$K_2[1820]^+$ Two Body Decay Vertices(26)

There are 26 vertices in this part

Vertex 27: $\pi^0({p_3})~-K_2[1580]^-_{\alpha ,\beta }~({p_2})~-K_2[1820]^+_{ \mu ,\nu }~({p_1})~$

$$\begin{eqnarray*} &V_{27}=\epsilon_{{p_1},{p_2},\mu ,\alpha }gi~({p_1}_\beta {p_2}_\nu f_{598}+ g_{\nu ,\beta }f_{597}) \end{eqnarray*}$$

Vertex 28: $K_2[1820]^-_{\mu ,\nu }~({p_1})~-K_2[1580]^+_{\alpha ,\beta }~( {p_2})~-\pi^0({p_3})~$

$$\begin{eqnarray*} &V_{28}=-\epsilon_{{p_1},{p_2},\mu ,\alpha }gi~({p_1}_\beta {p_2}_\nu f_{598}+ g_{\nu ,\beta }f_{597}) \end{eqnarray*}$$

Vertex 29: $\gamma^{0}_{\beta }~({p_3})~-K^{*}[892]^-_{\alpha }~({p_2})~- K_2[1820]^+_{\mu ,\nu }~({p_1})~$

$$\begin{eqnarray*} &V_{29}={\displaystyle{gi \over 2}}~(-{p_1}^2{p_3}_\nu \epsil... ...04}-2g_{\nu ,\beta }\epsilon_{{p_1},{p_3},\mu , \alpha }f_{405}) \end{eqnarray*}$$

Vertex 30: $K_2[1820]^-_{\mu ,\nu }~({p_1})~-K^{*}[892]^+_{\alpha }~({p_2})~- \gamma^{0}_{\beta }~({p_3})~$

$$\begin{eqnarray*} &V_{30}={\displaystyle{gi \over 2}}~({p_1}^2{p_3}_\nu \epsilo... ...04}+2g_{\nu ,\beta }\epsilon_{{p_1},{p_3},\mu , \alpha }f_{405}) \end{eqnarray*}$$

Vertex 31: $\gamma^{0}_{\beta }~({p_3})~-K_1[1270]^-_{\alpha }~({p_2})~- K_2[1820]^+_{\mu ,\nu }~({p_1})~$

$$\begin{eqnarray*} &V_{31}={\displaystyle{gi \over 2}}~(-{p_1}^2{p_3}_\nu {p_3}_... ...,\beta } f_{402}+2{p_3}_\nu {p_3}_\alpha g_{\mu ,\beta }f_{402}) \end{eqnarray*}$$

Vertex 32: $K_2[1820]^-_{\mu ,\nu }~({p_1})~-K_1[1270]^+_{\alpha }~({p_2})~- \gamma^{0}_{\beta }~({p_3})~$

$$\begin{eqnarray*} &V_{32}={\displaystyle{gi \over 2}}~({p_1}^2{p_3}_\nu {p_3}_\... ...,\beta } f_{402}-2{p_3}_\nu {p_3}_\alpha g_{\mu ,\beta }f_{402}) \end{eqnarray*}$$

Vertex 33: $\gamma^{0}_{\beta }~({p_3})~-K_1[1400]^-_{\alpha }~({p_2})~- K_2[1820]^+_{\mu ,\nu }~({p_1})~$

$$\begin{eqnarray*} &V_{33}={\displaystyle{gi \over 2}}~(-{p_1}^2{p_3}_\nu {p_3}_... ...,\beta } f_{399}+2{p_3}_\nu {p_3}_\alpha g_{\mu ,\beta }f_{399}) \end{eqnarray*}$$

Vertex 34: $K_2[1820]^-_{\mu ,\nu }~({p_1})~-K_1[1400]^+_{\alpha }~({p_2})~- \gamma^{0}_{\beta }~({p_3})~$

$$\begin{eqnarray*} &V_{34}={\displaystyle{gi \over 2}}~({p_1}^2{p_3}_\nu {p_3}_\... ...,\beta } f_{399}-2{p_3}_\nu {p_3}_\alpha g_{\mu ,\beta }f_{399}) \end{eqnarray*}$$

