| Project/Area Number |
18540388
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
原子・分子・量子エレクトロニクス・プラズマ
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| Research Institution | Tohoku University |
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Principal Investigator |
KINO Yasushi Tohoku University, Graduate School of Science, Associate professor (00272005)
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| Project Period (FY) |
2006 – 2007
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| Project Status |
Completed (Fiscal Year 2007)
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| Budget Amount *help |
¥3,660,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥360,000)
Fiscal Year 2007: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2006: ¥2,100,000 (Direct Cost: ¥2,100,000)
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| Keywords | few-body system / antiproton / mass / エキゾチック原子分子 / 反陽子質量 |
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| Research Abstract |
Transition frequencies between energy levels of antiprotonic helium atoms have been high-precisely measured by laser spectroscopy. In this study, we accurately calculate the energy levels, in order to determine fundamental physical constants about an antiproton. We improve the Gaussian expansion method which had been developed by us, and apply the method to other exotic atom/molecule systems. We confirm the high-accuracy of the method and find extraordinary phenomena of the exotic systems.
In order to improve the accuracy of the calculation, we reconsider the radial parameter in the trial functions. We calculate highly excited states of hydrogen molecular resonant states. We compare the resonance energies and widths with exact values which are directly obtained by numerical calculation of the Schodinger equation. We confirm that the complex Gaussian basis functions are suited to reproduce the intranuclear motion having many nodes. We conclude that the accuracy of our calculation may be improved by one order of magnitude. We calculate the energy levels of antiprotonic helium atoms and transition frequencies which are expected to determine the physical constants (antiproton mass, magnetic moment) by comparing the forthcoming experimental data. We apply the Gaussian expansion method to other exotic systems with a stau particle (supersymmetry partner of a tau particle) which is a negatively charged heavy-particle as the antiproton and a positron which is an antiparticle of an electron. We high-precisely calculate bound and resonance states of those systems. We show that the stau particle plays an important role in nucleosynthesis in the early universe (three minutes after the big bang). We also show the unique binding mechanism between an atom and positron.
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