标题： 有限体积下次领头阶无π有效场论的微扰应用$A\le3$核 显示英文标题

标题： Perturbative application of next-to-leading order pionless EFT for $A\le3$ nuclei in a finite volume

摘要： 具有物理介子质量的格点量子色动力学（LQCD）计算将通过基于强相互作用基本理论的预测彻底改变核物理。为了弥合有限体积LQCD结果与自由空间物理可观测量之间的差距，迄今为止已采用两种主要的外推方法。传统方法依赖于Lüscher公式及其扩展，而最近的替代方法则直接利用有效场论（EFT）拟合有限体积数据。本研究中，我们使用无πEFT，并以微扰方式包含次领头阶项来拟合由经验性$NN$相互作用生成的有限体积能量。然后，该理论被用于将有限体积结果外推到自由空间以及预测新的少体可观测量。作为基准，我们还直接将Lüscher形式主义应用于有限体积数据。通过全面分析，我们探讨了在有限体积内拟合的无πEFT逐阶预测的特点，调查了不同外推技术的局限性，并得出了可靠的预测所需的推荐盒子大小。 显示英文摘要

摘要： Lattice quantum chromodynamics (LQCD) calculations with physical pion mass would revolutionize nuclear physics by enabling predictions based on the fundamental theory of the strong force. To bridge the gap between finite-volume LQCD results and free-space physical observables, two primary extrapolation methods have been employed so far. The traditional approach relies on the L\"{u}scher formula and its extensions, while a recent alternative employs effective field theories (EFTs) fitted directly to the finite volume data. In this study, we fit pionless EFT with perturbative inclusion of the next-to-leading order to finite-volume energies generated from a phenomenological $NN$ interaction. The theory is then used to extrapolate the finite-volume results into free space as well as to predict new few-body observables. As a benchmark, we also apply the L\"{u}scher formalism directly to the finite-volume data. Through a comprehensive analysis, we explore the characteristics of order-by-order predictions of the pionless EFT fitted within a finite volume, investigate the limitations of the different extrapolation techniques used, and derive recommended box sizes required for reliable predictions.