- Open Access
Exclusive production in proton-proton collisions at energies available at the GSI Facility for Antiproton and Ion Research
Phys. Rev. C 112, 015201 – Published 1 July, 2025
DOI: https://doi.org/10.1103/73rr-shyt
Abstract
The cross sections for the reaction are evaluated at energies relevant for the HADES, PANDA, and SIS100 experiments at GSI-FAIR (Facility for Antiproton and Ion Research). Consideration includes the -bremsstrahlung mechanism involving intermediate proton exchange via the , , , and exchanges and the mechanism involving the nucleon resonances , , , and excited via the pseudoscalar- and/or vector-meson exchanges, depending on the model. The role of the - and -fusion processes with the Reggeized vector-meson exchanges is also discussed. The calculation is done in an effective Lagrangian approach. To determine the parameters of the model, the and reactions are studied and the results are then compared with the Crystal Ball and CLAS data. For the reaction, the model results are compared with the energy dependence of the cross section measured far from the threshold and with the differential distributions and measured by the DISTO Collaboration. The comparison shows that the resonance is the dominant contribution and that other contributions are also important due to interference effects. Assuming that the exchange is the dominant resonant excitation process, the model is able to describe the available data, e.g., it reproduces the shape of the angular distributions measured by the DISTO Collaboration. Predictions are given for the HADES experiment at center-of-mass energy of GeV, which can be verified in the near future, and for planned PANDA and SIS100 experiments at higher energies.
Physics Subject Headings (PhySH)
Article Text
References (115)
- L. Gan, B. Kubis, E. Passemar, and S. Tulin, Precision tests of fundamental physics with and mesons, Phys. Rep. 945, 1 (2022).
- J. F. Germond and C. Wilkin, The reaction near threshold, Nucl. Phys. A 518, 308 (1990).
- J. M. Laget, F. Wellers, and J. F. Lecolley, -meson production in nucleon-nucleon collisions, Phys. Lett. B 257, 254 (1991).
- T. Vetter, A. Engel, T. Biró, and U. Mosel, production in nucleon-nucleon collisions, Phys. Lett. B 263, 153 (1991).
- M. Batinic, A. Svarc, and T. S. H. Lee, Near threshold production in proton-proton collisions, Phys. Scr. 56, 321 (1997).
- E. Gedalin, A. Moalem, and L. Razdolskaja, A covariant OBE model for production in collisions, Nucl. Phys. A 634, 368 (1998).
- A. B. Santra and B. K. Jain, production in proton proton collisions, Nucl. Phys. A 634, 309 (1998).
- H. Calén et al., Higher partial waves in near threshold, Phys. Lett. B 458, 190 (1999).
- G. Fäldt and C. Wilkin, The production of mesons in nucleon-nucleon collisions near threshold, Phys. Scr. 64, 427 (2001).
- V. Baru, A. M. Gasparyan, J. Haidenbauer, C. Hanhart, A. E. Kudryavtsev, and J. Speth, Production of mesons in nucleon-nucleon collisions, Phys. Rev. C 67, 024002 (2003).
- K. Nakayama, J. Speth, and T.-S. H. Lee, meson production in collisions, Phys. Rev. C 65, 045210 (2002).
- K. Nakayama, J. Haidenbauer, C. Hanhart, and J. Speth, Analysis of the reaction near threshold, Phys. Rev. C 68, 045201 (2003).
- A. Fix and H. Arenhövel, Final state interaction in the reaction , Phys. Rev. C 69, 014001 (2004).
- A. Deloff, Phenomenology of reaction close to threshold, Phys. Rev. C 69, 035206 (2004).
- S. Ceci, A. Svarc, and B. Zauner, The importance of exchange in the process up to GeV, Phys. Scr. 73, 663 (2006).
- R. Czyżykiewicz et al., Mechanism of near-threshold production of the meson, Phys. Rev. Lett. 98, 122003 (2007).
- P. Moskal et al., Near threshold production of the meson via the quasifree reaction, Phys. Rev. C 79, 015208 (2009).
- L. P. Kaptari and B. Kämpfer, Di-electrons from -meson Dalitz decay in proton-proton collisions, Eur. Phys. J. A 33, 157 (2007).
- R. Shyam, -meson production in nucleon-nucleon collisions within an effective Lagrangian model, Phys. Rev. C 75, 055201 (2007).
- K. Nakayama, Y. Oh, and H. Haberzettl, Combined analysis of meson hadro- and photoproduction off nucleons, J. Korean Phy. Soc. 59, 224 (2011).
