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An Analysis of Hadron Resonances in QCD Sum Rules

Research Project

Project/Area Number 20K03959
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Review Section Basic Section 15010:Theoretical studies related to particle-, nuclear-, cosmic ray and astro-physics
Research InstitutionInstitute of Physical and Chemical Research (2023)
Japan Atomic Energy Agency (2020-2022)

Principal Investigator

Oka Makoto  国立研究開発法人理化学研究所, 仁科加速器科学研究センター, 客員主管研究員 (60144606)

Co-Investigator(Kenkyū-buntansha) GUBLER PHILIPP  国立研究開発法人日本原子力研究開発機構, 原子力科学研究部門 原子力科学研究所 先端基礎研究センター, 研究職 (00632390)
Project Period (FY) 2020-04-01 – 2024-03-31
Project Status Completed (Fiscal Year 2023)
Budget Amount *help
¥2,990,000 (Direct Cost: ¥2,300,000、Indirect Cost: ¥690,000)
Fiscal Year 2022: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2021: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2020: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Keywordsハドロン共鳴 / 量子色力学 / QCD和則 / ヘビークォーク / ヘビーハドロン / テトラクォーク / 複素スケーリング法 / 複素散乱振幅 / クォーク模型 / 強い相互作用 / ハドロン / 共鳴
Outline of Research at the Start

強い相互作用によって生じるハドロン共鳴状態を第一原理である量子色力学によって解析をする新しい手法を開発する。この手法では、量子力学の散乱振幅を複素数空間へと拡張し、その解析性を利用して、QCD和則関係式を導く。共鳴状態は複素数空間で発散を与える極に対応する。摂動論的に計算された散乱振幅を解析接続することにより、共鳴状態の極の情報、エネルギー、崩壊幅、崩壊の強さなどの情報を与えるQCD和則を確立するのが目標である。

Outline of Final Research Achievements

QCD sum rule is a non-perturbative method for analyzing low energy spectrum of hadrons, which is governed by the non-perturbative features, such as color confinement and chiral symmetry breaking. The sum rule utilizes the dispersion relation to explore the singularity (pole structure) of two-body correlation functions that corresponds to physical states.In this study, we extend the treatment to resonant poles on the second Riemann sheet of the complex energy variable. Concretely, we defined the dispersion relation that include a resonance pole and developed methods to compute the energy, width and residue of the resonance pole.

Academic Significance and Societal Importance of the Research Achievements

21世紀の加速器実験で次々に発見された4個以上のクォークを含むエキゾチックハドロンの共鳴状態のダイナミクスと構造を調べるためには、ハドロン散乱状態の複素平面上での極構造の解析が必須である。本研究では、QCDの2粒子相関関数の複素平面での構造を直接解析することを目標として、その解析構造、第二リーマン面での共鳴極を含む分散関係式の導出、演算子積展開を用いた和則の構築および解析手法の開発を行った。今後、この手法を用いて新しいハドロンの性質や分類が可能となると想定している。

Report

(5 results)
  • 2023 Annual Research Report   Final Research Report ( PDF )
  • 2022 Research-status Report
  • 2021 Research-status Report
  • 2020 Research-status Report
  • Research Products

    (24 results)

All 2023 2022 2021 2020 Other

All Int'l Joint Research (8 results) Journal Article (10 results) (of which Int'l Joint Research: 10 results,  Peer Reviewed: 10 results,  Open Access: 6 results) Presentation (6 results) (of which Int'l Joint Research: 2 results,  Invited: 4 results)

  • [Int'l Joint Research] Yonsei University(韓国)

    • Related Report
      2023 Annual Research Report
  • [Int'l Joint Research] Peking University(中国)

    • Related Report
      2023 Annual Research Report
  • [Int'l Joint Research] Peking University/Nanjing Univ.(中国)

    • Related Report
      2022 Research-status Report
  • [Int'l Joint Research] Peking University(中国)

    • Related Report
      2021 Research-status Report
  • [Int'l Joint Research] Valencia Univ(スペイン)

    • Related Report
      2021 Research-status Report
  • [Int'l Joint Research] Peking University(中国)

    • Related Report
      2020 Research-status Report
  • [Int'l Joint Research] Univ. Adelaide(オーストラリア)

    • Related Report
      2020 Research-status Report
  • [Int'l Joint Research] Ozyegin Univ.(トルコ)

    • Related Report
      2020 Research-status Report
  • [Journal Article] Quark confinement for multiquark systems: Application to fully charmed tetraquarks2023

    • Author(s)
      Wang Guang-Juan、Oka Makoto、Jido Daisuke
    • Journal Title

      Physical Review D

      Volume: 108 Issue: 7

    • DOI

      10.1103/physrevd.108.l071501

    • Related Report
      2023 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Doubly heavy tetraquarks including one-pion exchange potential2023

