3 where f$_{1}$ = 4 . 52, f$_{2}$ = 5 . 63 are obtained from decay width Γ(Σ ∗ → Λ γ ) and model predicted helicity am- plitudes; and g$_{KN}$$_{Λ}$ = − 13 . 24 is estimated from flavor SU(3) symmetry relation as in Ref. [12]. For u-channel Σ ∗ exchange, the effective Lagrangian for γ Σ $^{∗}$Σ∗ is with where Q$_{Σ}$ ∗ denotes the electric charge of Σ ∗ in unit of e and κ$_{Σ}$ ∗ denotes the anomalous magnetic moment of Σ $^{∗}$; κ$_{Σ}$ $_{∗}$0 = 0 . 36 and κ$_{Σ}$ ∗− = − 2 . 43 are taken from the quark model prediction [23]. For each vertex of these channels, a form factor is at- tached to describe the off-shell properties of the ampli- tudes. For t-channel K meson exchange, we adopt the form factor [12] where q$_{t}$ = k − q is the 4-momentum transfer in t-channel. For the s-channel and u-channel processes, we adopt the form factor where the q$_{ex}$ and M$_{ex}$ are the 4-momentum and the mass of the exchanged hadron, respectively. For s-channel N and Δ exchange and the u-channel processes, we take n = 1 as in Ref. [12]; for s-channel resonances exchange, n → ∞ is taken to obtain the Gaussian form for the form factors [12] The cutoff parameters Λ$_{M}$ and Λ$_{B}$ were taken to be 0.83 and 1.0 GeV, respectively, in Refs. [9, 12], by fitting to the γp → K $^{+}$Σ ∗ 0 data. The contact term illustrated with Fig. 1(d) serves to keep the full amplitude gauge invariant. The contact currents for K Σ ∗ photoproduction are related to the La- grangian of Eq.(2). For the process γp → K $^{+}$Σ ∗ $^{0}$, we adopt the contact current [12, 18] where C ν is expressed as Since five quark components for baryons may exist, there may be a Σ( 1 2 $^{−}$) that has a large probability of five quark structure with mass near 1380 MeV as models pre- dict [13, 16]. Both Σ $^{∗}$( 3 2 $^{+}$) and Σ( 1 2 $^{−}$) decay strongly to For the s-channel resonances with sizeable width Γ, we replace the denominator 1 p $^{2}$− m 2 in the propagators by 1 p $^{2}$− m $^{2}$+ im $_{Γ}$, and replace m in the rest of the propagators by √ p $^{2}$. with for spin-5/2 propagator, where for spin-3/2 propagator; and Where f$_{u}$ = F 2 $_{B}$( u, M ∗ $_{Σ}$) is form factor squared, and u = q 2 u is squared momentum transfer for u-channel. For the propagators, we use 1 / ( q 2 t − m 2 $_{K}$) for t-channel K meson exchange. For the propagator of a baryon with mass m and 4-momentum p , we use p + m p $^{2}$− m 2 for spin-1/2 propagator; Here the Lorenz index µ and ν couple to that of Σ ∗ and the photon respectively; f$_{t}$ = F 2 M and f$_{s}$ = F 2 $_{B}$( s, M$_{N}$ ) are form factors squared, and t = q 2 t and s = q 2 s are squared momentum transfer for t- and s-channel; h is a parameter to be fitted to experiments, and h = 1 is used in Ref.[12]. From this contact term, we can check that the total amplitude is gauge invariant. For the process γn → K $^{+}$Σ $^{∗−}$, the contact current is [18] L γ Σ ∗ Σ ∗ = e Σ ∗ $_{µ}$A$_{α}$ Γ α,µν γ Σ ∗ Σ ∗ $_{ν}$, (13) A$_{α}$ Γ α,µν γ Σ ∗ = Q$_{Σ}$ ∗ A$_{α}$ ( g $^{µν}$γα − 1 2 ( γ $^{µ}$γ$^{ν}$γα + γ $^{α}$γ$^{µ}$γ$^{ν}$) ) − κ$_{Σ}$ ∗ 2 M$_{N}$ σ $^{αβ}$∂$_{β}$ A$_{α}$g $^{µν}$, (14) F$_{M}$ = Λ 2 M − m 2 K Λ 2 M q 2 t , (15) F$_{B}$ ( q 2 $_{ex}$, M$_{ex}$ ) = ( n Λ 4 B n Λ 4 B + ( q 2 ex − M 2 $_{ex}$) 2 ) n , (16) F$_{B}$ ( q 2 $_{s}$, M$_{R}$ ) | n →∞ = exp ( − ( q 2 s − M 2 $_{R}$) 2 Λ 4 B ) . (17) M µν c = ie f$_{KN}$$_{Σ}$ ∗ m$_{K}$ ( g $^{µν}$f$_{t}$ − q $^{µ}$C$^{ν}$) , (18) C ν = − (2 q − k ) ν f$_{t}$ − 1 t − m 2 K ( 1 − h (1 − f$_{s}$ ) − (2 p + k ) ν f$_{s}$ 1 s − M 2 N 1 − h (1 − f$_{t}$ ) . (19) g$_{µν}$ = g$_{µν}$ − p$_{µ}$p$_{ν}$ m 2 , γ$_{µ}$ = γ$_{µ}$ − p$_{µ}$ m 2 p. (25) S$_{αβµν}$ ( p, m ) = 1 2 ( g$_{αµ}$g$_{βν}$ + g$_{αν}$g$_{βµ}$ ) − 1 5 g$_{αβ}$g$_{µν}$ − 1 10 ( γ$_{α}$γ$_{µ}$g$_{βν}$ + γ$_{α}$γ$_{ν}$g$_{βµ}$ + γ$_{β}$γ$_{µ}$g$_{αν}$ + γ$_{β}$γ$_{ν}$g$_{αµ}$ ) , (24) p + m p 2 − m $_{2}$S$_{αβµν}$ ( p, m ) (23) p + m p 2 − m 2 ( − g µν + γ $^{µ}$γν 3 + γ $^{µ}$pν − γ $^{ν}$pµ 3 m + 2 p $^{µ}$pν 3 m 2 ) (22) C ν = − (2 q − k ) ν f$_{t}$ − 1 t − m 2 K ( 1 − h (1 − f$_{u}$ ) +(2 p ′ − k ) ν f$_{u}$ 1 u − M 2 Σ ∗ 1 − h (1 − f$_{t}$ ) . (21) M µν c = $_{ie}$√$_{2}$ f$_{KN}$$_{Σ}$ ∗ m$_{K}$ ( g $^{µν}$f$_{t}$ − q $^{µ}$C$^{ν}$) , (20) with B. K Σ( 1 2$^{−}$ ) photoproduction