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RELATIVISTIC 3-QUARK PROBLEM AND STRUCTURE FUNCTION OF ThE NUCLEON

Research Project

Project/Area Number 13640298
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 素粒子・核・宇宙線
Research InstitutionTokai University

Principal Investigator

BENIZ W h  TOKAI UNIVERSITY, SCHOOL OF SCIENCE, ASSOCIATE PROFESSOR, 理学部, 助教授 (20168769)

Co-Investigator(Kenkyū-buntansha) YAZAKI Koichi  TOKYO WOMAN'S CHRISTIAN UNIVERSIIY, DEPARTMENT OF PHYSICS, PROFESSOR, 文理学部, 教授 (60012382)
Project Period (FY) 2001 – 2003
Project Status Completed (Fiscal Year 2003)
Budget Amount *help
¥2,100,000 (Direct Cost: ¥2,100,000)
Fiscal Year 2003: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 2002: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 2001: ¥700,000 (Direct Cost: ¥700,000)
KeywordsStructure Function / Nuclear Matter / Equation of State / Phase Transition / Nuclear Structure / 状態方程式 / 相転移 / 原子核構造 / ハドロン物理 / クォーク物理 / 核子の構造関数 / クォーク物質 / カラー超伝導 / 深非弾性散乱 / 3体問題 / バドロン物理 / クォーク模型 / ダイクォーク / ハドロンの内部構造
Research Abstract

Between April 2001 and March 2003, the following research results have been obtained :
1) Quark correlations in the nucleon and structure function of the nucleon (Ref.No.1) : Treating the nucleon as a relativistic 3-quark bound state, we studied the interactions (correlations) between the quarks By taking into account the scalar diquark and axial vector diquark channels, we constructed the wave function of the nucleon. Besides this, also the effects of the meson cloud were considered in order to calculate the static properties of the nucleon (magnetic moments, expectation value of the spin, nucleon-meson coupling constants, etc) and the structure function of the nucleon. From the study of these physical quantities, we could obtain information on the probabilities of the above mentioned diquark channels and the pionic channel.
2) Equations of state of nuclear matter and quark matter (Ref.No.2,3) : By making use of the mean field approximation for the many -body system, we constructed the … More nuclear matter equation of state which takes into account the internal structure of the single nucleon as described above. It has been well known that in effective theories based on the linear realization of chiral symmetry, like the Nambu-Jona-Lasinio model, one cannot reproduce the saturation properties of nuclear mattet However, by taking into account also the effects of confinement in a phenomenological way, in this research we succeeded to describe a stable many body state. Furthermore, in order to study the behavior of matter at high densities, we also constructed the quark matter equation of state, and investigated the conditions which can lead to a phase transition from nuclear matter to quark matter. We found that the phase transition leads to a color superconducting quark matter state, and we pointed out the strong effect of quark pairing on the transition density.
3) Nuclear structure functions and the EMC Effect (Ref.No.4,5) : By combining the above descriptions of the single nucleon and the nuclear matter equation of state, we investigated the structure function of a nucleon bound in the nuclear medium. By studying the medium effects on the structure function in detail, we found that the mean vector potential plays a very important role. Namely, because of the mean vector potential the quark momentum distribution in a bound nucleon becomes narrow, and for Bjorken x>0.3 the nucleon structure function becomes suppressed compared to the case of a free nucleon. In this way we could explain the experimentally observed EMC effect. We also confirmed the validity of the number and momentum sum rules in this framework.
4) Sum rules in nuclei (Ref.No.6) : Finally, we also studied the Gamow-Teller sum rule and the electric dipole (El) sum rule in nuclei. Less

Report

(4 results)
  • 2003 Annual Research Report   Final Research Report Summary
  • 2002 Annual Research Report
  • 2001 Annual Research Report
  • Research Products

    (30 results)

All Other

All Publications (30 results)

