Interaction of Scalar Particles via a Tachyon Field: Scattering Problem

Authors

  • I. Zahladko Institute for Condensed Matter Physics, Nat. Acad. of Sci. of Ukraine

DOI:

https://doi.org/10.15407/ujpe59.08.0749

Keywords:

partially reduced field theory, Yukawa model, scattering problem, tachyons

Abstract

The interaction of scalar particles via a tachyon field is considered in the scope of partially reduced field theory. The differential and total cross-sections of elastic scattering of two different particles interacting via a mediating field of imaginary mass are calculated.

References

O.-M. Bilaniuk, V.K. Deshpande, and E.C.G. Sudarshan, Amer. J. Phys. 30, 718 (1962).

https://doi.org/10.1119/1.1941773

O.-M. Bilaniuk and E.C.G. Sudarshan, Physics Today 22, 43 (1969).

https://doi.org/10.1063/1.3035574

G. Feinberg, Phys. Rev. 159, 1089 (1967).

https://doi.org/10.1103/PhysRev.159.1089

K. Kamoi and S. Kamefuchi, Prog. Theor. Phys. 45, 1646 (1971).

https://doi.org/10.1143/PTP.45.1646

G.V. Efimov, arXiv:1202.2757 (2012).

A.M. Gleeson, M.G. Gundzik, E.C.G. Sudarshan, and A. Pagnamenta, Phys. Rev. D. 6, 807 (1972).

https://doi.org/10.1103/PhysRevD.6.807

Ch. Jue, Phys. Rev. D. 8, 1757 (1973).

https://doi.org/10.1103/PhysRevD.8.1757

G.D. Maccarrone and E. Recami, Nuovo Cim. A 57, 85 (1980).

https://doi.org/10.1007/BF02832949

A.V. Marshakov, Usp. Fiz. Nauk 172, 977 (2002).

https://doi.org/10.3367/UFNr.0172.200209a.0977

A. Sen, Int. J. Theor. Phys. 20, 5513 (2005).

A. Frolov, L. Kofman, and A. Starobinsky, Phys. Lett. B 545, 8 (2002).

https://doi.org/10.1016/S0370-2693(02)02582-0

O. Sergijenko and B. Novosyadlyj, Phys. Rev. D 80, 083007 (2009).

https://doi.org/10.1103/PhysRevD.80.083007

M. Barham and J. Darewych, J. Phys. A 31, 3481 (1998).

https://doi.org/10.1088/0305-4470/31/15/013

A. Duviryak and J.W. Darewych, J. Phys. A 37, 8365 (2004).

https://doi.org/10.1088/0305-4470/37/34/012

Ya.P. Terletskii, Dokl. Akad. Nauk SSSR 133, 329 (1960).

S. Tanaka, Progr. Theor. Phys. 24, 171 (1960).

https://doi.org/10.1143/PTP.24.171

Ya.P. Terletskii, Paradoxes in the Theory of Relativity (Plenum Press, New York, 1968).

https://doi.org/10.1007/978-1-4899-2674-6

P.O. Fr¨oman, Archive for History of Exact Sciences 48, 373 (1994).

https://doi.org/10.1007/BF00375087

Berestetskii V.B., E.M. Lifshits, Pitaevskii L.P. Relativistic Quantum Theory. Part 1 (Nauka, Moscow, 1968) (in Russian).

E. Recami and R. Mignani, Riv. Nuovo Cim. 4, 209–290 (1974).

https://doi.org/10.1007/BF02747655

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Published

2018-10-24

How to Cite

Zahladko, I. (2018). Interaction of Scalar Particles via a Tachyon Field: Scattering Problem. Ukrainian Journal of Physics, 59(8), 749. https://doi.org/10.15407/ujpe59.08.0749

Issue

Section

Fields and elementary particles