A Fit to the Available e+e− → Cross Section Data Nearby Production Threshold by Means of a Strong Correction to the Coulomb Enhancement Factor
Abstract
:1. Introduction
2. The Coulomb Factor
The Strong Coulomb-Like Correction
3. The Fit to Cross Section
3.1. The Non-Resonant Component
3.2. Adding the Resonant Component
4. Summary
Author Contributions
Funding
Acknowledgments
Conflicts of Interest
References
- Ablikim, M. et al. [BESIII Collaboration] Measurement of proton electromagnetic form factors in the time-link region using initial stare radiation at BESIII. Phys. Lett. B 2021, 817, 136328. [Google Scholar] [CrossRef]
- Ablikim, M. et al. [BESIII Collaboration] New Features the Electromagnetic Structure of the Neutron. arXiv 2021, arXiv:2103.12486. [Google Scholar]
- Ablikim, M. et al. [BESIII Collaboration] Observation of a cross-section enhancement near mass threshold in e+e− → . Phys. Rev. D 2018, 97, 032013. [Google Scholar] [CrossRef] [Green Version]
- Ablikim, M. et al. [BESIII Collaboration] Measurement of Σ+ and Σ− time-like electromagnetic form factors for center-of-mass energies from 2.3864 to 3.0200 GeV. Phys. Lett. B 2021, 814, 136110. [Google Scholar] [CrossRef]
- Ablikim, M. et al. [BESIII Collaboration] Measurement of cross section for e+e− → Ξ−Ξ¯+ near threshold at BESIII. Phys. Rev. D 2021, 103, 012005. [Google Scholar] [CrossRef]
- Pakhlova, G. et al. [Belle Collaboration] Observation of a near-threshold enhancement in the e+e− → cross section using initial-state radiation. Phys. Rev. Lett. 2008, 101, 172001. [Google Scholar] [CrossRef] [PubMed] [Green Version]
- Wang, X.L. et al. [BELLE Collaboration] Measurement of e+e− → π+π−ψ (2S) via Initial State Radiation at Belle. Phys. Rev. D 2015, 91, 112007. [Google Scholar] [CrossRef]
- Lees, J.P. et al. [BaBar Collaboration] Study of the reaction e+e− → ψ (2S)π+π− via initial-state radiation at BaBar. Phys. Rev. D 2014, 89, 111103. [Google Scholar] [CrossRef] [Green Version]
- Godfrey, S.; Isgur, N. Mesons in a Relativized Quark Model with Chromodynamics. Phys. Rev. D 1985, 32, 189–231. [Google Scholar] [CrossRef]
- Brambilla, N.; Eidelman, S.; Hanhart, C.; Nefediev, A.; Shen, C.-P.; Thomas, C.E.; Vairo, A.; Yuan, C.-Z. The XYZ states: Experimental and theoretical status and perspective. Phys. Rep. 2020, 873, 1–154. [Google Scholar] [CrossRef]
- Ablikim, M. et al. [BESIII Collaboration] Precision measurement of e+e− → cross section near threshold. Phys. Rev. Lett. 2018, 120, 132001. [Google Scholar]
- Dai, L.-Y.; Haidenbauer, J.; Meissner, U.-G. Re-examining the X(4360) resonance in the reaction e+e−→ . Phys. Rev. D 2017, 96, 116001. [Google Scholar] [CrossRef] [Green Version]
- Epelbaum, E.; Hammer, H.-W.; Meissner, U.-G. Modern Theory of Nuclear Forces. Rev. Mod. Phys. 2009, 81, 1773–1825. [Google Scholar] [CrossRef]
- Epelbaum, E.; Krebs, H.; Meissner, U.-G. Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order. Eur. Phys. J. A 2015, 51, 53. [Google Scholar] [CrossRef] [Green Version]
- Landau, L.; Lifschitz, E. Course of Theoretical Physics, 2nd ed.; Pergamon Press: London, UK, 1982; Volume 4. [Google Scholar]
- Sakharov, A.D. Interaction of Electron and Positron in Pair Production. Zh. Eksp. Teor. Fiz 1948, 18, 631–635. [Google Scholar]
- Ablikim, M. et al. [BESIII Collaboration] Measurement of proton electromagnetic form factors in e+e− → in the energy region 2.00–3.08 GeV. Phys. Rev. Lett. 2020, 124, 042001. [Google Scholar] [CrossRef] [Green Version]
