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arXiv · 1207.1661

$\bar{K}NN$ Absorption within the Framework of the Fixed Center Approximation to Faddeev equations

M. Bayar·E. Oset
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Abstract

We present a method to evaluate the $\bar{K}$ absorption width in the bound $\bar{K}NN$ system. Most calculations of this system ignore this channel and only consider the $\bar{K}N \rightarrow πΣ$ conversion. Other works make a qualitative calculation using perturbative methods. Since the $ Λ(1405) $ resonance is playing a role in the process, the same resonance is changed by the presence of the absorption channels and we find that a full nonperturbative calculation is called for, which we present here. We employ the Fixed Center Approximation to Faddeev equations to account for $\bar{K}$ rescattering on the $ (NN) $ cluster and we find that the width of the states found previously for $ S=0 $ and $ S=1 $ increases by about 30 MeV due to the $\bar{K}NN$ absorption, to a total width of about 80 MeV.

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M. Bayar, E. Oset. 2014-06-04. $\bar{K}NN$ Absorption within the Framework of the Fixed Center Approximation to Faddeev equations. https://doi.org/10.1103/physrevc.88.044003

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