Note on X(3872) production at hadron colliders and its molecular structure**Supported by DFG and NSFC through funds provided to the Sino-German CRC 110 “Symmetries and the Emergence of Structure in QCD” (NSFC (11621131001), DFG (TRR110)), by NSFC (11647601), by the CAS Key Research Program of Frontier Sciences (QYZDB-SSW-SYS013), by the Thousand Talents Plan for Young Professionals, by the CAS President’s

Miguel Albaladejo,Christoph Hanhart,Feng-Kun Guo,Ulf-G Meißner,Zhi Yang,Andreas Nogga,Juan Nieves

doi:10.1088/1674-1137/41/12/121001

Abstract

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 pT implies a non-molecular structure, 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.

Highlights

The production of the X(3872) as a hadronic molecule in hadron colliders is clarified
In Ref. [1] it is claimed that the fact that the X(3872) was observed at high pT at Tevatron in pp collisions is inconsistent with the interpretation of X(3872) as a D0D 0 ∗ + c.c. molecule
The authors concluded that the empirical production rate at high pT is inconsistent with a prominent D0D ∗0 molecular nature of the X(3872). In this short note we challenge the reasoning of Ref. [1] by showing that R should be significantly larger which leads to cross section estimates for the production of a molecular X(3872) that are consistent with both the CDF and CMS measurements

Summary

Introduction

The production of the X(3872) as a hadronic molecule in hadron colliders is clarified. The whole argument depends crucially on the value of R which specifies the region where the bound state wave function “Ψ(k) is significantly different from zero” [1].

Results

Conclusion