Coulomb--Nuclear Interference: The Latest Modification
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Modern problems of mathematical and theoretical physics, Tome 309 (2020), pp. 235-240.

Voir la notice de l'article provenant de la source Math-Net.Ru

A new, mathematically correct, method is proposed for taking into account Coulomb–nuclear interference in the differential cross section for elastic $pp$ scattering without introducing intermediate IR regularization (“photon mass”). This method potentially leads to other (compared with the formula used in the literature) values of the conceptually important parameter $\operatorname {Re}T_{\mathrm N}(s,0)/\operatorname {Im}T_{\mathrm N}(s,0)$.
@article{TM_2020_309_a15,
     author = {Vladimir A. Petrov},
     title = {Coulomb--Nuclear {Interference:} {The} {Latest} {Modification}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {235--240},
     publisher = {mathdoc},
     volume = {309},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2020_309_a15/}
}
TY  - JOUR
AU  - Vladimir A. Petrov
TI  - Coulomb--Nuclear Interference: The Latest Modification
JO  - Trudy Matematicheskogo Instituta imeni V.A. Steklova
PY  - 2020
SP  - 235
EP  - 240
VL  - 309
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TM_2020_309_a15/
LA  - ru
ID  - TM_2020_309_a15
ER  - 
%0 Journal Article
%A Vladimir A. Petrov
%T Coulomb--Nuclear Interference: The Latest Modification
%J Trudy Matematicheskogo Instituta imeni V.A. Steklova
%D 2020
%P 235-240
%V 309
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TM_2020_309_a15/
%G ru
%F TM_2020_309_a15
Vladimir A. Petrov. Coulomb--Nuclear Interference: The Latest Modification. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Modern problems of mathematical and theoretical physics, Tome 309 (2020), pp. 235-240. http://geodesic.mathdoc.fr/item/TM_2020_309_a15/

[1] Antchev G. et al. (TOTEM Collaboration)., “First determination of the $\rho $ parameter at $\sqrt s=13$\;TeV: Probing the existence of a colourless C-odd three-gluon compound state”, Eur. Phys. J. C, 79:9 (2019), 785 ; Preprint CERN-EP-2017-335-v3, CERN, Geneva, 2017, arXiv: 1812.04732

[2] Bethe H.A., “Scattering and polarization of protons by nuclei”, Ann. Phys., 3:2 (1958), 190–240 | Zbl

[3] Cahn R., “Coulombic–hadronic interference in an eikonal model”, Z. Phys. C: Part. Fields, 15:3 (1982), 253–260

[4] V. V. Ezhela, V. A. Petrov, and N. P. Tkachenko, TOTEM: On parameter $\rho $ at $13$\;TeV, Preprint 2019-9, IHEP, Protvino, 2019

[5] I. M. Gel'fand and G. E. Shilov, Generalized Functions, v. 1, Properties and Operations, Academic, New York, 1964 | MR

[6] Kundrát V., Lokajíček M., “High-energy elastic scattering amplitude of unpolarized and charged hadrons”, Z. Phys. C: Part. Fields, 63:4 (1994), 619–629

[7] Łukaszuk L., Nicolescu B., “A possible interpretation of pp rising total cross-sections”, Lett. Nuovo Cimento, 8 (1973), 405–413

[8] Martynov E., Nicolescu B., “Discovery of the odderon by TOTEM experiments and the FMO approach”, EPJ Web Conf., 206 (2019), 06001

[9] Petrov V.A., “Once more on Coulomb–nuclear interference”, Eur. Phys. J. C, 78:3 (2018), 221

[10] Petrov V.A., Bethe's ansatz for Coulomb–nuclear interference is incompatible with additive eikonal, E-print, 2019, arXiv: 1906.03895

[11] Slavnov A.A., “Renormalization of supersymmetric gauge theories. II: Non-Abelian case”, Nucl. Phys. B, 97:1 (1975), 155–164 | MR

[12] A. A. Slavnov and L. D. Faddeev, Introduction to Quantum Theory of Gauge Fields, Nauka, Moscow, 1988 | MR | MR | Zbl | Zbl

[13] L. D. Faddeev and A. A. Slavnov, Gauge Fields: Introduction to Quantum Theory, Front. Phys., 83, Addison-Wesley, Redwood City, CA, 1991 | MR | MR | Zbl | Zbl

[14] V. S. Vladimirov, Generalized Functions in Mathematical Physics, Mir, Moscow, 1979 | MR | Zbl

[15] West G.B., Yennie D.R., “Coulomb interference in high-energy scattering”, Phys. Rev., 172:5 (1968), 1413–1422