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Baryon interactions from lattice QCD with physical masses -- Overview and $S = 0, -4$ sectors --

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arxiv 1702.01600 v2 pith:26HU5C3D submitted 2017-02-06 hep-lat hep-phnucl-th

classification hep-lathep-phnucl-th
keywords forcessimeqlatticeactioncentralchannelmassesoverview
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

Nuclear forces and hyperon forces are studied by lattice QCD. Simulations are performed with (almost) physical quark masses, $m_\pi \simeq 146$ MeV and $m_K \simeq 525$ MeV, where $N_f=2+1$ nonperturbatively ${\cal O}(a)$-improved Wilson quark action with stout smearing and Iwasaki gauge action are employed on the lattice of $(96a)^4 \simeq (8.1\mbox{fm})^4$ with $a^{-1} \simeq 2.3$ GeV. In this report, we give the overview of the theoretical framework and present the numerical results for two-nucleon forces ($S=0$) and two-$\Xi$ forces ($S=-4$). Central forces are studied in $^1S_0$ channel, and central and tensor forces are obtained in $^3S_1$-$^3D_1$ coupled channel analysis.

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  1. Hermitizing the HAL QCD potential in the derivative expansion

    hep-lat 2019-09 conditional novelty 6.0 of 10

    A formalism is given to convert the non-Hermitian HAL QCD potential into a Hermitian one order by order, with exact treatment at next-to-leading order, and the NLO correction for Xi-Xi(1S0) is small.

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