Nonlinear Dynamics of Nuclear Collective Motion

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概要

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• The nucleus is an isolated finite many-body quantum system, in which the self-consistent mean-field is realized. The system reveals the characteristic facets of the surprising coexistence of "macroscopic" and "microscopic" effects in association with various "phase transitions". Contrary to the infinite many-body systems at the macroscopic level in which the phase transition happens sharply, the nucleus as the finite quantum system requires for us to develop a microscopic theory of analyzing the phase transition in terms of the individual quantal states on the basis of the nonlinear dynamics. The characteristic difficulties in developing the microscopic theory rest on the following fact: Because of the finite self-bound system, in the nucleus, the single-particle modes of motion (more generally, non-collective degrees of freedom) have to adjust their features self-consistently, in accordartce with the time-evolution of the mean-field associated with the large-amplitude collective motion. Keeping the strong self-consistency between the single-particle motion and the collective motion, one has to develop the microscopic theory which is capable of explaining appearance, persistency, transfiguration and termination of the large-amplitude collective motion. We hope that such a challenge may provide us to explore "quantum mechanical theory of nonlinear dynamics", and give a clue to explain the thermal feature in isolated systems, as a result of the reversible process without any statistical hypothesis. In this paper, the efforts so far made by us are reviewed, towards the microscopic theory of the nonlinear dynamics of nuclear collective motion.

• 理論物理学刊行会の論文
• 2001-04-27

著者

• Yan Shi-wei

  Department Of Mathematical Sciences Ibaraki University

• Marumori Toshio

  Department Of Physics Science University Of Tokyo

• Marumori Toshio

  Department Of Physics Kyoto University

• Sakata Fumihiko

  Department Of Mathematical Sciences Ibaraki University

• Hashimoto Yukio

  Institute Of Physics University Of Tsukuba

• HASHIMOTO Yukuo

  Institute of Physics, University of Tsukuba

• Hashimoto Yukuo

  Institute Of Physics University Of Tsukuba

• YAN Shi-Wei

  Department of Mathematical Sciences, Ibaraki University

• HASHIMOTO Yukio

  Institute for Nuclear Study, University of Tokyo

関連論文

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• 実空間における RPA 方程式の解法(「有限量子多体系の励起構造と相関効果」-原子核・量子ドット・ボース凝縮・クラスターを中心として-,研究会報告)
• Solving the RPA Eigenvalue Equation in Real-Space(Nuclear Physics)
• Solving the RPA Eigenvalue Equation in Real-Space
• Breaking of Separability Condition for Dynamical Collective Subspace : Onset of Quantum Chaos in Large-Amplitude Collective Motion : Nuclear Phusics
• A Role of the Two-body Collision in the Nuclear Shape Evolution (原子核動力学における散逸と減衰)
• On the Roles of Effective Interactions in Nuclear Collective Motion
• Theory of Collective Excitations in Spherical Odd-Mass Nuclei. II : Structure of the Anomalous Coupling States with Spin I = (j-1)
• Theory of Collective Excitations in Spherical Odd-Mass Nuclei. I : Basic Ideas and Concept of Dressed Three-Quasi-Particle Modes
• On the "Anharmonic Effects" on the Collective Oscillations in Spherical Even Nuclei. I
• Projection Operator Method for Collective Tunneling Transitions
• A Possible Microscopic Description of Nuclear Collective Rotation in Band-Crossing Region:Occurrence Mechanism of s-Band
• On the Collective Mode of Internal Motion of the Nucleus to be coupled with the Irrotational Surface Motion
• On Applicability of the Random Phase Approximation to the Collective Excitation in Spherical Even Nuclei. II : Correction to the So-Called "Two-Phonon" States in Single Closed Shell Nuclei
• Bifurcation Structure of Eigenstates and Periodic Trajectories in TDHF Phase Space : Weak Nonlinearity Case in SU(3) Model : Nuclear Physics
• A Numerical Study on the Structure Change of Collective Motions
• New Algorithm for Hartree-Fock Variational Equation : Nuclear Physics
• Quantum Nonlinear Resonance : Nuclear Physics
• Microscopic Description of Nuclear Collective Rotation by Means of the Self-Consistent Collective Coordinate Method : Occurrence Mechanism of Collective Rotation : Nuclear Physics
• Extraction of Dynamical Collective Subspace for Large-Amplitude Collective Motion : Application to Simple Solvable Model : Nuclear Physics
• Optimum Collective Submanifold in Resonant Cases by the Self-Consistent Collective-Coordinate Method for Large-Amplitude Collective Motion
• Collective, Dissipative and Stochastic Motions in the TDHF Theory : Nuclear Physics
• Concept of Dynamical Collective Submanifold for Large-Amplitude Collective Motion in the TDHF Theory : Nuclear Physics
• Intrinsic Excitation Modes Compatible with Large-Amplitude Collective Motion in the TDHF Theory : Nuclear Physics
• Applicability of the Concept of "Optimal" Collective Submanifold Determined by the Self-Consistent Collective-Coordinate Method : Long-Time Behavior of Trajectories on "Optimal" Collective Submanifold : Nuclear Physics
• Geometry of the Self-Consistent Collective-Coordinate Method for the Large-Amplitude Collective Motion : Stability Condition of Maximally-Decoupled Collective Submanifold
• Maximally-Decoupled Collective Submanifold in a Simple Solvable Model
• An Attempt toward Quantum Theory of "Maximally-Decoupled"Collective Motion
• Quantum Theory of Collective Motion : Quantized Self-Consistent Collective-Coordinate Method for the Large-Amplitude Nuclear Collective Motion
• Four-Body Correlations in Light Nuclei : The Interaction between a Four-Body Mode and a Single-Hole Mode
• Investigation on Microscopic Dynamics of Dissipation in Nuclear Collective Motion (原子核動力学における散逸と減衰)
• Nonlinear Dynamics of Nuclear Collective Motion
• Correlation Analysis of Quantum Fluctuations and Repulsion Effects of Classical Dynamics in SU (3) model
• Foundation of Deformed Potential Model for Nuclear Rotation
• On the "Anharmonic Effects" on the Collective Oscillation in Spherical Even Nuclei. II
• A Microscopic Theory of the So-Called "Two-Phonon" States in Even-Even Nuclei. II : Formulation
• Chapter 2 Outline of the Mode-Mode Coupling Theory
• Chapter 1 Present Status of the Microscopic Study of Low-Lying Collective States in Spherical and Transitional Nuclei
• Chapter 3 A New Microscopic Method for Describing the Elementary Modes of Excitation in the Intrinsic Subspace : Dressed n-Quasiparticle Modes and Multi-Phonon Excitation
• Correlation Analysis of Quantum Fluctuations and Repulsion Effects of Classical Dynamics in SU(3) model(Nuclear Physics)
• Note on the Pairing Correlation in Nuclear Matter
• Dissipation Mechanism of the Large-Amplitude Collective Motion : Dynamical Evolution of a Collective Bundle of Trajectories in the TDHF Phase Space for a Simple Soluble Model : Nuclear Physics
• Quantum Theory of Dynamical Collective Subspace for Large-Amplitude Collective Motion : Nuclear Physics
• On the Collective Motion in Even-Even Spherical Nuclei
• Bifurcation Structure of Eigenstates and Periodic Trajectories in TDHF Phase Space : Weak Nonlinearity Case in SU(3) Model : Nuclear Physics

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