$f_2[2300]^{0}$ Two Body Decay Vertices(23)

There are 23 vertices in this part

Vertex 24: $f_2[2300]^{0}_{\mu ,\nu }~({p_1})~-f_2[1270]^{0}_{\alpha ,\beta }~({p_2})~-\eta^{0}({p_3})~$

$$\begin{eqnarray*} &V_{24}=-\epsilon_{{p_1},{p_2},\mu ,\alpha }g~({p_1}_\beta {p_2}_\nu f_{675}+ g_{\nu ,\beta }f_{674}) \end{eqnarray*}$$

Vertex 25: $f_2[2300]^{0}_{\mu ,\nu }~({p_1})~-f_2[1270]^{0}_{\alpha ,\beta }~({p_2})~-f_0[980]^{0}({p_3})~$

$$\begin{eqnarray*} &V_{25}=g~({p_1}_\alpha {p_1}_\beta {p_2}_\mu {p_2}_\nu f_{67... ...u g_{\nu ,\beta }f_{672}+g_{\mu ,\alpha }g_{\nu ,\beta }f_{671}) \end{eqnarray*}$$

Vertex 26: $f_2[2300]^{0}_{\mu ,\nu }~({p_1})~-f_2[1430]^{0}_{\alpha ,\beta }~({p_2})~-\eta^{0}({p_3})~$

$$\begin{eqnarray*} &V_{26}=-\epsilon_{{p_1},{p_2},\mu ,\alpha }g~({p_1}_\beta {p_2}_\nu f_{670}+ g_{\nu ,\beta }f_{669}) \end{eqnarray*}$$

Vertex 27: $f_2[2300]^{0}_{\mu ,\nu }~({p_1})~-f^{'}_2[1525]^{0}_{\alpha , \beta }~({p_2})~-\eta^{0}({p_3})~$

$$\begin{eqnarray*} &V_{27}=-\epsilon_{{p_1},{p_2},\mu ,\alpha }g~({p_1}_\beta {p_2}_\nu f_{668}+ g_{\nu ,\beta }f_{667}) \end{eqnarray*}$$

Vertex 28: $f_2[2300]^{0}_{\mu ,\nu }~({p_1})~-f_2[1565]^{0}_{\alpha ,\beta }~({p_2})~-\eta^{0}({p_3})~$

$$\begin{eqnarray*} &V_{28}=-\epsilon_{{p_1},{p_2},\mu ,\alpha }g~({p_1}_\beta {p_2}_\nu f_{666}+ g_{\nu ,\beta }f_{665}) \end{eqnarray*}$$

Vertex 29: $f_2[2300]^{0}_{\mu ,\nu }~({p_1})~-f_2[1640]^{0}_{\alpha ,\beta }~({p_2})~-\eta^{0}({p_3})~$

$$\begin{eqnarray*} &V_{29}=-\epsilon_{{p_1},{p_2},\mu ,\alpha }g~({p_1}_\beta {p_2}_\nu f_{664}+ g_{\nu ,\beta }f_{663}) \end{eqnarray*}$$

Vertex 30: $f_2[2300]^{0}_{\mu ,\nu }~({p_1})~-\omega[782]^{0}_{\alpha }~( {p_2})~-\gamma^{0}_{\beta }~({p_3})~$

$$\begin{eqnarray*} &V_{30}={\displaystyle{g \over 2}}~({p_1}^2{p_3}_\nu {p_3}_\a... ...,\beta } f_{340}-2{p_3}_\nu {p_3}_\alpha g_{\mu ,\beta }f_{340}) \end{eqnarray*}$$

Vertex 31: $f_2[2300]^{0}_{\mu ,\nu }~({p_1})~-\omega[782]^{0}_{\alpha }~( {p_2})~-\omega[782]^{0}_{\beta }~({p_3})~$

$$\begin{eqnarray*} &V_{31}=g~({p_1}_\alpha {p_1}_\beta {p_2}_\mu {p_2}_\nu f_{33... ...ha ,\beta }f_{336} \\ &+g_{\mu ,\alpha }g_{\nu , \beta }f_{334}) \end{eqnarray*}$$

