Extraction of Dynamical Collective Subspace for Large-Amplitude Collective Motion : Application to Simple Solvable Model : Nuclear Physics

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概要

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• It is the purpose of the present paper to illustrate the quantum theory of dynamical collective subspace, which has been proposed in a previous paper to describe the large-amplitude collective motion, by using a simple four-level model with the pairing interactions. The quantum theory provides us a prescription to dynamically specify a set of "global" collective operators as well as the "optimum" dynamical collective subspace spanned by them. This prescription is applied to the simple model, and the results thus obtained are compared with exact numerical solutions. It is shown that the results by our theory are in excellent agreement with the exact solutions, not only in the low-lying collective states in the vicinity of the "vacuum" with the stable mean-field but also in the higher excited collective states far from it. Through the investigation, it is demonstrated that our theory is quite powerful in disclosing microscopic structure of transfiguration of collectivity near the critical point of the "phase transition". It is the essential statement derived by our theory that the conventional (local) collective operators based on the Tamm-Dancoff approximation or the random phase approximation should be replaced by relevant (global) collective operators with changeable microscopic structure depending on the amplitude of collective motion, in order to properly specify a set of collective excited states.

• 理論物理学刊行会の論文
• 1988-10-25

著者

• Muramatsu Kazuhiro

  Institute For Nuclear Study University Of Tokyo

• SAKATA Fumihiko

  Institute for Nuclear Study, University of Tokyo

• MARUMORI Toshio

  Institute of Physics, University of Tsukuba

• Marumori T

  Department Of Physics Science University Of Tokyo

• Marumori Toshio

  Institute For Nuclear Study University Of Tokyo

• Sakata Fumihiko

  Department Of Mathematical Sciences Ibaraki University

• Sakata Fumihiko

  Institute For Nuclear Study The University Of Tokyo

• Sakata F

  Ibaraki Univ. Mito Jpn

関連論文

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• Concept of a Collective Subspace Associated with the Invariance Principle of the Schrodinger Equation:A Microscopic Theory of the Large Amplitude Collective Motion of Soft Nuclei
• Preface
• Chapter 7. Coupling between Collective and Intrinsic Modes of Excitation : Part IV. A Next Subject
• Chapter 5. Microscopic Structure of Breaking and Persistency of "Phonon-plus-Odd-Quasi-Particle Picture" : Part III. Analysis of Low-Lying States in Spherical Odd-Mass Nuclei
• Chapter 4. Persistency of AC State-Like Structure in Collective Excitations : Odd-Mass Mo, Ru, I, Cs and La Isotopes : Part III. Analysis of Low-Lying States in Spherical Odd-Mass Nuclei
• Chapter 3. Structure of the Anomalous Coupling States with Spin I=(j-1) : Part III. Analysis of Low-Lying States in Spherical Odd-Mass Nuclei
• Chapter 2. Theory of Intrinsic Modes of Excitation in Odd-Mass Nuclei : Part II. General Formulation of Theory
• Chapter 1. Intrinsic and Collective Degrees of Freedom in Quasi-Spin Space : Part II. General Formulation of Theory
• Part I. Introduction
• Microscopic Structure of a New Type of Collective Excitation in Odd-Mass Mo, Ru, I, Cs and La Isotopes
• Theory of Collective Excitations in Spherical Odd-Mass Nuclei. IV : Formulation in the General Many-j-Shell Model
• Equations of Motion for the System of Interest under Time-Dependent Environment(Nuclear Physics)
• The Influence of the Pairing Degrees of Freedom on the Collective Excited States : Schematic Analysis
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• Work with Maskawa on Microscopic Theory of Nuclear Collective Motion(Commemorating the Nobel Prize Awarded to M. Kobayashi and T. Maskawa)
• Chapter I Formation of the Viewpoint, Alpha-Like Four-Body Correlations and Molecular Aspects in 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
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• 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
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• Concept of Dynamical Collective Submanifold for Large-Amplitude Collective Motion in the TDHF Theory : Nuclear Physics
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• An Attempt toward Quantum Theory of "Maximally-Decoupled"Collective Motion
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• The Theory of the Structure of Elementary Particles
• 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
• 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
• A New Method for Microscopic Description of the So-Called "Many-Phonon" States in Spherical Even-Even Nuclei. I
• Structure of the Anomalous 0^ Excited States in Spherical Even-Even Nuclei with N or Z≈ 40
• In What Sense Does the Phonon Picture Persist in Spherical Even-Even Nuclei?
• Chapter VI Many-Body Theoretical Description of Alpha-Like Four-Body Correlations
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• Chapter 4 Dynamical Interplay between Pairing and Quadrupole Correlations : Anharmonicity in the So-Called Two-Phonon Triplet States in Medium-Heavy Nuclei
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• On the Relation between Hill-Wheeler's and Bohr-Mottelson's Descriptions of the Nuclear Collective Model
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