Vertex 35: $\gamma^{0}_{\beta }~({p_3})~-K^{*}[1410]^-_{\alpha }~({p_2})~- K_2[1820]^+_{\mu ,\nu }~({p_1})~$

$$\begin{eqnarray*} &V_{35}={\displaystyle{gi \over 2}}~(-{p_1}^2{p_3}_\nu \epsil... ...95}-2g_{\nu ,\beta }\epsilon_{{p_1},{p_3},\mu , \alpha }f_{396}) \end{eqnarray*}$$

Vertex 36: $K_2[1820]^-_{\mu ,\nu }~({p_1})~-K^{*}[1410]^+_{\alpha }~({p_2})~ -\gamma^{0}_{\beta }~({p_3})~$

$$\begin{eqnarray*} &V_{36}={\displaystyle{gi \over 2}}~({p_1}^2{p_3}_\nu \epsilo... ...95}+2g_{\nu ,\beta }\epsilon_{{p_1},{p_3},\mu , \alpha }f_{396}) \end{eqnarray*}$$

Vertex 37: $\gamma^{0}_{\beta }~({p_3})~-K_1[1650]^-_{\alpha }~({p_2})~- K_2[1820]^+_{\mu ,\nu }~({p_1})~$

$$\begin{eqnarray*} &V_{37}={\displaystyle{gi \over 2}}~(-{p_1}^2{p_3}_\nu {p_3}_... ...,\beta } f_{393}+2{p_3}_\nu {p_3}_\alpha g_{\mu ,\beta }f_{393}) \end{eqnarray*}$$

Vertex 38: $K_2[1820]^-_{\mu ,\nu }~({p_1})~-K_1[1650]^+_{\alpha }~({p_2})~- \gamma^{0}_{\beta }~({p_3})~$

$$\begin{eqnarray*} &V_{38}={\displaystyle{gi \over 2}}~({p_1}^2{p_3}_\nu {p_3}_\... ...,\beta } f_{393}-2{p_3}_\nu {p_3}_\alpha g_{\mu ,\beta }f_{393}) \end{eqnarray*}$$

Vertex 39: $K^-({p_3})~-\gamma^{0}_{\alpha }~({p_2})~-K_2[1820]^+_{\mu ,\nu }~({p_1})~$

$$\begin{eqnarray*} &V_{39}={\displaystyle{f_{260}g \over 2}}~(-{p_1}^2{p_2}_\nu ... ...}_\alpha {p_2}_\mu {p_2}_\nu +{p_2}_\nu {p_3}^2g_{\mu ,\alpha }) \end{eqnarray*}$$

Vertex 40: $K_2[1820]^-_{\mu ,\nu }~({p_1})~-\gamma^{0}_{\alpha }~({p_2})~- K^+({p_3})~$

$$\begin{eqnarray*} &V_{40}={\displaystyle{f_{260}g \over 2}}~({p_1}^2{p_2}_\nu g... ...}_\alpha {p_2}_\mu {p_2}_\nu -{p_2}_\nu {p_3}^2g_{\mu ,\alpha }) \end{eqnarray*}$$

Vertex 41: $K[1460]^-({p_3})~-\gamma^{0}_{\alpha }~({p_2})~-K_2[1820]^+_{\mu ,\nu }~({p_1})~$

$$\begin{eqnarray*} &V_{41}={\displaystyle{f_{259}g \over 2}}~(-{p_1}^2{p_2}_\nu ... ...}_\alpha {p_2}_\mu {p_2}_\nu +{p_2}_\nu {p_3}^2g_{\mu ,\alpha }) \end{eqnarray*}$$

Vertex 42: $K_2[1820]^-_{\mu ,\nu }~({p_1})~-\gamma^{0}_{\alpha }~({p_2})~- K[1460]^+({p_3})~$

$$\begin{eqnarray*} &V_{42}={\displaystyle{f_{259}g \over 2}}~({p_1}^2{p_2}_\nu g... ...}_\alpha {p_2}_\mu {p_2}_\nu -{p_2}_\nu {p_3}^2g_{\mu ,\alpha }) \end{eqnarray*}$$