Vertex 32: $f_2[2300]^{0}_{\mu ,\nu }~({p_1})~-\phi[1020]^{0}_{\alpha }~( {p_2})~-\gamma^{0}_{\beta }~({p_3})~$

$$\begin{eqnarray*} &V_{32}={\displaystyle{g \over 2}}~({p_1}^2{p_3}_\nu {p_3}_\a... ...,\beta } f_{332}-2{p_3}_\nu {p_3}_\alpha g_{\mu ,\beta }f_{332}) \end{eqnarray*}$$

Vertex 33: $f_2[2300]^{0}_{\mu ,\nu }~({p_1})~-\phi[1020]^{0}_{\alpha }~( {p_2})~-\omega[782]^{0}_{\beta }~({p_3})~$

$$\begin{eqnarray*} &V_{33}=g~({p_1}_\alpha {p_1}_\beta {p_2}_\mu {p_2}_\nu f_{33... ...ha ,\beta }f_{328} \\ &+g_{\mu ,\alpha }g_{\nu , \beta }f_{326}) \end{eqnarray*}$$

Vertex 34: $f_2[2300]^{0}_{\mu ,\nu }~({p_1})~-\phi[1020]^{0}_{\alpha }~( {p_2})~-\phi[1020]^{0}_{\beta }~({p_3})~$

$$\begin{eqnarray*} &V_{34}=g~({p_1}_\alpha {p_1}_\beta {p_2}_\mu {p_2}_\nu f_{32... ...ha ,\beta }f_{323} \\ &+g_{\mu ,\alpha }g_{\nu , \beta }f_{321}) \end{eqnarray*}$$

Vertex 35: $f_2[2300]^{0}_{\mu ,\nu }~({p_1})~-h_1[1170]^{0}_{\alpha }~({p_2} )~-\gamma^{0}_{\beta }~({p_3})~$

$$\begin{eqnarray*} &V_{35}={\displaystyle{g \over 2}}~({p_1}^2{p_3}_\nu \epsilon... ...18}+2g_{\nu ,\beta }\epsilon_{{p_1},{p_3},\mu , \alpha }f_{319}) \end{eqnarray*}$$

Vertex 36: $f_2[2300]^{0}_{\mu ,\nu }~({p_1})~-h_1[1170]^{0}_{\alpha }~({p_2} )~-\omega[782]^{0}_{\beta }~({p_3})~$

$$\begin{eqnarray*} &V_{36}=-g~({p_2}_\mu {p_2}_\nu \epsilon_{{p_1},{p_2},\alpha ... ...317}+g_{\nu ,\alpha }\epsilon_{{p_1},{p_2},\mu ,\beta } f_{314}) \end{eqnarray*}$$

Vertex 37: $f_2[2300]^{0}_{\mu ,\nu }~({p_1})~-h_1[1170]^{0}_{\alpha }~({p_2} )~-\phi[1020]^{0}_{\beta }~({p_3})~$

$$\begin{eqnarray*} &V_{37}=-g~({p_2}_\mu {p_2}_\nu \epsilon_{{p_1},{p_2},\alpha ... ...313}+g_{\nu ,\alpha }\epsilon_{{p_1},{p_2},\mu ,\beta } f_{310}) \end{eqnarray*}$$

Vertex 38: $f_2[2300]^{0}_{\mu ,\nu }~({p_1})~-h_1[1380]^{0}_{\alpha }~({p_2} )~-\gamma^{0}_{\beta }~({p_3})~$

$$\begin{eqnarray*} &V_{38}={\displaystyle{g \over 2}}~({p_1}^2{p_3}_\nu \epsilon... ...07}+2g_{\nu ,\beta }\epsilon_{{p_1},{p_3},\mu , \alpha }f_{308}) \end{eqnarray*}$$

