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Molecule model for kaonic nuclear cluster anti-KNN | | M. Faber
; A. N. Ivanov
; P. Kienle
; J. Marton
; M. Pitschmann
; | | Date: |
10 Dec 2009 | | Abstract: | We analyse the properties of the kaonic nuclear cluster (KNC) ar{K}NN with
the structure N(ar{K}N)_{I = 0}, having the quantum numbers I(J^{pi}) =
{1/2}(0^-), and treated as a quasi-bound hadronic molecule state. We describe
the properties of the hadronic molecule, or the KNC N(ar{K}N)_{I = 0}, in
terms of vibrational degrees of freedom with oscillator wave functions. These
wave functions, having the meaning of trial wave functions of variational
calculations, are parameterised by the frequency of oscillations of the
(ar{K}N)_{I = 0} pair, which is fixed in terms of the binding energy of the
strange baryon resonance Lambda(1405), treated as a quasi-bound (ar{K}N)_{I =
0} state. The binding energy and width of the kaonic nuclear clusters are
calculated in the heavy-baryon approximation by using chiral Lagrangians with
meson-baryon derivative couplings invariant under chiral SU(3)xSU(3) symmetry.
The results are B_{ar{K}NN} = 52.8 MeV and Gamma_{ar{K}NN} =
Gamma^{(
otpi)}_{ar{K}NN} + Gamma^{(pi)}_{ar{K}NN} = 86.6 MeV, where
B_{ar{K}NN} is the binding energy and Gamma^{(
otpi)}_{ar{K}NN} = 26.8
MeV and Gamma^{(pi)}_{ar{K}NN} = 59.8 MeV are the widths of non-pionic
ar{K}NN o N Lambda^0, N Sigma and pionic ar{K}NN o NSigmapi decay
modes, calculated for B_{ar{K}N} = 29 MeV and Gamma_{ar{K}N} = 40 MeV. | | Source: | arXiv, 0912.2084 | | Services: | Forum | Review | PDF | Favorites | |
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