Theoretical study on the contributions of ω meson to the X(3872) → J/ψπ+π- and J/ψπ+π-π0 decays

With the new measurements of X(3872) -> J/psi pi(+)pi(-) from LHCb Collaboration, in addition to the dominant contribution from the rho(0) meson, we perform a theoretical study on the contribution of omega meson in the X(3872) -> J/psi pi(+)pi(-) and X(3872) -> J/psi pi(+)pi(-)pi(0) processes. For the X(3872) -> J/psi pi(+)pi(-) decay, in addition to the main contribution from rho(0) meson, we consider also the X(3872)J/psi omega coupling with omega meson decaying directly into pi(+)pi(-). It is found that the recent experimental measurements on the pi(+)pi(-) invariant mass distributions can be well reproduced, and the ratio of the couplings between X(3872) -> J/psi rho(0) and X(3872) -> J/psi omega is also evaluated. Within the parameters extracted from the pi(+)pi(-) invariant mass distributions of the X(3872) -> J/psi pi(+)pi(-) process, the branching fractions of the X(3872) -> J/psi omega channel relative to that of the X(3872) -> J/psi pi(+)pi(-)pi(0) channel and the pi(+)pi(-)pi(0) invariant mass distributions of the X(3872) -> J/psi pi(+)pi(-)pi(0) decay are calculated, which gives a hint for the further high-statistic experiment.