Two-nucleon S -wave interactions at the SU(3) flavor-symmetric point with mud≈msphys : A first lattice QCD calculation with the stochastic Laplacian Heaviside method
Two-nucleon S -wave interactions at the SU(3) flavor-symmetric point with mud≈msphys : A first lattice QCD calculation with the stochastic Laplacian Heaviside method
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DOI：
10.1103/physrevc.103.014003
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发表时间：
2021-01
影响因子：
3.1
通讯作者：
B. Hörz;Dean Howarth;E. Rinaldi;Andrew D. Hanlon;Chia-Cheng Chang;C. Körber;E. Berkowitz;J. Bulava;M. Clark;Wayne Tai Lee;C. Morningstar;A. Nicholson;P. Vranas;A. Walker-Loud
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文献类型：
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作者：
B. Hörz;Dean Howarth;E. Rinaldi;Andrew D. Hanlon;Chia-Cheng Chang;C. Körber;E. Berkowitz;J. Bulava;M. Clark;Wayne Tai Lee;C. Morningstar;A. Nicholson;P. Vranas;A. Walker-Loud
本文报道了随机Laplacian Heaviside方法在计算多粒子相互作用中的首次应用。与Laplacian Heaviside方法一样，这种方法允许构造插值算子，这些插值算子可以用来构造一组正定的两核子关联函数，这与文献中几乎所有其他格点QCD对两核子的应用不同。它还允许变分分析，其中最佳的线性组合的插值算子形成的主要耦合系统的本征态。利用这种方法已经变得至关重要，以帮助解决文献中关于两个核子在任一个同位旋通道中是否形成比物理重的π质量的束缚态的差异，即使在SU（3）-味对称点，所有夸克质量都接近物理奇夸克质量，这种差异也持续存在。这是旨在解决这一差异的一系列论文中的第一篇。在目前的工作中，我们采用随机拉普拉斯海维赛德方法，没有六夸克算子的基础上，在晶格间距为$a\ensuremath{\approx}0.086$ fm，晶格体积为$L= 48 a\ensuremath {\approx}4.1$ fm和介子质量为${m}_{\ensuremath{\pi}}\ensuremath{\approx}714$ MeV。通过这种设置，观察到的双核子能级的光谱强烈反对在氘核或双中子通道中存在束缚态。
We report on the first application of the stochastic Laplacian Heaviside method for computing multiparticle interactions with lattice QCD to the two-nucleon system. Like the Laplacian Heaviside method, this method allows for the construction of interpolating operators which can be used to construct a set of positive-definite two-nucleon correlation functions, unlike nearly all other applications of lattice QCD to two nucleons in the literature. It also allows for a variational analysis in which optimal linear combinations of the interpolating operators are formed that couple predominantly to the eigenstates of the system. Utilizing such methods has become of paramount importance to help resolve the discrepancy in the literature on whether two nucleons in either isospin channel form a bound state at pion masses heavier than physical, with the discrepancy persisting even in the SU(3)-flavor-symmetric point with all quark masses near the physical strange quark mass. This is the first in a series of papers aimed at resolving this discrepancy. In the present work, we employ the stochastic Laplacian Heaviside method without a hexaquark operator in the basis at a lattice spacing of $a\ensuremath{\approx}0.086$ fm, lattice volume of $L=48a\ensuremath{\approx}4.1$ fm and pion mass ${m}_{\ensuremath{\pi}}\ensuremath{\approx}714$ MeV. With this setup, the observed spectrum of two-nucleon energy levels strongly disfavors the presence of a bound state in either the deuteron or dineutron channel.