author":"Donnachie","year":"1989","journal-title":"Nucl. Phys. B"},{"key":"ref_13","doi-asserted-by":"crossref","unstructured":"Jenkovszky, L.L. (2020). Spin and Polarization in High-Energy Hadron-Hadron and Lepton-Hadron Scattering. arXiv.","DOI":"10.3390\/sym12111784"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"239","DOI":"10.1016\/0370-2693(76)90658-4","article-title":"Measurement of Proton Proton Elastic Scattering in Pure Initial Spin States at 11.75-GeV\/c","volume":"63","author":"Abe","year":"1976","journal-title":"Phys. Lett. B"},{"key":"ref_15","unstructured":"Nurushev, S.B. (1989, January 5\u20138). Polarization study. Proceedings of the III Workshop on High Energy Spin Physics, Protvino, Russia."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"3944","DOI":"10.1103\/PhysRevD.51.3944","article-title":"Evaluation of the elastic p p single flip helicity amplitude at low momentum transfer and high-energies","volume":"51","author":"Akchurin","year":"1995","journal-title":"Phys. Rev. D"},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"245","DOI":"10.1016\/0370-2693(94)91038-3","article-title":"What can be learnt from the new UA4\/2 data","volume":"333","author":"Selyugin","year":"1994","journal-title":"Phys. Lett. B"},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"1293","DOI":"10.1143\/PTP.62.1293","article-title":"Spin dependent forces in elastic p p scattering at 6-GEV\/C","volume":"62","author":"Sawamoto","year":"1979","journal-title":"Proc. Theor. Phis."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"357","DOI":"10.1140\/epja\/i2010-11014-1","article-title":"Proton-proton scattering above 3 GeV\/c","volume":"45","author":"Sibirtsev","year":"2010","journal-title":"Eur. Phys. J. A"},{"key":"ref_20","doi-asserted-by":"crossref","unstructured":"Bence, N., Lengyel, A., Tarics, Z., Martynov, E., and Tersimonov, G. (2020). Froissaron and Maximal Odderon with spin-flip in pp and pp\u00af high energy elastic scattering. arXiv.","DOI":"10.1140\/epja\/s10050-021-00563-z"},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"569","DOI":"10.1007\/BF02744999","article-title":"On the Size of the Coulomb-Nuclear Interference Polarization in Hadronic Reactions at High-Energy and Large Momentum Transfer","volume":"19","author":"Bourrely","year":"1977","journal-title":"Lett. Nuovo Cim."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/0550-3213(76)90188-7","article-title":"Hadronic Matter Current Distribution Inside a Polarized Nucleus and a Polarized Hadron","volume":"107","author":"Chou","year":"1976","journal-title":"Nucl. Phys. B"},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"603","DOI":"10.1142\/S0217751X93000242","article-title":"Proton spin within nonperturbative QCD","volume":"8","author":"Dorokhov","year":"1993","journal-title":"Int. J. Mod. Phys. A"},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"2551","DOI":"10.1142\/S0217751X09044255","article-title":"Forward Physics at the LHC; Elastic Scattering","volume":"24","author":"Fiore","year":"2009","journal-title":"Int. J. Mod. Phys. A"},{"key":"ref_25","unstructured":"Giulia, P., and Yogendra, N.S. (2016). Introduction to the physics of the total cross-section at LHC: A Review of Data and Models. arXiv."},{"key":"ref_26","unstructured":"Frankfurt, L., Hyde, C.E., Strikman, M., and Weiss, C. (2007). Rapidity gap survival in the black-disk regime. arXiv."},{"key":"ref_27","first-page":"A441","article-title":"Saturation and non-linear effects in diffractive processes","volume":"54","author":"Cudell","year":"2004","journal-title":"Czech. J. Phys."},{"key":"ref_28","unstructured":"Krish, A.D., and Troshin, S.M. (1996). Small P2\u22a5Elastic Proton-Proton Polarization near 300 GeV. arXiv."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"101","DOI":"10.1002\/prop.2190420202","article-title":"Wave Functions, Evolution Equations and Evolution Kernels from Light-Ray Operators of QCD","volume":"42","author":"Robaschik","year":"1994","journal-title":"Fortschr. Phys."