Research on Nuclear Force from Lattice QCD

• Project/Area Number: 20340047
• Research Category: Grant-in-Aid for Scientific Research (B)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: Particle/Nuclear/Cosmic ray/Astro physics
• Research Institution: University of Tsukuba
• Principal Investigator: AOKI Sinya University of Tsukuba, 大学院・数理物質科学研究科, 教授 (30192454)
• Co-Investigator(Kenkyū-buntansha): ISHII Noriyoshi 筑波大学, 計算科学研究センター, 研究員 (40360490)
• Co-Investigator(Renkei-kenkyūsha): HATSUDA Tetsuo 東京大学, 理学系研究科, 教授 (20192700) ; NEMURA Hidekatsu 独立行政法人理化学研究所, 岩崎先端中間子研究室, 基礎科学特別研究員 (80391738)
• Project Period (FY): 2008 – 2010
• Project Status: Completed (Fiscal Year 2010)
• Budget Amount: ¥17,160,000 (Direct Cost: ¥13,200,000、Indirect Cost: ¥3,960,000); Fiscal Year 2010: ¥6,110,000 (Direct Cost: ¥4,700,000、Indirect Cost: ¥1,410,000); Fiscal Year 2009: ¥5,980,000 (Direct Cost: ¥4,600,000、Indirect Cost: ¥1,380,000); Fiscal Year 2008: ¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000)
• Keywords: (A)素粒子(理論) / 量子液体 / スピン液体 / ベリー位相 / トポロジカル秩序 / Z_2ベリー位相 / 対称性の破れ / ダイマー / エネルギーギャップ / 格子量子色力学 / 核力 / 数値シミュレーション / 波動関数 / テンソル力 / ハイペロン / 斥力 / 演算子積展開 / テンソルカ / 中心力ポテンシャル / エネルギー依存性

Research Abstract

Main results of this research project are as follows. (1) We have theoretically formulated a method to calculate potentials from wave functions. (2) We have proposed a method to extract the tensor force and have calculate the tensor potential in lattice QCD. (3) We have calculated nuclear potentials in full QCD simulations. (4) We have analytically investigated the origin of the repulsive core. (5) We have calculated hyperon-nucleon potentials in lattice QCD. (6) We have investigated dependences of baryon-baryon potentials on flavor representations in the flavor SU(3) symmetric limit of lattice QCD. (7) We have shown an existence of an H-dibaryon in the flavor SU(3) symmetric limit of lattice QCD.

