Abstract
We employ the generalized parton picture to analyze the reaction \(\pi ^{-}~p \rightarrow D^{-}~{\varLambda }_{c}^{+}\). Thereby it is assumed that the process amplitude factorizes into one for the perturbatively calculable subprocess \(\bar{u}\ u\rightarrow \bar{c}\ c\) and hadronic matrix elements that can be parameterized in terms of generalized parton distributions for the \(\pi ^-\rightarrow D^-\) and \(p\rightarrow {\varLambda }_c^+\) transitions, respectively. Representing these parton distributions in terms of valence-quark light-cone wave functions for \(\pi \), D, p and \({\varLambda }_c\) allows us to make numerical predictions for unpolarized differential and integrated cross sections as well as spin observables. In the kinematical region where this approach is supposed to work, i.e. \(s\gtrsim 20\) GeV\(^2\) and in the forward hemisphere, the resulting cross sections are of the order of nb. This is a finding that could be of interest in view of plans to measure \(\pi ^{-}~p \rightarrow D^{-}~{\varLambda }_{c}^{+}\), e.g., at J-PARC or COMPASS.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
S.J. Brodsky, QCD in \(\bar{p}\) reactions, in Physics at LEAR with low energy antiprotons, ed. by C. Amsler, et al. (Harwood Academic Publishers, Villars-sur-Ollon, 1987), pp. 317–328
G. Pakhlova et al., [Belle Collaboration], Observation of a near-threshold enhancement in the \(e^+ e^- \rightarrow \varLambda ^+_c \,\varLambda ^-_c\) cross section using initial-state radiation. Phys. Rev. Lett. 101, 172001 (2008)
M.F. Lutz, et al., [PANDA Collaboration], Physics performance report for PANDA: strong interaction studies with antiprotons. (2009) arXiv:0903.3905 [hep-th]
K. Shirotori et al., Charmed baryon spectroscopy experiment at J-PARC. JPS Conf. Proc. 8, 022012 (2015)
A.T. Goritschnig, P. Kroll, W. Schweiger, Proton-antiproton annihilation into a \(\varLambda ^+_c \bar{\varLambda }_c^- \) pair. Eur. Phys. J. A 42, 43 (2009)
M. Diehl, T. Gousset, Time ordering in off diagonal parton distributions. Phys. Lett. B 428, 359 (1998)
S. Kofler, P. Kroll, W. Schweiger, \( \pi ^- p \rightarrow D^- \varLambda _{c}^{+} \) within the generalized parton picture. Phys. Rev. D 91, 054027 (2015)
M. Diehl, T. Feldmann, R. Jakob, P. Kroll, The overlap representation of skewed quark and gluon distributions. Nucl. Phys. B 596, 33 (2001); Erratum. Nucl. Phys. B 605, 647 (2001)
J. Bolz, P. Kroll, Modeling the nucleon wave function from soft and hard processes. Z. Phys. A 356, 327 (1996)
T. Feldmann, P. Kroll, Skewed parton distributions for \(B\rightarrow \pi \) transitions. Eur. Phys. J. C 12, 99 (2000)
J.G. Körner, P. Kroll, Heavy quark symmetry at large recoil: the case of baryons. Z. Phys. C 57, 383 (1993)
P. Ball, V.M. Braun, E. Gardi, Distribution amplitudes of the \(\varLambda _b\) baryon in QCD. Phys. Lett. B 665, 197 (2008)
A.T. Goritschnig, B. Pire, W. Schweiger, Double handbag description of proton-antiproton annihilation into a heavy meson pair. Phys. Rev. D 87, 014017 (2013); Erratum. Phys. Rev. D 88, 079903 (2013)
J.H. Christenson, E. Hummel, G.A. Kreiter, J. Sculli, P. Yamin, Limits on charm production in hadronic interactions near threshold. Phys. Rev. Lett. 55, 154 (1985)
S.H. Kim, H.C. Kim, H. Hosaka, \(K^0 \varLambda \) and \(D^- \varLambda _c^+\) production induced by pion beams off the nucleon. Phys. Rev. D 94, 094025 (2016)
J. Haidenbauer, G. Krein, Production of charmed baryons in \(\bar{p}\, p\) collisions close to their thresholds (2016) arXiv:1611.02985 [hep-th]
J. Haidenbauer, G. Krein, Production of charmed pseudoscalar mesons in antiproton-proton annihilation. Phys. Rev. D 89, 114003 (2014)
A.I. Titov, B. Kämpfer, Exclusive charm production in \(\bar{p}\, p\) collisions at \(\sqrt{s}\lesssim 15\) GeV. Phys. Rev. C 78, 025201 (2008)
A. Khodjamirian, C. Klein, T. Mannel, Y.M. Wang, How much charm can PANDA produce? Eur. Phys. J. A 48, 31 (2012)
P. Kroll, B. Quadder, W. Schweiger, Exclusive production of heavy flavors in proton-antiproton annihilation. Nucl. Phys. B 316, 373 (1989)
P. Jimenez-Delgado, T.J. Hobbs, J.T. Londergan, W. Melnitchouk, New limits on intrinsic charm in the nucleon from global analysis of parton distributions. Phys. Rev. Lett. 114, 082002 (2015)
Acknowledgements
Open access funding provided by Austrian Science Fund (FWF). S. Kofler acknowledges the support of the Fonds zur Förderung der wissenschaftlichen Forschung in Österreich (Grant No. FWF DK W1203-N16). We are thankful to S.-H. Kim for providing us with the numerical data of his results that are shown in Fig. 3.
Author information
Authors and Affiliations
Corresponding author
Additional information
This article belongs to the Topical Collection “Light Cone 2016”.
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
About this article
Cite this article
Kofler, S., Schweiger, W. A Perturbative QCD Approach to \(\varvec{\pi ^{-}~p \rightarrow D^{-}~{\varLambda }_{c}^{+}}\) . Few-Body Syst 58, 55 (2017). https://doi.org/10.1007/s00601-016-1197-7
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s00601-016-1197-7