| Project/Area Number |
14340076
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| Research Category |
Grant-in-Aid for Scientific Research (B)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
素粒子・核・宇宙線
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| Research Institution | Osaka University |
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Principal Investigator |
TOKI Hiroshi Osaka University, RCNP, Professor, 核物理研究センター, 教授 (70163962)
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| Co-Investigator(Kenkyū-buntansha) |
IKEDA Kiyomi Niigata University, Emeritus Professor, 名誉教授 (40011548)
HOSAKA Atsushi Osaka University, RCNP, Associate Professor, 核物理研究センター, 助教授 (10259872)
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| Project Period (FY) |
2002 – 2004
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| Project Status |
Completed (Fiscal Year 2004)
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| Budget Amount *help |
¥12,100,000 (Direct Cost: ¥12,100,000)
Fiscal Year 2004: ¥3,400,000 (Direct Cost: ¥3,400,000)
Fiscal Year 2003: ¥3,400,000 (Direct Cost: ¥3,400,000)
Fiscal Year 2002: ¥5,300,000 (Direct Cost: ¥5,300,000)
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| Keywords | surface pion condensation / parity and charge projection / tensor force / spin-orbit force / Dirac sea effect / relativistic mean field model / pion / chiral symmetry / 相対論的平均場近似 / パイ中間子表面凝縮 / パリティー射影 / 荷電射影 / マジック数 / カイラルモデル / カイラル対称性の回復 / パリティーの射影 / 圧縮率 / 核子の / 湯川理論 / カイラル対称性の破れ / マジック数の出現 / Ωメソンの質量の起源 / 新しい原子核理論 |
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| Research Abstract |
We have made theoretical research on the role of pion for the structure of nucleus in the relativistic and non-relativistic framework. In the relativistic approach, we have also studied the role of the Dirac Sea on the nuclear structure. We list the outcome of the present research :
1.We showed the occurrence of pion condensation in the relativistic mean field framework numerically. As a result, we see the appearance of the spin-orbit effect due to the pion. In addition, the pion condensates around the nuclear surface.
2.We developed the parity and charge projection by preparing the intrinsic state with the total spin conserved. We then took variation by using the parity and charge projected wave function for He4. We showed the importance of the projection for the nuclear ground state. We found the importance of the pion (tensor interaction) for the structure of He4.
3.We calculated the phase shifts of the neutron He4 scattering in order to show the importance of the tensor force quantitatively. We showed the mixture of the p-state in the structure of He4 is essential for the quantitative reproduction of the phase shifts of s,p and d wave phase shifts. This is a decisive result to demonstrate the role of the tensor force for the creation of the spin-orbit splitting.
4.We formulated and calculated the parity and charge projection method in the framework of the relativistic mean field model. In order to extract the full strength of the pionic correlations, we showed the importance of the projection.
We were able to show that the pion is playing the important role for the nuclear structure. On top, we are convinced that the results of our present study indicate the unification of the hadron physics and nuclear physics through the important role of the chiral symmetry.
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