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 TMF, 1972, Volume 10, Number 2, Pages 209–214 (Mi tmf2656)

On the relationship between the deuteron form factors and the physical $S$-matrix. II

V. E. Troitsky, S. V. Trubnikov, Yu. M. Shirokov

Abstract: An expression is found for the form factors of the matrix element of the electromagnetic current of the neutron-proton system in terms of the relativistic Jost matrix. To this end the relativistic parametrization of the neutron-proton system obtained in [1] is used directly. The contribution of the anomalous cut is taken into account fully. No allowance is made for effects due to meson current and inelastic $n-p$-channels. The results obtained are needed to express the electromagnetic form factors of the deuteron in terms of the neutron-proton $S$-matrix on the mass shell.

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English version:
Theoretical and Mathematical Physics, 1972, 10:2, 136–139

Citation: V. E. Troitsky, S. V. Trubnikov, Yu. M. Shirokov, “On the relationship between the deuteron form factors and the physical $S$-matrix. II”, TMF, 10:2 (1972), 209–214; Theoret. and Math. Phys., 10:2 (1972), 136–139

Citation in format AMSBIB
\Bibitem{TroTruShi72} \by V.~E.~Troitsky, S.~V.~Trubnikov, Yu.~M.~Shirokov \paper On~the relationship between the deuteron form factors and the physical $S$-matrix.~II \jour TMF \yr 1972 \vol 10 \issue 2 \pages 209--214 \mathnet{http://mi.mathnet.ru/tmf2656} \transl \jour Theoret. and Math. Phys. \yr 1972 \vol 10 \issue 2 \pages 136--139 \crossref{https://doi.org/10.1007/BF01090724} 

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This publication is cited in the following articles:
1. 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
2. V. E. Troitsky, S. V. Trubnikov, Yu. M. Shirokov, “On the relationship between the deuteron form factors and the physical $S$-matrix. III”, Theoret. and Math. Phys., 10:3 (1972), 234–241
3. V. E. Troitsky, “A method of finding the jost matrix”, Theoret. and Math. Phys., 37:2 (1978), 996–998
4. V. E. Troitsky, I. S. Tsirova, “Analytic functionals in a phase-shift representation”, Theoret. and Math. Phys., 43:1 (1980), 370–372
5. V. E. Troitsky, I. S. Tsirova, Yu. M. Shirokov, “Dispersion sum rule for the energy-momentum tensor”, Theoret. and Math. Phys., 46:3 (1981), 197–200
6. 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
7. Krutov, AF, “Nonperturbative relativistic approach to pion form factors: Predictions for future JLab experiments”, Physical Review C, 80:5 (2009), 055210
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