  A dynamically constrained phase-space coalescence (DCPC) model was introduced
to study the exotic state $\chi_{c 1}(3872)$ yield for three possible
structures: tetraquark state, nuclear-like state, and molecular state
respectively, where the hadronic final states generated by the parton and
hadron cascade model (PACIAE). The $\chi_{c 1}(3872)$/$\psi (2S)$ cross-section
ratio from beauty-hadron decays (non-prompt) based on the $\chi_{c 1}(3872)$ or
$\psi (2S)\to J/\psi{\pi^+}{\pi^-}$ bound state in the decay chains as a
function of charged-particle multiplicity and transverse momentum in $pp$
collisions at $\sqrt{s}=8\,\mathrm{TeV}$ are calculated. A tetraquark state
scenario from PACIAE+DCPC model shows better agreement with the LHCb and ATLAS
measurements for the non-prompt $\chi_{c 1}(3872)$/$\psi(2S)$ cross-section
ratio distributions, indicating that the $\chi_{c 1}(3872)$ is more likely to
be a compact tetraquark state.
