Production of X(3872) at PANDA

Abstract

The recently discovered $X$(3872) has many possible interpretations. We study the production of $X$(3872) with PANDA at GSI for the antiproton-proton collision with two possible interpretations of X(3872). One is as a loosely-bound molecule of $D$-mesons, while another is a 2P charmonium state ${\chi }_{c1}$ (2P). Using effective couplings we are able to give numerical predictions for the production near the threshold and the production associated with ${\pi }^0$. The produced $X$(3872) can be identified with its decay $J/\psi {\pi }^{+}{\pi }^{-}$. We also study the possible background near the threshold production for $X(3872)\to J/\psi {\pi }^{+}{\pi }^{-}$. With the designed luminosity $1.5{\mathrm{fb}}^{-1}$ per year of PANDA we find that the event number of $p\bar{p}\to J/\psi {\pi }^{+}{\pi }^{-}$ near the threshold is at the order of $10^6\sim 10^8$, where the large uncertainty comes from the total decay width of X(3872). Our study shows that at the threshold more than about 60% events come from the decay of X(3872) and two interpretations are distinguishable from the line-shape of the production. With our results we except that the PANDA experiments will shed light on the property of X(3872).

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• The hidden-charm pentaquark and tetraquark states
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• X(3872) and the bound state problem of $D^0{\bar{D}}^{\ast 0}$ (${\bar{D}}^0{D}^{\ast 0}$) in a chiral quark model
• Production of charmed baryon ${\Lambda }_c(2940{)}^{+}$ at PANDA
• Discovery potential for the LHCb fully-charm tetraquark $X(6900)$ state via $\bar{p}p$ annihilation reaction
• Feasibility study for the measurement of $\pi N$ TDAs at PANDA in $\bar{p}p\to J/\psi {\pi }^0$
• Measurements of the branching fractions of $B^{+}\to p\bar{p}{K}^{+}$ decays
• Discovery potential for the neutral charmoniumlike $Z^0(4200)$ by $\bar{p}p$ annihilation
• The PANDA Experiment at FAIR - Subatomic Physics with Antiprotons