Derivative expansion in the HAL QCD method for a separable potential
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DOI[10.1093/ptep/ptab168]to the data of the same series
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- Material Type
- 記事
- Author/Editor
- Sinya AokiKoichi Yazaki
- Publication, Distribution, etc.
- Publication Date
- 2021-12-31
- Publication Date (W3CDTF)
- 2021-12-31
- Periodical title
- Progress of Theoretical and Experimental Physics : PTEP
- No. or year of volume/issue
- 2022(3)
- Volume
- 2022(3)
- ISSN (Periodical Title)
- 2050-3911
- Text Language Code
- eng
- DOI
- 10.1093/ptep/ptab168
- Persistent ID (NDL)
- info:ndljp/pid/12295576
- Collection
- Collection (Materials For Handicapped People:1)
- Collection (particular)
- 国立国会図書館デジタルコレクション > 電子書籍・電子雑誌 > その他
- Acquisition Basis
- オンライン資料収集制度
- Date Accepted (W3CDTF)
- 2022-06-01T20:17:33+09:00
- Date Captured (W3CDTF)
- 2022-05-24
- Format (IMT)
- application/pdf
- Access Restrictions
- 国立国会図書館内限定公開
- Service for the Digitized Contents Transmission Service
- 図書館・個人送信対象外
- Availability of remote photoduplication service
- 可
- Periodical Title (URI)
- Periodical Title (Persistent ID (NDL))
- info:ndljp/pid/12295572
- Data Provider (Database)
- 国立国会図書館 : 国立国会図書館デジタルコレクション
- Summary, etc.
- 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/ptab16810.48550/arxiv.2109.07665
- Access Restrictions
- インターネット公開
- Rights (production)
- © 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
- Related Material (URI)
- Is Referenced By
- Hadron-hadron potentials coupled to quark degrees of freedom for exotic hadrons
- References
- Comment on “Relation between scattering amplitude and Bethe-Salpeter wave function in quantum field theory”Reply to “Comment on ‘Relation between scattering amplitude and Bethe-Salpeter wave function in quantum field theory”’<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 functionsHadron?hadron interactions from imaginary-time Nambu?Bethe?Salpeter wave function on the latticeAsymptotic behavior of Nambu–Bethe–Salpeter wave functions for scalar systems with a bound stateLattice QCD and Baryon-Baryon Interactions: HAL QCD MethodNon-relativistic quantum scattering from non-local separable potentials: the eigenchannel approachRelation between scattering amplitude and Bethe-Salpeter wave function in quantum field theoryAsymptotic behavior of Nambu-Bethe-Salpeter wave functions for multiparticles in quantum field theoriesTwo-particle states on a torus and their relation to the scattering matrixK→ππ decays in a finite volumeZero energy scattering calculation in Euclidean spaceNuclear Force from Lattice QCDTheoretical foundation of the nuclear force in QCD and its applications to central and tenser forces in quenched lattice QCD simulations
- Data Provider (Database)
- 国立情報学研究所 : CiNii Research
- Original Data Provider (Database)
- 学術機関リポジトリデータベース雑誌記事索引データベースCrossref科学研究費助成事業データベース科学研究費助成事業データベースCrossref
- Bibliographic ID (NDL)
- 12295576