$f_0[2330]^{0}$ Two Body Decay Vertices(18)

There are 18 vertices in this part

Vertex 19: $\omega_3[1670]^{0}_{\mu ,\nu ,\alpha }~({p_1})~-\gamma^{0}_{ \beta }~({p_2})~-f_0[2330]^{0}({p_3})~$

$$\begin{eqnarray*} &V_{19}={\displaystyle{f_{914}g \over 2}}~({p_1}^2{p_2}_\nu {... ...nu {p_2}_\alpha -{p_2}_\nu {p_2}_ \alpha {p_3}^2g_{\mu ,\beta }) \end{eqnarray*}$$

Vertex 20: $\phi_3[1850]^{0}_{\mu ,\nu ,\alpha }~({p_1})~-\gamma^{0}_{\beta }~({p_2})~-f_0[2330]^{0}({p_3})~$

$$\begin{eqnarray*} &V_{20}={\displaystyle{f_{902}g \over 2}}~({p_1}^2{p_2}_\nu {... ...nu {p_2}_\alpha -{p_2}_\nu {p_2}_ \alpha {p_3}^2g_{\mu ,\beta }) \end{eqnarray*}$$

Vertex 21: $\omega[782]^{0}_{\mu }~({p_1})~-\gamma^{0}_{\nu }~({p_2})~- f_0[2330]^{0}({p_3})~$

$$\begin{eqnarray*} &V_{21}={\displaystyle{f_{152}g \over 2}}~({p_1}^2g_{\mu ,\nu }+2{p_1}_\nu {p_2}_\mu -{p_3}^2g_{\mu ,\nu }) \end{eqnarray*}$$

Vertex 22: $\omega[782]^{0}_{\mu }~({p_1})~-\omega[782]^{0}_{\nu }~({p_2})~- f_0[2330]^{0}({p_3})~$

$$\begin{eqnarray*} &V_{22}=g~({p_1}_\nu {p_2}_\mu f_{143}+g_{\mu ,\nu }f_{142}) \end{eqnarray*}$$

Vertex 23: $\phi[1020]^{0}_{\mu }~({p_1})~-\gamma^{0}_{\nu }~({p_2})~- f_0[2330]^{0}({p_3})~$

$$\begin{eqnarray*} &V_{23}={\displaystyle{f_{135}g \over 2}}~({p_1}^2g_{\mu ,\nu }+2{p_1}_\nu {p_2}_\mu -{p_3}^2g_{\mu ,\nu }) \end{eqnarray*}$$

Vertex 24: $\phi[1020]^{0}_{\mu }~({p_1})~-\omega[782]^{0}_{\nu }~({p_2})~- f_0[2330]^{0}({p_3})~$

$$\begin{eqnarray*} &V_{24}=g~({p_1}_\nu {p_2}_\mu f_{128}+g_{\mu ,\nu }f_{127}) \end{eqnarray*}$$

Vertex 25: $\phi[1020]^{0}_{\mu }~({p_1})~-\phi[1020]^{0}_{\nu }~({p_2})~- f_0[2330]^{0}({p_3})~$

$$\begin{eqnarray*} &V_{25}=g~({p_1}_\nu {p_2}_\mu f_{122}+g_{\mu ,\nu }f_{121}) \end{eqnarray*}$$

Vertex 26: $h_1[1170]^{0}_{\mu }~({p_1})~-\gamma^{0}_{\nu }~({p_2})~- f_0[2330]^{0}({p_3})~$

$$\begin{eqnarray*} &V_{26}=-\epsilon_{{p_1},{p_2},\mu ,\nu }f_{114}g \end{eqnarray*}$$

Vertex 27: $h_1[1170]^{0}_{\mu }~({p_1})~-\omega[782]^{0}_{\nu }~({p_2})~- f_0[2330]^{0}({p_3})~$

$$\begin{eqnarray*} &V_{27}=-\epsilon_{{p_1},{p_2},\mu ,\nu }f_{110}g \end{eqnarray*}$$

Vertex 28: $h_1[1170]^{0}_{\mu }~({p_1})~-\phi[1020]^{0}_{\nu }~({p_2})~- f_0[2330]^{0}({p_3})~$

$$\begin{eqnarray*} &V_{28}=-\epsilon_{{p_1},{p_2},\mu ,\nu }f_{108}g \end{eqnarray*}$$

Vertex 29: $h_1[1380]^{0}_{\mu }~({p_1})~-\gamma^{0}_{\nu }~({p_2})~- f_0[2330]^{0}({p_3})~$

$$\begin{eqnarray*} &V_{29}=-\epsilon_{{p_1},{p_2},\mu ,\nu }f_{101}g \end{eqnarray*}$$

Vertex 30: $h_1[1380]^{0}_{\mu }~({p_1})~-\omega[782]^{0}_{\nu }~({p_2})~- f_0[2330]^{0}({p_3})~$

$$\begin{eqnarray*} &V_{30}=-\epsilon_{{p_1},{p_2},\mu ,\nu }f_{97}g \end{eqnarray*}$$

Vertex 31: $\omega[1420]^{0}_{\mu }~({p_1})~-\gamma^{0}_{\nu }~({p_2})~- f_0[2330]^{0}({p_3})~$

$$\begin{eqnarray*} &V_{31}={\displaystyle{f_{90}g \over 2}}~({p_1}^2g_{\mu ,\nu }+2{p_1}_\nu {p_2}_\mu -{p_3}^2g_{\mu ,\nu }) \end{eqnarray*}$$

Vertex 32: $\omega[1420]^{0}_{\mu }~({p_1})~-\omega[782]^{0}_{\nu }~({p_2})~- f_0[2330]^{0}({p_3})~$

$$\begin{eqnarray*} &V_{32}=g~({p_1}_\nu {p_2}_\mu f_{88}+g_{\mu ,\nu }f_{87}) \end{eqnarray*}$$

Vertex 33: $h_1[1595]^{0}_{\mu }~({p_1})~-\gamma^{0}_{\nu }~({p_2})~- f_0[2330]^{0}({p_3})~$

$$\begin{eqnarray*} &V_{33}=-\epsilon_{{p_1},{p_2},\mu ,\nu }f_{80}g \end{eqnarray*}$$

Vertex 34: $\omega_[1650]^{0}_{\mu }~({p_1})~-\gamma^{0}_{\nu }~({p_2})~- f_0[2330]^{0}({p_3})~$

$$\begin{eqnarray*} &V_{34}={\displaystyle{f_{69}g \over 2}}~({p_1}^2g_{\mu ,\nu }+2{p_1}_\nu {p_2}_\mu -{p_3}^2g_{\mu ,\nu }) \end{eqnarray*}$$

Vertex 35: $\phi[1680]^{0}_{\mu }~({p_1})~-\gamma^{0}_{\nu }~({p_2})~- f_0[2330]^{0}({p_3})~$

$$\begin{eqnarray*} &V_{35}={\displaystyle{f_{60}g \over 2}}~({p_1}^2g_{\mu ,\nu }+2{p_1}_\nu {p_2}_\mu -{p_3}^2g_{\mu ,\nu }) \end{eqnarray*}$$

Vertex 36: $f_0[2330]^{0}({p_1})~-\eta^{0}({p_2})~-\eta^{0}({p_3})~$

$$\begin{eqnarray*} &V_{36}=f_{7}g \end{eqnarray*}$$