The nucleon(N)-Omega(Ω) system in the S-wave and spin-2 channel (S25) is studied from the (2+1)-flavor lattice QCD with nearly physical quark masses (mπ≃146MeV and mK≃525MeV). The time-dependent HAL ...QCD method is employed to convert the lattice QCD data of the two-baryon correlation function to the baryon-baryon potential and eventually to the scattering observables. The NΩ(S25) potential, obtained under the assumption that its couplings to the D-wave octet-baryon pairs are small, is found to be attractive in all distances and to produce a quasi-bound state near unitarity: In this channel, the scattering length, the effective range and the binding energy from QCD alone read a0=5.30(0.44)(−0.01+0.16)fm, reff=1.26(0.01)(−0.01+0.02)fm, B=1.54(0.30)(−0.10+0.04)MeV, respectively. Including the extra Coulomb attraction, the binding energy of pΩ−(S25) becomes BpΩ−=2.46(0.34)(−0.11+0.04)MeV. Such a spin-2 pΩ− state could be searched through two-particle correlations in p-p, p-nucleus and nucleus-nucleus collisions.
Recently, the ΛΛ potential at nearly physical quark masses has been calculated in the lattice QCD simulations by the HAL QCD Collaboration which are the most consistent potential with the ...experimental data. In this study making use of this ΛΛ interaction the binding energy and the radius matter for the ground state of hypernucleus (_ΛΛ^6)He is calculated via solving the coupled Faddeev equations. Here, for the Λα interaction; three different and common types of interactions, the Isle-type potential, the single Gaussian potential and the Maeda-Schmidt potential are examined. Numerical analyzes for (_ΛΛ^6)He using three ΛΛ interaction models and three models of phenomenological Λα interaction lead to the values of ground state energy between 7.197 and 8.408 MeV, and the value of the radius of matter in the range of 1.731 to 1.954 fm. Numerical results show that the minimum value of ground state binding energy, which is closest to the experimental value, occurs when one uses the HAL QCD ΛΛ potential at lattice time t⁄a=12 and the MS phenomenological type Λα potential. Also, the geometrical properties of (_ΛΛ^6)He system are investigated.
We study S -wave interactions in the I ( J p ) = 1 / 2 ( 1 / 2 − ) Λ c K + − p D s system on the basis of the coupled-channel Hadrons to Atomic nuclei from Lattice Quantum ChromoDynamics method. The ...potentials which are faithful to QCD S-matrix below the p D * threshold are extracted from Nambu-Bethe-Salpeter wave functions on the lattice in flavor SU(3) limit. For the simulation, we employ 3-flavor full QCD gauge configurations on a ( 1.93 fm ) 3 volume at m π ≃ 872 MeV . We present our results of the S-wave coupled-channel potentials for the Λ c K + − p D s system in the 1 / 2 ( 1 / 2 − ) state as well as scattering observables obtained from the extracted potential matrix. We observe that the coupling between Λ c K + and p D s channels is weak. The phase shifts and scattering length obtained from the extracted potential matrix show that the Λ c K + interaction is attractive at low energy and stronger than the p D s interaction though no bound state at m π ≥ 872 MeV . Published by the American Physical Society 2024
The Faddeev equations in coordinate space are solved to study the ΩNN and ΩΩN three-body systems using the latest ΩNS25 and ΩΩ S01 interactions developed by the HAL QCD Collaboration. We recalculate ...the binding energy of the ΩNN system by examining three NN potentials, i.e., modern realistic AV18 potential, Yukawa-type Malfliet-Tjon (MT) interaction, and Gogny-Pires-Tourreil (GPT) soft and local potential. We take into account the contribution of the Coulomb potential. Our numerical calculations for Ωd(T=0) in maximum spin 5/2+ confirm ground state binding energy of 20.953, 19.368, and 20.439 MeV and a matter radius of 1.097, 1.373, and 1.309 fm using MT, GPT, and AV18 NN potentials, respectively. In the case of Ωd(0)5/2+ system, our numerical analysis shows that considering higher partial waves than s wave in NN interactions leads to an increase of about 0.2 MeV using GPT and about 0.1 MeV reduction with AV18 potentials. We study the convergence of three-body binding energies in a cluster model using the hyperspherical harmonics method and investigate the geometrical properties of Ωd(0)5/2+ ground states.
Abstract
We study the ground-state properties of the
double hyperon for
and
nuclei in a three-body model
. We solve two coupled Faddeev equations corresponding to the three-body configurations
and
in ...configuration space with the hyperspherical harmonics expansion method by employing the most recent hyperon-hyperon interactions obtained from lattice QCD simulations. Our numerical analysis for
, using three
lattice interaction models, leads to a ground state binding energy in the
MeV domain and the separations
and
in the domains of
fm and
fm, respectively. The binding energy of the double-
hypernucleus
leads to
MeV and consequently to smaller separations
fm and
fm. In addition to geometrical properties, we study the structure of ground-state wave functions and show that the main contributions are from the
wave channels. Our results are consistent with the existing theoretical and experimental data.
We derive a simple Woods-Saxon-type form for potentials between , and using a single-folding potential method, based on a separable Y-nucleon potential. The potentials and are accordingly obtained ...using the ESC08c Nijmegens potential (in channel) and HAL QCD collaboration interactions (in lattice QCD), respectively. In deriving the potential between Y and , the same potential between Y and N is employed. The binding energy, scattering length, and effective range of the Y particle on the alpha particle are approximated by the resulting potentials. The depths of the potentials in and systems are obtained at MeV and MeV, respectively. In the case of the potential, a fairly good agreement is observed between the single-folding potential method and the phenomenological potential of the Dover-Gal model. These potentials can be used in 3-,4- and 5-body cluster structures of and hypernuclei.
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