Chapter II Nuclear Reaction Matrix and Nuclear Forces

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概要

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• An essentially exact method of solution is presented for the reaction- matrix (G-matrix) equation defined with the orthogonalized plane-wave intermediate spectrum for high-lying two-particle states. The accuracy is examined for introduced truncations and also in comparison with the Tsai-Kuo and Sauer methods. Properties of the G-matrix are discussed with emphasis on the relation with the saturation mechanism, especially overall saturation from light to heavy nuclei. Density and starting-energy dependences of the G-matrix are separately extracted and discussed. It is demonstrated that the triplet-even tensor component of the nuclear force is principally responsible for these dependences and hence for the saturation mechanism. In this context different nuclear potentials are used in the renormalized Brueckner calculation for energies of closed-shell nuclei in the harmonic oscillator basis. A semi-phenomenological "two-body potential" is devised so that it can reproduce the saturation energies and densities of nuclear matter and finite nuclei in the lowest-order Brueckner treatment. It is composed of a realistic N-N potential and two additional parts; one incorporates the three-body force effect and the other is assumed to embody higher-cluster correlations in G. The tensor component in the triplet-even state of this potential is enhanced by the three-body force effect. The G-matrix is represented in the effective local form and decomposed into central. LS and tensor components.

• 理論物理学刊行会の論文
• 1979-08-31

著者

• Akaishi Yoshinori

  Department Of Physics Hokkaido University

• Nagata Sinobu

  Department Of Applied Physics Faculty Of Engineering Miyazaki University

• Bando Hiroharu

  Division Of Mathematical Physics Fukui University

• Bando Hiroharu

  Division Of Mathematical Physics Fukui Universiiy

関連論文

• On the Method of Realistic Four-Body Systems
• Lightest Double-Λ Hypernucleus
• Nucleon-Nucleon Correlations and Inelastic Electron Scattering on ^4He
• Nucleon-Nucleon Short-Range Correlation and High-Momentum Components in Nuclei
• Meson Exchange Current and Three-Body Force Contributions to the ^4He Charge Form Factor
• Effect of Meson Exchange Currents on Charge Form Factors of the Three-Nucleon System
• Chapter IV Charge Form Factors of ^3He and ^4He
• On p-He^4 Effective Potential and Nuclear Forces
• The D_2 Parameter of the α Particle and Nucleon-Nucleon Force
• Realistic Momentum Distributions of the α Particle : Nuclear Physics
• Realistic Density Funcion of Alpha Particle
• Glue-Like Role of Λ Particle in Hypernuclei : Revistited to Be Put on a Firmer Basis : Nuclear Physics
• Nuclear Binding Mechanism and Structure of Neutron-Rich Be and B Isotopes by Molecular-Orbital Model
• Chapter VII Hartree-Fock Calculations of Nuclear Bulk Properties with Density- and Starting-Energy-Dependent Effective Interaction
• Reaction Matrix Calculations for Neutron-Rich He-Isotopes
• Σ-Hypernuclear States in ^Pb : Nuclear Physics
• Hypernucleus Productions and Nuclear Short Range Correlations : Nuclear Physics
• A Study of s-Shell Hypernuclei Based on the Realistic NN and ΛN Interactions : Nuclear Physics
• Effects of NN and ΛN Tensor Forces on Λ-Separation Energy of _Λ^5He
• Binding Energies of Light Double-Λ Hypernuclei
• ΛN Exchange-Force Effects on the Binding Energies of ^5_ΛHe, ^9_ΛBe, ^6_He and ^_Be Hypernuclei : Nuclear Physics
• Chapter VII Negative-Parity States of the Alpha Particle
• Chapter III Binding Energy of the Alpha Particle
• Chapter II The ATMS Method and the Three-Nucleon System with Realistic Potentials
• Variational Calculations of the Alpha Particle with Realistic Nucleon-Nucleon Potentials
• A New Variational Method and Binding Energy of the Triton with Realistic Potentials
• Atom-Nucleus Hybrid State of ^9_ΣBe
• FORMATION AND STRUCTURE OF S=-2 HYPERNUCLEI
• THE NUCLEUS-Σ POTENTIAL
• Binding Energy of Nuclear Matter by the Hole Line Expansion Method
• Backward Angle Anomaly in Alpha+^O Scattering and Alpha-Cluster States in ^Ne
• Backward Angle Anomaly in Alpha-Nucleus Scattering and Parity-Dependent Optical Model
• On the Collective Mode of Internal Motion of the Nucleus to be coupled with the Irrotational Surface Motion
• Influence of α-Clustering on the Odd-Parity Levels in A=18 Nuclei
• Binding Energy of Nuclear Matter by the Hole Line Expansion Method. I
• Optical Model Potential in the Lowest Order Brueckner Theory and Complex Effective N-N Interaction
