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تسجيل مستخدم جديدComment on `Note on X(3872) production at hadron colliders and its molecular structure
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We briefly comment on the paper by Albaladejo et al. [arXiv:1709.09101], rejecting its conclusions.
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The production of the X(3872) as a hadronic molecule in hadron colliders is clarified. We show that the conclusion of Bignamini et al., Phys. Rev. Lett. 103 (2009) 162001, that the production of the X(3872) at high $p_T$ implies a non-molecular struc
ture, does not hold. In particular, using the well understood properties of the deuteron wave function as an example, we identify the relevant scales in the production process.
We evaluate the production cross sections of $X(3872)$ at the LHC and Tevatron at NLO in $alpha_s$ in NRQCD by assuming that the short-distance production proceeds dominantly through its $chi_{c1}$ component in our $chi_{c1}mbox{-}D^0bar{D}^{*0}$ mix
ing model for $X(3872)$. The outcomes of the fits to the CMS $p_T$ distribution can well account for the recent ATLAS data in a much larger range of transverse momenta ($10~mbox{GeV}<p_T<70~mbox{GeV}$), and the CDF total cross section data, and are also consistent with the value of $k=Z_{cbar c}cdot Br(Xto J/psipi^+pi^-)$ constrained by the $B$-meson decay data. %It can also well describe the behavior of the CDF $psi(2S)$ data, which show a strong %resemblance to that of the X(3872). For LHCb the predicted X(3872) total cross section is larger than the data by a factor of 2, which is due to the problem of the fixed-order NRQCD calculation that may not be applicable for the region with small $p_T$ ($p_Tsim 5 ~mbox{GeV}$) and large forward rapidity $(2.5<y<4.5)$. In comparison, the prediction of molecule production mechanism for $X(3872)$ is inconsistent with both $p_T$ distributions and total cross sections of CMS and ATLAS, and the total cross section of CDF.
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