- Ablikim, M. et al. [BESIII Collaboration] Study of the process e+e− → via initial state radiation at BESIII. Phys. Rev. D 2019, 99, 092002. [Google Scholar] [CrossRef] [Green Version]
- Solodov, E.P. et al. [CMD-3 Collaboration] The and multihadron production at the threshold at VEPP2000. EPJ Web Conf. 2019, 212, 07002. [Google Scholar] [CrossRef]
- Aubert, B. et al. [BaBar Collaboration] A Study of e+e− → using initial state radiation with BABAR. Phys. Rev. D 2006, 73, 012005. [Google Scholar] [CrossRef] [Green Version]
- Lees, J.P. et al. [BaBar Collaboration] Study of e+e− → via initial-state radiation at BABAR. Phys. Rev. D 2013, 87, 092005. [Google Scholar]
- Baldini, R.; Pacetti, S.; Zallo, A.; Zichichi, A. Unexpected features of e+e− → and e+e− → cross section near threshold. Eur. Phys. J. A 2009, 39, 315–321. [Google Scholar] [CrossRef] [Green Version]
- Baldini, R.; Pacetti, S.; Zallo, A. No Sommerfeld resummation factor in e+e− → ? Eur. Phys. J A 2012, 48, 33. [Google Scholar] [CrossRef] [Green Version]
- Kerbikov, B.; Stavinsky, A.; Fedotov, V. Model independent view on the low mass proton anti-proton enhancement. Phys. Rev. C 2004, 69, 055205. [Google Scholar] [CrossRef] [Green Version]
- Bugg, D.V. Reintepreting several narrow resonances as threshold cusps. Phys. Lett. B 2004, 598, 8. [Google Scholar] [CrossRef] [Green Version]
- Zou, B.S.; Chiang, H.C. One pion exchange final state interaction and the p anti-p near threshold enhancement in J/ψ → γ decays. Phys. Rev. D 2004, 69, 034004. [Google Scholar] [CrossRef] [Green Version]
- Loiseau, B.; Wycech, S. Antiproton-proton channels in J/psi decays. Phys. Rev. C 2005, 72, 011001. [Google Scholar] [CrossRef] [Green Version]
- Haidenbauer, J.; Meissner, U.-G.; Sibirtsev, A. Near Threshold p anti-p enhancement in B and J/psi decay. Phys. Rev. D 2006, 74, 017501. [Google Scholar] [CrossRef] [Green Version]
- Sibirtsev, A.; Haidenbauer, J.; Krewald, S.; Meissner, U.-G.; Thomas, A.W. Near threshold enhancement of the p anti-p mass spectrum in J/psi decay. Phys. Rev. D 2005, 71, 054010. [Google Scholar] [CrossRef] [Green Version]
- Dmitriev, V.F.; Milstein, A.I. Final state interaction effects in the e+e− → process near threshold. Phys. Lett. B 2007, 658, 13. [Google Scholar] [CrossRef]
- Zyla, P.A. et al. [Particle Data Group] The Review of Particle Physics (2021). Prog. Theor. Exp. Phys. 2020, 2020, 083C01. [Google Scholar] [CrossRef]
- Ablikim, M. et al. [BESIII Collaboration] Future Physics Programme of BESIII. Chin. Phys. C 2020, 44, 040001. [Google Scholar]
Mass/GeV/ | /nb | /nb |
---|---|---|
4.58 | 0.239 | 0.221 |
4.61 | 0.238 | 0.299 |
4.64 | 0.237 | 0.587 |
4.67 | 0.231 | 0.282 |
4.7 | 0.201 | 0.190 |
4.73 | 0.135 | 0.133 |
4.76 | 0.07 | 0.071 |
Publisher’s Note: MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affiliations. |
© 2021 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
Share and Cite
Amoroso, A.; Bagnasco, S.; Baldini Ferroli, R.; Balossino, I.; Bertani, M.; Bettoni, D.; Bianchi, F.; Bortone, A.; Calcaterra, A.; Cibinetto, G.;
et al. A Fit to the Available e+e− →
Amoroso A, Bagnasco S, Baldini Ferroli R, Balossino I, Bertani M, Bettoni D, Bianchi F, Bortone A, Calcaterra A, Cibinetto G,
et al. A Fit to the Available e+e− →
Amoroso, Antonio, Stefano Bagnasco, Rinaldo Baldini Ferroli, Ilaria Balossino, Monica Bertani, Diego Bettoni, Fabrizio Bianchi, Alberto Bortone, Alessandro Calcaterra, Gianluigi Cibinetto,
and et al. 2021. "A Fit to the Available e+e− →