$f_2[1640]^{0}$ Two Body Decay Vertices(8)

There are 8 vertices in this part

Vertex 9: $f_2[1640]^{0}_{\mu ,\nu }~({p_1})~-\omega[782]^{0}_{\alpha }~( {p_2})~-\gamma^{0}_{\beta }~({p_3})~$

$$\begin{eqnarray*} &V_{9}={\displaystyle{g \over 2}}~({p_1}^2{p_3}_\nu {p_3}_\al... ...beta } f_{1080}-2{p_3}_\nu {p_3}_\alpha g_{\mu ,\beta }f_{1080}) \end{eqnarray*}$$

Vertex 10: $f_2[1640]^{0}_{\mu ,\nu }~({p_1})~-\omega[782]^{0}_{\alpha }~( {p_2})~-\omega[782]^{0}_{\beta }~({p_3})~$

$$\begin{eqnarray*} &V_{10}=g~({p_1}_\alpha {p_1}_\beta {p_2}_\mu {p_2}_\nu f_{10... ... ,\beta }f_{1076} \\ &+g_{\mu ,\alpha }g_{\nu , \beta }f_{1074}) \end{eqnarray*}$$

Vertex 11: $f_2[1640]^{0}_{\mu ,\nu }~({p_1})~-\phi[1020]^{0}_{\alpha }~( {p_2})~-\gamma^{0}_{\beta }~({p_3})~$

$$\begin{eqnarray*} &V_{11}={\displaystyle{g \over 2}}~({p_1}^2{p_3}_\nu {p_3}_\a... ...beta } f_{1072}-2{p_3}_\nu {p_3}_\alpha g_{\mu ,\beta }f_{1072}) \end{eqnarray*}$$

Vertex 12: $f_2[1640]^{0}_{\mu ,\nu }~({p_1})~-h_1[1170]^{0}_{\alpha }~({p_2} )~-\gamma^{0}_{\beta }~({p_3})~$

$$\begin{eqnarray*} &V_{12}={\displaystyle{g \over 2}}~({p_1}^2{p_3}_\nu \epsilon... ...8}+2g_{\nu ,\beta }\epsilon_{{p_1}, {p_3},\mu ,\alpha }f_{1069}) \end{eqnarray*}$$

Vertex 13: $f_2[1640]^{0}_{\mu ,\nu }~({p_1})~-h_1[1380]^{0}_{\alpha }~({p_2} )~-\gamma^{0}_{\beta }~({p_3})~$

$$\begin{eqnarray*} &V_{13}={\displaystyle{g \over 2}}~({p_1}^2{p_3}_\nu \epsilon... ...5}+2g_{\nu ,\beta }\epsilon_{{p_1}, {p_3},\mu ,\alpha }f_{1066}) \end{eqnarray*}$$

Vertex 14: $f_2[1640]^{0}_{\mu ,\nu }~({p_1})~-\omega[1420]^{0}_{\alpha }~( {p_2})~-\gamma^{0}_{\beta }~({p_3})~$

$$\begin{eqnarray*} &V_{14}={\displaystyle{g \over 2}}~({p_1}^2{p_3}_\nu {p_3}_\a... ...beta } f_{1063}-2{p_3}_\nu {p_3}_\alpha g_{\mu ,\beta }f_{1063}) \end{eqnarray*}$$

Vertex 15: $f_2[1640]^{0}_{\mu ,\nu }~({p_1})~-h_1[1595]^{0}_{\alpha }~({p_2} )~-\gamma^{0}_{\beta }~({p_3})~$

$$\begin{eqnarray*} &V_{15}={\displaystyle{g \over 2}}~({p_1}^2{p_3}_\nu \epsilon... ...9}+2g_{\nu ,\beta }\epsilon_{{p_1}, {p_3},\mu ,\alpha }f_{1060}) \end{eqnarray*}$$

Vertex 16: $f_2[1640]^{0}_{\mu ,\nu }~({p_1})~-\eta^{0}({p_2})~-\eta^{0}( {p_3})~$

$$\begin{eqnarray*} &V_{16}=f_{364}g~{p_2}_\mu {p_2}_\nu \end{eqnarray*}$$