Effects of $N(2000)5/2^{+}$, $N(2060)5/2^{-}$, $N(2120)3/2^{-}$, and $N(2190)7/2^{-}$ on $K^{*}\mathrm{\Lambda }$ photoproduction

We reinvestigate $K^{*}\mathrm{\Lambda }(1116)$ photoproduction off the nucleon target, based on an effective Lagrangian approach. We include higher nucleon resonances such as $N(2000)5/2^{+}$, $N(2060)5/2^{-}$, $N(2120)3/2^{-}$, and $N(2190)7/2^{-}$, of which the data are taken from the 2012 edition of Review of Particle Physics, in addition to the $t$-channel diagrams ($K$, $K^{*}$, and $\kappa$), the $s$-channel nucleon, and $u$-channel hyperon ($\mathrm{\Lambda }$, $\mathrm{\Sigma }$, and ${\mathrm{\Sigma }}^{*}$) contributions. We find that the $N(2120)3/2^{-}$ and $N(2190)7/2^{-}$ resonances are essential in describing the new CLAS Collaboration data for charged $K^{*}$ photoproduction. On the other hand, they rarely affect neutral $K^{*}$ photoproduction.

Figure 1

The tree-level Feynman diagrams for the $\gamma N\to K^{*}\mathrm{\Lambda }$ reaction.

Figure 2

Total cross sections when using ${\mathrm{\Lambda }}_{K,\kappa }=1.25\mathrm{GeV}$ (thicker curves) and 1.1 GeV (thinner ones). The dashed curves are the results only with the Born terms, and the solid ones for the inclusion of resonances of Ref. [3].

Figure 3

The results of the total cross sections for the $\gamma p\to K^{*+}\mathrm{\Lambda }$ reaction in the left panel. The dashed curve includes the Born diagrams presented in Fig. 1 without the $N^{*}$ resonances. The dotted curve shows the contribution of the $N^{*}$ resonances. The solid curve draws the total contribution of all diagrams. The black circles denote the new CLAS data [1]. The right panel illustrates each contribution of the $N^{*}$ resonances.

Figure 4

Differential cross sections for the $\gamma p\to K^{*+}\mathrm{\Lambda }$ reaction as a function of $\cos \theta$ in the range of $1.7\mathrm{GeV}\le E_{\gamma }\le 3.9\mathrm{GeV}$. The notations are the same as in the left panel of Fig. 3.

Figure 5

The results of the total cross sections for the $\gamma n\to K^{*0}\mathrm{\Lambda }$ reaction in the left panel. The solid curve draws the total contribution of all diagrams, whereas the dashed one shows that of the Born terms except for the $N^{*}$ resonances. The dotted curve depicts the contribution of the $N^{*}$ resonances to the total cross section. The right panel illustrates each contribution of the $N^{*}$ resonances.

Figure 6

Differential cross sections for the $\gamma n\to K^{*0}\mathrm{\Lambda }$ reaction as a function of $\cos \theta$ in the range of $1.9\mathrm{GeV}\le E_{\gamma }\le 2.7\mathrm{GeV}$. The notations are the same as in the left panel of Fig. 5.

Figure 7

The photon-beam asymmetries as functions of $\cos \theta$ with two different photon energies, $E_{\gamma }=2.15\mathrm{GeV}$ and $E_{\gamma }=2.65\mathrm{GeV}$. In the upper panel, we draw the ${\mathrm{\Sigma }}_x$ for the $\gamma p\to K^{*+}\mathrm{\Lambda }$ reaction, while in the lower panel we do so for the $\gamma n\to K^{*0}\mathrm{\Lambda }$ reaction. The solid curves represent the total results including the $N^{*}$ resonances, whereas the dashed ones show those without them.

Figure 8

The target asymmetries as functions of $\cos \theta$ with two different photon energies, $E_{\gamma }=2.15\mathrm{GeV}$ and $E_{\gamma }=2.65\mathrm{GeV}$. In the upper panel, we draw the $T_y$ for the $\gamma p\to K^{*+}\mathrm{\Lambda }$ reaction, while in the lower panel we do so for the $\gamma n\to K^{*0}\mathrm{\Lambda }$ reaction. Notations are the same as in Fig. 7.

Figure 9

The recoil asymmetries as functions of $\cos \theta$ with two different photon energies, $E_{\gamma }=2.15\mathrm{GeV}$ and $E_{\gamma }=2.65\mathrm{GeV}$. In the upper panel, we draw the $P_y$ for the $\gamma p\to K^{*+}\mathrm{\Lambda }$ reaction, while in the lower panel we do so for the $\gamma n\to K^{*0}\mathrm{\Lambda }$ reaction. Notations are the same as in Fig. 7.

Figure 10

The beam-target asymmetries as functions of $\cos \theta$ with two different photon energies, $E_{\gamma }=2.15\mathrm{GeV}$ and $E_{\gamma }=2.65\mathrm{GeV}$. In the upper panel, we draw the $C_{zz}^{BT}$ for the $\gamma p\to K^{*+}\mathrm{\Lambda }$ reaction, while in the lower panel we do so for the $\gamma n\to K^{*0}\mathrm{\Lambda }$ reaction. Notations are the same as in Fig. 7.

Figure 11

The beam-recoil asymmetries as functions of $\cos \theta$ with two different photon energies, $E_{\gamma }=2.15\mathrm{GeV}$ and $E_{\gamma }=2.65\mathrm{GeV}$. In the upper panel, we draw the $C_{zz}^{BR}$ for the $\gamma p\to K^{*+}\mathrm{\Lambda }$ reaction, while in the lower panel we do so for the $\gamma n\to K^{*0}\mathrm{\Lambda }$ reaction. Notations are the same as in Fig. 7.

Figure 12

The target-recoil asymmetries as functions of $\cos \theta$ with two different photon energies, $E_{\gamma }=2.15\mathrm{GeV}$ and $E_{\gamma }=2.65\mathrm{GeV}$. In the upper panel, we draw the $C_{zz}^{TR}$ for the $\gamma p\to K^{*+}\mathrm{\Lambda }$ reaction, while in the lower panel we do so for the $\gamma n\to K^{*0}\mathrm{\Lambda }$ reaction. Notations are the same as in Fig. 7.

Figure 13

The target-vector-meson asymmetries as functions of $\cos \theta$ with two different photon energies, $E_{\gamma }=2.15\mathrm{GeV}$ and $E_{\gamma }=2.65\mathrm{GeV}$. In the upper panel, we draw the $C_{zz}^{TV}$ for the $\gamma p\to K^{*+}\mathrm{\Lambda }$ reaction, while in the lower panel we do so for the $\gamma n\to K^{*0}\mathrm{\Lambda }$ reaction. Notations are the same as in Fig. 7.

Figure 14

The recoil-vector-meson asymmetries as functions of $\cos \theta$ with two different photon energies, $E_{\gamma }=2.15\mathrm{GeV}$ and $E_{\gamma }=2.65\mathrm{GeV}$. In the upper panel, we draw the $C_{zz}^{RV}$ for the $\gamma p\to K^{*+}\mathrm{\Lambda }$ reaction, while in the lower panel we do so for the $\gamma n\to K^{*0}\mathrm{\Lambda }$ reaction. Notations are the same as in Fig. 7.