Research Products

• [Journal Article] (HAL QCD Collaboration), Bound H-dibaryon in Flavor SU(3) Limit of Lattice QCD (2011)
  • Author(s): T.Inoue, N.Ishii, S.Aoki, Takumi Doi, T.Hatsuda, Y.Ikeda, K.Murano, H.Nemura, K.Sasaki
  • Journal Title: Phys. Rev. Lett. 106 Pages: 162002-162002
• [Journal Article] Operator product expansion and the short distance behavior of 3-flavor baryon potentials (2010)
  • Author(s): S.Aoki, J.Balog, P.Weisz
  • Journal Title: JHEP09 Pages: 83-83
  • NAID: 120007137861
• [Journal Article] (HAL QCD collaboration), Baryon-Baryon Interactions in the Flavor SU(3) Limit from Full QCD Simulations on the Lattice (2010)
  • Author(s): T.Inoue, N.Ishii, S.Aoki, T.Doi, T.Hatsuda, Y.Ikeda, K.Murano, H.Nemura, K.Sasaki
  • Journal Title: Prog. Theor. Phys. 124 Pages: 592-592
• [Journal Article] Application of the operator product expansion to the short distance behavior of nuclear potentials (2010)
  • Author(s): S.Aoki, J.Balog, P.Weisz
  • Journal Title: JHEP 05 Pages: 8-8
  • NAID: 120007138091
• [Journal Article] Theoretical Foundation of the Nuclear Force in QCD and its applications to Central and Tensor Forces in Quenched Lattice QCD Simulations (2010)
  • Author(s): S.Aoki, T.Hatsuda, N.Ishii
  • Journal Title: Prog. Theor. Phys. 123 Pages: 89-128
  • NAID: 110007537707
• [Journal Article] (for HAL QCD Collaboration), Baryon-Baryon interactions from lattice QCD (2010)
  • Author(s): S.Aoki
  • Journal Title: Chinese Physics C 34 No.9 Pages: 1236-1240
• [Journal Article] (for HAL QCD Collaboration), Baryon Interactions from Lattice QCD (2010)
  • Author(s): S.Aoki
  • Journal Title: AIP Conference Proceedings Vol.1235 Pages: 16-22
• [Journal Article] Application of the operator product expansion to the short distance.behavior of nuclear potentials (2010)
  • Author(s): S.Aoki, J.Balog, P.Weisz
  • Journal Title: JHEP Volume: 05 Pages: 8-8
  • Peer Reviewed
• [Journal Article] Baryon-Baryon Interactions in the Flavor SU(3) Limit from Full QCD Simulations on the Lattice (2010)
  • Author(s): T.Inoue, et al.
  • Journal Title: Prog.Theor.Phys. Volume: 124 Pages: 83-83
  • Peer Reviewed
• [Journal Article] Operator product expansion and the short distance behavior of 3-flavor baryon potentials (2010)
  • Author(s): S.Aoki, J.Balog, P.Weisz
  • Journal Title: JHEP Volume: 09 Pages: 83-83
  • NAID: 120007137861
  • Peer Reviewed
• [Journal Article] Theoretical Foundation of the Nuclear Force in QCD and its applicatios to Central amd Tensor Forces in Quenched Lattice QCD simulations (2010)
  • Author(s): S.Aoki, T.Hatsuda, N.Ishii
  • Journal Title: Prog.Theor.Phys. 123 Pages: 89-128
  • Peer Reviewed
• [Journal Article] Hyperon-nucleon force from lattice QCD (2009)
  • Author(s): H.Nemura, N.Ishii, S.Aoki, T.Hatsuda
  • Journal Title: Physics Letters B 673 Pages: 136-141
  • NAID: 120007138330
• [Journal Article] Bethe-Salpeter wave functions in integrable models (2009)
  • Author(s): S.Aoki, J.Balog, P.Weisz
  • Journal Title: Progress of Theoretical Physics 121 Pages: 1003-1034
  • NAID: 110007339395
• [Journal Article] Lattice QCD and Nuclear Physics (2009)
  • Author(s): S.Aoki
  • Journal Title: LES HOUCHES SUMMER SCHOOL : SESSION 93: MODERN PERSPECTIVES IN LATTICE QCD : QUANTUM FIELD THEORY AND HIGH PERFORMANCE COMPUTING
• [Journal Article] Energy dependence of nucleon-nucleon potentials in lattice QCD (2009)
  • Author(s): K.Murano, N.Ishii, S.Aoki, T.Hatsuda
  • Journal Title: PoS LATTICE2009 Pages: 126-126
• [Journal Article] From Quarks to Nuclei : Challenges of Lattice QCD (2009)
  • Author(s): S.Aoki
  • Journal Title: Nucl. Phys. B(Proc. Suppl.) 195 Pages: 281-287
• [Journal Article] Bethe-Salpeter wave function in integrable models (2009)
  • Author(s): S.Aoki, J.Balog, P.Weisz
  • Journal Title: Progress of Theoretical Physics 121 Pages: 1003-1034
  • NAID: 110007339395
  • Peer Reviewed
• [Journal Article] Hyperon-nucleon force from lattice QCD (2009)
  • Author(s): H.Nemura, et al.
  • Journal Title: Physics Letters B 673 Pages: 136-141
  • NAID: 120007138330
  • Peer Reviewed
• [Journal Article] Bethe-Salpeter wave function in integrable models (2009)
  • Author(s): S. Aoki, J. Balog, P. Weisz
  • Journal Title: Progress of Theoretical Physics (印刷中)
  • NAID: 110007339395
  • Peer Reviewed
• [Journal Article] Hyperon-nucleon force from lattice QCD (2009)
  • Author(s): H. Nemura, N. Ishii, S. Aoki, T. Hatsuda
  • Journal Title: Physics Letters B 673 Pages: 136-141
  • NAID: 120007138330
  • Peer Reviewed
• [Journal Article] The Nuclear Force from Monte Carlo Simulations of Lattice Quantum Chromodynamics (2008)
  • Author(s): S.Aoki, T.Hatsuda, N.Ishii
