Theoretical Study of Nuclear LargeAmplitude Collective Motions based on SelfConsistent Mechanism
Project/Area Number 
60540167

Research Category 
GrantinAid for General Scientific Research (C)

Allocation Type  Singleyear Grants 
Research Field 
核・宇宙線・素粒子

Research Institution  University of Tsukuba 
Principal Investigator 
MARUMORI Toshio Institute of Physics, University Tsukuba, 物理学系, 教授 (10037145)

CoInvestigator(Kenkyūbuntansha) 
HASHIMOTO Yukio Institute of Physics, University of Tsukuba, 物理学系, 助手 (50189510)
UNE Tsutomu Institute of Physics, University of Tsukuba, 物理学系, 講師 (60015766)
KISHIMOTO Teruo Institute of Physics, University of Tsukuba, 物理学系, 助教授 (30132989)
KOHMURA Toshitake Institute of Physics, University of Tsukuba, 物理学系, 助教授 (20015556)

Project Period (FY) 
1985 – 1987

Project Status 
Completed (Fiscal Year 1987)

Budget Amount *help 
¥1,900,000 (Direct Cost: ¥1,900,000)
Fiscal Year 1987: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 1986: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 1985: ¥900,000 (Direct Cost: ¥900,000)

Keywords  Largeamplitude collective motion / Selfconsistent collective coordinate method / Nuclear selfconsistent effective interaction / 集団運動の散逸 / 自己無撞着有効相互作用 / ボソン展開法 / 相対論的ハドロン多体論 / 原子核多体問題 / ハドロン多体論 / 自己無撞着集団運動理論 / 大振幅集団運動理論 / 集団運動の安定性 / 有効相互作用 / 多体力 / 非調和振動 / 高速回転運動 / 時間依存ハートリーフォック法 / 相体論的多体理論 
Research Abstract 
A nucleus, tightly bound under the influence of strong interactions acting between constituent nucleons, is known to exhibit highly nonlinear collective motions. The goal of this Project is to develop a theory for largeamplitude collective motions based on the selfconsistent mechanism inherent to the isolated manybody system; in other words to construct a new theory of nonlinear dynamics characteristic to an isolated finite quantal manybody system. The scope of our achievements will be briefly sketched. The development of a theory for a largeamplitude collective motion based on the self consistent field has been completed, and the optimal collective subspace has been determined in which generation and development of the largeamplitude nuclear collective motions can be described with applicability far beyond that in a linear approximation. Furthermore, the quantitative criteria for transition and dissipation of the collective mode is proposed in terms of the stability of the motion
… More
in the subspace. A theory for the selfconsistent effective interactions has been developed by imposing strict selfconsistency in the change of an average field when collective excitations take place. The higherorder effective interactions thus derived represent nonlinear particlecollective couplings characteristic to a nuclear system, and they have been confirmed in the numerical application to realisticnuclei in terms of the improved boson expansion and the cranking theory. A more fundamental approach to derive effective interactions which are selfconsistent to collective excitations has been set forth starting from the first principle. The origin of higherorder correlations and interactions has been found to be closely related to nonlinearity of collective motions. A picture of a nucleus becomes that of a more general isolated hadronic manybody system especially when intermediate energy probes are used to study the state of a nuclear system. The development of a theory of a selfconsistent relativistic hadronic manybody system has been initiated including pionic degrees of freedom, and the effects originated from pionic degrees of freedom are shown to be quite important. In summary, without metioning the accomplishments that are better than expected, many of the works set forth in this Project in fact are quite unique and original and will find more possible extensions and applications. Less

Report
(2 results)
Research Products
(17 results)