Deeply-bound $K^{-}pp$ state in the ${}^3$He(in-flight $K^{-}$, $n$) spectrum and its moving pole near the $\pi \Sigma N$ threshold

Abstract

The formation of a deeply-bound $K^{-}pp$ state with $I=1/2$, $J^{\pi }=0^{-}$ by the ${}^3$He(in-flight $K^{-}$, $n$) reaction is theoretically investigated in a distorted-wave impulse approximation using the Green's function method. The expected inclusive and semi-exclusive spectra at $p_{K^{-}}=1.0$ GeV/c and ${\theta }_{\mathrm{lab}}=0^{\circ }$ are calculated for the forthcoming J-PARC E15 experiment. We demonstrate these spectra with several types of phenomenological $K^{-}$-``$pp$'' optical potentials $U^{\mathrm{opt}}(E)$ which have an energy-dependent imaginary part multiplied by a phase space suppression factor, fitting to recent theoretical predictions or experimental candidates of the $K^{-}pp$ bound state. The results show that a cusp-like peak at the $\pi \Sigma N$ threshold is an unique signal for the $K^{-}pp$ bound state in the spectrum including the [$K^{-}pp$] $\to$ $Y+N$ decay process from the two-nucleon $K^{-}$ absorption, as well as a distinct peak of the $K^{-}pp$ bound state. The shape of the spectrum is explained by a trajectory of a moving pole of the $K^{-}pp$ bound state in the complex energy plane. The importance of the spectrum with [$K^{-}pp$] $\to$ $Y+N$ from the two-nucleon $K^{-}$ absorption is emphasized in order to extract clear evidence of the $K^{-}pp$ bound state.

41 pages, 14 figures, accepted version for publication in Phys. Rev. C

References in corpus (23)

• Effective Kbar N interaction based on chiral SU(3) dynamics
• Faddeev calculation of a $K^{-}pp$ quasi-bound state
• Strange dibaryon resonance in the anti-KNN--piYN system
• Variational calculation of the ppK^- system based on chiral SU(3) dynamics
• The basic K nuclear cluster K- pp and its enhanced formation in the p + p -> K+ + X reaction
• $\bar{K}NN$ quasi-bound state and the $\bar{K}N$ interaction: coupled-channel Faddeev calculations of the $\bar{K}NN-\pi \Sigma N$ system
• $K^{-}pp$ system with chiral SU(3) effective interaction
• A critical view on the deeply bound K^- pp system
• $\bar{K}$ nuclear bound states in a dynamical model
• Resonance energy of the barKNN-piYN system
• Variational calculations for K-few-nucleon systems
• $\Lambda d$ correlations from the ${}^4$He(stopped-$K^{-}$,$d$) reaction
• In--Flight ($K^{-},p$) Reactions for the Formation of Kaonic Atoms and Kaonic Nuclei in Green function method
• Super strong nuclear force caused by migrating Kbar mesons - Revival of the Heitler-London-Heisenberg scheme in kaonic nuclear clusters
• $\Lambda N$ correlations from the stopped $K^{-}$ reaction on ${}^4$He
• Λ^{\ast}-hypernuclei in phenomenological nuclear forces
• Calculation of the ${}^3$He(in-flight $K^{-}$,$n$) reaction for searching the deeply-bound $K^{-}pp$ state
• First exclusive measurements of the K^-pp state - populated in the pp to K^+ Lambda p reaction at 2.85 GeV
• Formation spectra of light kaonic nuclei by in-flight ($\bar{K},N$) reactions with chiral unitary amplitude
• Isospin Properties of ($K^{-}$, $N$) Reactions for the Formation of Deeply-bound Antikaonic Nuclei
• ppK- bound states from Skyrmions
• Kaonic Nuclear Systems KbarN and KbarNN as Decaying States
• Kaon Absorption from Kaonic Atoms and Formation Spectra of Kaonic Nuclei

Cited by in corpus (6)

• 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
• Signature of strange dibaryons in kaon- and photon-induced reactions
• Structure, formation and decay of $\bar{K}NN$ system by Faddeev-AGS calculations
• Nuclear bound states of antikaons, or quantized multiskyrmions?
• Signature of strange dibaryon in kaon-induced reaction