1990 Fiscal Year Final Research Report Summary
Theoretical Study of Three-and Four-Nucleon Systems
| Project/Area Number |
01540227
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| Research Category |
Grant-in-Aid for General Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Research Field |
核・宇宙線・素粒子
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| Research Institution | Tohoku University |
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Principal Investigator |
SASAKAWA Tatuya Tohoku University, Faculty of Science, Professor, 理学部, 教授 (60004264)
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| Co-Investigator(Kenkyū-buntansha) |
ISHIKAWA Souechi Tohoku University, Faculty of Science, Assistant, 理学部, 助手 (50184479)
SAWADA Tatsuro Nara Women's University, Faculty of Science, Professor, 理学部, 教授 (30029566)
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| Project Period (FY) |
1989 – 1990
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| Keywords | Three-body force / piNN-, rhoNN cut-off mass / Mass difference of ^3H and ^3He / Charge symmetry breaking / Gamov-Teller matrix element / y-scaling / Radiative capture of polarized deuteron / Faddeev equation |
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| Research Abstract |
We made a code by which a Faddeev equation with three-body force, Coulomb force, charge asymmetry and charge dependent forces is very quickly solved. Utilizing this code we obtained the following results.
1. Taking account of a rho- and pi-meson exchange three-body force effect, we obtain the triton binding energy of 8.44MeV, which is very close to the experimental value of 8.48MeV.
2. We obtained ^3H-^3He mass difference of 760<plus-minus>14keV, which is very close to the experimental value of 7.64keV.
3. We obtained the Gamov-Teller matrix element of ROO<3>(0.962<plus-minus>0.002), which agrees with the experimental value.
4. Through these calculations we conclude LAMBDA_<piNN> = 0.8GeV and LAMBDA_<rhoNN> = 1.3-1.5GeV.
5. We showed that the rho-, pi-exchange three nucleon potential can reproduce the y-scaling.
6. We showed that the analyzing power of the radiative capture of the polarized deuteron can be reproduced only by taking account of a three-body force.
7. We derived the Faddeev equation on the basis of a new Mphiller matrix theory.
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