and the $-1/a_2$ and $\frac12(r_2-\tilde{r}_2)k_G^2$ terms are comparable for $l=2$, but the higher order terms are well converged for $l=1,2$ as expected by the counting rules of the theory.

![ Phase shift, $\delta_0$, (left panel) and the real part of denominator, $ReD_0(k)$, of the amplitude (right panel) as functions of $T_\alpha$ (where $k=\sqrt{1.5\mu T_\alpha}$). Curves are plotted by using the effective range parameters, fitted from the $S0$, $S1$, $S2$ data sets, presented in Table \[table:s-wave\_parameters\]. Exp. phase shift data are also included in the figure. A filled box in the right panel represents the excited binding energy of the $0^+_2$ state. []{data-label="fig;sw"}](fig-phsw.eps "fig:"){width="7.5cm"} ![ Phase shift, $\delta_0$, (left panel) and the real part of denominator, $ReD_0(k)$, of the amplitude (right panel) as functions of $T_\alpha$ (where $k=\sqrt{1.5\mu T_\alpha}$). Curves are plotted by using the effective range parameters, fitted from the $S0$, $S1$, $S2$ data sets, presented in Table \[table:s-wave\_parameters\]. Exp. phase shift data are also included in the figure. A filled box in the right panel represents the excited binding energy of the $0^+_2$ state. []{data-label="fig;sw"}](fig-fsw.eps "fig:"){width="7.5cm"}

![ Phase shift, $\delta_1$, (left panel) and the real part of denominator, $ReD_1(k)$, of the amplitude (right panel) as functions of $T_\alpha$. Curves 