$f_2[1640]^{0}$ Two Body Decay Vertices(4)

There are 4 vertices in this part

Vertex 5: $f_2[1640]^{0}_{\mu ,\nu }~({p_1})~-\rho[770]^-_{\alpha }~({p_2})~- \rho[770]^+_{\beta }~({p_3})~$

$$\begin{eqnarray*} &V_{5}=g~({p_1}_\alpha {p_1}_\beta {p_2}_\mu {p_2}_\nu f_{214... ...}g_{\nu ,\beta }f_{210}+ g_{\mu ,\beta }g_{\nu ,\alpha }f_{210}) \end{eqnarray*}$$

Vertex 6: $f_2[1640]^{0}_{\mu ,\nu }~({p_1})~-\pi^-({p_2})~-\pi^+({p_3})~$

$$\begin{eqnarray*} &V_{6}=f_{114}g~{p_2}_\mu {p_2}_\nu \end{eqnarray*}$$

Vertex 7: $f_2[1640]^{0}_{\mu ,\nu }~({p_1})~-f_0[600]^{0}({p_2})~- f_0[600]^{0}({p_3})~$

$$\begin{eqnarray*} &V_{7}=f_{113}g~{p_2}_\mu {p_2}_\nu \end{eqnarray*}$$

Vertex 8: $f_2[1640]^{0}_{\mu ,\nu }~({p_1})~-f_0[980]^{0}({p_2})~- f_0[600]^{0}({p_3})~$

$$\begin{eqnarray*} &V_{8}=f_{112}g~{p_2}_\mu {p_2}_\nu \end{eqnarray*}$$