  • [Publications] H.Mineo: "Axial vector diquark correlations in the nucleon : Structure functions and static properties"Nuclear Physics A. 703. 785-820 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] W.Bentz: "The stability of nuclear matter in the Nambu-Jona-Lasinio model"Nuclear Physics A. 696. 138-172 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] W.Bentz: "Phase transition from nuclear matter to color superconducting quark matter"Nuclear Physics A. 720. 95-130 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] H.Mineo: "Quark distributions in nuclear matter and the EMC effect"Nuclear Physics A. 735. 482-514 (2004)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] W.Bentz: "Description of nucleons, nuclear matter and quark matter in an effective quark theory"Progress of Theoretical Physics. 151(Supplement). 176-180 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] W.Bentz: "The relation between the photonuclear E1 sum rule and the effective orbital g-factor"Nuclear Physics A. 736. 93-125 (2004)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] H.Mineo: "Axial vector diquark correlations in the nucleon : Structure functions and static properties."Nuclear Physics A. 703. 785-820 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] W.Bentz: "The stability of nuclear matter in the Nambu-Jona-Lasinio model."Nuclear Physics A. 696. 138-172 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] W.Bentz: "Phase transition from nuclear matter to color superconducting quark matter."Nuclear Physics A. 720. 95-130 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] H.Mineo: "Quark distributions in nuclear matter and the EMC effect."Nuclear Physics A. 735. 482-514 (2004)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] W.Bentz: "Description of nucleons, nuclear matter and quark matter in an effective quark theory"Progress of Theoretical Physics (Supplement). 151. 176-180 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] W.Bentz: "The relation between the photonuclear E1 sum rule and the effective orbital g-factor."Nuclear Physics A. 736. 93-125 (2004)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] H.Mineo: "Quark Distributions in Nuclear Matter and the EMC Effect"Nuclear Physics A. (in press).

    • Related Report
      2003 Annual Research Report
  • [Publications] W.Bentz: "Description of Nuclear and Quark Matter in an Effective Quark Theory"Progress of Theoretical Physics. 151. 176-180 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] H.Mineo: "Structure Function in Nuclear Matter in the NJL Model"Modern Physics Letters. A18. 384-390 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] W.Bentz: "Phase Transition from Nuclear Matter to Superconducting Quark Matter"Nuclear Physics. A720. 95-130 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] W.Bentz: "The Behavior of Matter at High Baryon Density"RIKEN Accelerator Report 37. (to be published).

    • Related Report
      2003 Annual Research Report
  • [Publications] W.Bentz: "Nucleons in Nuclear Matter and the Transition to Quark Matter"AIP Conference Proceedings. (to be published).

    • Related Report
      2003 Annual Research Report
  • [Publications] H.Mineo: "Axial Vector Diquark Correlations in the Nucleon : Structure Functions and Static Properities"Nuclear Physics A. 703. 785-820 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] W.Bentz: "Phase Transition from Nuclear Matter to Color Superconducting Quark Matter"Nuclear Physics A. 720. 95-130 (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] W.Bentz: "Equations of State for Nuclear Matter and Quark Matter in the NJL Model"Physics at the Japan Hadron Facility(JHF). 285-293 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] W.Bentz: "Description of Nucleons, Nuclear Matter and Quark Matter in an Effective Quark Theroy"Progress of Theoretical Physics. (to be published).

    • Related Report
      2002 Annual Research Report
  • [Publications] H.Mineo: "Structure Function in Nuclear Matter in the NJL Model"Modern Physics Letters A. (to be published).

    • Related Report
      2002 Annual Research Report
  • [Publications] H.Mineo: "Nucleon Structure Functions at Finite Density in the NJL Model"Physics at the Japan Hadron Facility (JHF). 232-240 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] W.Bentz: "The Stability of Nuclear Matter in the Nambu-Jona-Lasinio Model"Nuclear Physics A. 696. 138-172 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] H.Mineo: "Axial Vector Diquark Correlations in the Nucleon: Structure Functions and Static Properties"Nuclear Physics A. 703(to be published). (2002)

    • Related Report
      2001 Annual Research Report
  • [Publications] W.Bentz: "Quark-Diquark Structure of the Nucleon: Structure Functions, Static Properties and Nuclear Matter EOS"Lepton Scattering, Hadrons and QCD. 314-321 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] W.Bentz: "Properties of Nucleons and Nuclear Matter in the Quark-Diquark Model and Extension to Finite Density"International Journal of Modern Physics A. (to be published). (2002)

    • Related Report
      2001 Annual Research Report
  • [Publications] H.Mineo: "Structure Functions of the Nucleon in the Quark-Diquark Model and Extension to Finite Density"International Journal of Modern Physics A. (to be published). (2002)

    • Related Report
      2001 Annual Research Report
  • [Publications] W.Bentz: "Matter Stability in Chiral Field Theories and Density Dependence of the Sigma Meson Mass"IPN Lyon Report. (to be published). (2002)

    • Related Report
      2001 Annual Research Report

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Published: 2001-04-01   Modified: 2016-04-21  

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