\[\begin{split}\displaystyle \begin{array}{rcl}
A^{1}_{- \frac{1}{2}, - \frac{1}{2}} &=& \sum_{\lambda_{R}=-1}^{1}{- \delta_{- \frac{1}{2}, \lambda_{R} + \frac{1}{2}} \mathcal{R}^\mathrm{BW}_{1,0}\left(\sigma_{1}\right) \mathcal{H}^\mathrm{decay}_{K(892), 0, 0} \mathcal{H}^\mathrm{production}_{K(892), \lambda_{R}, - \frac{1}{2}} d^{1}_{\lambda_{R},0}\left(\theta_{23}\right)} + \sum_{\lambda_{R}=0}{- \delta_{- \frac{1}{2}, \lambda_{R} + \frac{1}{2}} \mathcal{R}^\mathrm{Bugg}\left(\sigma_{1}\right) \mathcal{H}^\mathrm{decay}_{K(1430), 0, 0} \mathcal{H}^\mathrm{production}_{K(1430), \lambda_{R}, - \frac{1}{2}} d^{0}_{\lambda_{R},0}\left(\theta_{23}\right)} + \sum_{\lambda_{R}=0}{- \delta_{- \frac{1}{2}, \lambda_{R} + \frac{1}{2}} \mathcal{R}^\mathrm{Bugg}\left(\sigma_{1}\right) \mathcal{H}^\mathrm{decay}_{K(700), 0, 0} \mathcal{H}^\mathrm{production}_{K(700), \lambda_{R}, - \frac{1}{2}} d^{0}_{\lambda_{R},0}\left(\theta_{23}\right)} \\
A^{2}_{- \frac{1}{2}, - \frac{1}{2}} &=& \sum_{\lambda_{R}=-3/2}^{3/2}{- \delta_{- \frac{1}{2} \lambda_{R}} \mathcal{R}^\mathrm{BW}_{2,1}\left(\sigma_{2}\right) \mathcal{H}^\mathrm{decay}_{\Lambda(1520), 0, - \frac{1}{2}} \mathcal{H}^\mathrm{production}_{\Lambda(1520), \lambda_{R}, 0} d^{\frac{3}{2}}_{\lambda_{R},\frac{1}{2}}\left(\theta_{31}\right)} + \sum_{\lambda_{R}=-1/2}^{1/2}{- \delta_{- \frac{1}{2} \lambda_{R}} \mathcal{R}^\mathrm{BW}_{1,0}\left(\sigma_{2}\right) \mathcal{H}^\mathrm{decay}_{\Lambda(1600), 0, - \frac{1}{2}} \mathcal{H}^\mathrm{production}_{\Lambda(1600), \lambda_{R}, 0} d^{\frac{1}{2}}_{\lambda_{R},\frac{1}{2}}\left(\theta_{31}\right)} + \sum_{\lambda_{R}=-1/2}^{1/2}{- \delta_{- \frac{1}{2} \lambda_{R}} \mathcal{R}^\mathrm{BW}_{0,0}\left(\sigma_{2}\right) \mathcal{H}^\mathrm{decay}_{\Lambda(1670), 0, - \frac{1}{2}} \mathcal{H}^\mathrm{production}_{\Lambda(1670), \lambda_{R}, 0} d^{\frac{1}{2}}_{\lambda_{R},\frac{1}{2}}\left(\theta_{31}\right)} + \sum_{\lambda_{R}=-3/2}^{3/2}{- \delta_{- \frac{1}{2} \lambda_{R}} \mathcal{R}^\mathrm{BW}_{2,1}\left(\sigma_{2}\right) \mathcal{H}^\mathrm{decay}_{\Lambda(1690), 0, - \frac{1}{2}} \mathcal{H}^\mathrm{production}_{\Lambda(1690), \lambda_{R}, 