$\Lambda (1520,3/2^{-})$-photoproduction reaction via $\gamma N\to K{\Lambda }^{*}(1520)$

We investigate $\Lambda (1520,3/2^{-},D_{03})$ photoproduction via the $\gamma N\to K{\Lambda }^{*}$ process. Using effective Lagrangians, we compute the total and differential cross sections. The dependence on the momentum transfer for the photoproduction at the tree-level is also examined. We find that the total cross sections for the proton target are well reproduced as compared with the experimental data. It turns out that the total cross sections for the neutron target are significantly smaller than those for the proton one. We also compare the present results with the $\gamma N\to \overline{K}{\Theta }^{+}$ reaction in order to extract information of ${\Theta }^{+}$. The role of $K^{*}$-exchange in the production reaction is also discussed.

Figure 1

The Feynmann diagrams

Figure 2

Each contribution of various channels to the total cross sections without form factors. In the left panel, the total cross section for the proton target is depicted, while in the right panel that for the neutron one is drawn. We choose the parameters as follows: $({\kappa }_{{\Lambda }^{*}},X)=(1,1)$ and $g_{KN{\Lambda }^{*}}=+11$.

Figure 3

The total cross sections for the proton target with the form factor $F_1$. The $s$-, $t$- and $c$-channel contributions are drawn separately. The experimental data are taken from Ref. [4]

Figure 4

The total cross sections for the proton target with the form factor $F_1$. We choose $({\kappa }_{{\Lambda }^{*}},X)=(-0.5,0)$ and $(0.5,1)$ in order to see the parameter dependence. We choose three different values of the coupling constant $g_{K^{*}N{\Lambda }^{*}}=0$ and $\pm 11$.

Figure 5

The $t$-dependence for the proton target at $E_{\gamma }=3.8$ GeV. We choose $({\kappa }_{{\Lambda }^{*}},X)=(0,0)$. The experimental data are taken from Ref. [4]

Figure 6

The differential cross sections for the proton target with the form factor $F_1$. Several photon energies are taken into account. We choose $({\kappa }_{{\Lambda }^{*}},X)=(0,0)$.

Figure 7

In the left panel, the total cross sections are depicted for the neutron target with the form factor $F_1$, while in the right panel the $t$-dependence is drawn at $E_{\gamma }=3.8$ GeV. We choose $({\kappa }_{{\Lambda }^{*}},X)=(0,0)$ and three different values of the coupling constants, i.e. $g_{K^{*}N{\Lambda }^{*}}=0$ and $\pm 11$.

Figure 8

The differential cross sections for the neutron target with the form factor $F_1$. Several photon energies are taken into account. We choose $({\kappa }_{{\Lambda }^{*}},X)=(0,0)$.

Figure 9

In the left panel, the total cross sections are depicted for the proton target with the form factor $F_1$, while in the right panel the $t$-dependence is drawn for the proton target at $E_{\gamma }=3.8$ GeV. We choose $({\kappa }_{{\Lambda }^{*}},X)=(0,0)$ and three different values of the coupling constants, i.e. $g_{K^{*}N{\Lambda }^{*}}=0$ and $\pm 11$.

Figure 10

The differential cross sections for the proton target with the form factor $F_2$. Several photon energies are taken into account. We choose $({\kappa }_{{\Lambda }^{*}},X)=(0,0)$.

Figure 11

In the left panel, the total cross sections are depicted for the neutron target with the form factor $F_1$, while in the right panel the $t$-dependence is drawn at $E_{\gamma }=3.8$ GeV. We choose $({\kappa }_{{\Lambda }^{*}},X)=(0,0)$ and three different values of the coupling constants, i.e. $g_{K^{*}N{\Lambda }^{*}}=0$ and $\pm 11$.

Figure 12

The differential cross sections for the neutron target with the form factor $F_2$. Several photon energies are taken into account. We choose $({\kappa }_{{\Lambda }^{*}},X)=(0,0)$.

Figure 13

The $t$-dependence for each helicity of the ${\Lambda }^{*}$ in the final state. We change the coupling constant $g_{K^{*}N{\Lambda }^{*}}$. We choose $({\kappa }_{{\Lambda }^{*}},X)=(0,0)$.

Figure 14

The $t$-dependence for the two helicities $S_z=\pm 1/2$ and $S_z=\pm 3/2$ for the $c$-, $t$- and $v$-channels.