},{"key":"ref_30","first-page":"7114","article-title":"Deeply Virtual Compton Scattering","volume":"D55","author":"Ji","year":"1997","journal-title":"Phys. Rev."},{"key":"ref_31","first-page":"41","article-title":"Scaling Limit of Deeply Virtual Compton Scattering","volume":"B380","author":"Radyushkin","year":"1996","journal-title":"Phys. Lett."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"245","DOI":"10.1016\/j.physletb.2004.05.070","article-title":"Generalized Parton Distributions for large x","volume":"595","author":"Burkardt","year":"2004","journal-title":"Phys. Lett. B"},{"key":"ref_33","first-page":"071503","article-title":"Off-Forward Parton Distributions in 1+1 Dimensional QCD","volume":"D62","author":"Burkardt","year":"2000","journal-title":"Phys. Rev."},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"223","DOI":"10.1007\/s10052-002-1016-9","article-title":"Generalized parton distributions in impact parameter space","volume":"C25","author":"Diehl","year":"2002","journal-title":"Eur. Phys. J."},{"key":"ref_35","unstructured":"Nelipa, N.F. (1970). Introduction to the Theory of Strong Interaction Elementary Particles, ATOMIZDAT."},{"key":"ref_36","unstructured":"Goldberger, M.L., and Watson, K.M. (1964). Collision Theory, John Wiley & Sons, Inc."},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"471","DOI":"10.1140\/epja\/iepja1355","article-title":"Behavior of the hadronic potential at Large Distances","volume":"13","author":"Predazzi","year":"2002","journal-title":"Eur. Phys. J. A"},{"key":"ref_38","first-page":"228","article-title":"Multiple scattering, hadron\u2019s structure and high energy phenomena","volume":"36","author":"Fleming","year":"1966","journal-title":"Ann. Phys."},{"key":"ref_39","unstructured":"Predazzi\n                  E.\n                \n              \n              Dynamical Model for Regge Trajectories. PRINT-69-2891 (Indiana U.) 1969"},{"key":"ref_40","doi-asserted-by":"crossref","first-page":"83","DOI":"10.1140\/epja\/i2005-10275-y","article-title":"Is there exist a hadron spin-flip contribution in the Coulomb-hadron interference at small transfer momenta and high energies","volume":"28","author":"Selyugin","year":"2006","journal-title":"Eur. Phys. J. A"},{"key":"ref_41","first-page":"S75","article-title":"Interactions at large distances and spin effects in nucleon-nucleon and nucleon-nuclei scattering","volume":"35","author":"Cudell","year":"2004","journal-title":"Part. Nucl."},{"key":"ref_42","first-page":"F237","article-title":"Analytic properties of unitarization schemes","volume":"56","author":"Selyugin","year":"2006","journal-title":"Czech. J. Phys."},{"key":"ref_43","doi-asserted-by":"crossref","first-page":"37","DOI":"10.1140\/epjst\/e2008-00773-0","article-title":"Analytic properties of different unitarization schemes","volume":"162","author":"Selyugin","year":"2008","journal-title":"Eur. Phys. J. Spec. Top."},{"key":"ref_44","first-page":"47","article-title":"Small-angle polarization in high-energy p-p scattering through","volume":"65","author":"Bystricky","year":"1993","journal-title":"Rev. Mod. Phys."},{"key":"ref_45","doi-asserted-by":"crossref","first-page":"407","DOI":"10.1103\/PhysRevD.35.407","article-title":"Spin dependent phenomena induced by electromagnetic hadronic interference at high-energies","volume":"35","author":"Buttimore","year":"1987","journal-title":"Phys. Rev. D"},{"key":"ref_46","unstructured":"Nurushev, S.B., Potylitsin, A.P., and Radutsky, G.M. (,  1993). Elastic p p scattering for analyzing of proton polarization in Coulomb nuclear interference region. Proceedings of the V Workshop on HESP, Protvino, Russia."},{"key":"ref_47","first-page":"567","article-title":"[Kogerentnoe rasseyanie gamma-luche\u012d yadrami]\/Koh\u00e4rente Streuung von gamma-Strahlen an Kernen","volume":"7","author":"Akhiezer","year":"1937","journal-title":"Zh. Eksp. Teor. Fiz."