Λ^{\ast}-hypernuclei in phenomenological nuclear forces

Abstract

The ${\Lambda }^{\ast }$-hypernuclei, which are bound states of $\Lambda (1405)$ and nuclei, are discussed as a possible interpretation of the $\bar{K}$-nuclei. The Bonn and Nijmegen potentials are extended and used as a phenomenological potential between ${\Lambda }^{\ast }$ and $N$. The $K$-exchange potential is also considered in the ${\Lambda }^{\ast }$ and $N$ interaction. The two-body (${\Lambda }^{\ast }N$) and three-body (${\Lambda }^{\ast }NN$) systems are solved by a variational method. It is shown that the spin and isospin of the ground states are assigned as ${\Lambda }^{\ast }N(S=1,I=1/2)$ and ${\Lambda }^{\ast }NN(S=3/2,I=0)$, respectively. The binding energies of the ${\Lambda }^{\ast }$-hypernuclei are discussed in comparison with experiment.

References in corpus (2)

• Strange dibaryon resonance in the anti-KNN--piYN system
• Strange dibaryon and KNN-pi Sigma N coupled channel equation

Cited by in corpus (11)

• The nature of the Lambda(1405) resonance in chiral dynamics
• Variational calculation of the ppK^- system based on chiral SU(3) dynamics
• Resonance energy of the barKNN-piYN system
• A narrow $DNN$ quasi-bound state
• Improved Fixed Center Approximation of the Faddeev equations for the $\bar{K}NN$ system with S=0
• The Lambda* N interaction and two-body bound state based on chiral dynamics
• ppK- bound states from Skyrmions
• Deeply-bound $K^{-}pp$ state in the ${}^3$He(in-flight $K^{-}$, $n$) spectrum and its moving pole near the $\pi \Sigma N$ threshold
• Quadruply charmed baryons as heavy quark symmetry partners of the $D_{s0}^{\ast }(2317)$
• One way to verify the molecular picture of exotic hadrons --from $DK$ to $DDK/D{\bar{D}}^{(\ast )}K$
• Development of liquid helium-3 target for experimental studies of antikaon-nucleon interaction at J-PARC