Connection of different parametrizations of the proton electromagnetic current operator in discrete symmetries violation case

A. F. Krutov   ; P. A. Nikulin

Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 3 (2015), pp. 140-152

Résumé

In this paper field and canonical parameterizations of matrix elements of proton electromagnetic current operator in discrete symmetries violation case were reviewed. The main principles of field and canonical operator parameterizations were described. The connection between proton form-factors in field and canonical parametrization has been constructed. Physical interpretation of the proton electromagnetic current odd part formfactors in canonical parametrization has been obtained. Opportunity of using obtained results for solving the actual problems of proton electromagnetic structure theory — the non-rosenbluth $ep$-scattering problem and the proton radius puzzle — was discussed.

Détail

Keywords: electromagnetic current operator, field parametrization, canonical parametrization, connection of parameterizations, proton radius, non-rosenbluth scattering, discrete symmetries violation
Mots-clés : anapole formfactor.

Bibliographie

[1] M. K. Jones et al., “$G_E/G_M$ Ratio by Polarization Transfer in $\vec ep\rightarrow e\vec p$”, Phys. Rev. Lett., 84 (2000), 1398–1402 | DOI

[2] Rosenbluth M. N., “High Energy Elastic Scattering of Electrons on Protons”, Phys. Rev., 79 (1950), 615–619 | DOI | Zbl

[3] R. C. Walker et al., “Measurements of the proton elastic form factors for $1\leq Q^2 \leq 3 (GeV/c)^2$ at SLAC”, Phys. Rev. D, 49 (1994), 5671–5689 | DOI

[4] Arrington J., “Evidence for two-photon exchange contributions in electron-proton and positron-proton elastic scattering”, Phys. Rev. C, 69 (2004), 032201 | DOI

[5] Krutov A. F., Kudinov M. Yu., “About proton anapole form factor”, Vestnik of Samara State University. Natural Science Series, 2012, no. 3/2(94), 12–23 (in Russian)

[6] Krutov A. F., Kudinov M. Yu., “Electromagnetic structure of the proton within the $CP$-violation hypothesis”, Physics of Atomic Nuclei, 76:11 (2013), 1410–1416 (in Russian) | DOI

[7] D. Wang et al., “Measurement of parity violation in electron-quark scattering”, Nature, 506 (2014), 67–70 | DOI

[8] Mohr P. J., Taylor B. N., Newell D. B., “CODATA recommended values of the fundamental physical constants: 2010”, Rev. Mod. Phys., 84 (2012), 1527–1605 | DOI

[9] R. Pohl et al., “The size of the proton”, Nature, 466 (2010), 213–216 | DOI

[10] Jentschura U. D., “Lamb shift in muonic hydrogen-II. Analysis of the discrepancy of theory and experiment”, Ann. Phys., 326 (2011), 516–533 | DOI | MR | Zbl

[11] Karr J. P., Hilico L., “Why Three-Body Physics Does Not Solve the Proton-Radius Puzzle”, Phys. Rev. Lett., 109 (2012), 103401 | DOI

[12] Hill R. J., Paz G., “Model Independent Analysis of Proton Structure for Hydrogenic Bound States”, Phys. Rev. Lett., 107 (2011), 160402 | DOI

[13] Miller G. A., “Proton polarizability contribution: Muonic hydrogen Lamb shift and elastic scattering”, Phys. Lett. B, 718 (2012), 1078–1082 | DOI

[14] V. Barger et al., “Proton Size Anomaly”, Phys. Rev. Lett., 106 (2011), 153001 | DOI

[15] Cheshkov A. A., Shirokov Yu. M., “Invariant parametrization of local operators”, Journal of Experimental and Theoretical Physics, 44 (1963), 1982–1992 (in Russian)

[16] Balandina E. V., Yudin N. P., “About relations of electromagnetic current parameterizations in quantum theory”, Vestnik of Moscow State University. Physics and Astonomy Series, 36 (1995), 14–19 (in Russian) | Zbl

[17] Zeldovich Ya. B., “Electromagnetic interaction within a parity violation”, Journal of Experimental and Theoretical Physics, 33 (1957), 1531–1533 (in Russian)

[18] Dubovik V. M., Tosunian L. A., “Toroid momentums in physics of electromagnetic and weak interactions”, Physics of Elementary Particles and Atomic Nuclei, 14 (1983), 1193–1228 (in Russian)

[19] Krutov A. F., “The analogue of Wigner–Eckart decomposition for Poincare group”, Theoretical physics, 2 (2001), 97–111 (in Russian)

[20] Berestetskiy V. B., Lifshitz E. M., Pitaevskiy L. P., Theoretical physics, v. 4, Quantum electrodynamics, 4th ed., corr., ed. Pitaevskiy L. P., Fizmatlit, M., 2002, 720 pp. (in Russian)