},{"key":"ref_48","doi-asserted-by":"crossref","first-page":"190","DOI":"10.1016\/0003-4916(58)90017-4","article-title":"Scattering and polarization of protons by nuclei","volume":"3","author":"Bethe","year":"1958","journal-title":"Ann. Phys."},{"key":"ref_49","doi-asserted-by":"crossref","first-page":"1357","DOI":"10.1103\/PhysRev.152.1357","article-title":"Separation of Strong and Electromagnetic Effects in Charged-Particle Scattering","volume":"152","author":"Rix","year":"1966","journal-title":"Phys. Rev."},{"key":"ref_50","doi-asserted-by":"crossref","first-page":"525","DOI":"10.1016\/0550-3213(67)90188-5","article-title":"Relativistic treatment of structure in the Coulomb interference problem","volume":"2","author":"Locher","year":"1967","journal-title":"Nucl. Phys. B"},{"key":"ref_51","doi-asserted-by":"crossref","first-page":"1413","DOI":"10.1103\/PhysRev.172.1413","article-title":"Coulomb interference in high-energy scattering","volume":"172","author":"West","year":"1968","journal-title":"Phis. Rev."},{"key":"ref_52","doi-asserted-by":"crossref","first-page":"1426","DOI":"10.1103\/PhysRev.162.1426","article-title":"Bethe\u2019s Formula for Coulomb-Nuclear Interference","volume":"162","author":"Islam","year":"1967","journal-title":"Phys. Rev."},{"key":"ref_53","first-page":"253","article-title":"Coulombic\u2014Hadronic Interference in an Eikonal Model","volume":"15","author":"Cahn","year":"1982","journal-title":"Zeitschr. Phys. C"},{"key":"ref_54","doi-asserted-by":"crossref","first-page":"219","DOI":"10.1134\/S0081543820030165","article-title":"Coulomb-Nuclear Interference: The Latest Modification","volume":"309","author":"Petrov","year":"2020","journal-title":"Proc. Steklov Inst. Math."},{"key":"ref_55","doi-asserted-by":"crossref","first-page":"2317","DOI":"10.1142\/S0217732396002307","article-title":"Phase of the Coulomb amplitude in the second Born approximation","volume":"11","author":"Selyugin","year":"1996","journal-title":"Mod. Phys. Lett. A"},{"key":"ref_56","doi-asserted-by":"crossref","first-page":"223","DOI":"10.1142\/S0217732399000262","article-title":"Hadron spin-flip amplitude and slope of differential cross-sections","volume":"14","author":"Selyugin","year":"1999","journal-title":"Mod. Phys. Lett. A"},{"key":"ref_57","doi-asserted-by":"crossref","first-page":"074028","DOI":"10.1103\/PhysRevD.60.074028","article-title":"Coulomb hadron phase factor and spin phenomena in a wide region of transfer momenta","volume":"61","author":"Selyugin","year":"1999","journal-title":"Phys. Rev. D"},{"key":"ref_58","doi-asserted-by":"crossref","first-page":"2256","DOI":"10.1103\/PhysRev.126.2256","article-title":"High-Energy Behavior of Nucleon Electromagnetic Form Factors","volume":"126","author":"Sachs","year":"1962","journal-title":"Phys. Rev."},{"key":"ref_59","doi-asserted-by":"crossref","first-page":"615","DOI":"10.1103\/PhysRev.79.615","article-title":"High Energy Elastic Scattering of Electrons on Protons","volume":"79","author":"Rosenbluth","year":"1950","journal-title":"Phys. Rev."},{"key":"ref_60","doi-asserted-by":"crossref","first-page":"114008","DOI":"10.1103\/PhysRevD.58.114008","article-title":"Nonforward parton densities and soft mechanism for form-factors and wide angle Compton scattering in QCD","volume":"58","author":"Radyushkin","year":"1998","journal-title":"Phys. Rev. D"},{"key":"ref_61","doi-asserted-by":"crossref","first-page":"054013","DOI":"10.1103\/PhysRevD.72.054013","article-title":"Nucleon form-factors from generalized parton distributions","volume":"72","author":"Guidal","year":"2005","journal-title":"Phys. Rev. D"},{"key":"ref_62","doi-asserted-by":"crossref","first-page":"033003","DOI":"10.1103\/PhysRevD.79.033003","article-title":"Generalized Parton Distributions and Description of Electromagnetic and Graviton form factors of nucleon","volume":"79","author":"Selyugin","year":"2009","journal-title":"Phys. Rev. D"},{"key":"ref_63","doi-asserted-by":"crossref","first-page":"093007","DOI":"10.1103\/PhysRevD.89.093007","article-title":"Models