Nucleon Isovector Axial Form Factors
- Brookhaven National Laboratory (BNL), Upton, NY (United States); Columbia Univ., New York, NY (United States)
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- NVIDIA Corporation, Santa Clara, CA (United States)
- Michigan State Univ., East Lansing, MI (United States)
We present results for the isovector axial vector form factors obtained using thirteen 2 + 1 + 1-flavor highly improved staggered quark (HISQ) ensembles generated by the MILC collaboration. The calculation of nucleon two- and three-point correlation functions has been done using Wilson-clover fermions. In the analysis of these data, we quantify the sensitivity of the results to strategies used for removing excited state contamination and invoke the partially conserved axial current relation between the form factors to choose between them. Our data driven analysis includes removing contributions from multihadron $Nπ$ states that make significant contributions. Our final results are $$g_A$$ = 1.292(53)stat(24)sys for the axial charge; $$g_S$$ = 1.085(50)stat(103)sys and $$g_T$$ = 0.991(21)stat(10)sys for the scalar and tensor charges; $$\langle{r^2_A}\rangle$$ = 0.439(56)stat(34)sys fm2 for the mean squared axial charge radius, $$g^*_P$$ = 9.03(47)stat(42)sys for the induced pseudoscalar charge; and $$g_{πNN}$$ = 14.14(81)stat(85)sys for the pion-nucleon coupling. We also provide a parametrization of the axial form factor $$G_A(Q^2)$$ over the range 0 ≤ $Q^2$ ≤ 1 GeV2 for use in phenomenology and a comparison with other lattice determinations. We find that the various lattice data agree within 10% but are significantly different from the extraction of $$G_A(Q^2)$$ from the $$ν$$-deuterium scattering data.
- Research Organization:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States); Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF)
- Sponsoring Organization:
- USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); USDOE Office of Science (SC), High Energy Physics (HEP)
- Contributing Organization:
- Precision Neutron Decay Matrix Elements (PNDME) Collaboration
- DOE Contract Number:
- 89233218CNA000001; AC02-05CH11231; AC05-00OR22725; AC52-06NA25396
- OSTI ID:
- 2375846
- Report Number(s):
- LA-UR--23-25225
- Country of Publication:
- United States
- Language:
- English
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