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1997 Fiscal Year Final Research Report Summary

Exact Solwtion of Few-Body Systems and Its applications

Research Project

Project/Area Number 07304066
Research Category

Grant-in-Aid for Scientific Research (A)

Allocation TypeSingle-year Grants
Section一般
Research Field 素粒子・核・宇宙線
Research InstitutionKYUSHU UNIVERSITY

Principal Investigator

KAMIMURA Masayasu  Kyushu Univ.Dept.of phys., Associate Professor, 理学部, 助教授 (10037210)

Co-Investigator(Kenkyū-buntansha) FUJIWARA Yoshikazu  Kyoto Univ.Dept.of phys., Research Associate, 理学部, 助手 (70199397)
KAJINO Toshitaka  National astronomy ofservatory, Theory Devision, Associate Professor, 助教授 (20169444)
ORYUU Sinsyou  Tokyo Science Univ.Dept.of Phys., Professor, 理工学部, 教授 (60089365)
OKABE Sigeto  Hokkaido Univ.Information Center, Associate Professor, 情報処理教育センター, 助教授 (70169134)
SUZUKI Yasuyuki  Niigata Univ.Dept.of phys., Professor, 理学部, 教授 (70018670)
Project Period (FY) 1995 – 1997
KeywordsFew-Body problems / Gaussian-basis coupled-channel variational method / stochastic variational method / Faddeev-Yakubovsky method / continuum-discretized coupled-channel method / three- and four-nucleon systems / light hypernuclei / antiprotonic helium atom
Research Abstract

We have developed a lot of high-precision calculational methods for few-body systems in physics. the methods include the gaussian-basis coupled-rearrangement-channel variational method, the stochastic variational method, Faddeev-Yakubovsky method, the coupled-discretized continuum channel method, and so on The methods have been applied to various interesting and important problems. some of the results are as following :
(1) We showed usefulness of the deformed Faddeev equation with the auxial Coulomb potential in the calculation of the three-nucleon scattering states below the three-body breakup threshold.
(2) We calculated the quasi-stable states of the antiprotonic helium atoms with the use of Gaussian basis coupled channel variational method and explained very successfully the laser experimental data with the accuracy of 6 significant figures.
(3) We developed the four-body calculational method and applied it to the structure study of light hypernuclei with A=4,7 and 13. We made clear the relation between the energy-level structure and the spin-dependent YN forces.
(4) By solving exactly the three-nucleon intermediate states, we made clear the mechanism of non-mesonic decay of the hypertritons.
(5) We predicted a new level of positronium molecule with L=1 at Ex=4.9 eV which dose not decay to two positroniums but decays to the ground atate by emitting E1 photon. If the E1 transition is ovserved, it will be an evidence of the molecule.
(6) We applied the Faddeev-Yakubovsky method to the four-body reaction 2H (d, p) 3H and 2H (d, n) 3He and obatined a good results with the paris potential.

  • Research Products

    (76 results)

All Other

All Publications (76 results)

