S-wave kaon–nucleon potentials with all-to-all propagators in the HAL QCD method

K. Murakami, Yutaro Akahoshi, S. Aoki
{"title":"S-wave kaon–nucleon potentials with all-to-all propagators in the HAL QCD method","authors":"K. Murakami, Yutaro Akahoshi, S. Aoki","doi":"10.1093/PTEP/PTAA118","DOIUrl":null,"url":null,"abstract":"In this paper, employing an all-to-all quark propagator technique, we investigate the kaon-nucleon interactions in lattice QCD. We calculate the S-wave kaon-nucleon potentials at the leading order in the derivative expansion in the time-dependent HAL QCD method, using (2+1)-flavor gauge configurations at the lattice spacing $a \\approx 0.09$ fm on $32^3 \\times 64$ lattices and the pion mass $m_{\\pi} \\approx 570$ MeV. We take the one-end trick for all-to-all propagators, which allows us to put the zero momentum hadron operators at both source and sink and to smear quark operators at the source. We find the stronger repulsive interaction in the $I=1$ channel than in the $I=0$. The phase shifts obtained by solving the Schrodinger equations with the potentials qualitatively reproduce the energy dependence of the experimental phase shifts, and have the similar behavior to the previous results from lattice QCD without all-to-all propagators. Our study demonstrates that the all-to-all quark propagator technique with the one-end trick is useful to study interactions for meson-baryon systems in the HAL QCD method, so that we will apply it to meson-baryon systems which contain quark-antiquark creation/annihilation processes in our future studies.","PeriodicalId":8440,"journal":{"name":"arXiv: High Energy Physics - Lattice","volume":"118 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2020-06-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv: High Energy Physics - Lattice","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1093/PTEP/PTAA118","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2

Abstract

In this paper, employing an all-to-all quark propagator technique, we investigate the kaon-nucleon interactions in lattice QCD. We calculate the S-wave kaon-nucleon potentials at the leading order in the derivative expansion in the time-dependent HAL QCD method, using (2+1)-flavor gauge configurations at the lattice spacing $a \approx 0.09$ fm on $32^3 \times 64$ lattices and the pion mass $m_{\pi} \approx 570$ MeV. We take the one-end trick for all-to-all propagators, which allows us to put the zero momentum hadron operators at both source and sink and to smear quark operators at the source. We find the stronger repulsive interaction in the $I=1$ channel than in the $I=0$. The phase shifts obtained by solving the Schrodinger equations with the potentials qualitatively reproduce the energy dependence of the experimental phase shifts, and have the similar behavior to the previous results from lattice QCD without all-to-all propagators. Our study demonstrates that the all-to-all quark propagator technique with the one-end trick is useful to study interactions for meson-baryon systems in the HAL QCD method, so that we will apply it to meson-baryon systems which contain quark-antiquark creation/annihilation processes in our future studies.
HAL QCD方法中具有全对全传播子的s波k -核子势
本文采用全对全夸克传播子技术,研究了晶格QCD中介子-核子的相互作用。在时间相关的HAL QCD方法中,我们使用(2+1)味规范配置,在$32^3 \times 64$晶格上的晶格间距$a \approx 0.09$ fm和介子质量$m_{\pi} \approx 570$ MeV处,计算了导阶导数展开中的s波k -核子势。我们对所有的传播子采用一端技巧,这允许我们在源和汇都放置零动量强子算子,并在源涂抹夸克算子。我们发现$I=1$通道中的排斥力比$I=0$通道中的排斥力强。通过求解薛定谔方程得到的相移定性地再现了实验相移的能量依赖关系,并且具有与先前无全对全传播子的晶格QCD结果相似的行为。我们的研究表明,具有一端技巧的全对全夸克传播子技术对于研究HAL QCD方法中介子-重子系统的相互作用是有用的,因此我们将在未来的研究中将其应用于包含夸克-反夸克产生/湮灭过程的介子-重子系统。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 求助全文
来源期刊
自引率
0.00%
发文量
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信