×

Retardation effects and virtual annihilation interactions in relativistic three-body systems. (English) Zbl 1387.81258

Summary: The Hamiltonian formalism of quantum field theory and the variational methods in a reformulated model have been used to investigate the influence of retardation effects or virtual annihilation interactions in relativistic three-body wave equations for scalar two particles and one antiparticle interacting via a massive or massless mediating scalar field. The results show that the inclusion of virtual annihilation interactions or retardation effects can have noticeable consequence on the three-body binding energy at strong coupling.

MSC:

81T10 Model quantum field theories
70F07 Three-body problems
70S05 Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems
70H40 Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics
Full Text: DOI

References:

[1] Salpeter, EE; Bethe, HA, No article title, Phys. Rev., 84, 1232 (1951) · Zbl 0044.43103 · doi:10.1103/PhysRev.84.1232
[2] Bethe, H.A., Salpeter, E.E.: Quantum Mechanics of One- and Two-Electron Atoms. Springer, Berlin (1957) · Zbl 0089.21006 · doi:10.1007/978-3-662-12869-5
[3] Hadizadeh, M.R., Elster, C.h., Polyzoum, W.N.: EPJ Web Conf. Volume 113 21st International Conference on Few-Body Problems in Physics (2016)
[4] Darewych, JW; Horbatsch, M.; Koniuk, R., No article title, Phys. Rev. Lett., 54, 2188 (1985) · doi:10.1103/PhysRevLett.54.2188
[5] Darewych, J.W.: Interparticle Interactions and Nonlocality in QFT. In: Hunter, G., Jeffers, S. , Vigier, J.-P. (eds.) Causality and Locality in Modern Physics Proceedings of a Symposium in honour of Jean-Pierre Vigier, pp. 333-344. Kluwer Academic Publishers, Dordrecht (1998) · Zbl 0973.81549
[6] Darewych, JW; Annales, F., No article title, Louis de Broglie (Paris), 23, 15 (1998)
[7] Emami-Razavi, M., No article title, Phys. Lett. B, 640, 285 (2006) · Zbl 1248.81104 · doi:10.1016/j.physletb.2006.08.004
[8] Emami-Razavi, M., No article title, Phys. Rev. D, 77, 045025 (2008) · doi:10.1103/PhysRevD.77.045025
[9] Emami-Razavi, M.; Bergeron, N.; Darewych, JW, No article title, J. Phys. G: Nucl. Part. Phys., 38, 065004 (2011) · doi:10.1088/0954-3899/38/6/065004
[10] Emami-Razavi, M.; Darewych, JW, No article title, J. Phys. G: Nucl. Part. Phys., 32, 1171-1191 (2006) · doi:10.1088/0954-3899/32/8/008
[11] Emami-Razavi, M., Kowalski, M.: vol. 76 (2007)
[12] Emami-Razavi, M.; Bergeron, N.; Darewych, J.; Kowalski, M., No article title, Phys. Rev. D, 80, 085006 (2009) · doi:10.1103/PhysRevD.80.085006
[13] Nieuwenhuis, T.; Tjon, JA, No article title, Phys. Rev. Lett., 77, 814 (1996) · doi:10.1103/PhysRevLett.77.814
[14] Ding, B.; Darewych, J., No article title, J. Phys. G, 26, 907 (2000) · doi:10.1088/0954-3899/26/6/312
[15] Droz-Vincent, Ph, No article title, Int. J. Theor. Phys., 48, 2177-2189 (2009) · Zbl 1175.83006 · doi:10.1007/s10773-009-9999-8
[16] Rupp, G.; Tjon, JA, No article title, Phys. Rev. C: Nucl. Phys., 45, 2133 (1992) · doi:10.1103/PhysRevC.45.2133
[17] Droz-Vincent, Ph, No article title, Int. J. Theor. Phys., 42, 1809-1834 (2003) · Zbl 1034.81011 · doi:10.1023/A:1026143624130
[18] Emami-Razavi, M.; Darewych, JW, No article title, J. Phys. G: Nucl. Part. Phys., 31, 1095 (2005) · doi:10.1088/0954-3899/31/9/011
[19] Mills, AP, No article title, Phys. Rev. Lett., 46, 717 (1981) · doi:10.1103/PhysRevLett.46.717
[20] Gross, F.: Relativistic Quantum Mechanics and Field theory, pp. 259-261. Wiley InterScience Publication, New York (1992)
[21] Press, W.H., Teukolsky, S.A., Vetterling, W.T., Flannery, B.P.: Numerical Recipes, 2nd edn. Cambridge University Press, Cambridge (1992) · Zbl 0778.65003
[22] Karmanov, VA; Maris, P., No article title, Few-Body Syst., 46, 95 (2009) · doi:10.1007/s00601-009-0054-3
[23] Rouhani, S.; Takook, MV, No article title, Int. J Theor. Phys., 48, 2740-2747 (2009) · Zbl 1177.83072 · doi:10.1007/s10773-009-0064-4
[24] Sojasi, A.; Mohsenzadeh, M.; Takook, MV; Yusofi, E., No article title, Int. J. Theor. Phys., 49, 2409-2416 (2010) · Zbl 1203.83077 · doi:10.1007/s10773-010-0426-y
[25] Emami-Razavi, M., No article title, Phys. Rev. A, 77, 042104 (2008) · doi:10.1103/PhysRevA.77.042104
[26] Emami-Razavi, M.; Bergeron, N.; Darewych, JW, No article title, Int. J. Mod. Phys. E, 21, 1250091 (2012) · doi:10.1142/S0218301312500917
[27] Strobel, GL, No article title, Int. J. Theor. Phys., 40, 2029-2036 (2001) · Zbl 0989.81627 · doi:10.1023/A:1011945321502
[28] Di Leo, L.; Darewych, JW, No article title, Phys. Rev. D, 49, 1659 (1994) · doi:10.1103/PhysRevD.49.1659
[29] Siringo, F., No article title, Phys. Rev. D, 62, 116009 (2000) · doi:10.1103/PhysRevD.62.116009
[30] Di Leo, L.; Darewych, JW, No article title, Int. J. Mod. Phys., 16, 2165 (2002) · doi:10.1142/S0217751X02010674
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.