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Lattice-QCD Determination of the Hyperon Axial Couplings in the Continuum Limit | | Aditya Savanur
; Huey-Wen Lin
; | | Date: |
31 Dec 2018 | | Abstract: | We present the first continuum extrapolation of the hyperon octet axial
couplings ($g_{Sigma Sigma}$ and $g_{Xi Xi}$) from $N_f=2+1+1$ lattice QCD.
These couplings are important parameters in the low-energy effective field
theory description of the octet baryons and fundamental to the nonleptonic
decays of hyperons and to hyperon-hyperon and hyperon-nucleon scattering with
application to neutron stars. We use clover lattice fermion action for the
valence quarks with sea quarks coming from configurations of $N_f=2+1+1$ highly
improved staggered quarks (HISQ) generated by MILC Collaboration. Our work
includes the first calculation of $g_{Sigma Sigma}$ and $g_{Xi Xi}$
directly at the physical pion mass on the lattice, and a full account of
systematic uncertainty, including excited-state contamination, finite-volume
effects and continuum extrapolation, all addressed for the first time. We find
the continuum-limit hyperon coupling constants to be $g_{Sigma
Sigma}=0.4455(55)_ ext{stat}(65)_ ext{sys}$ and $g_{Xi Xi}
=-0.2703(47)_ ext{stat}(13)_ ext{sys}$, which correspond to low-energy
constants of $D = 0.708(10)_ ext{stat}(6)_ ext{sys}$ and $F =
0.438(7)_ ext{stat}(6)_ ext{sys}$. The corresponding SU(3) symmetry breaking
is 9\% which is about a factor of 2 smaller than the earlier lattice estimate. | | Source: | arXiv, 1901.0018 | | Services: | Forum | Review | PDF | Favorites | |
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