Vertex 39: $f_2[2300]^{0}_{\mu ,\nu }~({p_1})~-h_1[1380]^{0}_{\alpha }~({p_2} )~-\omega[782]^{0}_{\beta }~({p_3})~$

$$\begin{eqnarray*} &V_{39}=-g~({p_2}_\mu {p_2}_\nu \epsilon_{{p_1},{p_2},\alpha ... ...306}+g_{\nu ,\alpha }\epsilon_{{p_1},{p_2},\mu ,\beta } f_{303}) \end{eqnarray*}$$

Vertex 40: $f_2[2300]^{0}_{\mu ,\nu }~({p_1})~-\omega[1420]^{0}_{\alpha }~( {p_2})~-\gamma^{0}_{\beta }~({p_3})~$

$$\begin{eqnarray*} &V_{40}={\displaystyle{g \over 2}}~({p_1}^2{p_3}_\nu {p_3}_\a... ...,\beta } f_{301}-2{p_3}_\nu {p_3}_\alpha g_{\mu ,\beta }f_{301}) \end{eqnarray*}$$

Vertex 41: $f_2[2300]^{0}_{\mu ,\nu }~({p_1})~-\omega[1420]^{0}_{\alpha }~( {p_2})~-\omega[782]^{0}_{\beta }~({p_3})~$

$$\begin{eqnarray*} &V_{41}=g~({p_1}_\alpha {p_1}_\beta {p_2}_\mu {p_2}_\nu f_{29... ...ha ,\beta }f_{297} \\ &+g_{\mu ,\alpha }g_{\nu , \beta }f_{295}) \end{eqnarray*}$$

Vertex 42: $f_2[2300]^{0}_{\mu ,\nu }~({p_1})~-h_1[1595]^{0}_{\alpha }~({p_2} )~-\gamma^{0}_{\beta }~({p_3})~$

$$\begin{eqnarray*} &V_{42}={\displaystyle{g \over 2}}~({p_1}^2{p_3}_\nu \epsilon... ...92}+2g_{\nu ,\beta }\epsilon_{{p_1},{p_3},\mu , \alpha }f_{293}) \end{eqnarray*}$$

Vertex 43: $f_2[2300]^{0}_{\mu ,\nu }~({p_1})~-\omega_[1650]^{0}_{\alpha }~( {p_2})~-\gamma^{0}_{\beta }~({p_3})~$

$$\begin{eqnarray*} &V_{43}={\displaystyle{g \over 2}}~({p_1}^2{p_3}_\nu {p_3}_\a... ...,\beta } f_{290}-2{p_3}_\nu {p_3}_\alpha g_{\mu ,\beta }f_{290}) \end{eqnarray*}$$

Vertex 44: $f_2[2300]^{0}_{\mu ,\nu }~({p_1})~-\phi[1680]^{0}_{\alpha }~( {p_2})~-\gamma^{0}_{\beta }~({p_3})~$

$$\begin{eqnarray*} &V_{44}={\displaystyle{g \over 2}}~({p_1}^2{p_3}_\nu {p_3}_\a... ...,\beta } f_{287}-2{p_3}_\nu {p_3}_\alpha g_{\mu ,\beta }f_{287}) \end{eqnarray*}$$

Vertex 45: $f_2[2300]^{0}_{\mu ,\nu }~({p_1})~-\eta^{0}({p_2})~-\eta^{0}( {p_3})~$

$$\begin{eqnarray*} &V_{45}=f_{181}g~{p_2}_\mu {p_2}_\nu \end{eqnarray*}$$

Vertex 46: $f_2[2300]^{0}_{\mu ,\nu }~({p_1})~-f_0[980]^{0}({p_2})~- f_0[980]^{0}({p_3})~$

$$\begin{eqnarray*} &V_{46}=f_{180}g~{p_2}_\mu {p_2}_\nu \end{eqnarray*}$$