A relativistic quark model of mesons
Teoretičeskaâ i matematičeskaâ fizika, Tome 116 (1998) no. 2, pp. 225-247 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We propose a relativistic quantum model to describe mesons comprising a quark and an antiquark with arbitrary masses. The Dirac equations describe the quarks, and the rigid string approximation accounts for the gluon field contribution. The model fits the meson spectra well and determines the masses of the $s$-, $c$-, and $b$-quarks and the relativistic wave functions of compound mesons.
@article{TMF_1998_116_2_a5,
     author = {L. D. Solov'ev},
     title = {A~relativistic quark model of mesons},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {225--247},
     year = {1998},
     volume = {116},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1998_116_2_a5/}
}
TY  - JOUR
AU  - L. D. Solov'ev
TI  - A relativistic quark model of mesons
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1998
SP  - 225
EP  - 247
VL  - 116
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1998_116_2_a5/
LA  - ru
ID  - TMF_1998_116_2_a5
ER  - 
%0 Journal Article
%A L. D. Solov'ev
%T A relativistic quark model of mesons
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1998
%P 225-247
%V 116
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1998_116_2_a5/
%G ru
%F TMF_1998_116_2_a5
L. D. Solov'ev. A relativistic quark model of mesons. Teoretičeskaâ i matematičeskaâ fizika, Tome 116 (1998) no. 2, pp. 225-247. http://geodesic.mathdoc.fr/item/TMF_1998_116_2_a5/

[1] J. F. Donoghue, E. Golowich, B. R. Holstein, Dynamics of the Standard Model, Cambridge Univ. Press, Cambridge, 1992 | Zbl

[2] L. D. Soloviev, String model of confinement. 10th Int. Conf. “Problems of Quantum Field Theory”, JINR E-2-96-369, JINR, Dubna, 1996 | MR

[3] L. D. Soloviev, Quark masses in a relativistic confinement model, Preprint IHEP 97-7, IHEP, Protvino, 1997

[4] P. Hasenfranz, Proc. of the XXIII Int.Conf. on High Energy Physics, ed. S. C. Loken, World Scientific, Singapore, 1987 ; M. Fukugita, Lattice gauge theory using parallel processors, eds. X. Li, Z. Qiu and H. Ren, Gordon and Breach, NY, 1987; P. M. Zerwas, Proc. of the XXIV Int.Conf. on High Energy Physics, eds. R. Kotthaus and J. H. Kuhn, Springer-Verlag, Berlin, 1988 | MR

[5] G. P. Pronko, A. V. Razumov, TMF, 56 (1983), 192 | MR | Zbl

[6] V. I. Borodulin, O. L. Zorin, G. P. Pronko, A. V. Razumov, L. D. Solovev, TMF, 65 (1985), 119 | MR

[7] G. P. Pron'ko, Rev. Math. Phys., 2:3 (1990), 355 | DOI | MR | Zbl

[8] F. A. Berezin, M. S. Marinov, Ann. Phys., 104 (1977), 336 | DOI | Zbl

[9] L. D. Solovev, TMF, 106 (1996), 209 | DOI | Zbl

[10] L. Brink, S. Deser, B. Zumino, P. Di Vecchia, P. Howe, Phys. Lett. B, 64:4 (1976), 435 | DOI | MR

[11] L. D. Solovev, Kvantovanie relyativistskogo rotatora s massami i spinami, Preprint IFVE 96-67, IFVE, Protvino, 1996

[12] R. M. Barnett et al., Phys. Rev. D, 54 (1996), 1 | DOI | MR

[13] H. B. Nielsen, P. Olesen, Nucl. Phys. B, 61 (1973), 45 | DOI

[14] A. Chodos, C. B. Thorn, Nucl. Phys. B, 72 (1974), 509 | DOI

[15] G.'t Hooft, Nucl. Phys. B, 75 (1974), 461 | DOI

[16] D. Förster, Nucl. Phys. B, 81 (1974), 84 | DOI

[17] P. Frampton, Phys. Rev. D, 12 (1975), 583

[18] I. Bars, Phys. Rev. Lett., 36 (1976), 1521 | DOI

[19] I. Bars, A. Hanson, Phys. Rev. D, 13 (1976), 1744 | DOI | MR

[20] R. C. Giles, S.-H. H. Tye, Phys. Rev. D, 16 (1977), 1079 | DOI

[21] K. Kikkawa, M. Sato, Phys. Rev. Lett., 38 (1977), 1309 ; K. Kikkawa, T. Kotani, M. Sato, Phys. Rev. D, 18 (1978), 2606 | DOI | DOI

[22] M. Ida, Progr. Theor. Phys., 59 (1978), 1661 | DOI

[23] K. Johnson, C. Nohl, Phys. Rev. D, 19 (1979), 291 | DOI

[24] F. Lizzi, C. Rosenzweig, Phys. Rev. D, 31 (1985), 1685 | DOI

[25] I. Yu. Kobzarev, B. V. Martemyanov, M. G. Schepkin, YaF, 44 (1986), 475; И. Ю. Кобзарев, Л. А. Кондратюк, Б. В. Мартемьянов, М. Г. Щепкин, ЯФ, 46 (1987), 1552

[26] A. V. Batunin, O. L. Zorin, Massivnaya pryamolineinaya struna kak model tyazhelogo kvarkoniya, Preprint IFVE 89-87, IFVE, Serpukhov, 1989

[27] B. M. Barbashov, “Classical dynamics of rotating relativistic string with massive ends: the Regge trajectories and quark masses”, Proc. of the Conf. “Strong Interactions at Long Distances”, ed. L. Jenkovsky, Hadronic Press, Palm Harbor, 1995, 257

[28] P. A. M. Dirak, Lektsii po kvantovoi mekhanike, Mir, M., 1968

[29] A. V. Razumov, Dependent coordinates in classical mechanics, Preprint IHEP 84-86, IHEP, Serpukhov, 1984