$f_0[2200]^{0}$ Two Body Decay Vertices(17)

There are 17 vertices in this part

Vertex 18: $\omega_3[1670]^{0}_{\mu ,\nu ,\alpha }~({p_1})~-\gamma^{0}_{ \beta }~({p_2})~-f_0[2200]^{0}({p_3})~$

$$\begin{eqnarray*} &V_{18}={\displaystyle{f_{915}g \over 2}}~({p_1}^2{p_2}_\nu {... ...nu {p_2}_\alpha -{p_2}_\nu {p_2}_ \alpha {p_3}^2g_{\mu ,\beta }) \end{eqnarray*}$$

Vertex 19: $\phi_3[1850]^{0}_{\mu ,\nu ,\alpha }~({p_1})~-\gamma^{0}_{\beta }~({p_2})~-f_0[2200]^{0}({p_3})~$

$$\begin{eqnarray*} &V_{19}={\displaystyle{f_{903}g \over 2}}~({p_1}^2{p_2}_\nu {... ...nu {p_2}_\alpha -{p_2}_\nu {p_2}_ \alpha {p_3}^2g_{\mu ,\beta }) \end{eqnarray*}$$

Vertex 20: $\omega[782]^{0}_{\mu }~({p_1})~-\gamma^{0}_{\nu }~({p_2})~- f_0[2200]^{0}({p_3})~$

$$\begin{eqnarray*} &V_{20}={\displaystyle{f_{153}g \over 2}}~({p_1}^2g_{\mu ,\nu }+2{p_1}_\nu {p_2}_\mu -{p_3}^2g_{\mu ,\nu }) \end{eqnarray*}$$

Vertex 21: $\omega[782]^{0}_{\mu }~({p_1})~-\omega[782]^{0}_{\nu }~({p_2})~- f_0[2200]^{0}({p_3})~$

$$\begin{eqnarray*} &V_{21}=g~({p_1}_\nu {p_2}_\mu f_{145}+g_{\mu ,\nu }f_{144}) \end{eqnarray*}$$

Vertex 22: $\phi[1020]^{0}_{\mu }~({p_1})~-\gamma^{0}_{\nu }~({p_2})~- f_0[2200]^{0}({p_3})~$

$$\begin{eqnarray*} &V_{22}={\displaystyle{f_{136}g \over 2}}~({p_1}^2g_{\mu ,\nu }+2{p_1}_\nu {p_2}_\mu -{p_3}^2g_{\mu ,\nu }) \end{eqnarray*}$$

Vertex 23: $\phi[1020]^{0}_{\mu }~({p_1})~-\omega[782]^{0}_{\nu }~({p_2})~- f_0[2200]^{0}({p_3})~$

$$\begin{eqnarray*} &V_{23}=g~({p_1}_\nu {p_2}_\mu f_{130}+g_{\mu ,\nu }f_{129}) \end{eqnarray*}$$

Vertex 24: $\phi[1020]^{0}_{\mu }~({p_1})~-\phi[1020]^{0}_{\nu }~({p_2})~- f_0[2200]^{0}({p_3})~$

$$\begin{eqnarray*} &V_{24}=g~({p_1}_\nu {p_2}_\mu f_{124}+g_{\mu ,\nu }f_{123}) \end{eqnarray*}$$

Vertex 25: $h_1[1170]^{0}_{\mu }~({p_1})~-\gamma^{0}_{\nu }~({p_2})~- f_0[2200]^{0}({p_3})~$

$$\begin{eqnarray*} &V_{25}=-\epsilon_{{p_1},{p_2},\mu ,\nu }f_{115}g \end{eqnarray*}$$

Vertex 26: $h_1[1170]^{0}_{\mu }~({p_1})~-\omega[782]^{0}_{\nu }~({p_2})~- f_0[2200]^{0}({p_3})~$

$$\begin{eqnarray*} &V_{26}=-\epsilon_{{p_1},{p_2},\mu ,\nu }f_{111}g \end{eqnarray*}$$

Vertex 27: $h_1[1170]^{0}_{\mu }~({p_1})~-\phi[1020]^{0}_{\nu }~({p_2})~- f_0[2200]^{0}({p_3})~$

$$\begin{eqnarray*} &V_{27}=-\epsilon_{{p_1},{p_2},\mu ,\nu }f_{109}g \end{eqnarray*}$$

Vertex 28: $h_1[1380]^{0}_{\mu }~({p_1})~-\gamma^{0}_{\nu }~({p_2})~- f_0[2200]^{0}({p_3})~$

$$\begin{eqnarray*} &V_{28}=-\epsilon_{{p_1},{p_2},\mu ,\nu }f_{102}g \end{eqnarray*}$$

Vertex 29: $h_1[1380]^{0}_{\mu }~({p_1})~-\omega[782]^{0}_{\nu }~({p_2})~- f_0[2200]^{0}({p_3})~$

$$\begin{eqnarray*} &V_{29}=-\epsilon_{{p_1},{p_2},\mu ,\nu }f_{98}g \end{eqnarray*}$$

Vertex 30: $\omega[1420]^{0}_{\mu }~({p_1})~-\gamma^{0}_{\nu }~({p_2})~- f_0[2200]^{0}({p_3})~$

$$\begin{eqnarray*} &V_{30}={\displaystyle{f_{91}g \over 2}}~({p_1}^2g_{\mu ,\nu }+2{p_1}_\nu {p_2}_\mu -{p_3}^2g_{\mu ,\nu }) \end{eqnarray*}$$

Vertex 31: $h_1[1595]^{0}_{\mu }~({p_1})~-\gamma^{0}_{\nu }~({p_2})~- f_0[2200]^{0}({p_3})~$

$$\begin{eqnarray*} &V_{31}=-\epsilon_{{p_1},{p_2},\mu ,\nu }f_{81}g \end{eqnarray*}$$

Vertex 32: $\omega_[1650]^{0}_{\mu }~({p_1})~-\gamma^{0}_{\nu }~({p_2})~- f_0[2200]^{0}({p_3})~$

$$\begin{eqnarray*} &V_{32}={\displaystyle{f_{70}g \over 2}}~({p_1}^2g_{\mu ,\nu }+2{p_1}_\nu {p_2}_\mu -{p_3}^2g_{\mu ,\nu }) \end{eqnarray*}$$

Vertex 33: $\phi[1680]^{0}_{\mu }~({p_1})~-\gamma^{0}_{\nu }~({p_2})~- f_0[2200]^{0}({p_3})~$

$$\begin{eqnarray*} &V_{33}={\displaystyle{f_{61}g \over 2}}~({p_1}^2g_{\mu ,\nu }+2{p_1}_\nu {p_2}_\mu -{p_3}^2g_{\mu ,\nu }) \end{eqnarray*}$$

Vertex 34: $f_0[2200]^{0}({p_1})~-\eta^{0}({p_2})~-\eta^{0}({p_3})~$

$$\begin{eqnarray*} &V_{34}=f_{8}g \end{eqnarray*}$$