Geodesic
Electromagnetic properties of non-Dirac particles with rest spin $1/2$
Teoretičeskaâ i matematičeskaâ fizika, Tome 165 (2010) no. 1, pp. 48-69 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We resolve a number of questions related to an analytic description of electromagnetic form factors of non-Dirac particles with the rest spin $1/2$. We find the general structure of a matrix antisymmetric tensor operator. We obtain two recurrence relations for matrix elements of finite transformations of the proper Lorentz group and explicit formulas for a certain set of such elements. Within the theory of fields with double symmetry, we discuss writing the components of wave vectors of particles in the form of infinite continued fractions. We show that for $Q^2\le0.5$ {(GeV/c)}$^2$, where $Q^2$ is the transferred momentum squared, electromagnetic form factors that decrease as $Q^2$ increases and are close to those experimentally observed in the proton can be obtained without explicitly introducing an internal particle structure.
Keywords: electromagnetic form factor, tensor operator, infinite continued fraction.
Mots-clés : finite Lorentz transformation 
@article{TMF_2010_165_1_a3,
     author = {L. M. Slad},
     title = {Electromagnetic properties of {non-Dirac} particles with rest spin $1/2$},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {48--69},
     year = {2010},
     volume = {165},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2010_165_1_a3/}
}
TY  - JOUR
AU  - L. M. Slad
TI  - Electromagnetic properties of non-Dirac particles with rest spin $1/2$
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2010
SP  - 48
EP  - 69
VL  - 165
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_2010_165_1_a3/
LA  - ru
ID  - TMF_2010_165_1_a3
ER  - 
%0 Journal Article
%A L. M. Slad
%T Electromagnetic properties of non-Dirac particles with rest spin $1/2$
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2010
%P 48-69
%V 165
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_2010_165_1_a3/
%G ru
%F TMF_2010_165_1_a3
L. M. Slad. Electromagnetic properties of non-Dirac particles with rest spin $1/2$. Teoretičeskaâ i matematičeskaâ fizika, Tome 165 (2010) no. 1, pp. 48-69. http://geodesic.mathdoc.fr/item/TMF_2010_165_1_a3/

[1] I. Estermann, R. Frisch, O. Stern, Nature, 132:3326 (1933), 169–170 | DOI

[2] R. W. McAllister, R. Hofstadter, Phys. Rev., 102:3 (1956), 851–856 | DOI

[3] D. R. Yennie, M. M. Lévy, D. G. Ravenhall, Rev. Modern Phys., 29:1 (1957), 144–157 | DOI

[4] L. H. Hand, D. G. Miller, R. Wilson, Rev. Modern Phys., 35:2 (1963), 335–349 | DOI

[5] M. N. Rosenbluth, Phys. Rev., 79:4 (1950), 615–619 | DOI | Zbl

[6] C. F. Perdrisat, V. Punjabi, M. Vanderhaeghen, Progr. Part. Nucl. Phys., 59:2 (2007), 694–764, arXiv: hep-ph/0612014 | DOI

[7] I. M. Gelfand, A. M. Yaglom, ZhETF, 18:8 (1948), 703–733 | MR

[8] I. M. Gelfand, R. A. Minlos, Z. Ya. Shapiro, Predstavleniya gruppy vraschenii i gruppy Lorentsa, ikh primeneniya, Fizmatgiz, M., 1958 | MR | Zbl

[9] L. M. Slad, TMF, 129:1 (2001), 68–86, arXiv: hep-th/0111140 | DOI | MR | Zbl

[10] L. M. Slad, TMF, 158:1 (2009), 135–149, arXiv: 0901.3673 | DOI | Zbl

[11] L. M. Slad, Modern Phys. Lett. A, 15:5 (2000), 379–389, arXiv: hep-th/0003107 | DOI | MR

[12] M. Gell-Mann, M. Lévy, Nuovo Cimento, 16:4 (1960), 705–726 | DOI | MR | Zbl

[13] L. M. Slad, TMF, 133:1 (2002), 54–68, arXiv: hep-th/0210120 | DOI | MR | Zbl

[14] L. M. Slad, TMF, 142:1 (2005), 21–36, arXiv: hep-th/0312150 | DOI

[15] V. L. Ginzburg, Acta Phys. Polon., 15:1 (1956), 163–175 | MR | Zbl

[16] A. A. Komar, L. M. Slad, TMF, 1:1 (1969), 50–59 | DOI | Zbl

[17] S. Ström, Ark. Fys., 29:39 (1965), 467–483 | MR | Zbl

[18] T. Janssens, R. Hofstadter, E. B. Hughes, M. R. Yearian, Phys. Rev., 142:4 (1966), 922–931 | DOI

[19] L. E. Price, J. R. Dunning, Jr., M. Goitein, K. Hanson, T. Kirk, R. Wilson, Phys. Rev. D, 4:1 (1971), 45–53 | DOI

[20] L. M. Slad, Phys. Lett. A, 374:10 (2010), 1209–1213, arXiv: 0904.1671 | DOI | Zbl

[21] V. Bargmann, L. Michel, V. L. Telegdi, Phys. Rev. Lett., 2:10 (1959), 435–436 | DOI

[22] C. Amsler, M. Doser, M. Antonelli et al. [Particle Data Group], Phys. Lett. B, 667:1–5 (2008), 1–1339 | DOI