  • [Publications] E.Hiyama: "Tree-body structure of ^6He=^4He+n+n using realistic n-n potentials" Nucl.Phys.A577. 35c-39c (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] J.Golak: "Inclusive electron scattering on ^3H and ^3He with full inclusion of final state interactions" Phys.Rev.C52. 1216-1231 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] H.Sagawa: "Isospin mixing and sum rule of super-allowed fermi β decay" Phys.Lett.B353. 7-12 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] H.Morita: "Structure function of ^4He and the Nucleon-Nucleon correlation" AIP Conference Proceedings. 334. 753-756 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Eizo Uzu: "Analysis of ^2H(d,P)^3H reaction by the four-body Faddeev-Yakubovsky equations" AIP Conference Proceedings. 334. 447-450 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Y.Fujiwara: "Reaction cross sections in light nuclear systems with the multiconfiguration resonating-group method" Prog.Theor.Phys.93. 711-726 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] H.Kameyama: "Analyzing Power Formulae for Nuclear Reactions in the Low Energy Limit and Application to the ^2H(d,p)^3H,^3He(d,r)^6Li,and ^<17>Li(p,r)^8Be Reactions" Nucl.Phys.A602. 1-20 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Kajino: "Inhomoganeons big-bang model,revived,and evolution of the light elemants in cosmic rays" Nucl.Phys.A588. 339c-344c (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] K.Miyagawa: "Hypertriton calculations with meson-theoretical hyperon-nucleon interactions" Nucl.Phys.A585. 169c-172c (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Varga, K: "Microsopic four-cluster description of the mirror nuclei ^9Li and ^9C" Phys.Rev.C52. 3013-3025 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Y.Sakuragi: "Coulomb dissociation of 6He and its effect on the elastic scattering" Nucl,Phys.A588. 65c-70c (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] I.Kumagai-Fuse: "Evidence for a central repulsion potential from pionic decay of s-shell Λ-hypernuclei" Phys.Lett.B345. 386-392 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] I.Kumagai-Fuse: "Pauli effects on pionic decay of light Λ-hypernuclei" Nucl.Phys.A585. 365-366 (1995)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Y.Kino: "Asymptotic form of three-body(dtμ)^+ and(ddμ)^+ wave functions" Hyperfine Interactions. 101. 325-328 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] S.Ishikawa: "Polarized ^3He and neutron form factors" Nucl.Inst.and Meth.A402. 383-385 (1998)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] H.sagawa: "Effect of Isospin Mixing on Super-allowed Fermi β Decay" Phys.Rev.C53. 2163-2170 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] H.Morita: "Nuclear Correlation Effects in the Deep Inelastic Structure Function of ^4He" Australian Journal of Phys.50. 53-63 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] E.Uzu: "Analyses of cross sections and analyzing powers in low-energy ^2H(d,n)^3He reaction basda on the invariant-amplitude and faddeev-yakubovsky methos" Few-Body Systems. 22. 65-75 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Y.Fujiwara: "Effective Meson-Exchange Potentials in the SU_6 Quark Model for NN and YN Interactions" Phys.Rev.C54. 2180-2200 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Yamada: "Production of Double-Λ and Twin-Λ Hypernuclei in Θ-Atomic Capture into ^<12>C" Few-Body Systems Supplement. 9. 218-284 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] S.Wanajo: "Explosive nucleosynthesis in O Ne Mg novae" Nucl.Phys.A616. 91c-96c (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] K.Miyagawa: "Faddeev equations for the ΘNN and ΛΛ N system" Nucl.Phys.A614. 535-551 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] K.Varga: "Stochastic Variational Method with a Correlated Gaussian Basis" Phys.Rev.A53. 1907-1910 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Y.Sakuragi: "Nuclear Breakup Reactions and Nuclear Cluster Structures" Proc.of the 14th RCNP OSAKA Int.Symp.981-2-2750-7. 61-74 (1996)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] E.Hiyama: "Three-and Four-Body Models of Hypernuclei Using the G-Matrix ΛN Interactions" Prog.Theor.Phys.97. 881-899 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] S.Ishikawa: "Inclusive Scattering of Polarized Electrons on Polarized ^3He:Effects of Final State Interaction and the Magnetic Form Factor of the Neutron" Phys.Rev.C57. 