  A phenomenological model is proposed for the analysis of the properties of
the Kaonic Nuclear Cluster (KNC) Kpp in its ground state. Inside the KNC K^-pp
we describe the relative motion of the protons in the pp pair and the motion of
the K^- meson relative to the pp pair in terms of wave functions of
3-dimensional harmonic oscillators. The interaction strength is parameterised
in our model by the frequency of the longitudinal oscillation of the K^- meson
relative to the pp pair. This parameter was determined with the binding energy
and width of the strange baryon Lambda(1405) by assuming that it is a bound
state of the K^-p pair. In terms of this interaction strength we calculate the
binding energy epsilon_(Kpp) = - 118 MeV, the partial widths of non-pionic
decay channels and the total width, Gamma_(Kpp) = 58 MeV. This agrees well with
the experimental data by the FINUDA Collaboration (PRL 94, 212303 (2005)):
epsilon_exp = - 115(+6/-5) MeV and Gamma_exp = 67(+14/-11) MeV. The discrepancy
with the results, obtained by Akaishi and Yamazaki within the potential model
approach, is discussed.
