$\Delta[1700][0]$ Two Body Decay Vertices(12)

There are 12 vertices in this part

Vertex 13: $\gamma^{0}_{\alpha }~({p_3})~-\overline{\Delta[1232][0] }({p_2})~ -\Delta[1700][0] ({p_1})~$

$$\begin{eqnarray*} &V_{13}=g~(-\gamma_5{\hat {p_3}}\gamma_\alpha {p_3}_\mu {p_3}... ...lpha }f_{216}i \\ &+\gamma_5{p_3}_\nu g_{\mu ,\alpha }f_{217}i) \end{eqnarray*}$$

Vertex 14: $\overline{\Delta[1700][0] }({p_1})~-\Delta[1232][0] ({p_2})~- \gamma^{0}_{\alpha }~({p_3})~$

$$\begin{eqnarray*} &V_{14}=g~(\gamma_5{\hat {p_3}}\gamma_\alpha {p_3}_\mu {p_3}_... ...lpha }f_{216}i \\ &-\gamma_5{p_3}_\nu g_{\mu ,\alpha }f_{217}i) \end{eqnarray*}$$

Vertex 15: $\gamma^{0}_{\alpha }~({p_3})~-\overline{\Delta[1600][0] }({p_2})~ -\Delta[1700][0] ({p_1})~$

$$\begin{eqnarray*} &V_{15}=g~(-\gamma_5{\hat {p_3}}\gamma_\alpha {p_3}_\mu {p_3}... ...lpha }f_{212}i \\ &+\gamma_5{p_3}_\nu g_{\mu ,\alpha }f_{213}i) \end{eqnarray*}$$

Vertex 16: $\overline{\Delta[1700][0] }({p_1})~-\Delta[1600][0] ({p_2})~- \gamma^{0}_{\alpha }~({p_3})~$

$$\begin{eqnarray*} &V_{16}=g~(\gamma_5{\hat {p_3}}\gamma_\alpha {p_3}_\mu {p_3}_... ...lpha }f_{212}i \\ &-\gamma_5{p_3}_\nu g_{\mu ,\alpha }f_{213}i) \end{eqnarray*}$$

Vertex 17: $\gamma^{0}_{\nu }~({p_3})~-\overline{n}({p_2})~-\Delta[1700][0] ( {p_1})~$

$$\begin{eqnarray*} &V_{17}=g~(- \sqrt{{p_1}^2}g_{\mu ,\nu }f_{111}i+ \sqrt{{p_2}... ...nu {\hat {p_3}}{p_3}_ \mu f_{110}+\gamma_\nu {p_3}_\mu f_{111}i) \end{eqnarray*}$$

Vertex 18: $\overline{\Delta[1700][0] }({p_1})~-n({p_2})~-\gamma^{0}_{\nu }~( {p_3})~$

$$\begin{eqnarray*} &V_{18}=g~( \sqrt{{p_1}^2}g_{\mu ,\nu }f_{111}i- \sqrt{{p_2}^... ...nu {\hat {p_3}}{p_3}_ \mu f_{110}+\gamma_\nu {p_3}_\mu f_{111}i) \end{eqnarray*}$$

Vertex 19: $\gamma^{0}_{\nu }~({p_3})~-\overline{\Delta[1620][0] }({p_2})~- \Delta[1700][0] ({p_1})~$

$$\begin{eqnarray*} &V_{19}=g~(\gamma_5{\hat {p_3}}\gamma_\nu {p_3}_\mu f_{109}-\... ...nu }f_{108}i \\ &+ \sqrt{{p_2}^2}\gamma_5g_{\mu , \nu }f_{108}i) \end{eqnarray*}$$

Vertex 20: $\overline{\Delta[1700][0] }({p_1})~-\Delta[1620][0] ({p_2})~- \gamma^{0}_{\nu }~({p_3})~$

$$\begin{eqnarray*} &V_{20}=g~(\gamma_5{\hat {p_3}}\gamma_\nu {p_3}_\mu f_{109}-\... ...nu }f_{108}i \\ &+ \sqrt{{p_2}^2}\gamma_5g_{\mu , \nu }f_{108}i) \end{eqnarray*}$$

Vertex 21: $\pi^0({p_3})~-\overline{\Delta[1232][0] }({p_2})~- \Delta[1700][0] ({p_1})~$

$$\begin{eqnarray*} &V_{21}=-gi~({p_2}_\mu {p_3}_\nu f_{74}+g_{\mu ,\nu }f_{75}) \end{eqnarray*}$$

Vertex 22: $\overline{\Delta[1700][0] }({p_1})~-\Delta[1232][0] ({p_2})~- \pi^0({p_3})~$

$$\begin{eqnarray*} &V_{22}=gi~({p_2}_\mu {p_3}_\nu f_{74}+g_{\mu ,\nu }f_{75}) \end{eqnarray*}$$

Vertex 23: $\pi^0({p_3})~-\overline{n}({p_2})~-\Delta[1700][0] ({p_1})~$

$$\begin{eqnarray*} &V_{23}=-f_{25}gi~\gamma_5{p_2}_\mu \end{eqnarray*}$$

Vertex 24: $\overline{\Delta[1700][0] }({p_1})~-n({p_2})~-\pi^0({p_3})~$

$$\begin{eqnarray*} &V_{24}=f_{25}gi~\gamma_5{p_2}_\mu \end{eqnarray*}$$