Branching ratios of mesonic and nonmesonic antikaon absorptions in nuclear medium

Abstract

The branching ratios of K^- absorption at rest in nuclear matter are theoretically investigated in order to understand the mechanism of K^- absorption into nuclei. For this purpose mesonic and nonmesonic absorption potentials are evaluated as functions of nuclear density, the kaon momentum and energy from one- and two-body K^- self-energy, respectively. By using a chiral unitary approach for the s-wave Kbar N amplitude we find that both the mesonic and nonmesonic absorption potentials are dominated by the Lambda(1405) contributions. The fraction of the mesonic and nonmesonic absorptions are evaluated to be respectively about 70% and 30% at the saturation density almost independently on the kaon momentum. We also observe different behavior of the branching ratios to pi ^+ Sigma^- and pi^- Sigma^+ channels in mesonic absorption due to the interference between Lambda(1405) and the I=1 nonresonant background, which is consistent with experimental results. The nonmesonic absorption ratios [Lambda p]/[Sigma^0 p] and [Lambda n]/[Sigma^0 n] are about unity while [Sigma^+ n]/[Sigma^0 p] and [Sigma^- p]/[Sigma^0 n] are about two due to the Lambda(1405) dominance in absorption. Taking into account the kaon momenta and energies, the absorption potentials become weaker due to the downward shift of the initial K^-N two-body energy, but this does not drastirally change the nonmesonic fraction. The Sigma(1385) contribution in the p-wave Kbar N amplitude is examined and found to be very small compared to the Lambda(1405) contribution in slow K^- absorption.

18 pages, 22 figures

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Cited by in corpus (21)

• $K^{-}N$ amplitudes below threshold constrained by multinucleon absorption
• On the structure observed in the in-flight ${}^3\text{He}(K^{-},\Lambda p)n$ reaction at J-PARC
• Kaonic atoms and in-medium K-N amplitudes II: interplay between theory and phenomenology
• Recent studies of kaonic atoms and nuclear clusters
• Observation of a $\bar{K}NN$ bound state in the ${}^3\mathrm{He}(K^{-},\Lambda p)n$ reaction
• Few-body approach to structure of $\bar{K}$-nuclear quasi-bound states
• $\bar{K}NN$ Absorption within the Framework of the Fixed Center Approximation to Faddeev equations
• $K^{-}$- nuclear states: Binding energies and widths
• K${}^{-}$ multi-nucleon absorption cross sections and branching ratios in $\Lambda$p and ${\Sigma }^0$p final states
• Faddeev-Chiral Unitary Approach to the $K^{-}d$ scattering length
• Determination of compositeness of the Lambda(1405) resonance from its radiative decay
• Single- and two-nucleon antikaon absorption in nuclear matter with chiral meson-baryon interactions
• Are there any narrow $K^{-}$- nuclear states?
• First application of a microscopic $K^{-}NN$ absorption model in calculations of kaonic atoms
• Spectral function of the ${\eta }^{\prime }$ meson in nuclear medium based on phenomenological models
• Mesonic and non-mesonic branching ratios of K^- absorption in the nuclear medium
• $\bar{K}\bar{D}N$ molecular state as a "$uuds\bar{c}$ pentaquark" in a three-body calculation
• $\Lambda (1405)$ mediated triangle singularity in the $K^{-}d\to p{\Sigma }^{-}$ reaction
• Novel halos in light kaonic nuclei as an indicator of nuclear equation of state at supra-normal densities
• Mesons in Nuclei and Partial Restoration of Chiral Symmetry
• The Peak Structure in the In-Flight ${}^3\text{He}(K^{-},\Lambda p)n$ Reaction Around the $\bar{K}NN$ Threshold