- P. Klaja et al., Measurement of the invariant mass distributions for the reaction at excess energy of Q = 16.4 MeV, Phys. Lett. B 684, 11 (2010).
- Q.-F. Lü and D.-M. Li, Near-threshold production in collisions, Chin. Phys. C 39, 113104 (2015).
- B. Krusche and C. Wilkin, Production of and mesons on nucleons and nuclei, Prog. Part. Nucl. Phys. 80, 43 (2015).
- F. Balestra et al. (DISTO Collaboration), Exclusive production in proton-proton reactions, Phys. Rev. C 69, 064003 (2004).
- K. Teilab (HADES Collaboration), and meson production in reactions at = 3.5 GeV, Int. J. Mod. Phys. A 26, 694 (2011).
- K. Teilab, The production of and mesons in 3.5 GeV p+p interaction in HADES, Ph.D. thesis, Frankfurt University, 2011, available at https://hades.gsi.de/node/4.
- G. Agakishiev et al. (HADES Collaboration), Study of exclusive one-pion and one-eta production using hadron and dielectron channels in reactions at kinetic beam energies of 1.25 GeV and 2.2 GeV with HADES, Eur. Phys. J. A 48, 74 (2012).
- S. Treliński, Exclusive production of and in at 4.5 GeV with HADES, presented at Workshop at 1 GeV Scale: From Mesons to Axions, September 19–20, 2024, Jagiellonian Univeristy, Kraków, Poland, available at https://indico.meson.if.uj.edu.pl/event/5/contributions/429/attachments/311/569/Workshop-5.pdf.
- S. Treliński and I. Ciepał, Application of kinematic fit with missing particle constraint in proton-proton collisions with HADES, Acta Phys. Pol. B Proc. Suppl. 18, 4 (2025).
- P. Lebiedowicz, O. Nachtmann, P. Salabura, and A. Szczurek, Exclusive meson production for energy ranges available at the GSI-FAIR with HADES and PANDA, Phys. Rev. D 104, 034031 (2021).
- QCD at FAIR Workshop 2024, https://indico.gsi.de/event/20301/.
- N. I. Kochelev, T. Morii, and A. V. Vinnikov, Pomeron fusion and central and meson production, Phys. Lett. B 457, 202 (1999).
- N. I. Kochelev, T. Morii, B. L. Reznik, and A. V. Vinnikov, The role of secondary Reggeons in central meson production, Eur. Phys. J. A 8, 405 (2000).
- P. Lebiedowicz, O. Nachtmann, and A. Szczurek, Exclusive central diffractive production of scalar and pseudoscalar mesons; tensorial vs. vectorial pomeron, Ann. Phys. 344, 301 (2014).
- P. Lebiedowicz, O. Nachtmann, and A. Szczurek, Central exclusive production of and mesons in diffractive proton-proton collisions at the LHC within the tensor-pomeron approach, arXiv:2506.04846.
- C. Ewerz, M. Maniatis, and O. Nachtmann, A model for soft high-energy scattering: Tensor pomeron and vector odderon, Ann. Phys. 342, 31 (2014).
- M. J. Anderson, S. K. Domokos, J. A. Harvey, and N. Mann, Central production of and via double Pomeron exchange in the Sakai-Sugimoto model, Phys. Rev. D 90, 086010 (2014).
- M. J. Anderson, S. Domokos, and N. Mann, Central production of via double Pomeron exchange and double Reggeon exchange in the Sakai-Sugimoto model, Phys. Rev. D 96, 046002 (2017).
- P. Kroll and K. Passek-Kumerički, Two-gluon components of the and mesons to leading-twist accuracy, Phys. Rev. D 67, 054017 (2003).
- S. D. Bass and P. Moskal, and mesons with connection to anomalous glue, Rev. Mod. Phys. 91, 015003 (2019).
- D. Bellenger, S. Deutsch, D. Luckey, L. S. Osborne, and R. Schwitters, Photoproduction of mesons at 4 GeV, Phys. Rev. Lett. 21, 1205 (1968).
- W. Braunschweig, W. Erlewein, H. Frese, K. Luebelsmeyer, H. Meyer-Wachsmuth, D. Schmitz, A. Schultz, Von Dratzig, and G. Wessels, Single photoproduction of -mesons on hydrogen in the forward direction at 4 and 6 GeV, Phys. Lett. B 33, 236 (1970).
