Abstract
In this paper,a formalism is presented for the helicity amplitude analysis of the decays Ψ(2S)→γ1x cJ,x cJ→γ2 V(V=ρ0,ø,ω)(subscripts 1 and 2 are used to distinguish the two radiative photons),and the po-larization expressions of the P-wave charmonia x cJ and the vector mesons ρ0,ø,ω for experimental measurements at an electron-positron collider.In addition,we derive formulae for the angular distributions of x c1,2 →γ V to extract the degree of transverse polarization P T of e+e-pairs with symmetric beam energy as well as the ratios of two heli-city amplitudes x(in x c1 decays)and x,y(in x c2 decays),which represent the relative magnitudes of transverse to longitudinal polarization amplitude.The results are validated by Monte Carlo simulation.Finally,the statistical sens-itivity of P T,x,and y are estimated based on the large Ψ(2S)data samples collected at current and proposed future e+e-collider experiments.
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