Vertex 43: $\pi^0({p_3})~-K^{*}[892]^-_{\alpha }~({p_2})~-K_2[1820]^+_{\mu , \nu }~({p_1})~$

$$\begin{eqnarray*} &V_{43}=-g~({p_1}_\alpha {p_2}_\mu {p_2}_\nu f_{257}+{p_2}_\mu g_{\nu ,\alpha }f_{256}) \end{eqnarray*}$$

Vertex 44: $K_2[1820]^-_{\mu ,\nu }~({p_1})~-K^{*}[892]^+_{\alpha }~({p_2})~- \pi^0({p_3})~$

$$\begin{eqnarray*} &V_{44}=g~({p_1}_\alpha {p_2}_\mu {p_2}_\nu f_{257}+{p_2}_\mu g_{\nu ,\alpha } f_{256}) \end{eqnarray*}$$

Vertex 45: $\pi^0({p_3})~-K_1[1270]^-_{\alpha }~({p_2})~-K_2[1820]^+_{\mu , \nu }~({p_1})~$

$$\begin{eqnarray*} &V_{45}=\epsilon_{{p_1},{p_2},\mu ,\alpha }f_{253}g~{p_2}_\nu \end{eqnarray*}$$

Vertex 46: $K_2[1820]^-_{\mu ,\nu }~({p_1})~-K_1[1270]^+_{\alpha }~({p_2})~- \pi^0({p_3})~$

$$\begin{eqnarray*} &V_{46}=-\epsilon_{{p_1},{p_2},\mu ,\alpha }f_{253}g~{p_2}_\nu \end{eqnarray*}$$

Vertex 47: $\pi^0({p_3})~-K_1[1400]^-_{\alpha }~({p_2})~-K_2[1820]^+_{\mu , \nu }~({p_1})~$

$$\begin{eqnarray*} &V_{47}=\epsilon_{{p_1},{p_2},\mu ,\alpha }f_{252}g~{p_2}_\nu \end{eqnarray*}$$

Vertex 48: $K_2[1820]^-_{\mu ,\nu }~({p_1})~-K_1[1400]^+_{\alpha }~({p_2})~- \pi^0({p_3})~$

$$\begin{eqnarray*} &V_{48}=-\epsilon_{{p_1},{p_2},\mu ,\alpha }f_{252}g~{p_2}_\nu \end{eqnarray*}$$

Vertex 49: $\pi^0({p_3})~-K^{*}[1410]^-_{\alpha }~({p_2})~-K_2[1820]^+_{\mu , \nu }~({p_1})~$

$$\begin{eqnarray*} &V_{49}=-g~({p_1}_\alpha {p_2}_\mu {p_2}_\nu f_{251}+{p_2}_\mu g_{\nu ,\alpha }f_{250}) \end{eqnarray*}$$

Vertex 50: $K_2[1820]^-_{\mu ,\nu }~({p_1})~-K^{*}[1410]^+_{\alpha }~({p_2})~ -\pi^0({p_3})~$

$$\begin{eqnarray*} &V_{50}=g~({p_1}_\alpha {p_2}_\mu {p_2}_\nu f_{251}+{p_2}_\mu g_{\nu ,\alpha } f_{250}) \end{eqnarray*}$$

Vertex 51: $\pi^0({p_3})~-K_1[1650]^-_{\alpha }~({p_2})~-K_2[1820]^+_{\mu , \nu }~({p_1})~$

$$\begin{eqnarray*} &V_{51}=\epsilon_{{p_1},{p_2},\mu ,\alpha }f_{249}g~{p_2}_\nu \end{eqnarray*}$$

Vertex 52: $K_2[1820]^-_{\mu ,\nu }~({p_1})~-K_1[1650]^+_{\alpha }~({p_2})~- \pi^0({p_3})~$

$$\begin{eqnarray*} &V_{52}=-\epsilon_{{p_1},{p_2},\mu ,\alpha }f_{249}g~{p_2}_\nu \end{eqnarray*}$$