Polarization and quantum entanglement effects in $$B^\pm _c\rightarrow J/\psi +\pi ^\pm +\pi ^0$$ B c ± → J / ψ + π ± + π 0 process

Abstract

Abstract Motivated by the very recent observation of the $$B^+_c\rightarrow J/\psi +\pi ^+ +\pi ^0$$ B c + → 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 $$B^+_c\rightarrow J/\psi +\pi ^+ +\pi ^0$$ B c + → J / ψ + π + + π 0 associated with $$J/\psi \rightarrow \mu ^++\mu ^-.$$ J / ψ → μ + + μ - . The helicity angular distributions are given in the QCD effective theory and the von Neumann entropy is obtained in $$B^\pm _c\rightarrow J/\psi (\rightarrow \mu ^+\mu ^-)+\rho ^\pm (\rightarrow \pi ^\pm \pi ^0)$$ B c ± → J / ψ ( → μ + μ - ) + ρ ± ( → π ± π 0 ) decay process.