Extraction of nucleon axial charge and radius from lattice QCD results using baryon chiral perturbation theory

De-Liang Yao; Luis Alvarez-Ruso; Manuel J. Vicente-Vacas

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Extraction of nucleon axial charge and radius from lattice QCD results using baryon chiral perturbation theory

机译：使用Baryon手性扰动理论从晶格QCD结果提取核心轴向电荷和半径

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We calculate the nucleon axial form factor up to the leading one-loop order in a covariant chiral effectivefield theory with the Δ(1232) resonance as an explicit degree of freedom.We fit the axial form factor to thelatest lattice QCD data and pin down the relevant low-energy constants. The lattice QCD data, for variouspion masses below 400 MeV, can be well described up to a momentum transfer of ～0.6 GeV. The Δ(1232) loops contribute significantly to this agreement. Furthermore, we extract the axial charge and radius basedon the fitted values of the low-energy constants. The results are g_A = 1.237(74) and = 0.263(38) fm~2.The obtained coupling g_A is consistent with the experimental value if the uncertainty is taken into account.The axial radius is below but in agreement with the recent extraction from neutrino quasielastic scatteringdata on deuterium, which has large error bars. Up to our current working accuracy, r_A is predicted only atleading order, i.e., the one-loop level. A more precise determination might need terms of O(p~5).

机译：我们在协助手平有效的过程中计算核心轴向形状因子直到领先的单环阶现场理论与δ（1232）共振作为明确的自由度。我们将轴向形状因子适合于最新格子QCD数据和销钉下的相关低能量常量。格子QCD数据，各种各样低于400 MeV的磁场，可以很好地描述〜0.6 GEV的动量转移。 δ（1232）循环对本协议有显着贡献。此外，我们提取基于轴向电荷和半径在低能量常数的拟合值上。结果是G_A = 1.237（74）和 = 0.263（38）FM〜2。如果考虑不确定性，所获得的耦合G_A与实验值一致。轴向半径低于，但与最近从Neutrino Quasielastic散射提取Deuterium上的数据，具有大的误差杆。符合我们目前的工作精度，仅限R_A领先订单，即单循环。更精确的确定可能需要o（p〜5）。

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《Physical Review D》 |2017年第12期|116022.1-116022.11|共11页
作者
De-Liang Yao; Luis Alvarez-Ruso; Manuel J. Vicente-Vacas;
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Departamento de Fisica Teorica and Instituto de Fisica Corpuscular (IFIC) Centro Mixto UVEG-CSIC E-46071 Valencia Spain;

Departamento de Fisica Teorica and Instituto de Fisica Corpuscular (IFIC) Centro Mixto UVEG-CSIC E-46071 Valencia Spain;

Departamento de Fisica Teorica and Instituto de Fisica Corpuscular (IFIC) Centro Mixto UVEG-CSIC E-46071 Valencia Spain;

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1. Extraction of nucleon axial charge and radius from lattice QCD results using baryon chiral perturbation theory [J] . De-Liang Yao, Luis Alvarez-Ruso, Manuel J. Vicente-Vacas Physical review, D . 2017,第11aPta2期

机译：使用Baryon手性扰动理论从晶格QCD结果提取核心轴向电荷和半径
2. The nucleon mass in N-f=2 lattice QCD: finite size effects from chiral perturbation theory [J] . Khan AA, Bakeyev T, Gockeler M, Nuclear physics, B . 2004,第3期

机译：N-f = 2晶格QCD中的核子质量：手性摄动理论的有限尺寸效应
3. Baryon masses and nucleon sigma terms in manifestly Lorentz-invariant baryon chiral perturbation theory [J] . Lehnhart BC, Gegelia J, Scherer S Journal of Physics, G. Nuclear and Particle Physics: An Institute of Physics Journal . 2005,第2期

机译：明显的Lorentz不变重子手性摄动理论中的重子质量和核子sigma术语
4. Nucleon Axial Charge from Quenched Lattice QCD with Domain Wall Fermions [C] . Shigemi Ohta Conference on the Intersections between Particle and Nuclear Physics . 2003

机译：核心轴向电荷从带畴壁码头的淬火晶格QCD轴向电荷
5. Applications of chiral perturbation theory to lattice QCD. [D] . Van de Water, Ruth S. 2005

机译：手性摄动理论在晶格QCD中的应用。
6. Baryon chiral perturbation theory extended beyond the low-energy region [O] . E. Epelbaum, J. Gegelia, Ulf-G. Meißner, -1

机译：重子手性摄动理论扩展到了低能区域之外
7. Extraction of nucleon axial charge and radius from lattice QCD results using baryon chiral perturbation theory [O] . Yao, De-Liang, Alvarez-Ruso, Luis, Vicente-Vacas, Manuel J. 2017

机译：从晶格QCD结果中提取核子轴向电荷和半径用重子手征微扰理论

Extraction of nucleon axial charge and radius from lattice QCD results using baryon chiral perturbation theory

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