Doubly magic nuclei from Lattice QCD forces at $M_{PS}=$469 MeV/c${}^2$

Abstract

We perform ab initio self-consistent Green's function calculations of the closed shell nuclei ${}^4$He, ${}^{16}$O and ${}^{40}$Ca, based on two-nucleon potentials derived from Lattice QCD simulations, in the flavor SU(3) limit and at the pseudo-scalar meson mass of 469~MeV/c${}^2$. The nucleon-nucleon interaction is obtained using the HAL QCD method and its short-distance repulsion is treated by means of ladder resummations outside the model space. Our results show that this approach diagonalises ultraviolet degrees of freedom correctly. Therefore, ground state energies can be obtained from infrared extrapolations even for the relatively hard potentials of HAL QCD. Comparing to previous Brueckner Hartree-Fock calculations, the total binding energies are sensibly improved by the full account of many-body correlations. The results suggest an interesting possible behaviour in which nuclei are unbound at very large pion masses and islands of stability appear at first around the traditional doubly-magic numbers when the pion mass is lowered toward its physical value. The calculated one-nucleon spectral distributions are qualitatively close to those of real nuclei even for the pseudo-scalar meson mass considered here.

7 pages, 4 figures, RIKEN-QHP-286, RIKEN-iTHEMS-Report-17

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• Self-consistent Green's function theory for atomic nuclei
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• Lattice QCD and baryon-baryon interactions: HAL QCD method
• What is ab initio in nuclear theory?
• Pion-less effective field theory for atomic nuclei and lattice nuclei
• New Ideas in Constraining Nuclear Forces
• Toward an accurate strongly-coupled many-body theory within the equation of motion framework
• Pion-mass dependence of the nucleon-nucleon interaction
• Nonperturbative two-pion exchange contributions to the nucleon-nucleon interaction in covariant baryon chiral perturbation theory
• From the liquid drop model to lattice QCD
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• The one-pion-exchange potential with contact terms from lattice QCD simulations
• Expansion of one-, two- and three-body matrix elements on a generic spherical basis for nuclear ab initio calculations