Abstract
We present a study of the pion structure in the context of the AdS/QCD soft-wall model. This approach provides the light-front wave function of the pion in terms of a set of parameters that we fit to available experimental information on the electromagnetic form factor and parton distribution of the pion. We discuss the corresponding predictions for the unpolarized transverse momentum dependent parton distribution of the pion.
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Erlich, J., Katz, E., Son, D.T., Stephanov, M.A.: QCD and a holographic model of hadrons. Phys. Rev. Lett. 95, 261602 (2005)
Brodsky, S.J., de Teramond, G.F.: Hadronic spectra and light-front wavefunctions in holographic QCD. Phys. Rev. Lett. 96, 201601 (2006)
de Teramond, G.F., Brodsky, S.J.: Light-front holography: a first approximation to QCD. Phys. Rev. Lett. 102, 081601 (2009)
Karch, A., Katz, E., Son, D.T., Stephanov, M.A.: Linear confinement and AdS/QCD. Phys. Rev. D 74, 015005 (2006)
Brodsky, S.J., de Teramond, G.F., Dosch, H.G., Erlich, J.: Light-front holographic QCD and emerging confinement. Phys. Rep. 584, 1 (2015)
Brodsky, S.J., de Teramond, G.F.: Light-front dynamics and AdS/QCD correspondence: the pion form factor in the space- and time-like regions. Phys. Rev. D 77, 056007 (2008)
Brodsky, S.J., Cao, F.G., de Teramond, G.F.: Meson transition form factors in light-front holographic QCD. Phys. Rev. D 84, 075012 (2011)
Brodsky, S.J., de Teramond, G.F.: AdS/CFT and light-front QCD. Subnucl. Ser. 45, 139 (2009)
Vega, A., Schmidt, I., Branz, T., Gutsche, T., Lyubovitskij, V.E.: Meson wave function from holographic models. Phys. Rev. D 80, 055014 (2009)
Branz, T., Gutsche, T., Lyubovitskij, V.E., Schmidt, I., Vega, A.: Light and heavy mesons in a soft-wall holographic approach. Phys. Rev. D 82, 074022 (2010)
Brodsky, S.J., Pauli, H.C., Pinsky, S.S.: Quantum chromodynamics and other field theories on the light cone. Phys. Rep. 301, 299 (1998)
Amendolia, S.R., et al.: A measurement of the space-like pion electromagnetic form-factor. Nucl. Phys. B 277, 168 (1986)
Brauel, P., et al.: Electroproduction of \(\pi ^+ n\), \(\pi ^- p\) and \(K^+ \Lambda \), \(K^+ \Sigma ^0\) final states above the resonance region. Z. Phys. C 3, 101 (1979)
Volmer, J., et al.: Measurement of the charged pion electromagnetic form-factor. Phys. Rev. Lett. 86, 1713 (2001)
Bebek, C.J., et al.: Electroproduction of single pions at low epsilon and a measurement of the pion form-factor up to \(q^2\) = 10-GeV\(^2\). Phys. Rev. D 17, 1693 (1978)
Wijesooriya, K., Reimer, P.E., Holt, R.J.: The pion parton distribution function in the valence region. Phys. Rev. C 72, 065203 (2005)
Salam, G.P., Rojo, J.: A higher order perturbative parton evolution toolkit (HOPPET). Comput. Phys. Commun. 180, 120 (2009)
Vega, A., Schmidt, I.: Hadrons in AdS/QCD correspondence. Phys. Rev. D 79, 055003 (2009)
Forkel, H., Beyer, M., Frederico, T.: Linear square-mass trajectories of radially and orbitally excited hadrons in holographic QCD. JHEP 0707, 077 (2007)
Colangelo, P., De Fazio, F., Giannuzzi, F., Jugeau, F., Nicotri, S.: Light scalar mesons in the soft-wall model of AdS/QCD. Phys. Rev. D 78, 055009 (2008)
Swarnkar, R., Chakrabarti, D.: Meson structure in light-front holographic QCD. Phys. Rev. D 92(7), 074023 (2015)
Bacchetta, A., Cotogno, S., Pasquini, B.: Transverse structure of the pion from AdS/QCD correspondence
Gutsche, T., Lyubovitskij, V.E., Schmidt, I., Vega, A.: Light-front quark model consistent with Drell–Yan–West duality and quark counting rules. Phys. Rev. D 89(5), 054033 (2014)
Gutsche, T., Lyubovitskij, V.E., Schmidt, I., Vega, A.: Pion light-front wave function, parton distribution and the electromagnetic form factor. J. Phys. G 42(9), 095005 (2015)
Pasquini, B., Schweitzer, P.: Pion transverse momentum dependent parton distributions in a light-front constituent approach, and the Boer–Mulders effect in the pion-induced Drell–Yan process. Phys. Rev. D 90(1), 014050 (2014)
Acknowledgments
This work was partially supported through the McCartor Fund Fellowship program under the auspices of International Light-Cone Advisory Committee (ILCAC), and by the European Research Council (ERC) under the programs QWORK (contract No. 320389) and 3DSPIN (contract No. 647981).
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Presented by Sabrina Cotogno at Light Cone 2015, 21-25 September, 2015, INFN Frascati National Laboratories.
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Bacchetta, A., Cotogno, S. & Pasquini, B. Internal Structure of the Pion Inspired by the AdS/QCD Correspondence. Few-Body Syst 57, 443–447 (2016). https://doi.org/10.1007/s00601-016-1090-4
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DOI: https://doi.org/10.1007/s00601-016-1090-4