of parton distributions and the description of form factors of nucleon","volume":"89","author":"Selyugin","year":"2014","journal-title":"Phys. Rev. D"},{"key":"ref_64","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1140\/epjc\/s2004-02063-4","article-title":"Generalized parton distributions from nucleon form-factor data","volume":"39","author":"Diehl","year":"2005","journal-title":"Eur. Phys. J. C"},{"key":"ref_65","doi-asserted-by":"crossref","first-page":"2073","DOI":"10.1140\/epjc\/s10052-012-2073-3","article-title":"GPDs of the nucleons and elastic scattering at high energies","volume":"72","author":"Selyugin","year":"2012","journal-title":"Eur. Phys. J. C"},{"key":"ref_66","doi-asserted-by":"crossref","first-page":"11303","DOI":"10.1103\/PhysRevD.91.113003","article-title":"Nucleon structure and the high energy interactions","volume":"91","author":"Selyugin","year":"2015","journal-title":"Phys. Rev. D"},{"key":"ref_67","doi-asserted-by":"crossref","first-page":"487","DOI":"10.1016\/0370-2693(72)90559-X","article-title":"Zero pion mass limit in interactions at very high-energies","volume":"40","author":"Anselm","year":"1972","journal-title":"Phys. Lett. B"},{"key":"ref_68","doi-asserted-by":"crossref","first-page":"025003","DOI":"10.1088\/0954-3899\/42\/2\/025003","article-title":"t dependence of the slope of the high energy elastic pp cross section","volume":"42","author":"Khoze","year":"2015","journal-title":"J. Phys. G"},{"key":"ref_69","doi-asserted-by":"crossref","first-page":"034019","DOI":"10.1103\/PhysRevD.97.034019","article-title":"Elastic proton-proton scattering at 13 TeV","volume":"97","author":"Khoze","year":"2018","journal-title":"Phys. Rev. D"},{"key":"ref_70","doi-asserted-by":"crossref","first-page":"54","DOI":"10.1016\/j.nuclphysa.2013.02.120","article-title":"Hard and soft pomerons in the elastic nucleon scattering","volume":"903","author":"Selyugin","year":"2013","journal-title":"Nucl. Phys. A"},{"key":"ref_71","doi-asserted-by":"crossref","first-page":"303","DOI":"10.1134\/S1547477116030195","article-title":"High Energy Hadron Spin Flip Amplitude","volume":"13","author":"Selyugin","year":"2016","journal-title":"Part. Nucl. Lett."},{"key":"ref_72","doi-asserted-by":"crossref","unstructured":"Selyugin, O.V. (2020). Hadron structure and spin effects in elastic hadron scattering at NICA energies. arXiv.","DOI":"10.3390\/sym13020164"},{"key":"ref_73","doi-asserted-by":"crossref","first-page":"054005","DOI":"10.1103\/PhysRevD.89.054005","article-title":"Alternative way to understand the unexpected results of the JLab polarization experiments to measure the Sachs form factors ratio","volume":"89","author":"Galynskii","year":"2014","journal-title":"Phys. Rev. D"},{"key":"ref_74","unstructured":"Whalley, M.R. (1991, January 8\u201312). The HEPDATA database: The DURHAM-RAL database project. Proceedings of the Workshop on Detector and Event Simulation in High-Energy Physics (MC \u201991), Amsterdam, The Netherlands."},{"key":"ref_75","unstructured":"Schubert, K.R. (1979). Elastic and Inelastic Hadron Diffraction at High-Energies. Landolt-Bornstein, New Series, Springer."},{"key":"ref_76","unstructured":"The TOTEM Collaboration (2015). Evidence for non-exponential elastic proton\u2013proton differential cross-section at low |t| and s = 8 TeV by TOTEM. Nucl. Phys. B, 899, 527\u2013546."},{"key":"ref_77","doi-asserted-by":"crossref","first-page":"599","DOI":"10.1016\/j.cpc.2013.08.001","article-title":"Development of the FUMILI minimization package","volume":"185","author":"Sitnik","year":"2014","journal-title":"Comp. Phys. Comm."},{"key":"ref_78","doi-asserted-by":"crossref","first-page":"107202","DOI":"10.1016\/j.cpc.2020.107202","article-title":"The final version of the FUMILIM minimization package","volume":"251","author":"Sitnik","year":"2020","journal-title":"Comp. Phys. Comm."