2019
Physical review letters 123(3), 032001 (2019). doi:10.1103/PhysRevLett.123.032001
Based on the hypothesis that the $X(3872)$ exotic hadron is a mixture of $χ_{c1}(2P)$ and other states and that its prompt hadroproduction predominately proceeds via its $χ_{c1}(2P)$ component, we calculate the prompt-$X(3872)$ polarization at the CERN LHC through next-to-leading order in αs within the factorization formalism of nonrelativistic QCD, including both the color-singlet $^{3}P^{[1]}_1$ and color-octet $^{3}S^{[8]}_1 c\bar{c}$ Fock states. We also consider the polarization of the $J/ψ$ produced by the subsequent $X(3872)$ decay. We predict that, under ATLAS, CMS, and LHCb experimental conditions, the $X(3872)$ is largely longitudinally polarized, while the $J/ψ$ is largely transversely polarized. We propose that the LHC experiments perform such polarization measurements to pin down the nature of the $X(3872)$ and other X, Y, Z exotic states with non-zero spin.
Published by APS, College Park, Md.
10.3204/PUBDB-2019-03328
en
2019
Deutsches Elektronen-Synchrotron, DESY, Hamburg
10.1103/PhysRevLett.123.032001
0031-9007
1079-7114
1092-0145
Report
pages 032001
530
Deciphering the $X(3872)$ via its polarization in prompt production at the CERN LHC
Butenschoen, Mathias
He, Zhi-Guo
Kniehl, Bernd A.