0} d^{\frac{3}{2}}_{\lambda_{R},\frac{1}{2}}\left(\theta_{31}\right)} + \sum_{\lambda_{R}=-1/2}^{1/2}{- \delta_{- \frac{1}{2} \lambda_{R}} \mathcal{R}^\mathrm{BW}_{0,0}\left(\sigma_{2}\right) \mathcal{H}^\mathrm{decay}_{\Lambda(2000), 0, - \frac{1}{2}} \mathcal{H}^\mathrm{production}_{\Lambda(2000), \lambda_{R}, 0} d^{\frac{1}{2}}_{\lambda_{R},\frac{1}{2}}\left(\theta_{31}\right)} + \sum_{\lambda_{R}=-1/2}^{1/2}{- \frac{\delta_{- \frac{1}{2} \lambda_{R}} F_{0}\left(R_{\Lambda_c} q_{_{m_{0},m_{\pi^+}}}\left(\sigma_{2}\right)\right) \mathcal{R}^\mathrm{Flatté}\left(\sigma_{2}\right) \mathcal{H}^\mathrm{decay}_{\Lambda(1405), 0, - \frac{1}{2}} \mathcal{H}^\mathrm{production}_{\Lambda(1405), \lambda_{R}, 0} d^{\frac{1}{2}}_{\lambda_{R},\frac{1}{2}}\left(\theta_{31}\right)}{F_{0}\left(R_{\Lambda_c} q_{_{m_{0},m_{\pi^+}}}\left(m_{L(1405)}^{2}\right)\right)}} \\
A^{3}_{- \frac{1}{2}, - \frac{1}{2}} &=& \sum_{\lambda_{R}=-3/2}^{3/2}{\delta_{- \frac{1}{2} \lambda_{R}} \mathcal{R}^\mathrm{BW}_{1,1}\left(\sigma_{3}\right) \mathcal{H}^\mathrm{decay}_{\Delta(1232), - \frac{1}{2}, 0} \mathcal{H}^\mathrm{production}_{\Delta(1232), \lambda_{R}, 0} d^{\frac{3}{2}}_{\lambda_{R},- \frac{1}{2}}\left(\theta_{12}\right)} + \sum_{\lambda_{R}=-3/2}^{3/2}{\delta_{- \frac{1}{2} \lambda_{R}} \mathcal{R}^\mathrm{BW}_{1,1}\left(\sigma_{3}\right) \mathcal{H}^\mathrm{decay}_{\Delta(1600), - \frac{1}{2}, 0} \mathcal{H}^\mathrm{production}_{\Delta(1600), \lambda_{R}, 0} d^{\frac{3}{2}}_{\lambda_{R},- \frac{1}{2}}\left(\theta_{12}\right)} + \sum_{\lambda_{R}=-3/2}^{3/2}{\delta_{- \frac{1}{2} \lambda_{R}} \mathcal{R}^\mathrm{BW}_{2,1}\left(\sigma_{3}\right) \mathcal{H}^\mathrm{decay}_{\Delta(1700), - \frac{1}{2}, 0} \mathcal{H}^\mathrm{production}_{\Delta(1700), \lambda_{R}, 0} d^{\frac{3}{2}}_{\lambda_{R},- \frac{1}{2}}\left(\theta_{12}\right)} \\
A^{1}_{- \frac{1}{2}, \frac{1}{2}} &=& \sum_{\lambda_{R}=-1}^{1}{\delta_{- \frac{1}{2}, \lambda_{R} - \frac{1}{2}} \mathcal{R}^\mathrm{BW}_{1,0}\left(\sigma_{1}\right) \mathcal{H}^\mathrm{decay}_{K(892), 0, 0} \mathcal{H}^\mathrm{production}_{K(892), \lambda_{R}, \frac{1}{2}} d^{1}_{\lambda_{R},0}\left(\theta_{23}\right)} + \sum_{\lambda_{R}=0}{\delta_{- \frac{1}{2}, \lambda_{R} - \frac{1}{2}} \mathcal{R}^\mathrm{Bugg}\left(\sigma_{1}\right) \mathcal{H}^\mathrm{decay}_{K(1430), 0, 