18.8 no resonace antsaz g10

$$F_{3}^{iso}(E,\vec{P},L)=-1/{ K}_{df}^{iso}(E^*)$$

$$K_{df}^{iso}= P[0]$$

$$F_{3}^{iso}(E,\vec{P}=0,L)=\frac{1}{L}\left[ \frac{\tilde F^s}{3}- \tilde F^s\frac{1}{1/(2\omega K_2^s)+\tilde F^s+\tilde G^s}\tilde F^s\right]_{kp}\\ \left[\frac{1}{2\omega K_2^s}\right]_{kp}=\delta_{kp}\left[(k\cot\delta )+|q^*_{2,k}(1-H(\vec{k}))|\right]\frac{1}{32\pi\omega_k E_{2,k}^*}$$ and $$\frac{k}{m} \cot \delta= \frac{1}{a_0m}+\frac{r_0m}{2}\frac{k^2}{m^2}\\ P[2]=am\\ P[3]=r_0m$$ $$E_{\phi_1}= p[1]$$

The best fit:

$$\begin{gather} \chi^2/d.o.f.=3.80137 \\ P[0]=-775.628\pm (69) \\ P[1]=9.12648\pm (0.00019) \\ P[2]=-0.159278\pm (0.0002) \\ P[3]=-23.6087\pm (0.035) \\ \end{gather}$$ { $$\begin{gather} C=\begin{pmatrix} 4.76e+03& 0.991& 0.984& 0.975\\ 0.991& 3.44e-08& 0.982& 0.967\\ 0.984& 0.982& 4.04e-08& 0.998\\ 0.975& 0.967& 0.998& 0.00125\\ \end{pmatrix} \end{gather}$$ }

18.8.1 no resonace antsaz g10 kcot1par

$$F_{3}^{iso}(E,\vec{P},L)=-1/{ K}_{df}^{iso}(E^*)$$

$$K_{df}^{iso}= P[0]$$

$$F_{3}^{iso}(E,\vec{P}=0,L)=\frac{1}{L}\left[ \frac{\tilde F^s}{3}- \tilde F^s\frac{1}{1/(2\omega K_2^s)+\tilde F^s+\tilde G^s}\tilde F^s\right]_{kp}\\ \left[\frac{1}{2\omega K_2^s}\right]_{kp}=\delta_{kp}\left[(k\cot\delta )+|q^*_{2,k}(1-H(\vec{k}))|\right]\frac{1}{32\pi\omega_k E_{2,k}^*}$$ and $$\frac{k}{m} \cot \delta= \frac{1}{a_0m}\\ P[2]=am\\ P[3]=r_0m$$ $$E_{\phi_1}= p[1]$$

The best fit:

$$\begin{gather} \chi^2/d.o.f.=3.13678 \\ P[0]=-161.576\pm (8.8e+02) \\ P[1]=3.02142\pm (0.00016) \\ P[2]=-0.155312\pm (0.0022) \\ \end{gather}$$ { $$\begin{gather} C=\begin{pmatrix} 7.73e+05& 0.22& -0.867\\ 0.22& 2.55e-08& 0.128\\ -0.867& 0.128& 5.05e-06\\ \end{pmatrix} \end{gather}$$ }

18.8.2 kcot 1 par kiso 2 par

$$K_{df}^{iso}=\frac{P[0] M_0^2 }{E^2-M_r^2}$$

$$\frac{k}{m} \cot \delta= \frac{1}{a_0m}$$ The best fit:

$$\begin{gather} \chi^2/d.o.f.=1.50536 \\ P[0]=70.1133\pm (15) \\ P[1]=9.12926\pm (0.0015) \\ P[2]=-0.153529\pm (0.0018) \\ \end{gather}$$ { $$\begin{gather} C=\begin{pmatrix} 234& 0.014& -0.113\\ 0.014& 2.2e-06& 0.23\\ -0.113& 0.23& 3.08e-06\\ \end{pmatrix} \end{gather}$$ }