• Giant Isoscalar Monopole States of ^O and ^Ca by Reaction Matrix and Generator Coordinate Method
• Four Particle-Two Hole Correlations and the Effective Interaction : Two-Level Model for Mass-42 Nuclei
• Production of Hypernuclear States by the (π^+,K^+) Reaction : Nuclear Physics
• Chapter IV Alpha-Cluster Structure in Neon Region
• Chapter IV Coupling Effects of Two-Particle and Alpha Two-Hole States in A=18 Nuclei
• Admixtures of Shell and Cluster States in ^F
• On Coupling between Shell and Cluster States in ^F
• Capter III Study of Non-Alpha-Nuclei Based on the Viewpoint of Cluster Correlations
• On the Accuracy of Wave Functions and Charge Form Factors Obtained from ATMS Calculations
• On the (γ-π^-p) Reaction with Complex Nuclei
• Chapter I Introduction
• Multiple Scattering Equation for Two Particle-One Hole System and Generalized Vertex in Core Polarization of Nuclei. III : Effective Interactions
• Multiple Scattering Equation for Two Particle-One Hole System and Generalized Vertex in Core Polarization of Nuclei. II : Polarization Charges
• Effective Interactions in Finite Nuclei Based on Reaction Matrix Theory. II : Properties of Reaction Matrix and Core-Phonon-Exchange Interaction
• Effective Interactions in Finite Nuclei Based on Reaction Matrix Theory. I : Reaction Matrix Consistent with Model Space
• Chapter VI Reaction Matrix Approach to the Cluster State
• Brueckner-Generator-Coordinate Method and Application to a-a Scattering
• Reaction Matrix Theory for Cluster States in Light Nuclei. II : Clustering Dependence of the Effective Interaction
• Reaction Matrix Theory for Cluster States in Light Nuclei. I : Be^8
• Chapter II Nuclear Reaction Matrix and Nuclear Forces
• Chapter VII Nuclear Forces in Nuclei and Alpha-Clusterization
• On a Calculational Method of Folding Model Potential with Density-Dependent Effective Interactions : Progress Letters
• Systematic Analyses of Proton Elastic Scattering between 65
• Foundation of Deformed Potential Model for Nuclear Rotation
• Tensor Force of the Pion-Theoretical Potential and the Doublet Splitting in n-He^4 Scattering
• Note on the Vibrational Motion in Light Nuclei
• Nuclear Force and Nuclear Matter. I
• Nuclear Deformation and Nuclear Force. II
• Nuclear Forces and Effective Interactions in Nuclei
• Effective Hamiltonian and Energy Gap in Finite Nuclei
• Application of Variational Principle with Natural Boundary Condition to Scattering in Generator Coordinate Method
• Effective Interaction with Three-Body Effects
• Effective Mass of a Λ-Particle in Nuclear Matter and OBE Λ-N Interactions
• On the Effective Range of the Residual Potential in the Shell Model
• Effects of Correlation in the Core on the Motion of Outer Two Nucleons
• Flavor Nuclei and One-Boson-Exchange Potentials
• Heavy Ion Collision with Friction Model : Nulcear Physics
• On the Quadruple Correlation in the Extra Binding Energy of the s-d Shell Nuclei
• On the Bahaviour of the Wave Function of the Ground State of Li^6
• Nuclear Force and Energy Gap in Finite Nuclei
• Phenomenological Study of Three-Body Force Based on the Energy Levels of the Alpha-Particle
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• Nuclear Deformation and Nuclear Force. I
• N-^O Scattering Derived from a Realistic N-N Interaction : Complex Reaction Matrix Approach
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• Particle-Necleus Scattering Theory with Realistic Two-Body Interactions
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• Alpha-Particle Model of ^C by ATMS
• Binding Energies of Multi-Deltas Systems
• Charge Form Factors of ^4He and ^3He with Realistic Hard Core Potentials
• Binding Energies of He and H in Reaction Matrix Theory
• Molecular Orbital Model Study of the ^9_ΛBe, ^_Be, ^_Be and ^_Be Hypernuclei
• On the Λ-Hypernuclear Single Particle Energies
• Effective Hyperon-Nucleon Interaction Derived from Nijmegen OBE Model : Nuclear Physics
• Particle Widths of Excited States in the ^9_ΛBe Hypernucleus : Nuclear Physics
• (K^-,π^-)Reaction Cross Sections with Microscopic Cluster-Model Wave Functions for Light p-Shell Hypernuclei
• Light p-Shell Λ-Hypernuclei by the Microscopic Three-Cluster Model
• Coupling Features in ^9_ΛBe, ^_ΛC and ^_ΛNe Hypernuclei
• Microscopic Study of Lambpha (α_Λ≡^6_He) and Di-α_Λ Cluster States
• Hypernuclear Cluster Structure : Di-"Lambpha" System
• Binding Energies of Double-Λ Hypernuclei and ΛΛ G-Matrix : Nuclear Physics
• On Alpha-Clustering in Nuclear Matter
• Ground State of ^Li
• Hypernuclear Matter with Nijmegen Baryon-Baryon Interaction : Nuclear Physics

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