“…2 (b) where the K * exchange of the natural parity in the photoproduction leads to the decay of the Λ * with helicity S z = ± 3 2 , which corresponds to the term of sin 2 θ * , whereas the K exchange of unnatural parity to the S z = ± 1 2 corresponding to the term of 1 3 + cos 2 θ * . Figure 3 shows the density matrix elements ρ 33 and ρ 11 calculated in the t-channel helicity frame of Λ * where the z-axis is taken to be the direction opposite to the target proton momentum [2,14,23], as presented in the Appendix. At the θ ≈ 0 • and at E γ = 3.8 GeV, together with the small negative values for the Re[ρ 32 ] and Re[ρ 3−1 ], we obtain ρ 33 = 0.375 and ρ 11 = 0.125, which are consistent with those extracted from the LAMP2 data given in Table 1 of Ref.…”