rather loose as sizable fractions of the binding energies are hidden in the short ranged correlations.

The KNN bound state 
====================

This section presents an introduction to the method used in this work. Several steps describe the increasing degree of precision and also the increasing level of technical complications:

$\bullet$ At first the KNN levels are found within the fixed nucleon approximation with a simple $S$ wave KN interaction.

$\bullet$ The nucleon degrees of freedom and NN interactions are introduced and a related Schrödinger equation is solved.

$\bullet$ The method is extended to multiple channel situations.

$\bullet$ Both $S$ and $P$ wave KN interactions are allowed.

Consider scattering of a light meson on two identical, heavy nucleons. To begin with, the nucleons are fixed at coordinates $\textbf{x}_i (i=1,2) $ and the wave function is assumed to be in the form

$$\label{a2} \Psi(\textbf{x},\textbf{ x}_1 ,\textbf{x}_2) =
\chi_K(\textbf{x};\textbf{ x}_1, \textbf{x}_2)~
\chi_{NN}(\textbf{x}_1,\textbf{x}_2),$$

where $\textbf{x}$ is the meson coordinate. The notation is simplified and some possible indices are suppressed. The meson wave function $\chi_K $ is given by the solution of the multiple scattering equation $$\label{a3}
 \chi_K(\textbf{x},\textbf{x}_1,\textbf{x}_2)= \chi_K(\textbf{x})^o - \Sigma_i ~ \int \textbf{dy }\frac
{\exp[ip\mid \textbf{x-y}\mid ]}
 {4\pi \mid \textbf{x-y}\mid }~ U_{KN}(\textbf{y},\textbf{x}_i)~
\chi_K(\textbf{y},\textbf{x}_1,\textbf{x}_2)$$ obtained 