Singular solutions of the Yang–Mills equations and bag models
Teoretičeskaâ i matematičeskaâ fizika, Tome 117 (1998) no. 2, pp. 163-174 Cet article a éte moissonné depuis la source Math-Net.Ru

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We propose a quark confinement model based on singular solutions of the classical Yang–Mills equations. In this model, we evaluate hadron masses with the quarks in the ground state. Our results fit the experimental mass values with an accuracy of 3–5 % pseudoscalar mesons.
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F. A. Lunev; O. V. Pavlovskii. Singular solutions of the Yang–Mills equations and bag models. Teoretičeskaâ i matematičeskaâ fizika, Tome 117 (1998) no. 2, pp. 163-174. http://geodesic.mathdoc.fr/item/TMF_1998_117_2_a0/

[1] P. N. Bogoliubov, Ann. Inst. Henri Poincaré, 8 (1967), 163

[2] A. Chodos, R. L. Jaffe, K. Johnson, C. B. Thorn, V. F. Weisskopf, Phys. Rev. D, 9 (1974), 3471 | DOI | MR

[3] A. Chodos, R. L. Jaffe, K. Johnson, C. B. Thorn, V. F. Weisskopf, Phys. Rev. D, 10 (1974), 2599 | DOI | MR

[4] W. A. Bardeen, M. S. Chanowitz, S. D. Drell, M. Weinstein, T.-M. Yan, Phys. Rev. D, 11 (1975), 1094 | DOI

[5] P. Hasenfratz, J. Kuti, Phys. Rep. C, 40 (1978), 75 | DOI | MR

[6] J. Baacke, G. Kasperidus, Z. Phys. C, 5 (1980), 259 | DOI

[7] P. N. Bogolyubov, A. E. Dorokhov, EChAYa, 18 (1987), 917

[8] A. E. Dorokhov, Yu. A. Zubov, N. I. Kochelev, EChAYa, 23 (1992), 522

[9] T. DeGrand, R. L. Jaffe, K. Johnson, J. Kiskis, Phys. Rev. D, 12 (1975), 2060 | DOI

[10] K. Johnson, Acta Phys. Pol. B, 6 (1975), 865

[11] J. F. Donoghue, K. Johnson, Phys. Rev. D, 21 (1980), 1975 | DOI

[12] J. Baacke, Yu. Igarashi, G. Kasperidus, Z. Phys. C, 8 (1981), 257 | DOI

[13] J. Baacke, Yu. Igarashi, G. Kasperidus, Z. Phys. C, 9 (1981), 203 | DOI

[14] J. Baacke, Yu. Igarashi, G. Kasperidus, Z. Phys. C, 13 (1982), 131 | DOI

[15] M. Betz, R. Goldflam, Phys. Rev. D, 28 (1983), 2848 | DOI

[16] M. Sadzikowski, Z. Phys. C, 64 (1994), 427 | DOI

[17] J. M. Swank, L. J. Swank, T. Dereli, Phys. Rev. D, 12 (1975), 1096 | DOI

[18] A. P. Protogenov, Phys. Lett. B, 67 (1977), 62 | DOI | MR

[19] A. P. Protogenov, Phys. Lett. B, 87 (1979), 80 | DOI

[20] F. A. Lunev, YaF, 56 (1993), 238

[21] F. A. Lunev, TMF, 94 (1993), 66

[22] F. A. Lunev, Phys. Lett. B, 311 (1993), 273 | DOI | MR

[23] F. A. Lunev, Phys. Lett. B, 295 (1992), 99 | DOI | MR

[24] K. Johnson, “The Yang–Mills group state”, QCD: 20 Years Later, eds. P. M. Zerwas, H. A. Kastrup, World Scientific, Singapore, 1992, 795

[25] M. Bauer, D. Z. Freedman, P. E. Haagensen, Nucl. Phys. B, 428 (1994), 147 | DOI | MR | Zbl

[26] F. A. Lunev, J. Math. Phys., 37 (1996), 5351 | DOI | MR | Zbl

[27] D. Singleton, Phys. Rev. D, 51 (1995), 5911 | DOI | MR

[28] S. Mahajan, P. Valanju, Phys. Rev. D, 36 (1987), 1500 | DOI | MR

[29] S. Mahajan, P. Valanju, Phys. Rev. D, 36 (1987), 2543 | DOI | MR

[30] Yu. N. Obukhov, Analogue of black string in the Yang–Mills gauge theory, E-print hep-th/9608011 | MR

[31] T. T. Wu, C. N. Yang, “Some solutions of the classical isotopic gauge field equations”, Properties of matter under unusual condition, eds. H. Mark, S. Fernback, Interscience, New York, 1969, 349

[32] F. Cooper, A. Khare, U. Suktme, Phys. Rep., 251 (1995), 267 | DOI | MR

[33] R. Jackiw, C. Rebbi, Phys. Rev. D, 13 (1976), 3398 | DOI | MR

[34] R. Radzharaman, Solitony i instantony v kvantovoi teorii polya, Mir, M., 1985

[35] O. V. Pavlovsky, “Regularization of self-energy of the quark bag”, Talk given on the 10th International Seminar on High Energy Physics “Quarks'98” (to appear) , INR, M.

[36] Particle data group, Phys. Rev. D, 50:3(1) (1994)