39-49 (1998)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] H.Sagawa: "Giant Monopole Resonances in Nuclei Near stable and Drip Lines" Phys.Rev.C56. 3121-3133 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] H.Morita: "Nuclear Correlation Effects in the Deep Inelastic Structure Function of ^4He" Aust.J.Phys.50. 53-60 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] E.Uzu: "Analyses of Cross Sections and Analyzing Powers in Low-Energy ^2H(d,n)^3He Reaction Based on the Invariant-Amplitude and Faddeev-Yakubovsky Methods" Few-Body Systems. 22. 65-75 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] S.Oryu: "^3He(d,n)^4He Reaction Calculation with Theree-Body Faddeev equations" Nucl.Inst.and Meth.A402. 402-407 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Y.Fujiwara: "Extended Time-Reversal Operator and the Symmetries of the Hyperon-Nucleon Interaction" Prog.Theor.Phys.97. 587-616 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.Orito: "Geometrical effects of baryon density inhomogeneties on primordial nucleosynthesis" Astrophy.J. 488. 515-523 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Yamada: "Double-Λ,Twin-Λ and single-Λ Hypernuclear Productions for Stopped Θ^- Particles in ^<12>C" Phys.Rev.C56. 3216-3230 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] K.Varga: "Second Bound State ofthe Positronium Molecule and Biexcitons" Phys.Rev.Lett.80(印刷中). (1998)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] J.Golak: "Nonmesonic weak decay of the Hypertriton" Phys.Rev.C55. 2196-2213 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Sugihara: "Nonperturbative Renormalization Group in a Light-front Three-dimensional Real Scalar Model" Phys.Rev.D55. 2218-2226 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Y.Sakuragi: "Breakup effect on the 6Li elastic scattering from 28Si at E/A=35 and 53 MeV" Prog.Theor.Phys.98. 521-525 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] D.O'Kelly: "Breakup of 30Mev/u-^<16>O in Nuclear and Coulomb Fields of 120Sn and 208Pb Nuclei" Phys.Lett.B393. 301-306 (1997)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] E.Hiyama: "Tree-body structure of ^5He=^4He+n+n using realistic n-n potentials" Nucl.Phys.A577. 35c-39c (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] J.Golak: "Inclusive electron scattering on ^3H and ^3He with full inclusion of final state interactions" Phys.Rev.C52. 1216-1231 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H.Sagawa: "Isospin mixing and sum rule of super-allowed fermi beta decay" Phys.Lett.B353. 7-12 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H.Morita: "Structure function of ^4He and the Nucleon-Nucleon correlation" AIP Conference Proceedings. 334. 753-756 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Eizo Uzu: "Analysis of ^2H (d^^*, P) ^3H reaction by the four-body Faddeev-Yakubovsky equations" AIP Conference Proceedings. 334. 447-450 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Y.Fujiwara: "Reaction cross sections in light nuclear systems with the multiconfiguration resonating-group method" Prog.Theor.Phys.93. 711-726 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H.kmeyama: "Analyzing power Formulae for Nuclear Reactions in the Low Energy Limit and Application to the ^2H (d^^*, p) ^3H,^3He(d^^*, gamma)^5Li, and ^7Li (p^^*, gamma) ^8Be Reactions" Nucl.Phys.A602. 1-20 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T.Kajino: "Inhomoganeons big-bang model, revived, and evolution of the light elements in cosmic rays" Nucl.Phys.A588. 339c-344c (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] K.Miyagawa: "Hypertriton calculations with meson-theoretical hyperon-nucleon interactions" Nucl.Phys.A585. 169c-172c (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Varga, K: "Microscopic four-cluster description of the mirror nuclei ^9Li and ^9C" Phys.Rev.C52. 3013-3025 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Y.Sakuragi: "Coulomb dissociation of ^6He and its effect on the elastic scattering" Nucl.Phys.A588. 65C-70C (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] I.Kumagai-Fuse: "Evidence for a central repulsion potential from pionic decay of s-shell LAMBDA-hypernuclei" Phys.Lett.B345. 386-392 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] I.Kumagai-Fuse: "Paui effects on pionic decay of light LAMBDA-hypernuclei" Nucl.Phys.A585. 