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Axial-Current Matrix Elements in Light Nuclei from Lattice QCD

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arxiv 1611.00344 v1 pith:STYR7AKV submitted 2016-11-01 hep-lat hep-phnucl-th

Martin J. Savage , Phiala E. Shanahan , Brian C. Tiburzi , Michael L. Wagman , Frank Winter , Silas R. Beane , Emmanuel Chang , Zohreh Davoudi
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William Detmold Kostas Orginos
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classification hep-lathep-phnucl-th
keywords axial-currentcalculationselementslightmatrixnucleibetacross
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

I present results from the first lattice QCD calculations of axial-current matrix elements in light nuclei, performed by the NPLQCD collaboration. Precision calculations of these matrix elements, and the subsequent extraction of multi-nucleon axial-current operators, are essential in refining theoretical predictions of the proton-proton fusion cross section, neutrino-nucleus cross sections and $\beta\beta$-decay rates of nuclei. In addition, they are expected to shed light on the phenomenological quenching of $g_A$ that is required in nuclear many-body calculations.

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