Convergence of Boson Expansion Theory : Nuclear Physics
スポンサーリンク
概要
- 論文の詳細を見る
When the Holstein-Primakoff (Hermitan)-type boson expansion theory is applied for nuclear structure calculations, truncation at the fourth-order expansion of boson Hamiltonian is often used. The Dyson-type boson mapping has no difficulty concerning boson expansion, since the Dyson boson Hamiltonian is written in up to sixth-order boson operators, and we do not have to make any truncation of the boson expansion. In the present work, we propose a new clear-cut method to obtain the normal-ordered Holstein-Primakoff boson expansion. Using this method, we test whether or not the truncation of the boson expansion is good approximation in various cases. we show that truncation at the fourth-order expansion of the normal-ordered Holstein-Primakoff boson Hamiltonian is a rather good approximation, but it is not sufficient for detailed analyses.
- 理論物理学刊行会の論文
- 1998-09-25
著者
-
Takada Kenjiro
Department Of Physics Kyushu University
-
Takada Kenjiro
Department Of Physics Kuushu University
-
SATO Motom
Department of Physics, Kyushu University
-
Sato Motom
Department Of Physics Kyushu University
関連論文
- 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)
- 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
- Alpha-Like Spatial Four-Body Correlations in Light Nuclei : Vertically-Truncated-Subspace Shell Model for the Core Plus Four-Particle System
- 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
- Convergence of Boson Expansion Theory : Nuclear Physics