365-366 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Y.Kino: "Asymptotic form of three-body (dtmu)^+ and (ddmu)^+ wave functions" Hyperfine Interactions. 101. 325-328 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] S.Ishikawa: "Polarized ^3He and neutron form factors" Nucl.Inst.and Meth.A402. 383-385 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H.Sagawa: "Effect of Isospin Mixing on super-allowed fermi beta Decay" Phys.Rev.C53. 2163-2170 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H.Morita: "Nuclear Correlation Effects in the Deep inelastic Structure Function of ^4He" Australian Journal of Phys.50. 53-63 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] E.Uzu: "Analyzes of cross sections and analyzing powers in low-nergy ^2H (d^^*, n) ^3He reaction based on the invariant-amplitude and fadeev-yakubovsky methods" Few-Body Systems. 22. 65-75 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Y.Fujiwara: "Effective Meson-Exchange Potentials in the SU_6 Quark Model for NN and YN Interactions" Phys.Rev.C54. 2180-2200 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T.Yamada: "Production of Double-LAMBDA and Twin-LAMBDA Hypernuclei in*-Atomic Capture into ^<12>C" Few-Body Systems Supplement. 9. 281-284 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] S.Wanajo: "Explosive nucleosynthesis in O Ne Mg novae" Nucl.Phys.A616. 91c-96c (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] K.Miyagwa: "Faddeev equations for the XINN and LAMBDALAMBDAN system" Nucl.Phys.A614. 535-551 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] K.Varga: "Stochastic Variational Method with a Correlated Gaussian Basis" Phys.Rev.A53. 1907-1910 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Y.Sakuragi: "Nuclear Breakup Reactions and Nuclear Cluster Structures" Proc.of the 14th RCNP Osaka Int.Sym. 981-2-2750-7. 61-74 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] E.Hiyama: "Three-and Four-Body Models of Hypernuclei Using the G-matrix LAMBDAN Interactions" Prog.Theor.Phys.97. 881-899 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] S.Ishikawa: "Inclusive Scattering of Polarized Electrons on Polarized ^3He : Effects of Final State Interaction and the Magnetic Form Factor of the Neutron" Phys.Rev.C56. 39-49 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H.Sagawa: "Ginat Monopole Resonances in Nuclei stabale and Drip Lines" Phys.Rev.C56. 3121-3133 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H.Morita: "Nuclear Correlation Effects in the Deep Inelastic Structure Function of ^4He" Aust.J.Phys.50. 53-60 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] E.Uzu: "Analyzes of Cross Sections and Analyzing Powers in Low-Energy ^2H (d, n) ^3He Reaction Based on the Invariant-Amplitude and Faddeev-Yakubovsky Methods" Few-Body Systems. 22. 65-75 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] S.Oryu: "^3He (d, n) ^4He Reaction Calculation with Theree-Body Faddeev equations" Nucl.Inst.and Meth.A402. 402-407 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Y.Fujiwara: "Extended Time-Reversal Operator and the Symmetries of the Hyperon-Nucleon Interaction" Prog.Theor Phys.97. 587-616 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M.Orito: "Geometrical effects of baryon density inhomogeneities on primordial nucleosynthesis" Astrophys.J.488. 515-523 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T.Yamada: "Double-LAMBDA, Twin-LAMBDA and single- LAMBDA Hypernuclear Productions for Stopped XI^- Particles in ^<12>C" Phys.Rev.C56. 3216-3230 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] K.Varga: "second Bound State of the Positronium Molecule and Biexcitons" Phys.Rev.let.80 (in press). (1998)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] J.Golak: "Nonmesonic weak decay of the Hypertriton" Phys.Rev.C55. 2196-2213 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T.Sugihara: "Nonperturbative Renormalization Group in a Light-front Three-dimensional Real Scalar model" Phys.Rev.D55. 2218-2226 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Y.Sakuragi: "Breakup effect on the 6Li elastic scattering from 28Si at E/A=35 and 53 Mev" Prog.Theor.Phys.98. 521-525 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] D.O' Kelly: "Breakupo of 30Mev/u^<-16> O in Nuclear and Coulomb Feilds of 120Sn and 208Pb Nuclei" Phys.lett.B393. 301-306 (1997)

    • Description
      「研究成果報告書概要(欧文)」より

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Published: 1999-03-16  

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