- J. Dewire, B. Gittelman, R. Loe, E. C. Loh, D. J. Ritchie, and R. A. Lewis, Photoproduction of eta mesons from hydrogen, Phys. Lett. B 37, 326 (1971).
- M. Dugger et al. (CLAS Collaboration), Photoproduction on the proton for photon energies from 0.75 to 1.95 GeV, Phys. Rev. Lett. 89, 222002 (2002); 89, 249904(E) (2002).
- M. Williams et al. (CLAS Collaboration), Differential cross sections for the reactions and , Phys. Rev. C 80, 045213 (2009).
- V. Credé et al. (CBELSA/TAPS Collaboration), Photoproduction of and mesons off protons, Phys. Rev. C 80, 055202 (2009).
- E. F. McNicoll et al. (Crystal Ball Collaboration at MAMI), Experimental study of the reaction with the Crystal Ball detector at the Mainz Microtron (MAMI-C), Phys. Rev. C 82, 035208 (2010); 84, 029901(E) (2011).
- T. Hu et al. (CLAS Collaboration), Photoproduction of mesons off the proton for GeV using CLAS at Jefferson Laboratory, Phys. Rev. C 102, 065203 (2020).
- W.-T. Chiang, S. N. Yang, L. Tiator, M. Vanderhaeghen, and D. Drechsel, Reggeized model for and photoproduction, Phys. Rev. C 68, 045202 (2003).
- X.-H. Zhong and Q. Zhao, photoproduction on quasifree nucleons in the chiral quark model, Phys. Rev. C 84, 045207 (2011).
- J. Nys, V. Mathieu, C. Fernández-Ramírez, A. N. Hiller Blin, A. Jackura, M. Mikhasenko, A. Pilloni, A. P. Szczepaniak, G. Fox, and J. Ryckebusch (JPAC Collaboration), Finite-energy sum rules in eta photoproduction off a nucleon, Phys. Rev. D 95, 034014 (2017).
- V. L. Kashevarov, M. Ostrick, and L. Tiator, Regge phenomenology in and photoproduction, Phys. Rev. C 96, 035207 (2017).
- L. Tiator, M. Gorchtein, V. L. Kashevarov, K. Nikonov, M. Ostrick, M. Hadžimehmedović, R. Omerović, H. Osmanović, J. Stahov, and A. Švarc, Eta and etaprime photoproduction on the nucleon with the isobar model EtaMAID2018, Eur. Phys. J. A 54, 210 (2018).
- A. Sibirtsev and W. Cassing, Production in proton-proton collisions near threshold, Eur. Phys. J. A 2, 333 (1998).
- C. Hanhart and K. Nakayama, On the treatment of interaction effects in meson production in collisions, Phys. Lett. B 454, 176 (1999).
- K. Nakayama, A. Szczurek, C. Hanhart, J. Haidenbauer, and J. Speth, Production of mesons in proton-proton collisions, Phys. Rev. C 57, 1580 (1998).
- L. P. Kaptari and B. Kämpfer, Combined analysis of near-threshold production of and mesons in nucleon-nucleon collisions within an effective meson-nucleon model, Eur. Phys. J. A 23, 291 (2005).
- R. Shyam and H. Lenske, Reaction within an effective Lagrangian model, Phys. Rev. D 90, 014017 (2014).
- R. Shyam, Charmed-baryon production in antiproton-proton collisions within an effective Lagrangian model, Phys. Rev. D 96, 116019 (2017).
- K. Nakayama, H. F. Arellano, J. W. Durso, and J. Speth, meson production in proton-proton collisions, Phys. Rev. C 61, 024001 (1999).
- R. Machleidt, K. Holinde, and C. Elster, The bonn meson-exchange model for the nucleon–nucleon interaction, Phys. Rep. 149, 1 (1987).
- M. M. Brisudová, L. Burakovsky, and T. Goldman, Effective functional form of Regge trajectories, Phys. Rev. D 61, 054013 (2000).
- K. Nakayama, J. W. Durso, J. Haidenbauer, C. Hanhart, and J. Speth, -meson production in proton-proton collisions, Phys. Rev. C 60, 055209 (1999).
- Repository for publication-related High-Energy Physics data, https://www.hepdata.net/.
- A. Baldini, V. Flaminio, W. G. Moorhead, and D. R. O. Morrison, Total Cross-Sections for Reactions of High Energy Particles, Landolt-Börnstein, Group I: Nuclear and Particle Physics Vol. 12 (Springer-Verlag, Berlin, 1988).
