Derivative expansion in the HAL QCD method for a separable potential

• 資料種別: 記事
• タイトル: Derivative expansion in the HAL QCD method for a separable potential
• 著者・編者: Sinya Aoki; Koichi Yazaki
• 出版事項: 日本 : Oxford University Press
• 出版年月日等: 2021-12-31
• 出版年（W3CDTF）: 2021-12-31
• タイトル（掲載誌）: Progress of Theoretical and Experimental Physics : PTEP
• 巻号年月日等（掲載誌）: 2022(3)
• 掲載巻: 2022(3)
• ISSN（掲載誌）: 2050-3911
• 本文の言語コード: eng
• DOI: 10.1093/ptep/ptab168; https://doi.org/10.1093/ptep/ptab168
• 国立国会図書館永続的識別子: info:ndljp/pid/12295576; https://dl.ndl.go.jp/pid/12295576
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• 収集根拠: オンライン資料収集制度
• 受理日（W3CDTF）: 2022-06-01T20:17:33+09:00
• 保存日（W3CDTF）: 2022-05-24
• 記録形式（IMT）: application/pdf
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• 遠隔複写可否（NDL）: 可
• 掲載誌（URI）: https://academic.oup.com/ptep/article/2022/3/033B04/6491037
• 掲載誌（国立国会図書館永続的識別子）: info:ndljp/pid/12295572; https://dl.ndl.go.jp/pid/12295572
• 連携機関・データベース: 国立国会図書館 : 国立国会図書館デジタルコレクション; https://dl.ndl.go.jp

• 要約等: We investigate how the derivative expansion in the HAL QCD method works to extract physical observables, using a separable potential in quantum mechanics, which is solvable but highly non-local in the coordinate system. We consider three cases for inputs to determine the HAL QCD potential in the derivative expansion: (1) energy eigenfunctions, (2) time-dependent wave functions as solutions to the time-dependent Schrödinger equation with some boundary conditions, and (3) a time-dependent wave function made by a linear combination of a finite number of eigenfunctions at low energy to mimic the finite volume effect. We have found that, for all three cases, the potentials provide reasonable scattering phase shifts even at the leading order of the derivative expansion, and they give more accurate results as the order of the expansion increases. By comparing the above results with those from the formal derivative expansion for the separable potential, we conclude that the derivative expansion is not a way to obtain the potential but a method to extract physical observables such as phase shifts and binding energies, and that the scattering phase shifts from the derivative expansion in the HAL QCD method converge to the exact ones much faster than those from the formal derivative expansion of the separable potential.
• DOI: 10.1093/ptep/ptab168; https://doi.org/10.1093/ptep/ptab168; 10.48550/arxiv.2109.07665; https://doi.org/10.48550/arxiv.2109.07665
• 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) 2021. 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, 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/2433/281680; http://id.ndl.go.jp/digimeta/12295576; https://dl.ndl.go.jp/pid/12295576; https://academic.oup.com/ptep/advance-article-pdf/doi/10.1093/ptep/ptab168/42196071/ptab168.pdf; https://academic.oup.com/ptep/article-pdf/2022/3/033B04/42782433/ptab168.pdf
• 参照: Hadron-hadron potentials coupled to quark degrees of freedom for exotic hadrons; https://cir.nii.ac.jp/crid/1360302864792953472
• 参照: Comment on “Relation between scattering amplitude and Bethe-Salpeter wave function in quantum field theory”; https://cir.nii.ac.jp/crid/1050003824752705280; Reply to “Comment on ‘Relation between scattering amplitude and Bethe-Salpeter wave function in quantum field theory”’; https://cir.nii.ac.jp/crid/1050282677532556288; <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>I</mml:mi><mml:mo>=</mml:mo><mml:mn>2</mml:mn></mml:math>pion scattering length from two-pion wave functions; https://cir.nii.ac.jp/crid/1050282677607501056; Hadron?hadron interactions from imaginary-time Nambu?Bethe?Salpeter wave function on the lattice; https://cir.nii.ac.jp/crid/1050282677630121856; Asymptotic behavior of Nambu–Bethe–Salpeter wave functions for scalar systems with a bound state; https://cir.nii.ac.jp/crid/1050285299729419904; Lattice QCD and Baryon-Baryon Interactions: HAL QCD Method; https://cir.nii.ac.jp/crid/1360009142851745024; Non-relativistic quantum scattering from non-local separable potentials: the eigenchannel approach; https://cir.nii.ac.jp/crid/1360016869613616768; Relation between scattering amplitude and Bethe-Salpeter wave function in quantum field theory; https://cir.nii.ac.jp/crid/1360283692806011008; Asymptotic behavior of Nambu-Bethe-Salpeter wave functions for multiparticles in quantum field theories; https://cir.nii.ac.jp/crid/1360285709990749312; Two-particle states on a torus and their relation to the scattering matrix; https://cir.nii.ac.jp/crid/1360292620980917888; K→ππ decays in a finite volume; https://cir.nii.ac.jp/crid/1361418520100664960; Zero energy scattering calculation in Euclidean space; https://cir.nii.ac.jp/crid/1361981468406774272; Nuclear Force from Lattice QCD; https://cir.nii.ac.jp/crid/1362825894116320128; Theoretical foundation of the nuclear force in QCD and its applications to central and tenser forces in quenched lattice QCD simulations; https://cir.nii.ac.jp/crid/1520573330885012480
• 連携機関・データベース: 国立情報学研究所 : CiNii Research; https://cir.nii.ac.jp/
• 提供元機関・データベース: 学術機関リポジトリデータベース; https://irdb.nii.ac.jp; 雑誌記事索引データベース; https://ndlsearch.ndl.go.jp; Crossref; https://www.crossref.org; 科学研究費助成事業データベース; https://kaken.nii.ac.jp/ja
• 書誌ID（NDLBibID）: 12295576; http://id.ndl.go.jp/bib/12295576