Abstract:
The jumps at the kinematic and anomalous cuts for the current-operator matrix elements
⟨2|A(x)|0⟩ and ⟨2|A(x)|2⟩ are related to the S-matrix at a mass shell.
Citation:
V. E. Troitsky, Yu. M. Shirokov, “Relation between jumps at kinematic and anomalous cuts and the S-matrix at a mass shell”, TMF, 1:2 (1969), 213–221; Theoret. and Math. Phys., 1:2 (1969), 164–170
\Bibitem{TroShi69}
\by V.~E.~Troitsky, Yu.~M.~Shirokov
\paper Relation between jumps at kinematic and anomalous cuts and the $S$-matrix at a~mass shell
\jour TMF
\yr 1969
\vol 1
\issue 2
\pages 213--221
\mathnet{http://mi.mathnet.ru/tmf4562}
\transl
\jour Theoret. and Math. Phys.
\yr 1969
\vol 1
\issue 2
\pages 164--170
\crossref{https://doi.org/10.1007/BF01028042}
Linking options:
https://www.mathnet.ru/eng/tmf4562
https://www.mathnet.ru/eng/tmf/v1/i2/p213
This publication is cited in the following 21 articles:
A. F. Krutov, V. E. Troitsky, “Step toward estimation of the neutral-hadron size: The gravitational mass radius of
π0
meson in a relativistic theory of composite particles”, Phys. Rev. D, 111:3 (2025)
A. F. Krutov, V. E. Troitsky, “Pion gravitational form factors at large momentum transfer in the instant-form relativistic impulse approximation approach”, Phys. Rev. D, 108:9 (2023)
A. F. Krutov, R. G. Polezhaev, V. E. Troitsky, “Magnetic moment of the
ρ
meson in instant-form relativistic quantum mechanics”, Phys. Rev. D, 97:3 (2018)
Krutov A.F. Polezhaev R.G. Troitsky V.E., “Radius of the Rho Meson Determined From Its Decay Constant”, Phys. Rev. D, 93:3 (2016), 036007
A. F. Krutov, R. G. Polezhaev, V. E. Troitsky, “Describing radiation decay using the instant form of relativistic quantum mechanics”, Theoret. and Math. Phys., 184:2 (2015), 1148–1162
A. F. Krutov, M. A. Nefedov, V. E. Troitsky, “Analytic continuation of the pion form factor from the spacelike to the timelike domain”, Theoret. and Math. Phys., 174:3 (2013), 331–342
Krutov, AF, “Instant form of Poincaré,-invariant quantum mechanics and description of the structure of composite systems”, Physics of Particles and Nuclei, 40:2 (2009), 136
Krutov, AF, “Deuteron tensor polarization component T-20(Q(2)) as a crucial test for deuteron wave functions”, Physical Review C, 75:1 (2007), 014001
Krutov, AF, “Relativistic instant-form approach to the structure of two-body composite systems”, Physical Review C, 65:4 (2002), 045501
A. F. Krutov, V. E. Troitsky, “Asymptotic estimates of the pion charge form factor”, Theoret. and Math. Phys., 116:2 (1998), 907–913
E. V. Balandina, A. F. Krutov, V. E. Troitsky, “Relativistic model for composite two-quark systems”, Theoret. and Math. Phys., 103:1 (1995), 381–389
V. E. Troitsky, I. S. Tsirova, “Analytic functionals in a phase-shift representation”, Theoret. and Math. Phys., 43:1 (1980), 370–372
V. E. Troitsky, “A method of finding the jost matrix”, Theoret. and Math. Phys., 37:2 (1978), 996–998
A. I. Kirillov, “Integral representation for electromagnetic form factors of two-particle systems”, Theoret. and Math. Phys., 20:2 (1974), 763–767
V. P. Kozhevnikov, V. E. Troitsky, S. V. Trubnikov, Yu. M. Shirokov, “On the relationship between the deuteron form factors and the physical $S$-matrix. I”, Theoret. and Math. Phys., 10:1 (1972), 30–37
V. E. Troitsky, S. V. Trubnikov, Yu. M. Shirokov, “On the relationship between the deuteron form factors and the physical $S$-matrix. II”, Theoret. and Math. Phys., 10:2 (1972), 136–139
S. V. Trubnikov, “Relationship between the matrix element of deuteron electrodisintegration and the neutron-proton phase shifts”, Theoret. and Math. Phys., 12:3 (1972), 904–908
V.I. Kukulin, V.E. Troitski, Yu.M. Shirokov, S.V. Trubnikov, “Calculation of the relativistic charge form factor of the deuteron directly from experimental n-p phase shifts”, Physics Letters B, 39:3 (1972), 319
M. L. Kharakhan, Yu. M. Shirokov, “Jost function for two-channel scattering problem”, Theoret. and Math. Phys., 3:1 (1971), 374–378
Yu. A. Brychkov, Yu. M. Shirokov, “Asymptotic behavior of Fourier transforms”, Theoret. and Math. Phys., 4:3 (1970), 847–853
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