- E. Pickup, D. K. Robinson, and E. O. Salant, Three-pion mass distributions and the meson, Phys. Rev. Lett. 8, 329 (1962).
- G. Alexander, O. Benary, G. Czapek, B. Haber, N. Kidron, B. Reuter, A. Shapira, E. Simopoulou, and G. Yekutieli, Proton-proton interactions at 5.5 GeV/, Phys. Rev. 154, 1284 (1967).
- J. Le Guyader, M. Sené, J. Ginestet, D. Manesse, T. Ha Anh, and D. Vignaud, Experimental study of four-prong events in proton proton interactions at 13.1 GeV/, Nucl. Phys. B 35, 573 (1971).
- E. Chiavassa et al., meson production in and collisions, Phys. Lett. B 337, 192 (1994).
- H. Calén et al., The reaction near the kinematical threshold, Phys. Lett. B 366, 39 (1996).
- F. Hibou et al., Comparison of and production in the reactions near threshold, Phys. Lett. B 438, 41 (1998).
- P. Moskal et al., Invariant-mass distributions for the reaction at Q = 10 MeV, Eur. Phys. J. A 43, 131 (2010).
- S. Navas et al. (Particle Data Group), Review of particle physics, Phys. Rev. D 110, 030001 (2024).
- H. W. Atherton et al., The reaction at 5.7 GeV/ and a enhancement at 1.81 GeV, Nuovo Cimento A 30, 505 (1975).
- G. W. Van Apeldoorn et al., Final states with a neutral meson and a or pair in interactions at 7.2 GeV/, Nucl. Phys. B 133, 245 (1978).
- F. Balestra et al. (DISTO Collaboration), and meson production in reactions at , Phys. Rev. C 63, 024004 (2001).
- M. Benmerrouche, N. C. Mukhopadhyay, and J. F. Zhang, Effective Lagrangian approach to the theory of photoproduction in the region, Phys. Rev. D 51, 3237 (1995).
- R. Machleidt, High-precision, charge-dependent Bonn nucleon-nucleon potential, Phys. Rev. C 63, 024001 (2001).
- C. Wang, J. Hu, Y. Zhang, and H. Shen, The charge-dependent Bonn potentials with pseudovector pion-nucleon coupling, Chin. Phys. C 43, 114107 (2019).
- Y. Li, M. K. Liou, and W. M. Schreiber, Proton-proton bremsstrahlung calculation: Studies of the off-shell proton electromagnetic vertex and of pseudoscalar vs pseudovector couplings, Phys. Rev. C 57, 507 (1998).
- L. Tiator, C. Bennhold, and S. S. Kamalov, The coupling in eta photoproduction, Nucl. Phys. A 580, 455 (1994).
- M. Kirchbach and L. Tiator, On the coupling of the meson to the nucleon, Nucl. Phys. A 604, 385 (1996).
- Q.-F. Lü, X.-H. Liu, J.-J. Xie, and D.-M. Li, The near threshold reaction in an effective Lagrangian approach, Mod. Phys. Lett. A 29, 1450012 (2014).
- T. Feuster and U. Mosel, Photon- and meson-induced reactions on the nucleon, Phys. Rev. C 59, 460 (1999).
- T. Feuster and U. Mosel, Unitary model for meson-nucleon scattering, Phys. Rev. C 58, 457 (1998).
- D. Drechsel, O. Hanstein, S. S. Kamalov, and L. Tiator, A unitary isobar model for pion photo- and electroproduction on the proton up to 1 GeV, Nucl. Phys. A 645, 145 (1999).
- R. Shyam, reaction in an effective Lagrangian model, Phys. Rev. C 60, 055213 (1999).
- K. Nakayama and H. Haberzettl, Analyzing photoproduction data on the proton at energies of GeV, Phys. Rev. C 73, 045211 (2006).
- T. Vrancx, L. De Cruz, J. Ryckebusch, and P. Vancraeyveld, Consistent interactions for high-spin fermion fields, Phys. Rev. C 84, 045201 (2011).
- J. Müller et al. (CBELSA/TAPS Collaboration), New data on with polarized photons and protons and their implications for decays, Phys. Lett. B 803, 135323 (2020).
- Z. Ouyang, J.-J. Xie, B.-S. Zou, and H.-S. Xu, Theoretical study on reaction at medium energies, Int. J. Mod. Phys. E 18, 281 (2009).
- F. Bulos et al., Charge exchange and production of mesons and multiple neutral pions in reactions between 654 and 1247 MeV/, Phys. Rev. 187, 1827 (1969).
