Total cross sections of electromagnetic π0π0 formation processes on a proton and a deuteron in the photon energy range from threshold to E γ ≤ 2 GeV are calculated. Construction of the single-particle photoproduction operator is based on a calculation of Born and resonance contributions calculated in the tree approximation. The main parameters of the nucleon resonances were found from the Particle Data Group (PDG) compilation. A satisfactory description of the р(γ, π0π0)р cross section was achieved assuming a leading role for the pion rescattering process π+π– → π0π0, whose contribution amounted to more than 1 μb in the vicinity of the D 13(1520) resonance.
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References
A. V. Sarantsev, M. Fuchs, M. Kotulla, et al., Phys. Lett. B, 659, 94 (2008).
M. Egorov and A. Fix, Nucl. Phys. A, 933, 104 (2015).
V. Sokhoyan, E. Gutz, V. Crede, et al., Eur. Phys. J. A, 51, 95 (2015).
M. Egorov and A. Fiks, Russ. Phys. J., 54, No. 4, 58 (2011); Article 458, DOI:10.1007/s11182-011-9639-7.
J. D. Bjorken and S. D. Drell, Relativistic Quantum Theory, Vol. 1, Relativistic Quantum Mechanics, McGraw-Hill, New York (1964).
A. Fix and H. Arenhövel, Eur. Phys. J. A, 25, 115 (2005).
K. A. Olive, K. Agashe, C. Amsler, et al., Chin. Phys. C, 38, 090001 (2014).
H. Kamano, S. X. Nakamura, T.-S. H. Lee, and T. Sato, Phys. Rev. C, 88, 035209 (2013).
R. Machleidt, K. Holinde, and C. Elster, Phys. Rep., 149, 1 (1987).
R. Garcia-Martin, R. Kaminski, J. R. Pelaez, et al., Phys. Rev. D, 83, 074004 (2011).
Y. Assafiri, O. Bartalini, V. Bellini, et al., Phys. Rev. Lett., 90, 222001 (2003).
V. L. Kashevarov, A. Fix, S. Prakhov, et al., Phys. Rev. C, 85, 064610 (2012).
Garcia- R. Martin, R. Kaminski, J. R. Pelaez, and J. Ruiz de Elvira, Phys. Rev. Lett., 107, 072001 (2011).
J. G. Messchendorp, S. Janssen, M. Kotulla, et al., Phys. Rev. Lett., 89, 222302 (2002).
Y. Maghrbi, R. Gregor, S. Lugert, et al., Phys. Lett. B, 722, 69 (2013).
I. Jaegle, 14th CB Meeting, Edinburgh (September 2009).
B. Krusche, M. Fuchs, V. Metag, et al., Eur. Phys. J. A, 6, 309 (1999); V. Kleber, P. Achenbach, J. Ahrens, et al., Eur. Phys. J. A, 9, 1 (2000 ).
L. Roca, E. Oset, and M. J. Vicente Vaca, Phys. Lett. B, 541, 77 (2002).
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 1, pp. 24–33, January, 2017.
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Dusaev, R.R., Egorov, M.V. Double Photoproduction of Neutral Pions on a Proton and a Deuteron. Russ Phys J 60, 26–36 (2017). https://doi.org/10.1007/s11182-017-1040-8
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DOI: https://doi.org/10.1007/s11182-017-1040-8