Abstract
We consider one aspect of the theoretical foundations of polarization experiments on elastic scattering of electrons on protons yielding form factor ratios incompatible with those that are extracted from nonpolarization experiments. We analyze the consequences of abandoning the assumption that the nucleon is a Dirac particle. We show that the process of elastic scattering of electrons on nucleons is described by the same formulas, irrespective of the proper Lorentz group representation associated with the nucleon as a particle with the rest spin 1/2.
Similar content being viewed by others
References
M. K. Jones et al., Phys. Rev. Lett., 84, 1398–1402 (2000).
O. Gayou et al., Phys. Rev. C, 64, 038202 (2001).
O. Gayou et al., Phys. Rev. Lett., 88, 092301 (2002).
V. Punjabi et al., Phys. Rev. C, 71, 055202 (2005).
M. K. Jones et al., Phys. Rev. C, 74, 035201 (2006).
M. E. Christy et al., Phys. Rev. C, 70, 015206 (2004).
I. A. Qattan et al., Phys. Rev. Lett., 94, 142301 (2005).
M. N. Rosenbluth, Phys. Rev., 79, 615–619 (1950).
J. Arrington, Phys. Rev. C, 68, 034325 (2003).
A. I. Akhiezer and M. P. Rekalo, Sov. J. Part. Nucl., 4, 277–287 (1974).
P. A. M. Guichon and M. Vanderhaeghen, Phys. Rev. Lett., 91, 142303 (2003).
P. G. Blunden, W. Melnitchouk, and J. A. Tjon, Phys. Rev. C, 72, 034612 (2005).
A. V. Afanasev, S. J. Brodsky, C. E. Carlson, Y.-C. Chen, and M. Vanderhaeghen, Phys. Rev. D, 72, 013008 (2005).
S. Kondratyuk, P. G. Blunden, W. Melnitchouk, and J. A. Tjon, Phys. Rev. Lett., 95, 172503 (2005).
S. Kondratyuk and P. G. Blunden, Phys. Rev. C, 75, 038201 (2007).
L. W. Mo and Y. S. Tsai, Rev. Modern Phys., 41, 205–235 (1969).
E. Aprile-Giboni et al., Nucl. Instr. Methods Phys. Res., 215, 147–157 (1983).
V. Bargmann, L. Michel, and V. L. Telegdi, Phys. Rev. Lett., 2, 435–436 (1959).
D. R. Yennie, M. M. Levy, and D. G. Ravenhall, Rev. Modern Phys., 29, 144–157 (1957).
L. N. Hand, D. G. Miller, and R. Wilson, Rev. Modern Phys., 35, 335–349 (1963).
I. M. Gel’fand and A. M. Yaglom, Zh. Eksp. Teor. Fiz., 18, 703–733 (1948).
I. M. Gel’fand, R. A. Minlos, and Z. Ya. Shapiro, Representations of Groups of Rotation and Lorentz Groups, Their Applications [in Russian], Fizmatlit, Moscow (1958); English transl.: Representations of the Rotation and Lorentz Groups and Their Applications, Pergamon, Oxford (1963).
L. M. Slad, Modern Phys. Lett. A, 15, 379–389 (2000).
L. M. Slad, Theor. Math. Phys., 129, 1369–1384 (2001).
L. M. Slad, Theor. Math. Phys., 133, 1363–1375 (2002).
L. M. Slad, Theor. Math. Phys., 142, 15–28 (2005).
E. Abers, I. T. Grodsky, and R. E. Norton, Phys. Rev., 159, 1222–1227 (1967).
L. M. Slad, Theor. Math. Phys., 2, 50–54 (1970).
A. I. Akhiezer and V. B. Berestetskii, Quantum Electrodynamics [in Russian], Nauka, Moscow (1981); English transl. prev. ed. (Interscience Monogr. Texts Phys. Astr., Vol. 11), Wiley, New York (1965).
W.-M. Yao et al., J. Phys. G, 33, 1–1232 (2006).
J. Frenkel, Z. Phys., 37, 243–262 (1926).
V. A. Bordovitsyn and I. M. Ternov, Sov. Phys. Usp., 23, 679–683 (1980).
Author information
Authors and Affiliations
Corresponding author
Additional information
__________
Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 158, No. 1, pp. 135–149, January, 2009.
Rights and permissions
About this article
Cite this article
Slad, L.M. Electromagnetic form factors and polarizations of non-Dirac particles with rest spin 1/2. Theor Math Phys 158, 112–124 (2009). https://doi.org/10.1007/s11232-009-0009-3
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11232-009-0009-3