- W. Deinet, H. Mueller, D. Schmitt, H. M. Staudenmaier, S. Buniatov, and E. Zavattini, Differential and total cross-sections for from 718 to 1050 MeV/, Nucl. Phys. B 11, 495 (1969).
- W. B. Richards et al., Production and neutral decay of the meson in collisions, Phys. Rev. D 1, 10 (1970).
- J. E. Nelson, A high statistics study of the reaction between 1.0 and 2.4 GeV/, Ph.D. thesis, California University–Berkeley, 1972, Report No. LBL-1019 (unpublished).
- J. Feltesse, R. Ayed, P. Bareyre, P. Borgeaud, M. David, J. Ernwein, Y. Lemoigne, and G. Villet, The reaction up to = 450 MeV/: experimental results and partial-wave analysis, Nucl. Phys. B 93, 242 (1975).
- R. B. Chaffee, A study of the reaction in the region of the , thesis, Lawrence Berkeley Laboratory, 1975, Report No. LBL-1060 (unpublished), https://www.osti.gov/servlets/purl/4237887/.
- N. C. Debenham, D. M. Binnie, L. Camilleri, J. Carr, A. Duane, D. A. Garbutt, W. G. Jones, J. Keyne, I. Siotis, and J. G. Mcewen, Backward reactions between 0.6 and 1.0 GeV/, Phys. Rev. D 12, 2545 (1975).
- R. M. Brown et al., Differential cross sections for the reaction between 724 and 2723 MeV/, Nucl. Phys. B 153, 89 (1979).
- H. R. Crouch et al., Cross sections for ( = 1 to 5) and for incident pion momenta between 1.3 and 3.8 GeV/, Phys. Rev. D 21, 3023 (1980).
- S. Prakhov et al. (Crystal Ball Collaboration), Measurement of from threshold to = 747 MeV/, Phys. Rev. C 72, 015203 (2005).
- M. Clajus and B. M. K. Nefkens, The data base, Newsletter 7, 76 (1992).
- J. Durand, B. Juliá-Dáaz, T.-S. H. Lee, B. Saghai, and T. Sato, Coupled-channels study of the process, Phys. Rev. C 78, 025204 (2008).
- M. Shrestha and D. M. M. Manley, Partial-wave analysis of the and reactions, Phys. Rev. C 86, 045204 (2012).
- X.-H. Zhong, Q. Zhao, J. He, and B. Saghai, Study of at low energies in a chiral constituent quark model, Phys. Rev. C 76, 065205 (2007).
- J. He and B. Saghai, Combined study of and in a chiral constituent quark approach, Phys. Rev. C 80, 015207 (2009).
- D. Rönchen, M. Doring, F. Huang, H. Haberzettl, J. Haidenbauer, C. Hanhart, S. Krewald, U. G. Meissner, and K. Nakayama, Coupled-channel dynamics in the reactions , , , , Eur. Phys. J. A 49, 44 (2013).
- L.-Y. Xiao, F. Ouyang, K.-L. Wang, and X.-H. Zhong, Combined analysis of the , reactions in a chiral quark model, Phys. Rev. C 94, 035202 (2016).
- F. Huang, M. Doring, H. Haberzettl, J. Haidenbauer, C. Hanhart, S. Krewald, U. G. Meissner, and K. Nakayama, Pion photoproduction in a dynamical coupled-channels model, Phys. Rev. C 85, 054003 (2012).
- J.-J. Xie, C. Wilkin, and B.-S. Zou, Coupling constant for , Phys. Rev. C 77, 058202 (2008).
- D. O. Riska and G. E. Brown, Nucleon resonance transition couplings to vector mesons, Nucl. Phys. A 679, 577 (2001).
- M. T. Peña, H. Garcilazo, and D. O. Riska, The reaction and the eta-nucleon and nucleon-nucleon interactions, Nucl. Phys. A 683, 322 (2001).
- B. C. Hunt and D. M. Manley, Updated determination of resonance parameters using a unitary, multichannel formalism, Phys. Rev. C 99, 055205 (2019).
- R. A. Kycia, P. Lebiedowicz, and A. Szczurek, DECAY: A Monte Carlo library for the decay of a particle with root compatibility, Commun. Comput. Phys. 30, 942 (2021).
- J. Adamczewski-Musch et al. (HADES Collaboration), Two-pion production in the second resonance region in collisions with the High-Acceptance Di-Electron Spectrometer (HADES), Phys. Rev. C 102, 024001 (2020).