$\eta_2[1870]^{0}$ Two Body Decay Vertices(20)

There are 20 vertices in this part

Vertex 21: $\pi^-({p_3})~-a_2[1320]^+_{\alpha ,\beta }~({p_2})~- \eta_2[1870]^{0}_{\mu ,\nu }~({p_1})~$

$$\begin{eqnarray*} &V_{21}=g~({p_1}_\alpha {p_1}_\beta {p_2}_\mu {p_2}_\nu f_{15... ...g_{\nu ,\beta }f_{1549}+g_{\mu ,\alpha }g_{\nu ,\beta }f_{1548}) \end{eqnarray*}$$

Vertex 22: $\eta_2[1870]^{0}_{\mu ,\nu }~({p_1})~-a_2[1320]^-_{\alpha ,\beta }~({p_2})~-\pi^+({p_3})~$

$$\begin{eqnarray*} &V_{22}=g~({p_1}_\alpha {p_1}_\beta {p_2}_\mu {p_2}_\nu f_{15... ...g_{\nu ,\beta }f_{1549}+g_{\mu ,\alpha }g_{\nu ,\beta }f_{1548}) \end{eqnarray*}$$

Vertex 23: $\eta_2[1870]^{0}_{\mu ,\nu }~({p_1})~-\rho[770]^-_{\alpha }~( {p_2})~-\rho[770]^+_{\beta }~({p_3})~$

$$\begin{eqnarray*} &V_{23}=g~(-{p_2}_\mu {p_2}_\nu \epsilon_{{p_1},{p_2},\alpha ... ...{967}+g_{\nu ,\beta }\epsilon_{{p_1},{p_2},\mu ,\alpha }f_{967}) \end{eqnarray*}$$

Vertex 24: $\eta_2[1870]^{0}_{\mu ,\nu }~({p_1})~-\omega[782]^{0}_{\alpha }~( {p_2})~-\gamma^{0}_{\beta }~({p_3})~$

$$\begin{eqnarray*} &V_{24}={\displaystyle{g \over 2}}~({p_1}^2{p_3}_\nu \epsilon... ...64}+2g_{\nu ,\beta }\epsilon_{{p_1},{p_3},\mu , \alpha }f_{965}) \end{eqnarray*}$$

Vertex 25: $\eta_2[1870]^{0}_{\mu ,\nu }~({p_1})~-\omega[782]^{0}_{\alpha }~( {p_2})~-\omega[782]^{0}_{\beta }~({p_3})~$

$$\begin{eqnarray*} &V_{25}=-g~({p_2}_\mu {p_2}_\nu \epsilon_{{p_1},{p_2},\alpha ... ...963}+g_{\nu ,\alpha }\epsilon_{{p_1},{p_2},\mu ,\beta } f_{960}) \end{eqnarray*}$$

Vertex 26: $\eta_2[1870]^{0}_{\mu ,\nu }~({p_1})~-\phi[1020]^{0}_{\alpha }~( {p_2})~-\gamma^{0}_{\beta }~({p_3})~$

$$\begin{eqnarray*} &V_{26}={\displaystyle{g \over 2}}~({p_1}^2{p_3}_\nu \epsilon... ...57}+2g_{\nu ,\beta }\epsilon_{{p_1},{p_3},\mu , \alpha }f_{958}) \end{eqnarray*}$$

Vertex 27: $\eta_2[1870]^{0}_{\mu ,\nu }~({p_1})~-\phi[1020]^{0}_{\alpha }~( {p_2})~-\omega[782]^{0}_{\beta }~({p_3})~$

$$\begin{eqnarray*} &V_{27}=-g~({p_2}_\mu {p_2}_\nu \epsilon_{{p_1},{p_2},\alpha ... ...956}+g_{\nu ,\alpha }\epsilon_{{p_1},{p_2},\mu ,\beta } f_{953}) \end{eqnarray*}$$

Vertex 28: $\eta_2[1870]^{0}_{\mu ,\nu }~({p_1})~-h_1[1170]^{0}_{\alpha }~( {p_2})~-\gamma^{0}_{\beta }~({p_3})~$

$$\begin{eqnarray*} &V_{28}={\displaystyle{g \over 2}}~({p_1}^2{p_3}_\nu {p_3}_\a... ...,\beta } f_{951}-2{p_3}_\nu {p_3}_\alpha g_{\mu ,\beta }f_{951}) \end{eqnarray*}$$

Vertex 29: $\eta_2[1870]^{0}_{\mu ,\nu }~({p_1})~-h_1[1380]^{0}_{\alpha }~( {p_2})~-\gamma^{0}_{\beta }~({p_3})~$

$$\begin{eqnarray*} &V_{29}={\displaystyle{g \over 2}}~({p_1}^2{p_3}_\nu {p_3}_\a... ...,\beta } f_{948}-2{p_3}_\nu {p_3}_\alpha g_{\mu ,\beta }f_{948}) \end{eqnarray*}$$

