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Diffractive $J / ψ$ photoproduction in a dual model

R. Fiore¹, L. L. Jenkovszky², V. K. Magas³, F. Paccanoni⁴, and A. Prokudin⁵

¹Universita’ della Calabria, Dipartimento di Fisica Arcavacata di Rende, I-87030 Cosenza, Calabria, Italy
²Bogolyubov Institute for Theoretical Physics (BITP), Ukrainian National Academy of Sciences, 14-b, Metrolohichna street, Kiev, 03143, Ukraine
³Departament d’Estructura i Constituents de la Matéria, Universitat de Barcelona, Diagonal 647, 08028 Barcelona, Spain
⁴Universita’ di Padova, Dipartimento di Fisica and INFN, sezione di Padova, via Marzolo 8, I-35100 Padua, Italy
⁵Dipartimento di Fisica Teorica, Università di Torino and INFN, Sezione di Torino, via P. Giuria 1, I-10125 Torino, Italy

Phys. Rev. D 75, 116005 – Published 28 June, 2007

DOI: https://doi.org/10.1103/PhysRevD.75.116005

Abstract

$J / ψ$ photoproduction is studied in the framework of the analytic $S$ -matrix theory. The differential and integrated elastic cross sections for $J / ψ$ photoproduction are calculated from a dual amplitude with Mandelstam analyticity. It is argued that, at low energies, the background, which is the low-energy equivalent of the high-energy diffraction, replaces the Pomeron exchange. The onset of the high-energy Pomeron dominance is estimated from the fits to the data.

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References (25)

I. Ivanov, N. Nikolaev, and A. Savin, Phys. Part. Nucl. 37, 1 (2006).
G. Veneziano, Nuovo Cimento A 57, 190 (1968).
S. Okubo, Phys. Lett. 5, 165 (1963); G. Zweig, CERN Report No. 401, 402, 412, 1964; J. Iizuka, Prog. Theor. Phys. Suppl. 37-38, 21 (1966).
H. Harari, Phys. Rev. Lett. 22, 562 (1969); J. Rosner, 22, 689 (1969).
A. I. Bugrij, L. L. Jenkovszky, and N. A. Kobylinsky, Lett. Nuovo Cimento 5, 389 (1972).
A. I. Bugrij et al., Fortschr. Phys. 21, 427 (1973).
L. L. Enkovski, Yad. Fiz. 21, 213 (1974) [Sov. J. Nucl. Phys. 21, 213 (1974)].
J. J. Sakurai, Ann. Phys. (Paris) 11, 1 (1960); J. J. SakuraiCurrents and Mesons (University of Chicago Press, Chicago, 1969); J. J. Sakurai and D. Schildknecht, Phys. Lett. 40B, 121 (1972); J. Alwall and G. Ingelman, arXiv:hep-ph/0310233; for a recent review see D. Schildknecht, Acta Phys. Pol. B 37, 595 (2006).
P. D. B. Collins, An Introduction to Regge Theory and High Energy Physics (Cambridge University Press, Cambridge, England, 1977).
L. L. Jenkovszky, E. S. Martynov, and F. Paccanoni, in HADRONS-96, Novy Svet, 1996, edited by G. V. Bugrij, L. L. Jenkovszky, and E. S. Martynov (BITP, Kiev, 1996), p. 170; A. Afanasev, C. E. Carlson, and C. Wahlquist, Phys. Rev. D 61, 034014 (2000).
L. L. Jenkovszky, S. Yu. Kononenko, and V. K. Magas, arXiv:hep-ph/0211158.
By having accepted vector dominance, we thus reduce $J / ϕ$ photoproduction to $J / ψ − p$ scattering.
L. L. Jenkovszky, N. A. Kobylinsky, and A. B. Prognimak, Ann. Phys. (Berlin) 32, 81 (1975).
R. Fiore, L. L. Jenkovszky, F. Paccanoni, and A. Papa, Phys. Rev. D 65, 077505 (2002), and references therein.
R. Fiore, L. Jenkovszky, and F. Paccanoni, Eur. Phys. J. C 10, 461 (1999);
A. Brandt et al., Nucl. Phys. B514, 3 (1998).
E. S. Martynov, A. Prokudin, and E. Predazzi, Eur. Phys. J. C 26, 271 (2002); A. Prokudin, E. S. Martynov, and E. Predazzi, arXiv:hep-ph/0211430.
Note that for $D (s, t)$ and $D (u, t)$ , taken separately, only the imaginary parts are convergent, while their real parts diverge. However, for their difference, Eq. (12), the real part also becomes convergent.
We calculate the highly oscillating integral, Eq. (12), by using the QUADPACK FORTRAN package [20].
http://www.netlib.org/quadpack/.
A. Aktas et al. (H1 Collaboration), Eur. Phys. J. C 46, 585 (2006).
S. Chekanov et al. (ZEUS Collaboration), Eur. Phys. J. C 24, 345 (2002).
M. Capua et al., Phys. Lett. B 645, 161 (2007).
L. Jenkovszky, V. Magas, and E. Predazzi, Eur. Phys. J. A 12, 361 (2001).
V. K. Magas, Phys. At. Nucl. 68, 104 (2005); arXiv:hep-ph/0411335; arXiv:hep-ph/0611119.

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Diffractive $J / ψ$ photoproduction in a dual model

Abstract

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Exclusive $J / Ψ$ electroproduction in a dual model

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Diffractive J/ψ photoproduction in a dual model

Abstract

See Also

Exclusive J/Ψ electroproduction in a dual model

Article Text

References (25)

Diffractive $J / ψ$ photoproduction in a dual model

Exclusive $J / Ψ$ electroproduction in a dual model