论文标题
具有有效野外理论的核子核子晶格模拟的新型正则化方案
A Novel Regularization Scheme for Nucleon-Nucleon Lattice Simulations with Effective Field Theory
论文作者
论文摘要
我们提出了一种新的正规化计划，以研究晶格有效田间理论中两核系统的结合状态。受到连续计算的启发，我们研究了作用于领先（LO）和近代领导顺序（NLO）相互作用的指数调节器，由局部接触项组成。通过将低能量系数（LEC）拟合到晶格模拟上的deuteron结合能和渐近归一化系数（ANC），我们将在$^3S_1 $通道中提取有效范围扩展（ERE）参数以订购$ P^2 $。我们探讨了调节器的不同权力对晶格间距提取的参数$ a = 1.97 $ fm的影响。此外，我们调查了正规化方案的实施如何改善晶格间距上的预测参数，范围为$ 1.4 \ le a \ le 2.6 $ fm。我们的数值分析表明，对于晶格间距大于$ 2 $ fm，可观察到的可观察到的物品非常接近实验数据。
We propose a new regularization scheme to study the bound state of two-nucleon systems in Lattice Effective Field Theory. Inspired by continuum EFT calculation, we study an exponential regulator acting on the leading-order (LO) and next-to-leading order (NLO) interactions, consisting of local contact terms. By fitting the low-energy coefficients (LECs) to deuteron binding energy and the asymptotic normalization coefficient (ANC) on a lattice simulation, we extract the effective range expansion (ERE) parameters in the $^3S_1$ channel to order $p^2$. We explore the impact of different powers of the regulator on the extracted ERE parameters for the lattice spacing $a=1.97$ fm. Moreover, we investigate how the implementation of the regularization scheme improves the predicted ERE parameters on the lattice spacing in the range of $1.4 \le a \le 2.6$ fm. Our numerical analysis indicates that for lattice spacing greater than $2$ fm, the predicted observables are very close to the experimental data.
