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      Experimental access to Transition Distribution Amplitudes with the \={P}ANDA experiment at FAIR

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          Abstract

          Baryon-to-meson Transition Distribution Amplitudes (TDAs) encoding valuable new information on hadron structure appear as building blocks in the collinear factorized description for several types of hard exclusive reactions. In this paper, we address the possibility of accessing nucleon-to-pion (\(\pi N\)) TDAs from \(\bar{p}p \to e^+e^- \pi^0\) reaction with the future \={P}ANDA detector at the FAIR facility. At high center of mass energy and high invariant mass squared of the lepton pair \(q^2\), the amplitude of the signal channel \(\bar{p}p \to e^+e^- \pi^0\) admits a QCD factorized description in terms of \(\pi N\) TDAs and nucleon Distribution Amplitudes (DAs) in the forward and backward kinematic regimes. Assuming the validity of this factorized description, we perform feasibility studies for measuring \(\bar{p}p \to e^+e^- \pi^0\) with the \={P}ANDA detector. Detailed simulations on signal reconstruction efficiency as well as on rejection of the most severe background channel, i.e. \(\bar{p}p \to \pi^+\pi^- \pi^0\) were performed for the center of mass energy squared \(s = 5\) GeV\(^2\) and \(s = 10\) GeV\(^2\), in the kinematic regions \(3.0 < q^2 < 4.3\) GeV\(^2\) and \(5 < q^2 < 9\) GeV\(^2\), respectively, with a neutral pion scattered in the forward or backward cone \(| \cos\theta_{\pi^0}| > 0.5 \) in the proton-antiproton center of mass frame. Results of the simulation show that the particle identification capabilities of the \={P}ANDA detector will allow to achieve a background rejection factor of \(5\cdot 10^7\) (\(1\cdot 10^7\)) at low (high) \(q^2\) for \(s=5\) GeV\(^2\), and of \(1\cdot 10^8\) (\(6\cdot 10^6\)) at low (high) \(q^2\) for \(s=10\) GeV\(^2\), while keeping the signal reconstruction efficiency at around \(40\%\). At both energies, a clean lepton signal can be reconstructed with the expected statistics corresponding to \(2\) fb\(^{-1}\) of integrated luminosity. (.../...)

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          Author and article information

          Journal
          2014-09-02
          2016-11-30
          Article
          1409.0865
          38c8559e-f57d-4841-93b1-5128d42e0fe4

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

          History
          Custom metadata
          19 pages, 7 figures (some multiple), 2 tables (each double), preprint of an article for epj - v2
          hep-ex hep-ph nucl-ex

          High energy & Particle physics,Nuclear physics
          High energy & Particle physics, Nuclear physics

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