We derive a simple Woods-Saxon-type form for potentials between Y=Ξ,Ωandαusing a single-folding potential method,based on a separable Y-nucleon Potential.The PotentialsΞ+αandΩ+αare accordingly obtained using th...We derive a simple Woods-Saxon-type form for potentials between Y=Ξ,Ωandαusing a single-folding potential method,based on a separable Y-nucleon Potential.The PotentialsΞ+αandΩ+αare accordingly obtained using the ESC08 c Nijmegens potential(in 3 S1 channel)and HAL QCD collaborationΩN interactions(in lattice QCD),respectively.In deriving the potential between Y andα,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 inΩαandΞαsystems are obtained at-61 MeV and-24.4 MeV,respectively.In the case of theΞαpotential,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 ofΩandΞhypernuclei.展开更多
We study the ground-state properties of the _(YY)^(6)He double hyperon for _(ΛΛ)^(6)He and _(ΩΩ)^(6)He nuclei in a threebody model(Y+Y+α).We solve two coupled Faddeev equations corresponding to the three-body con...We study the ground-state properties of the _(YY)^(6)He double hyperon for _(ΛΛ)^(6)He and _(ΩΩ)^(6)He nuclei in a threebody model(Y+Y+α).We solve two coupled Faddeev equations corresponding to the three-body configurations(αY,Y)and(YY,α)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 _(ΛΛ)^(6)He,using threeΛΛlattice interaction models,leads to a ground state binding energy in the(-7.468,-7.804)MeV domain and the separations <r_(Λ-Λ)>and <r_(α-Λ)>in the domains of(3.555,3.629)fm and(2.867,2.902)fm,respectively.The binding energy of the double-Ω hypenucleus _(ΩΩ)^(6)He leads to -67.21 MeV and consequently to smaller separations <r_(Ω-Ω)>=1.521 fm and <r_(α-Ω)>=1.293 fm.In addition to geometrical properties,we study the structure of ground-state wave functions and show that the main contributions are from the s-wave channels.Our results are consistent with the existing theoretical and experimental data.展开更多
文摘We derive a simple Woods-Saxon-type form for potentials between Y=Ξ,Ωandαusing a single-folding potential method,based on a separable Y-nucleon Potential.The PotentialsΞ+αandΩ+αare accordingly obtained using the ESC08 c Nijmegens potential(in 3 S1 channel)and HAL QCD collaborationΩN interactions(in lattice QCD),respectively.In deriving the potential between Y andα,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 inΩαandΞαsystems are obtained at-61 MeV and-24.4 MeV,respectively.In the case of theΞαpotential,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 ofΩandΞhypernuclei.
基金Supported by the National Science Foundation under Grant No.NSF-PHY-2000029 with Central State University。
文摘We study the ground-state properties of the _(YY)^(6)He double hyperon for _(ΛΛ)^(6)He and _(ΩΩ)^(6)He nuclei in a threebody model(Y+Y+α).We solve two coupled Faddeev equations corresponding to the three-body configurations(αY,Y)and(YY,α)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 _(ΛΛ)^(6)He,using threeΛΛlattice interaction models,leads to a ground state binding energy in the(-7.468,-7.804)MeV domain and the separations <r_(Λ-Λ)>and <r_(α-Λ)>in the domains of(3.555,3.629)fm and(2.867,2.902)fm,respectively.The binding energy of the double-Ω hypenucleus _(ΩΩ)^(6)He leads to -67.21 MeV and consequently to smaller separations <r_(Ω-Ω)>=1.521 fm and <r_(α-Ω)>=1.293 fm.In addition to geometrical properties,we study the structure of ground-state wave functions and show that the main contributions are from the s-wave channels.Our results are consistent with the existing theoretical and experimental data.
