In the Schrödinger equation (\[s15\]) it is given by the meson mass $m$. On the other hand, to determine the $\Lambda(1405)$ properties and to solve the scattering equation (\[a3\]) the reduced mass $\mu_{KN}$ is used. Due to this, the correction term $ \Delta E_{kin} $ is of the order of $1/M$. In addition, the meson wave function satisfies the relation $$\label{s19}
 \Delta_x \chi_K  = \sum_i \Delta_i\chi_K,$$ which may be obtained by partial integration over coordinate $y$ in Eq. (\[a5\]). In this way $$\label{s18} \Delta E_{kin} \chi_{NN} =-\frac{1}{M} \Sigma_i~  \int
\bf{dx }~\chi_K~\overrightarrow{\partial}_i\chi_K
~\overrightarrow{\partial}_i \chi_{NN},$$ which is very small due to angular averaging and sign changes in the derivatives. In more detail this correction reduces to $$\label{s18a} \Delta E_{kin} \chi_{NN} =-\frac{2}{M}  \int
d\bf{\xi}~ \frac{\overrightarrow{\xi } \overrightarrow{r}}{\xi
r}~~\frac{G(\bf{\xi}-\bf{r})\partial_{\xi} G(\xi)} { \int
d\bf{\eta}[ G(\bf{\eta}-\bf{r})+G(\bf{\eta})]^2 }  ~  ~\partial_r
\chi_{NN}(r),$$ and is suppressed by the angular average over $\xi$ and at large $r$ by the small overlap of $G(\bf{\xi}-\bf{r})$ and $G(\xi)$. The $\Delta E_{kin}$ makes a contribution $ \approx 0.2 $ MeV to the binding energy. Such twice damped, small terms of similar type, arise also in more involved versions of this calculation. The $\Delta
E_{kin}$ is of the same order but is given by very 