  • Journal Title: Comput. Sci. Disc. 1 Pages: 15009-15009
• [Journal Article] Lattice QCD simulation of hyperon-nucleon potential (2008)
  • Author(s): H.Nemura, N.Ishii, S.Aoki, T.Hatsuda
  • Journal Title: Mod. Phys. Lett. A23 Pages: 2285-2288
• [Journal Article] Lattice QCD calculation of nuclear forces (2008)
  • Author(s): N.Ishii, S.Aoki, T.Hatsuda
  • Journal Title: Mod. Phys. Lett. A23 Pages: 2281-2284
• [Journal Article] From lattice QCD to nuclear force (2008)
  • Author(s): T.Hatsuda, S.Aoki, N.Ishii, H.Nemura
  • Journal Title: Mod. Phys. Lett. A23 Pages: 2265-2272
• [Journal Article] for PACS-CS Collaboration, Nuclear forces from quenched and $N_f=2+1$ full QCD using the PACS-CS gauge configurations (2008)
  • Author(s): N.Ishii, S.Aoki, T.Hatsuda
  • Journal Title: PoS LAT2008 Pages: 155-155
• [Journal Article] for PACS-CS Collaboration, Lambda-nucleon force from lattice QCD (2008)
  • Author(s): H.Nemura, N.Ishii, S.Aoki, T.Hatsuda
  • Journal Title: PoS LAT2008 Pages: 156-156
• [Journal Article] Energy dependence of nucleon-nucleon potentials (2008)
  • Author(s): S.Aoki, J.Balog, T.Hatsuda, N.Ishii, K.Murano, H.Nemura, P.Weisz
  • Journal Title: PoS LAT2008 Pages: 152-152
• [Journal Article] The nuclear force from Monte Carlo simulations of lattice quantum chromodynamics (2008)
  • Author(s): S. Aoki, T. Hatsuda, N. Ishii
  • Journal Title: Computational Sciences and Discovery 1
  • Peer Reviewed
• [Journal Article] Nucleon-Nucleon Potential and its Non-locality in Lattice QCD, to appear in Prog.
  • Author(s): K.Murano, N.Ishii, S.Aoki, T.Hatsuda
  • Journal Title: Theoretical. Phys. 125
• [Journal Article] Non-locality of the nucleon-nucleon potential from Lattice QCD
  • Author(s): K.Murano, N.Ishii, S.Aoki, T.Hatsuda
  • Journal Title: PoS (Lattice2010) Pages: 150-150
• [Journal Article] Recent progress on nuclear potentials from lattice QCD
  • Author(s): S.Aoki
  • Journal Title: PoS (ICHEP2010) Pages: 362-362
• [Journal Article] repulsive core of the NN potential and the operator product expansion
  • Author(s): S.Aoki, J.Balog, P.Weisz
  • Journal Title: PoS(LAT2009) Pages: 132-132
• [Presentation] Hadron-Hadron Interactions from lattice QCD (2010)
  • Author(s): S.Aoki
  • Organizer: Elba XI Workshop Electron-Nucleus Scattering XI
  • Place of Presentation: Elba, Italy
• [Presentation] Recent progress on nuclear potentials from lattice QCD (2010)
  • Author(s): S.Aoki
  • Organizer: 35th International Conference on High Energy Phyisics (ICHEP)
  • Place of Presentation: Paris, France.
• [Presentation] Fundamental challenge of QCD, 47. (2009)
  • Author(s): S.Aoki
  • Organizer: Internationale Universitaetswochen fuer Theoretical Physik Schladming
  • Place of Presentation: Stria, Austria
• [Presentation] Baryon interavtion from Lattice QCD, The miniworkshop Light Quark Masses and Hadron Physics (From quarks to life) (2009)
  • Author(s): S.Aoki
  • Organizer: Universidad Complutense de Madrid
  • Place of Presentation: Spain
• [Presentation] Nuclear Forces from Lattice QCD, KITPC Program "Lattice Quantum Chromodynamics" (2009)
  • Author(s): S.Aoki
  • Organizer: KITPC@CAS
  • Place of Presentation: Beijing, China
• [Presentation] Repulsive core of the NN potential and operator product expansion, The XXVII International Symposium on Lattice Field Theory (2009)
  • Author(s): S.Aoki
  • Organizer: Peking University
  • Place of Presentation: Beijing, China
• [Presentation] Baryon-Baryon-Interaction from Lattice QCD (2009)
  • Author(s): S.Aoki
  • Organizer: The 5-th International Conference on Quark and Nuclear Physics
  • Place of Presentation: Beijing
• [Presentation] Baryon Interactions from Lattice QCD (2009)
  • Author(s): S.Aoki
  • Organizer: The 7-th Japan-China Joint Nuclear Physics Symposium
  • Place of Presentation: University of Tsukuba, Tsukuba, Japan
• [Presentation] The replusive core of the nucleon-nucleon potentials and the operator product expansion (2009)
  • Author(s): S.Aoki
  • Organizer: 2009 Taipei Workshop on Lattice QCD
  • Place of Presentation: National Taiwan University, Taipei, Taiwan
• [Presentation] A challenge in lattice QCD (2009)
  • Author(s): S.Aoki
  • Organizer: Conference on Computational Physics 2009
  • Place of Presentation: Kaohsiung, Taiwan
• [Presentation] Energy dependence of nucleon-nucleon potentials (2008)
  • Author(s): S.AOKI
  • Organizer: The XXVIth International Symposium on Lattice Field Theory
  • Place of Presentation: Williamsburg, Virginia, USA
• [Presentation] Energy dependence of nucleon-nucleon potentials (2008)
  • Author(s): S. Aoki
  • Organizer: The XXIth Intemational Symposium on Lattice Field Theory
  • Place of Presentation: アメリカ・ウィリアムズバーグ