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arXiv 2402.04817nucl-thhep-lat
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微扰应用次领头阶无π有效场论于有限体积中$A\le3$原子核

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

Tafat Weiss-Attia, Martin Schäfer, Betzalel Bazak

AI总结:

本研究将微扰次领头阶无π有效场论拟合至有限体积能量,外推至自由空间并预测少体可观测量,同时对比Lüscher方法,给出可靠预测所需的盒子尺寸建议。

摘要:

具有物理π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,而近期的替代方案则采用直接拟合有限体积数据的有效场论(EFTs)。在本研究中,我们将无π有效场论(pionless EFT)与微扰包含的次领头阶(NLO)拟合到由唯象$NN$相互作用生成的有限体积能量上。随后,该理论被用于将有限体积结果外推到自由空间,并预测新的少体可观测量。作为基准,我们还直接将Lüscher形式应用于有限体积数据。通过综合分析,我们探索了在有限体积内拟合的无π有效场论逐阶预测的特征,研究了所用不同外推技术的局限性,并推导出可靠预测所需的推荐盒子尺寸。

英文摘要:

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 Lüscher 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 Lüscher 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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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