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The Charm Pentaquark and Kinematic Reflection
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hep-ex/02
February 4, 2008
The Charm Pentaquark and Kinematic
Reflection.
M.Zavertyaev
P.N.Lebedev Physical Institute,117924 Moscow B-333, Russia
Abstract
A simple example of the kinematic reflection in the D?p system at about 3.1 GeV/c 2 is given.
1 Introduction
The anti-charm pentaquark θc = uuddc was observed by the H1 experiment at HERA [1] in the D
??p and
D?+p modes in ep collision at
√
s of 300 and 320 GeV. A narrow peak of 50 events was observed at about 3.1
GeV/c 2 with the width consistent with the detector resolution. The search for θc was performed by other
experiments [2–7] with the negative result.
But irrelevant to the result of other experiments the invariant mass spectrum ofD??p andD?+p presented
by H1 experiment has the peak and the question is what might be the explanation for this particular case.
2 Monte Carlo simulation.
The D?+ meson was observed via the decay chain D?+ → D0π+ → K?π+π+. For the pentaquark search
one more negative particle (anti-proton in this case) is needed. Let us try for the moment calculate the
invariant mass of three particles combination K?π+π+ - decay products of D?+ plus the same K? but
assigning to it the mass of the proton. In simulation the D?+ momentum was uniformly distributed in the
range of 20-30 GeV/c 2.
The result is presented in Fig. 1 overlapped with the plot published by H1 experiment [1]. On the
top frame the invariant mass of combinations with all “proton” momentum is shown, on the bottom only
combinations with the “proton” momentum (and kaon as well) above 20 GeV/c are shown.
The features of the simulated mass spectrum are very interesting. The maximum of the distribution
miraculously coincides with the position of the experimental pentaquark peak at 3.1 GeV/c 2. The low edge
of the distribution is a kinematic limit for the combination, while the tail at higher masses shrinks with the
increase of the cut on the negative particle momentum,
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