0} \mathcal{H}^\mathrm{production}_{K(1430), \lambda_{R}, \frac{1}{2}} d^{0}_{\lambda_{R},0}\left(\theta_{23}\right)} + \sum_{\lambda_{R}=0}{\delta_{- \frac{1}{2}, \lambda_{R} - \frac{1}{2}} \mathcal{R}^\mathrm{Bugg}\left(\sigma_{1}\right) \mathcal{H}^\mathrm{decay}_{K(700), 0, 0} \mathcal{H}^\mathrm{production}_{K(700), \lambda_{R}, \frac{1}{2}} d^{0}_{\lambda_{R},0}\left(\theta_{23}\right)} \\
A^{2}_{- \frac{1}{2}, \frac{1}{2}} &=& \sum_{\lambda_{R}=-3/2}^{3/2}{\delta_{- \frac{1}{2} \lambda_{R}} \mathcal{R}^\mathrm{BW}_{2,1}\left(\sigma_{2}\right) \mathcal{H}^\mathrm{decay}_{\Lambda(1520), 0, \frac{1}{2}} \mathcal{H}^\mathrm{production}_{\Lambda(1520), \lambda_{R}, 0} d^{\frac{3}{2}}_{\lambda_{R},- \frac{1}{2}}\left(\theta_{31}\right)} + \sum_{\lambda_{R}=-1/2}^{1/2}{\delta_{- \frac{1}{2} \lambda_{R}} \mathcal{R}^\mathrm{BW}_{1,0}\left(\sigma_{2}\right) \mathcal{H}^\mathrm{decay}_{\Lambda(1600), 0, \frac{1}{2}} \mathcal{H}^\mathrm{production}_{\Lambda(1600), \lambda_{R}, 0} d^{\frac{1}{2}}_{\lambda_{R},- \frac{1}{2}}\left(\theta_{31}\right)} + \sum_{\lambda_{R}=-1/2}^{1/2}{\delta_{- \frac{1}{2} \lambda_{R}} \mathcal{R}^\mathrm{BW}_{0,0}\left(\sigma_{2}\right) \mathcal{H}^\mathrm{decay}_{\Lambda(1670), 0, \frac{1}{2}} \mathcal{H}^\mathrm{production}_{\Lambda(1670), \lambda_{R}, 0} d^{\frac{1}{2}}_{\lambda_{R},- \frac{1}{2}}\left(\theta_{31}\right)} + \sum_{\lambda_{R}=-3/2}^{3/2}{\delta_{- \frac{1}{2} \lambda_{R}} \mathcal{R}^\mathrm{BW}_{2,1}\left(\sigma_{2}\right) \mathcal{H}^\mathrm{decay}_{\Lambda(1690), 0, \frac{1}{2}} \mathcal{H}^\mathrm{production}_{\Lambda(1690), \lambda_{R}, 0} d^{\frac{3}{2}}_{\lambda_{R},- \frac{1}{2}}\left(\theta_{31}\right)} + \sum_{\lambda_{R}=-1/2}^{1/2}{\delta_{- \frac{1}{2} \lambda_{R}} \mathcal{R}^\mathrm{BW}_{0,0}\left(\sigma_{2}\right) \mathcal{H}^\mathrm{decay}_{\Lambda(2000), 0, \frac{1}{2}} \mathcal{H}^\mathrm{production}_{\Lambda(2000), \lambda_{R}, 0} d^{\frac{1}{2}}_{\lambda_{R},- \frac{1}{2}}\left(\theta_{31}\right)} + \sum_{\lambda_{R}=-1/2}^{1/2}{\frac{\delta_{- \frac{1}{2} \lambda_{R}} F_{0}\left(R_{\Lambda_c} q_{_{m_{0},m_{\pi^+}}}\left(\sigma_{2}\right)\right) \mathcal{R}^\mathrm{Flatté}\left(\sigma_{2}\right) \mathcal{H}^\mathrm{decay}_{\Lambda(1405), 0, \frac{1}{2}} \mathcal{H}^\mathrm{production}_{\Lambda(1405), \lambda_{R}, 0} d^{\frac{1}{2}}_{\lambda_{R},- \frac{1}{2}}\left(\theta_{31}\right)}{F_{0}\left(R_{\Lambda_c} q_{_{m_{0},m_{\pi^+}}}\left(m_{L(1405)}^{2}\right)\right)}} \\
