Polarization and quantum entanglement effects in $B^\pm_c\to J/ψ+π^\pm +π^0$ process

Abstract

Motivated by the very recent observation of the $B^+_c\to J/ψ+π^+ +π^0$ decay using proton-proton collision data by the LHCb collaboration, we study the four-body angular distributions and the quantum entanglement effects in the $B^+_c\to J/ψ+π^+ +π^0$ associated with $J/ψ\to μ^++μ^-$. The helicity angular distributions are given in the QCD effective theory and the von Neumann entropy is obtained in $B^\pm_c\to J/ψ(\to μ^+μ^-)+ρ^\pm(\to π^\pm π^0)$ decay process.