论文标题

零孔转移时核子的质量和异位矩阵元素

Mass and isovector matrix elements of the nucleon at zero-momentum transfer

论文作者

Ottnad, Konstantin, Djukanovic, Dalibor, Meyer, Harvey B., von Hippel, Georg, Wittig, Hartmut

论文摘要

我们介绍了我们对核子结构可观察物的分析的现状,包括等异源器电荷和Twist-2矩阵元件以及核子质量。结果是在一组Cls $ n_f = 2+1 $ aguge上计算的,用$m_π\ of0.130 \ Mathrm {Mev} \ ldots 350 \ mathrm {Mev} $,四个值的lattice间隔的四个值大量的物理量。与去年会议上提出的结果相比,我们在小夸克质量的一个非常精细的大盒子上添加了数据($ t \ times l^3 = 192 \ times 96^3 $,$m_π= 172 \ mathrm {mev} $,$ a = 0.05 \ mathrm {fm {fm} $)。已经在更粗的合奏上计算了其他(中间)源 - 链接分离,进一步增加了有效统计数据,并允许在治疗激发态污染的治疗时进行更细粒度的控制。核子基质元件中的激发态通过使用求和方法同时,两态拟合的ansatz驯服。

We present the current status of our analysis of nucleon structure observables including isovector charges and twist-2 matrix elements as well as the nucleon mass. Results are computed on a large set of CLS $N_f=2+1$ gauge ensembles with $M_π\approx0.130\mathrm{MeV}\ldots 350\mathrm{MeV}$, four values of the lattice spacing $a=0.05\mathrm{fm}\ldots 0.09\mathrm{fm}$ and covering a large range of physical volumes. Compared to the results presented at last year's conference we have added data on a very fine and large box at small light quark mass ($T\times L^3=192 \times 96^3$, $M_π=172\mathrm{MeV}$, $a=0.05\mathrm{fm}$). Additional (intermediate) source-sink separations have been computed on the coarser ensembles, further increasing effective statistics and allowing for a more fine-grained control in the treatment of the excited-state contamination. Excited states in the nucleon matrix elements are tamed by a simultaneous, two-state fit ansatz using the summation method.

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