A^{3}_{- \frac{1}{2}, \frac{1}{2}} &=& \sum_{\lambda_{R}=-3/2}^{3/2}{\delta_{- \frac{1}{2} \lambda_{R}} \mathcal{R}^\mathrm{BW}_{1,1}\left(\sigma_{3}\right) \mathcal{H}^\mathrm{decay}_{\Delta(1232), \frac{1}{2}, 0} \mathcal{H}^\mathrm{production}_{\Delta(1232), \lambda_{R}, 0} d^{\frac{3}{2}}_{\lambda_{R},\frac{1}{2}}\left(\theta_{12}\right)} + \sum_{\lambda_{R}=-3/2}^{3/2}{\delta_{- \frac{1}{2} \lambda_{R}} \mathcal{R}^\mathrm{BW}_{1,1}\left(\sigma_{3}\right) \mathcal{H}^\mathrm{decay}_{\Delta(1600), \frac{1}{2}, 0} \mathcal{H}^\mathrm{production}_{\Delta(1600), \lambda_{R}, 0} d^{\frac{3}{2}}_{\lambda_{R},\frac{1}{2}}\left(\theta_{12}\right)} + \sum_{\lambda_{R}=-3/2}^{3/2}{\delta_{- \frac{1}{2} \lambda_{R}} \mathcal{R}^\mathrm{BW}_{2,1}\left(\sigma_{3}\right) \mathcal{H}^\mathrm{decay}_{\Delta(1700), \frac{1}{2}, 0} \mathcal{H}^\mathrm{production}_{\Delta(1700), \lambda_{R}, 0} d^{\frac{3}{2}}_{\lambda_{R},\frac{1}{2}}\left(\theta_{12}\right)} \\
A^{1}_{\frac{1}{2}, - \frac{1}{2}} &=& \sum_{\lambda_{R}=-1}^{1}{- \delta_{\frac{1}{2}, \lambda_{R} + \frac{1}{2}} \mathcal{R}^\mathrm{BW}_{1,0}\left(\sigma_{1}\right) \mathcal{H}^\mathrm{decay}_{K(892), 0, 0} \mathcal{H}^\mathrm{production}_{K(892), \lambda_{R}, - \frac{1}{2}} d^{1}_{\lambda_{R},0}\left(\theta_{23}\right)} + \sum_{\lambda_{R}=0}{- \delta_{\frac{1}{2}, \lambda_{R} + \frac{1}{2}} \mathcal{R}^\mathrm{Bugg}\left(\sigma_{1}\right) \mathcal{H}^\mathrm{decay}_{K(1430), 0, 0} \mathcal{H}^\mathrm{production}_{K(1430), \lambda_{R}, - \frac{1}{2}} d^{0}_{\lambda_{R},0}\left(\theta_{23}\right)} + \sum_{\lambda_{R}=0}{- \delta_{\frac{1}{2}, \lambda_{R} + \frac{1}{2}} \mathcal{R}^\mathrm{Bugg}\left(\sigma_{1}\right) \mathcal{H}^\mathrm{decay}_{K(700), 0, 0} \mathcal{H}^\mathrm{production}_{K(700), \lambda_{R}, - \frac{1}{2}} d^{0}_{\lambda_{R},0}\left(\theta_{23}\right)} \\