},{"key":"ref_79","first-page":"134","article-title":"FUMILI","volume":"D510","author":"Silin","year":"1983","journal-title":"CERN Program Libr."},{"key":"ref_80","unstructured":"Cudell, J.R., and Selyugin, O.V. (2019). TOTEM data and the real part of the hadron elastic amplitude at 13 TeV. arXiv."},{"key":"ref_81","doi-asserted-by":"crossref","first-page":"1709","DOI":"10.1103\/PhysRevD.17.1709","article-title":"Polarization Parameter for Nucleon-Nucleon Elastic Scattering at 11.8-GeV\/c","volume":"17","author":"Kramer","year":"1978","journal-title":"Phys. Rev. D"},{"key":"ref_82","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/0550-3213(81)90360-6","article-title":"Measurement of the polarization parameter in 24-GeV\/c p p elastic scattering at large momentum transfers","volume":"185","author":"Antille","year":"1981","journal-title":"Nucl. Phys. B"},{"key":"ref_83","doi-asserted-by":"crossref","first-page":"103","DOI":"10.1016\/0370-2693(76)90574-8","article-title":"Polarization Measurements in pi+ p, K+ p and p p Elastic Scattering at 45-GeV\/c and Comparison with Regge Phenomenology","volume":"61","author":"Gaidot","year":"1976","journal-title":"Phys. Lett. B"},{"key":"ref_84","first-page":"553","article-title":"Polarization parameters and angular distributions in pi+- p elastic scattering at 100-gev\/c and in p p elastic scattering at 100 and 300 GeV\/c","volume":"22","author":"Kline","year":"1980","journal-title":"Phys. Lett. B"},{"key":"ref_85","doi-asserted-by":"crossref","first-page":"309","DOI":"10.1016\/0370-2693(81)90895-9","article-title":"Measurement of the differential cross-section and of the polarization parameter in p p elastic scattering at 200-GeV\/c","volume":"105","author":"Fidecaro","year":"1980","journal-title":"Phys. Lett. B"},{"key":"ref_86","doi-asserted-by":"crossref","first-page":"134870","DOI":"10.1016\/j.physletb.2019.134870","article-title":"New feature in the differential cross sections at 13 TeV be measured at the LHC","volume":"797","author":"Selyugin","year":"2019","journal-title":"Phys. Lett. B"},{"key":"ref_87","doi-asserted-by":"crossref","unstructured":"Selyugin, O.V. (2020). Anomaly in the differential cross sections at 13 TeV. arXiv.","DOI":"10.1016\/j.physletb.2019.134870"},{"key":"ref_88","doi-asserted-by":"crossref","first-page":"116","DOI":"10.1016\/j.nuclphysa.2017.01.002","article-title":"The energy dependence of the diffraction minimum in the elastic scattering and new LHC data","volume":"959","author":"Selyugin","year":"2017","journal-title":"Nucl. Phys. A"},{"key":"ref_89","doi-asserted-by":"crossref","first-page":"733","DOI":"10.1103\/PhysRevLett.39.733","article-title":"Spin-spin interactions in high-transverse momentum elastic p-p scattering","volume":"39","author":"Ratner","year":"1977","journal-title":"Phys. Rev. Lett."},{"key":"ref_90","doi-asserted-by":"crossref","first-page":"507","DOI":"10.1103\/PhysRevLett.57.507","article-title":"Energy Dependence of Spin Effects in pp (Polarized) to pp (Polarized)","volume":"57","author":"Court","year":"1986","journal-title":"Phys. Rev. Lett."},{"key":"ref_91","doi-asserted-by":"crossref","first-page":"3241","DOI":"10.1103\/PhysRevLett.65.3241","article-title":"High precision measurement of A in large P(T)**2 spin polarized 24-GeV\/c proton proton elastic scattering","volume":"65","author":"Crabb","year":"1990","journal-title":"Phys. Rev. Lett."}],"container-title":["Symmetry"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2073-8994\/13\/2\/164\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T05:13:33Z","timestamp":1760159613000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2073-8994\/13\/2\/164"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,1,21]]},"references-count":91,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2021,2]]}},"alternative-id":["sym13020164"],"URL":"https:\/\/doi.org\/10.3390\/sym13020164","relation":{},"ISSN":["2073-8994"],"issn-type":[{"value":"2073-8994","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,1,21]]}}}