Interaction of Scalar Particles via a Tachyon Field: Scattering Problem


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



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


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.


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

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

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

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

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).

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

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

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

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

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

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

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

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

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

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

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

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

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).




How to Cite

Zahladko, I. (2018). Interaction of Scalar Particles via a Tachyon Field: Scattering Problem. Ukrainian Journal of Physics, 59(8), 749.



Fields and elementary particles