A^{2}_{\frac{1}{2}, - \frac{1}{2}} &=& \sum_{\lambda_{R}=-3/2}^{3/2}{- \delta_{\frac{1}{2} \lambda_{R}} \mathcal{R}^\mathrm{BW}_{2,1}\left(\sigma_{2}\right) \mathcal{H}^\mathrm{decay}_{\Lambda(1520), 0, - \frac{1}{2}} \mathcal{H}^\mathrm{production}_{\Lambda(1520), \lambda_{R}, 0} d^{\frac{3}{2}}_{\lambda_{R},\frac{1}{2}}\left(\theta_{31}\right)} + \sum_{\lambda_{R}=-1/2}^{1/2}{- \delta_{\frac{1}{2} \lambda_{R}} \mathcal{R}^\mathrm{BW}_{1,0}\left(\sigma_{2}\right) \mathcal{H}^\mathrm{decay}_{\Lambda(1600), 0, - \frac{1}{2}} \mathcal{H}^\mathrm{production}_{\Lambda(1600), \lambda_{R}, 0} d^{\frac{1}{2}}_{\lambda_{R},\frac{1}{2}}\left(\theta_{31}\right)} + \sum_{\lambda_{R}=-1/2}^{1/2}{- \delta_{\frac{1}{2} \lambda_{R}} \mathcal{R}^\mathrm{BW}_{0,0}\left(\sigma_{2}\right) \mathcal{H}^\mathrm{decay}_{\Lambda(1670), 0, - \frac{1}{2}} \mathcal{H}^\mathrm{production}_{\Lambda(1670), \lambda_{R}, 0} d^{\frac{1}{2}}_{\lambda_{R},\frac{1}{2}}\left(\theta_{31}\right)} + \sum_{\lambda_{R}=-3/2}^{3/2}{- \delta_{\frac{1}{2} \lambda_{R}} \mathcal{R}^\mathrm{BW}_{2,1}\left(\sigma_{2}\right) \mathcal{H}^\mathrm{decay}_{\Lambda(1690), 0, - \frac{1}{2}} \mathcal{H}^\mathrm{production}_{\Lambda(1690), \lambda_{R}, 0} d^{\frac{3}{2}}_{\lambda_{R},\frac{1}{2}}\left(\theta_{31}\right)} + \sum_{\lambda_{R}=-1/2}^{1/2}{- \delta_{\frac{1}{2} \lambda_{R}} \mathcal{R}^\mathrm{BW}_{0,0}\left(\sigma_{2}\right) \mathcal{H}^\mathrm{decay}_{\Lambda(2000), 0, - \frac{1}{2}} \mathcal{H}^\mathrm{production}_{\Lambda(2000), \lambda_{R}, 0} d^{\frac{1}{2}}_{\lambda_{R},\frac{1}{2}}\left(\theta_{31}\right)} + \sum_{\lambda_{R}=-1/2}^{1/2}{- \frac{\delta_{\frac{1}{2} \lambda_{R}} F_{0}\left(R_{\Lambda_c} q_{_{m_{0},m_{\pi^+}}}\left(\sigma_{2}\right)\right) \mathcal{R}^\mathrm{Flatté}\left(\sigma_{2}\right) \mathcal{H}^\mathrm{decay}_{\Lambda(1405), 0, - \frac{1}{2}} \mathcal{H}^\mathrm{production}_{\Lambda(1405), \lambda_{R}, 0} d^{\frac{1}{2}}_{\lambda_{R},\frac{1}{2}}\left(\theta_{31}\right)}{F_{0}\left(R_{\Lambda_c} q_{_{m_{0},m_{\pi^+}}}\left(m_{L(1405)}^{2}\right)\right)}} \\
A^{3}_{\frac{1}{2}, - \frac{1}{2}} &=& \sum_{\lambda_{R}=-3/2}^{3/2}{\delta_{\frac{1}{2} \lambda_{R}} \mathcal{R}^\mathrm{BW}_{1,1}\left(\sigma_{3}\right) \mathcal{H}^\mathrm{decay}_{\Delta(1232), - \frac{1}{2}, 0} \mathcal{H}^\mathrm{production}_{\Delta(1232), \lambda_{R}, 