BoundHDibaryon in Flavor SU(3) Limit of Lattice QCD

Abstract

The flavor-singlet H dibaryon, which has strangeness -2 and baryon number 2, is studied by the approach recently developed for the baryon-baryon interactions in lattice QCD. The flavor-singlet central potential is derived from the spatial and imaginary-time dependence of the Nambu-Bethe-Salpeter wave function measured in N(f)=3 full QCD simulations with the lattice size of L≃2,3,4 fm. The potential is found to be insensitive to the volume, and it leads to a bound H dibaryon with the binding energy of 30-40 MeV for the pseudoscalar meson mass of 673-1015 MeV.

Computational Nuclear Physics and Post Hartree-Fock Methods

“…[5,5,[17][18][19][20][21][22][23][24][25][26]. Parallel to the development of nuclear forces from EFT, which employ symmetries of quantum chromodynamics, there are recent and promising approaches to derive the EoS using forces constrained from lattice quantum chromodynamics calculations [27], see chapters 2 and 3 of the present text.…”

Doubly magic nuclei from lattice QCD forces at MPS=469MeV/c2

“…The HAL469 interaction has the lowest M PS value among those considered in Refs. [22,23], while from Ref. [24] we know that it is the only one saturating nuclear matter (although not at the physical saturation point).…”

“…[22,23], while from Ref. [24] we know that it is the only one saturating nuclear matter (although not at the physical saturation point). Moreover, we have tested that SCGF attempts at calculating asymmetric isotopes, like 28 O, predict strongly unbound systems even for HAL469.…”

“…[24] showed that the HAL QCD interactions in the SU(3) limit do not bind at very large pion masses except for the lowest available value M PS = 469 MeV/c 2 . The saturation of nuclear matter in this case is also confirmed by later SCGF calculations [43].…”

“…In these cases, potentials have been obtained for the 1 S 0 and the coupled 3 S 1 -3 D 1 channels [22,23]. Exploratory calculations based on these HAL QCD potentials were performed in the Brueckner Hartree-Fock (BHF) approach [24,25].…”