Phenomenological model of the Kaonic Nuclear Cluster K^-pp in the ground state
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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.
22 pages, 6 figures, Latex, The amplitudes of elastic and inelastic K^-pp scattering are calculated using the chiral Lagrangian with SU(3)xSU(3) chiral symmetry and derivative meson-baryon couplings. The theoretical binding energy and width of the K^-pp bound state agree well with the experimental data by the FINUDA Collaboration. The discrepancy with the results, obtained by Akaishi and Yamazaki within the potential model approach, is discussed and clarified
22 pages, 6 figures, Latex, The amplitudes of elastic and inelastic K^-pp scattering are calculated using the chiral Lagrangian with SU(3)xSU(3) chiral symmetry and derivative meson-baryon couplings. The theoretical binding energy and width of the K^-pp bound state agree well with the experimental data by the FINUDA Collaboration. The discrepancy with the results, obtained by Akaishi and Yamazaki within the potential model approach, is discussed and clarified