0} d^{\frac{3}{2}}_{\lambda_{R},- \frac{1}{2}}\left(\theta_{12}\right)} + \sum_{\lambda_{R}=-3/2}^{3/2}{\delta_{\frac{1}{2} \lambda_{R}} \mathcal{R}^\mathrm{BW}_{1,1}\left(\sigma_{3}\right) \mathcal{H}^\mathrm{decay}_{\Delta(1600), - \frac{1}{2}, 0} \mathcal{H}^\mathrm{production}_{\Delta(1600), \lambda_{R}, 0} d^{\frac{3}{2}}_{\lambda_{R},- \frac{1}{2}}\left(\theta_{12}\right)} + \sum_{\lambda_{R}=-3/2}^{3/2}{\delta_{\frac{1}{2} \lambda_{R}} \mathcal{R}^\mathrm{BW}_{2,1}\left(\sigma_{3}\right) \mathcal{H}^\mathrm{decay}_{\Delta(1700), - \frac{1}{2}, 0} \mathcal{H}^\mathrm{production}_{\Delta(1700), \lambda_{R}, 0} d^{\frac{3}{2}}_{\lambda_{R},- \frac{1}{2}}\left(\theta_{12}\right)} \\
A^{1}_{\frac{1}{2}, \frac{1}{2}} &=& \sum_{\lambda_{R}=-1}^{1}{\delta_{\frac{1}{2}, \lambda_{R} - \frac{1}{2}} \mathcal{R}^\mathrm{BW}_{1,0}\left(\sigma_{1}\right) \mathcal{H}^\mathrm{decay}_{K(892), 0, 0} \mathcal{H}^\mathrm{production}_{K(892), \lambda_{R}, \frac{1}{2}} d^{1}_{\lambda_{R},0}\left(\theta_{23}\right)} + \sum_{\lambda_{R}=0}{\delta_{\frac{1}{2}, \lambda_{R} - \frac{1}{2}} \mathcal{R}^\mathrm{Bugg}\left(\sigma_{1}\right) \mathcal{H}^\mathrm{decay}_{K(1430), 0, 0} \mathcal{H}^\mathrm{production}_{K(1430), \lambda_{R}, \frac{1}{2}} d^{0}_{\lambda_{R},0}\left(\theta_{23}\right)} + \sum_{\lambda_{R}=0}{\delta_{\frac{1}{2}, \lambda_{R} - \frac{1}{2}} \mathcal{R}^\mathrm{Bugg}\left(\sigma_{1}\right) \mathcal{H}^\mathrm{decay}_{K(700), 0, 0} \mathcal{H}^\mathrm{production}_{K(700), \lambda_{R}, \frac{1}{2}} d^{0}_{\lambda_{R},0}\left(\theta_{23}\right)} \\
A^{2}_{\frac{1}{2}, \frac{1}{2}} &=& \sum_{\lambda_{R}=-3/2}^{3/2}{\delta_{\frac{1}{2} \lambda_{R}} \mathcal{R}^\mathrm{BW}_{2,1}\left(\sigma_{2}\right) \mathcal{H}^\mathrm{decay}_{\Lambda(1520), 0, \frac{1}{2}} \mathcal{H}^\mathrm{production}_{\Lambda(1520), \lambda_{R}, 0} d^{\frac{3}{2}}_{\lambda_{R},- \frac{1}{2}}\left(\theta_{31}\right)} + \sum_{\lambda_{R}=-1/2}^{1/2}{\delta_{\frac{1}{2} \lambda_{R}} \mathcal{R}^\mathrm{BW}_{1,0}\left(\sigma_{2}\right) \mathcal{H}^\mathrm{decay}_{\Lambda(1600), 0, \frac{1}{2}} \mathcal{H}^\mathrm{production}_{\Lambda(1600), \lambda_{R}, 0} d^{\frac{1}{2}}_{\lambda_{R},- \frac{1}{2}}\left(\theta_{31}\right)} + \sum_{\lambda_{R}=-1/2}^{1/2}{\delta_{\frac{1}{2} \lambda_{R}} \mathcal{R}^\mathrm{BW}_{0,0}\left(\sigma_{2}\right) \mathcal{H}^\mathrm{decay}_{\Lambda(1670), 