    • Author(s)
      Qi Meng, Emiko Hiyama, Makoto Oka, Atsushi Hosaka, Chang Xu
    • Journal Title

      Physics letter B

      Volume: 846 Pages: 138221-138221

    • DOI

      10.1016/j.physletb.2023.138221

    • Related Report
      2023 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Disentangling longitudinal and transverse modes of the φ meson through dilepton and kaon decays2023

    • Author(s)
      I.W. Park, H. Sako, K. Aoki, P. Gubler and S.H. Lee
    • Journal Title

      Physical Review D

      Volume: 107 Issue: 7 Pages: 074033-074033

    • DOI

      10.1103/physrevd.107.074033

    • Related Report
      2023 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] The investigations of the P-wave Bs states combining quark model and lattice QCD in the coupled channel framework2023

    • Author(s)
      Zhi Yang,Guang-Juan Wang,Jia-Jun Wu,Makoto Oka,Shi-Lin Zhu
    • Journal Title

      JHEP

      Volume: 01 Issue: 1

    • DOI

      10.1007/jhep01(2023)058

    • Related Report
      2022 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] The S-wave fully-charmed tetraquark resonant states2022

    • Author(s)
      Guang-Juan Wang, Qi Meng, Makoto Oka
    • Journal Title

      Physical Review D

      Volume: 106 Issue: 9

    • DOI

      10.1103/physrevd.106.096005

    • Related Report
      2022 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Mass spectrum and strong decays of tetraquark cbar sbar q q states2021

    • Author(s)
      Guang-Juan Wang,Lu Meng, Li-Ye Xiao, Makoto Oka,Shi-Lin Zhu
    • Journal Title

      European Physics Journal C

      Volume: 81 Issue: 2

    • DOI

      10.1140/epjc/s10052-021-08978-0

    • Related Report
      2021 Research-status Report 2020 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] The negative-parity spin-1/2 \Lambda baryon spectrum from lattice QCD and effective theory2021

    • Author(s)
      Pavao Rafael、Gubler Philipp、Fernandez-Soler Pedro、Nieves Juan、Oka Makoto、Takahashi Toru T.
    • Journal Title

      Physics Letters B

      Volume: 820 Pages: 136473-136473

    • DOI

      10.1016/j.physletb.2021.136473

    • Related Report
      2021 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Higher fully charmed tetraquarks: Radial excitations and P-wave states2021

    • Author(s)
      Wang Guang-Juan、Meng Lu、Oka Makoto、Zhu Shi-Lin
    • Journal Title

      Physical Review D

      Volume: 104 Issue: 3

    • DOI

      10.1103/physrevd.104.036016

    • Related Report
      2021 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Stable double-heavy tetraquarks: spectrum and structure2021

    • Author(s)
      Q. Meng, E. Hiyama, A. Hosaka, M. Oka, P. Gubler, K.U. Can, T.T. Takahashi, H.S. Zong
    • Journal Title

      Physics Letters B

      Volume: 814 Pages: 136095-136095

    • DOI

      10.1016/j.physletb.2021.136095

    • Related Report
      2020 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Charmed baryon spectrum from lattice QCD near the physical point2020

    • Author(s)
      H.Bahtiyar, K.U.Can, G.Erkol, P.Gubler, M.Oka, T.T.Takahashi
    • Journal Title

      Physical Review D

      Volume: 102 Issue: 5

    • DOI

      10.1103/physrevd.102.054513

    • Related Report
      2020 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Presentation] Spectroscopy of Heavy Baryons and Roles of Diquarks2023

    • Author(s)
      Makoto Oka
    • Organizer
      The 20th International Conference on Hadron Spectroscopy and Structure (HADRON 2023)
    • Related Report
      2023 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Quark Confinement and Spectrum of Fully-Charmed Tetraquark2023

    • Author(s)
      Makoto Oka
    • Organizer
      International Workshop on Exotic Hadrons
    • Related Report
      2023 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Spectra, structure and decays of singly heavy baryons from a chiral effective theory of diquarks2023

    • Author(s)
      Makoto Oka
    • Organizer
      Workshop on “Physics of heavy quark and exotic hadrons 2023
    • Related Report
      2022 Research-status Report
    • Invited
  • [Presentation] Fully-Charmed Tetraquark and Quark Confinement2022

    • Author(s)
      岡眞
    • Organizer
      ELPH Workshop ハドロン分光に迫る反応と構造の物理
    • Related Report
      2022 Research-status Report
    • Invited
  • [Presentation] マルチクォーク系のクォーク閉込めポテンシャル2022

    • Author(s)
      岡眞
    • Organizer
      日本物理学会
    • Related Report
      2022 Research-status Report
  • [Presentation] テトラクォーク系のクォーク閉込めポテンシャル2021

    • Author(s)
      岡 眞
    • Organizer
      日本物理学会
    • Related Report
      2021 Research-status Report

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Published: 2020-04-28   Modified: 2025-01-30  

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