Vertex 30: $\eta_2[1870]^{0}_{\mu ,\nu }~({p_1})~-\omega[1420]^{0}_{\alpha }~ ({p_2})~-\gamma^{0}_{\beta }~({p_3})~$

$$\begin{eqnarray*} &V_{30}={\displaystyle{g \over 2}}~({p_1}^2{p_3}_\nu \epsilon... ...44}+2g_{\nu ,\beta }\epsilon_{{p_1},{p_3},\mu , \alpha }f_{945}) \end{eqnarray*}$$

Vertex 31: $\eta_2[1870]^{0}_{\mu ,\nu }~({p_1})~-h_1[1595]^{0}_{\alpha }~( {p_2})~-\gamma^{0}_{\beta }~({p_3})~$

$$\begin{eqnarray*} &V_{31}={\displaystyle{g \over 2}}~({p_1}^2{p_3}_\nu {p_3}_\a... ...,\beta } f_{942}-2{p_3}_\nu {p_3}_\alpha g_{\mu ,\beta }f_{942}) \end{eqnarray*}$$

Vertex 32: $\eta_2[1870]^{0}_{\mu ,\nu }~({p_1})~-\omega_[1650]^{0}_{\alpha }~({p_2})~-\gamma^{0}_{\beta }~({p_3})~$

$$\begin{eqnarray*} &V_{32}={\displaystyle{g \over 2}}~({p_1}^2{p_3}_\nu \epsilon... ...38}+2g_{\nu ,\beta }\epsilon_{{p_1},{p_3},\mu , \alpha }f_{939}) \end{eqnarray*}$$

Vertex 33: $\eta_2[1870]^{0}_{\mu ,\nu }~({p_1})~-\phi[1680]^{0}_{\alpha }~( {p_2})~-\gamma^{0}_{\beta }~({p_3})~$

$$\begin{eqnarray*} &V_{33}={\displaystyle{g \over 2}}~({p_1}^2{p_3}_\nu \epsilon... ...35}+2g_{\nu ,\beta }\epsilon_{{p_1},{p_3},\mu , \alpha }f_{936}) \end{eqnarray*}$$

Vertex 34: $\pi^-({p_3})~-\pi_1[1400]^+_{\alpha }~({p_2})~-\eta_2[1870]^{0}_{ \mu ,\nu }~({p_1})~$

$$\begin{eqnarray*} &V_{34}=gi~({p_1}_\alpha {p_2}_\mu {p_2}_\nu f_{533}+{p_2}_\mu g_{\nu ,\alpha }f_{532}) \end{eqnarray*}$$

Vertex 35: $\eta_2[1870]^{0}_{\mu ,\nu }~({p_1})~-\pi_1[1400]^-_{\alpha }~( {p_2})~-\pi^+({p_3})~$

$$\begin{eqnarray*} &V_{35}=gi~({p_1}_\alpha {p_2}_\mu {p_2}_\nu f_{533}+{p_2}_\mu g_{\nu ,\alpha }f_{532}) \end{eqnarray*}$$

Vertex 36: $\pi^-({p_3})~-\pi_1[1600]^+_{\alpha }~({p_2})~-\eta_2[1870]^{0}_{ \mu ,\nu }~({p_1})~$

$$\begin{eqnarray*} &V_{36}=gi~({p_1}_\alpha {p_2}_\mu {p_2}_\nu f_{531}+{p_2}_\mu g_{\nu ,\alpha }f_{530}) \end{eqnarray*}$$

Vertex 37: $\eta_2[1870]^{0}_{\mu ,\nu }~({p_1})~-\pi_1[1600]^-_{\alpha }~( {p_2})~-\pi^+({p_3})~$

$$\begin{eqnarray*} &V_{37}=gi~({p_1}_\alpha {p_2}_\mu {p_2}_\nu f_{531}+{p_2}_\mu g_{\nu ,\alpha }f_{530}) \end{eqnarray*}$$

Vertex 38: $\eta_2[1870]^{0}_{\mu ,\nu }~({p_1})~-f_0[600]^{0}({p_2})~- \eta^{'}[958]^{0}({p_3})~$

$$\begin{eqnarray*} &V_{38}=f_{396}g~{p_2}_\mu {p_2}_\nu \end{eqnarray*}$$

Vertex 39: $\pi^-({p_3})~-a_0[1450]^+({p_2})~-\eta_2[1870]^{0}_{\mu ,\nu }~( {p_1})~$

$$\begin{eqnarray*} &V_{39}=f_{395}g~{p_2}_\mu {p_2}_\nu \end{eqnarray*}$$

Vertex 40: $\eta_2[1870]^{0}_{\mu ,\nu }~({p_1})~-a_0[1450]^-({p_2})~-\pi^+( {p_3})~$

$$\begin{eqnarray*} &V_{40}=f_{395}g~{p_2}_\mu {p_2}_\nu \end{eqnarray*}$$