A New Method for Microscopic Description of the So-Called "Many-Phonon" States in Spherical Even-Even Nuclei. I

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概要

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• A new method for systematic treatment of the anharmonicity effect in the many-phonon states in fermion space is proposed. The most important part of the method is a recursion formula for the norm of many-phonon states in fermion space. this recursion formula is applied to the calculation of every matrix element of an arbitrary operator. A successive approximation procedure to calculate the recursion formula is also proposed. This new method is rewritten so as to be suitable for the case of collective-phonon truncation of fermion space. the recursion formula in this case is expressed in a form expanded with respect to to what extent the anharmonicity effect due to the Pauli principle is taken into account. It is shown that the cutoff factor appearing in the boson representation of the SU(6) algebra is obtained by the lowest order of the successive approximation procedure for this expansion and the values of the cutoff factor estimated in this approximation show good fit to those obtained from the exact solution of the many-quasi-particle states which were previously calculated by the present authors. This implies that the new method proposed in this paper gives good results even in the lowest order approximation.

• 理論物理学刊行会の論文
• 1977-04-25

著者

• Sakata Fumihiko

  Institute For Nuclear Study The University Of Tokyo

• IWASAKI Saburo

  Physics Department, Technische Universitat Munchen

• Iwasaki Saburo

  Institute For Nuclear Study University Of Tokyo

• Sakata F

  Ibaraki Univ. Mito Jpn

• TAKADA Kenjiro

  Department of Physics, Kyushu University

• Takada Kenjiro

  Institute Of Physics University Of Tsukuba

• Takada Kenjiro

  Department Of Physics Kuushu University

• IWASAKI Saburo

  Institute fro Nuclear Study, University of Tokyo

関連論文

• Breaking of Separability Condition for Dynamical Collective Subspace : Onset of Quantum Chaos in Large-Amplitude Collective Motion : Nuclear Phusics
• A Large Amplitude Collective Motion in a Nontrivial Schematic Model
• Preface
• Chapter 7. Coupling between Collective and Intrinsic Modes of Excitation : Part IV. A Next Subject
• Chapter 1. Intrinsic and Collective Degrees of Freedom in Quasi-Spin Space : Part II. General Formulation of Theory
• 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
• A Possible Microscopic Description of Nuclear Collective Rotation in Band-Crossing Region:Occurrence Mechanism of s-Band
• Work with Maskawa on Microscopic Theory of Nuclear Collective Motion(Commemorating the Nobel Prize Awarded to M. Kobayashi and T. Maskawa)
• 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
• 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
• Role of Particle-Hole Interaction in the Four-Particle-Four-Hole States in ^O
• Two-Octupole-Phonon States in ^Gd
• Non-Unitary Realization of the Selfconsistent Collective-Coordinate Method : Nuclear Physics
• A Microscopic Theory of the So-Called "Two-Phonon" States in Even-Even Nuclei. II : Formulation
• Dyson Boson Mapping and Shell-Model Calculations for Even-Even Nuclei(Nuclear Physics)
• 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?
• Axially Asymmetric Deformation and Its Stability in sd-Shell Nuclei
• Quasiparticle-Shell-Model Calculations of So-Called Two-Phonon States in Cd and Sn Isotopes
• Nuclear Deformation and Nuclear Force. II
• Chapter 5 Dynamical Interplay between Pairing and Quadrupole Correlations in Odd-Mass Nuclei
• Chapter 4 Dynamical Interplay between Pairing and Quadrupole Correlations : Anharmonicity in the So-Called Two-Phonon Triplet States in Medium-Heavy 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
• Dynamical Anharmonicity Effects in Low-Lying Negative-Parity States of Odd-Mass Sn Isotopes
• On the Four-Body Correlations in Light Nuclei : Reduction of the Effective Interaction due to the Pauli Principle
• Non-Unitary Boson Mapping and Its Application to Nuclear Collective Motions
• Correlation Analysis of Quantum Fluctuations and Repulsion Effects of Classical Dynamics in SU(3) model(Nuclear Physics)
• Alpha-Like Spatial Four-Body Correlations in Light Nuclei : Vertically-Truncated-Subspace Shell Model for the Core Plus Four-Particle System
• 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
• Test of Validity of the Hermitian Treatment of the Dyson Boson Mapping
• Convergence of Boson Expansion Theory : Nuclear Physics
• A Comment on the New Formulation of a Many-Level Shell Model
• A New Formulation of a Many-Level Shell Model : A Method of Constructing Orthonormal Basis States Analytically
• A Non-Linear Extension of the Quasiparticle Random-Phase Approximation for Description of Nuclear Collective Motions : Application of Sawada's Attached Field Method
• Crossing of Rotational Bands in Even-Mass Tin Isotopes
• Quantum Theory of Dynamical Collective Subspace for Large-Amplitude Collective Motion : Nuclear Physics
• Convergence of Boson Expansion Theory : Nuclear Physics
• Present Status of the Microscopic Study of Low-Lying Collective States in Spherical and Transitional Nuclei (Microscopic Study of Low-Lying Collective States in Spherical and Transitional Nuclei--Dynamical Interplay between Pairing and Quadrupole Modes)
• Bifurcation Structure of Eigenstates and Periodic Trajectories in TDHF Phase Space : Weak Nonlinearity Case in SU(3) Model : Nuclear Physics

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