DEFINITION NONPERTURBATIVE AND RELATIVISTIC AMENDMENTS TO HAMILTONIAN INTERACTIONS
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Abstract
We propose on of the alternative version of calculation the energy spectrum of the bound state systems with satisfied the relativistic invariance. Our approach is based on the investigation of the asymptotic behaviour of the polarization loop function for scalar charged particles in an external gauge field and we determine the mass spectrum of bound state. The nonperturbative corrections arising due to the relativistic nature of system to the interaction Hamiltonian are determined.
References
1. J.Schwinger, Proc. Acad.Sci. USA, 37, p.452 (1951).
2. E.Salpeter and H.Bethe, Phys.Rev., 84, p.1232 (1951).
3. W.E.Caswell and G.P.Lepage, Phys.Let. B167, p.437 (1986).
4. T.Kinoshita and M.Nio, Phys.Rev. D53, p.4909 (1996).
5. M. Dineykhan, S.A. Zhaugasheva, N.Sh. Toinbaeva and A. Jakhanshir, J.Phys.B: At. Mol. Opt.Phys. 42, р.145001 (2009).
6. R.P. Feynman and A.P. Hibbs, Quantum Mechanics and PathIntegrals (MeGraw-Hill, New York, 1963).
7. M. Dineykhan, G.V .Efimov and Kh.Namsrai, Fortschr. Phys. 39, р.259 (1991).
8. S. Godfrey and N. Isgur, Physical Rev.D32, p.189 (1985).
9. N. Isgur аnd M. Wise, Phys. Lett. B262, p.113 (1989); ibid B6890, 237,p.527; Physics Reports,200, p.127 (1991).
10. G.V. Efimov, Few-Body Systems 47, (2010) (in press).
2. E.Salpeter and H.Bethe, Phys.Rev., 84, p.1232 (1951).
3. W.E.Caswell and G.P.Lepage, Phys.Let. B167, p.437 (1986).
4. T.Kinoshita and M.Nio, Phys.Rev. D53, p.4909 (1996).
5. M. Dineykhan, S.A. Zhaugasheva, N.Sh. Toinbaeva and A. Jakhanshir, J.Phys.B: At. Mol. Opt.Phys. 42, р.145001 (2009).
6. R.P. Feynman and A.P. Hibbs, Quantum Mechanics and PathIntegrals (MeGraw-Hill, New York, 1963).
7. M. Dineykhan, G.V .Efimov and Kh.Namsrai, Fortschr. Phys. 39, р.259 (1991).
8. S. Godfrey and N. Isgur, Physical Rev.D32, p.189 (1985).
9. N. Isgur аnd M. Wise, Phys. Lett. B262, p.113 (1989); ibid B6890, 237,p.527; Physics Reports,200, p.127 (1991).
10. G.V. Efimov, Few-Body Systems 47, (2010) (in press).
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Published
2018-11-23
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Section
Theoretical Physics. Nuclear and Elementary Particle Physics. Astrophysics
