Ⅰ = 2ππ potential in the HAL QCD method with all-to-all propagators

• 資料種別: 記事
• タイトル: Ⅰ = 2ππ potential in the HAL QCD method with all-to-all propagators
• 著者・編者: Yutaro Akahoshi; Sinya Aoki; Tatsumi Aoyama
• 出版事項: 日本 : Oxford University Press
• 出版年月日等: 2019-08-11
• 出版年（W3CDTF）: 2019-08-11
• タイトル（掲載誌）: Progress of Theoretical and Experimental Physics : PTEP
• 巻号年月日等（掲載誌）: 2019(8)
• 掲載巻: 2019(8)
• ISSN（掲載誌）: 2050-3911
• 本文の言語コード: eng
• DOI: 10.1093/ptep/ptz078; https://doi.org/10.1093/ptep/ptz078
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• 受理日（W3CDTF）: 2021-04-08T08:04:22+09:00
• 保存日（W3CDTF）: 2021-04-02
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• 要約等: In this paper, we perform the first application of the hybrid method (exact low modes plus stochastically estimated high modes) for all-to-all propagators to the HAL QCD method. We calculate the HAL QCD potentials in the I=2ππ scattering in order to see how statistical fluctuations of the potential behave under the hybrid method. All of the calculations are performed with the 2+1 flavor gauge configurations on a 163×32 lattice at the lattice spacing a≈0.12 fm and mπ≈870 MeV. It is revealed that statistical errors for the potential are enhanced by stochastic noises introduced by the hybrid method, which, however, are shown to be reduced by increasing the level of dilutions, in particular, that of space dilutions. From systematic studies, we obtain a guiding principle for a choice of dilution types/levels and a number of eigenvectors to reduce noise contamination to the potential while keeping numerical costs reasonable. We also confirm that we can obtain the scattering phase shifts for the I=2ππ system by the hybrid method within a reasonable numerical cost; these phase shifts are consistent with the result obtained with the conventional method. The knowledge that we obtain in this study will become useful for the investigation of hadron resonances that require quark annihilation diagrams such as the ρ meson by the HAL QCD potential with the hybrid method.
• DOI: 10.1093/ptep/ptz078; https://doi.org/10.1093/ptep/ptz078; 10.48550/arxiv.1904.09549; https://doi.org/10.48550/arxiv.1904.09549
• オンライン閲覧公開範囲: インターネット公開
• 著作権情報: © The Author(s) 2019. Published by Oxford University Press on behalf of the Physical Society of Japan. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited.Funded by SCOAP3
• 関連情報（URI）: http://hdl.handle.net/2433/254054; http://id.ndl.go.jp/digimeta/11661812; https://dl.ndl.go.jp/pid/11661812; http://academic.oup.com/ptep/article-pdf/2019/8/083B02/29117841/ptz078.pdf
• 参照: Emergence of the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>ρ</mml:mi></mml:math> resonance from the HAL QCD potential in lattice QCD; https://cir.nii.ac.jp/crid/1050294562443477760; Interaction potentials for two-particle states with nonzero total momenta in lattice QCD; https://cir.nii.ac.jp/crid/1050583790041135232; Chemical potential (in)dependence of hadron scatterings in the hadronic phase of QCD-like theories and its applications; https://cir.nii.ac.jp/crid/1360021389819344256; Scale setting and hadronic properties in the light quark sector with ( <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mn>2</mml:mn><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:math> )-flavor Wilson fermions at the physical point; https://cir.nii.ac.jp/crid/1360869855112517504; The HAL QCD potential in the I = 1ππ system with the ρ meson bound state; https://cir.nii.ac.jp/crid/2050307417125182208; S-wave kaon-nucleon potentials with all-to-all propagators in the HAL QCD method; https://cir.nii.ac.jp/crid/2051996266985449088
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https://cir.nii.ac.jp/crid/1360574095276618880; Resonance scattering phase shifts on a non-rest-frame lattice; https://cir.nii.ac.jp/crid/1360574096555784064; Hadron interactions in lattice QCD; https://cir.nii.ac.jp/crid/1360848657385859712; Renormalization group analysis of lattice theories and improved lattice action: Two-dimensional non-linear O(N) sigma model; https://cir.nii.ac.jp/crid/1360855569862131072; Practical all-to-all propagators for lattice QCD; https://cir.nii.ac.jp/crid/1360855571106223232; Coupled<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>π</mml:mi><mml:mi>π</mml:mi></mml:mrow></mml:math>,<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>K</mml:mi><mml:mover accent="true"><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mo stretchy="false">¯</mml:mo></mml:mrow></mml:mover></mml:mrow></mml:math>scattering in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>P</mml:mi></mml:math>-wave and the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>ρ</mml:mi></mml:math>resonance from lattice QCD; https://cir.nii.ac.jp/crid/1361137045848902784; Observation of a Narrow Pentaquark State, <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>P</mml:mi></mml:mrow><mml:mrow><mml:mi>c</mml:mi></mml:mrow></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mn>4312</mml:mn><mml:msup><mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math> , and of the Two-Peak Structure of the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>P</mml:mi><mml:mi>c</mml:mi></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mn>4450</mml:mn><mml:msup><mml:mo stretchy="false">)</mml:mo><mml:mo>+</mml:mo></mml:msup></mml:math>; https://cir.nii.ac.jp/crid/1361699995348745600; Heavy-quark QCD exotica; https://cir.nii.ac.jp/crid/1361981469230391296; Observation of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>J</mml:mi><mml:mo stretchy="false">/</mml:mo><mml:mi>ψ</mml:mi><mml:mi>p</mml:mi></mml:mrow></mml:math>Resonances Consistent with Pentaquark States in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mi mathvariant="normal">Λ</mml:mi></mml:mrow><mml:mrow><mml:mi>b</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msubsup><mml:mo stretchy="false">→</mml:mo><mml:mi>J</mml:mi><mml:mo stretchy="false">/</mml:mo><mml:mi>ψ</mml:mi><mml:msup><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msup><mml:mi>p</mml:mi></mml:mrow></mml:math>Decays; 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