The study on the structure of exotic states $\chi_{c 1}(3872)$ via beauty-hadron decays in $pp$ collisions at $\sqrt{s}=8\,\mathrm{TeV}$

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.