0, \frac{1}{2}} \mathcal{H}^\mathrm{production}_{\Lambda(1670), \lambda_{R}, 0} d^{\frac{1}{2}}_{\lambda_{R},- \frac{1}{2}}\left(\theta_{31}\right)} + \sum_{\lambda_{R}=-3/2}^{3/2}{\delta_{\frac{1}{2} \lambda_{R}} \mathcal{R}^\mathrm{BW}_{2,1}\left(\sigma_{2}\right) \mathcal{H}^\mathrm{decay}_{\Lambda(1690), 0, \frac{1}{2}} \mathcal{H}^\mathrm{production}_{\Lambda(1690), \lambda_{R}, 0} d^{\frac{3}{2}}_{\lambda_{R},- \frac{1}{2}}\left(\theta_{31}\right)} + \sum_{\lambda_{R}=-1/2}^{1/2}{\delta_{\frac{1}{2} \lambda_{R}} \mathcal{R}^\mathrm{BW}_{0,0}\left(\sigma_{2}\right) \mathcal{H}^\mathrm{decay}_{\Lambda(2000), 0, \frac{1}{2}} \mathcal{H}^\mathrm{production}_{\Lambda(2000), \lambda_{R}, 0} d^{\frac{1}{2}}_{\lambda_{R},- \frac{1}{2}}\left(\theta_{31}\right)} + \sum_{\lambda_{R}=-1/2}^{1/2}{\frac{\delta_{\frac{1}{2} \lambda_{R}} F_{0}\left(R_{\Lambda_c} q_{_{m_{0},m_{\pi^+}}}\left(\sigma_{2}\right)\right) \mathcal{R}^\mathrm{Flatté}\left(\sigma_{2}\right) \mathcal{H}^\mathrm{decay}_{\Lambda(1405), 0, \frac{1}{2}} \mathcal{H}^\mathrm{production}_{\Lambda(1405), \lambda_{R}, 0} d^{\frac{1}{2}}_{\lambda_{R},- \frac{1}{2}}\left(\theta_{31}\right)}{F_{0}\left(R_{\Lambda_c} q_{_{m_{0},m_{\pi^+}}}\left(m_{L(1405)}^{2}\right)\right)}} \\
A^{3}_{\frac{1}{2}, \frac{1}{2}} &=& \sum_{\lambda_{R}=-3/2}^{3/2}{\delta_{\frac{1}{2} \lambda_{R}} \mathcal{R}^\mathrm{BW}_{1,1}\left(\sigma_{3}\right) \mathcal{H}^\mathrm{decay}_{\Delta(1232), \frac{1}{2}, 0} \mathcal{H}^\mathrm{production}_{\Delta(1232), \lambda_{R}, 0} d^{\frac{3}{2}}_{\lambda_{R},\frac{1}{2}}\left(\theta_{12}\right)} + \sum_{\lambda_{R}=-3/2}^{3/2}{\delta_{\frac{1}{2} \lambda_{R}} \mathcal{R}^\mathrm{BW}_{1,1}\left(\sigma_{3}\right) \mathcal{H}^\mathrm{decay}_{\Delta(1600), \frac{1}{2}, 0} \mathcal{H}^\mathrm{production}_{\Delta(1600), \lambda_{R}, 0} d^{\frac{3}{2}}_{\lambda_{R},\frac{1}{2}}\left(\theta_{12}\right)} + \sum_{\lambda_{R}=-3/2}^{3/2}{\delta_{\frac{1}{2} \lambda_{R}} \mathcal{R}^\mathrm{BW}_{2,1}\left(\sigma_{3}\right) \mathcal{H}^\mathrm{decay}_{\Delta(1700), \frac{1}{2}, 0} \mathcal{H}^\mathrm{production}_{\Delta(1700), \lambda_{R}, 0} d^{\frac{3}{2}}_{\lambda_{R},\frac{1}{2}}\left(\theta_{12}\right)} \\
\end{array}\end{split}\]