Formation spectra of light kaonic nuclei by in-flight ($\bar{K},N$) reactions with chiral unitary amplitude

Abstract

We study theoretically the in-flight ($K^{-},N$) reactions for the formation of light kaonic nuclear systems to get deeper physical insights on the expected spectra, and to investigate the experimental feasibility of the reaction at new facilities like J-PARC. We show the expected spectra for the formation of the $K^{-}pp,K^{-}pn$, $K^{-}nn$ and $K^{-}$-${}^{11}$B systems which are accessible by the ($K^{-},N$) experiments. By considering the conversion part of the Green's function, we can show the missing mass spectra of the ($K^{-},N$) reactions coincidence with the particle emissions due to $\bar{K}$ absorption in $\bar{K}N\to \pi Y$ processes. To calculate the cross sections, we use the so-called $T\rho$ approximation to evaluate the optical potential. As for the amplitude $T$, we adopt the chiral unitary amplitude of $\bar{K}N$ channel in vacuum for simplicity, and we also check the medium effects by applying the chiral amplitude at finite density. The effects of the p-wave optical potential of $\Sigma$(1385) channel and the contribution from ${\bar{K}}^0$ mixing in ${}^3$He($K^{-},n$) reaction are also evaluated numerically. To understand the meanings of the spectrum shape, we also study the behavior of the poles of kaon Green's function in nuclear matter. We conclude that ${}^3$He($K^{-},n$) and ${}^3$He($K^{-},p$) reactions coincident with the $\pi \Sigma$ emission due to $\bar{K}$ absorption may show the certain structure in the bound region spectra indicating the existence of the unstable kaonic nuclear bound states. As for the ${}^{12}$C($K^{-},p$) spectra with the $\pi \Sigma$ emission, we may also observe the structure in the bound region, however, we need to evaluate the medium effects carefully for larger nuclei.

arXiv comment14 pages, 12 figures

References in corpus (47)

• Non perturbative chiral approach to s-wave \bar{K}N interactions
• Chiral Dynamics of the Two Λ(1405) States
• In-medium nuclear interactions of low-energy hadrons
• The properties of \bar{K} in the nuclear medium
• Low lying S=-1 excited baryons and chiral symmetry
• Effective Kbar N interaction based on chiral SU(3) dynamics
• Faddeev calculation of a $K^{-}pp$ quasi-bound state
• Nuclear kaon dynamics
• Strange dibaryon resonance in the anti-KNN--piYN system
• Evidence for the two pole structure of the Lambda(1405) resonance
• Variational calculation of the ppK^- system based on chiral SU(3) dynamics
• $\bar{K}NN$ quasi-bound state and the $\bar{K}N$ interaction: coupled-channel Faddeev calculations of the $\bar{K}NN-\pi \Sigma N$ system
• Origin of resonances in the chiral unitary approach
• Flavor SU(3) breaking effects in the chiral unitary model for meson-baryon scatterings
• $K^{-}pp$ system with chiral SU(3) effective interaction
• A critical view on the deeply bound K^- pp system
• Variational calculations for K-few-nucleon systems
• High-density K nuclear systems with isovector deformation
• η- and η'-mesic nuclei and U_A(1) anomaly at finite density
• Deeply bound levels in kaonic atoms
• K anti-K N molecule state with I=1/2 and J^P=1/2^+ studied with three-body calculation
• Chiral approach to antikaon s- and p-wave interactions in dense nuclear matter
• Solution to Faddeev equations with two-body experimental amplitudes as input and application to J^P=1/2^+, S=0 baryon resonances
• Kaonic nuclei excited by the $(K^{-},N)$ reaction
• Formation of η'(958)-mesic nuclei and axial U_A(1) anomaly at finite density
• Nuclear bound states of $\omega$ mesons
• Formation of $\eta$-mesic Nuclei Using the Recoilless (d,${}^3$He) Reaction
• A critical analysis on deeply bound kaonic states in nuclei
• anti-K anti-K N molecule state in three-body calculation
• Detailed Analysis of the Chiral Unitary Model for Meson-Baryon Scattering with Flavor SU(3) Breaking Effects
• Medium effects to N(1535) resonance and eta mesic nuclei
• Chiral dynamics of p-wave in K^- p and coupled states
• In--Flight ($K^{-},p$) Reactions for the Formation of Kaonic Atoms and Kaonic Nuclei in Green function method
• Formation of mesic nuclei by (γ,p) reactions
• eta-Nucleus interactions and in-medium properties of N*(1535) in chiral models
• Level crossing of particle-hole and mesonic modes in eta mesic nuclei
• Narrow deeply bound $K^{-}$ atomic states
• Lambda(1405)-induced non-mesonic decay in kaonic nuclei
• $K^{-}$ and $\bar{p}$ deeply bound atomic states
• Formation of Kaonic Atoms and Kaonic Nuclei by In-flight ($K^{-},p$) reactions
• Calculation of the ${}^3$He(in-flight $K^{-}$,$n$) reaction for searching the deeply-bound $K^{-}pp$ state
• Isospin Properties of ($K^{-}$, $N$) Reactions for the Formation of Deeply-bound Antikaonic Nuclei
• Photoproduction of quasi-bound omega mesons in nuclei
• Study of light kaonic nuclei with a Chiral SU(3) - based KbarN interaction
• Kaon Absorption from Kaonic Atoms and Formation Spectra of Kaonic Nuclei
• Non-localities and Fermi motion corrections in $K^{-}$ atoms
• Formation of Deeply Bound Kaonic Atoms in (K^-,N) Reactions

Cited by in corpus (11)

• Branching ratios of mesonic and nonmesonic antikaon absorptions in nuclear medium
• Search for the deeply bound $K^{-}pp$ state from the semi-inclusive forward-neutron spectrum in the in-flight $K^{-}$ reaction on helium-3
• The K1.8BR spectrometer system at J-PARC
• Deeply-bound $K^{-}pp$ state in the ${}^3$He(in-flight $K^{-}$, $n$) spectrum and its moving pole near the $\pi \Sigma N$ threshold
• Proton emission off nuclei induced by kaons in flight
• Signature of strange dibaryons in kaon- and photon-induced reactions
• Development of liquid helium-3 target for experimental studies of antikaon-nucleon interaction at J-PARC
• Spectral function of the ${\eta }^{\prime }$ meson in nuclear medium based on phenomenological models
• Structure, formation and decay of $\bar{K}NN$ system by Faddeev-AGS calculations
• The (K-,p) reaction on nuclei with in-flight kaons
• Signature of strange dibaryon in kaon-induced reaction