Scalar strong interaction hadron theory III / Fang Chao Hoh.

Format:

Book

Author/Creator:

Hoh, Fang Chao, author.

Series:

Physics Research and Technology

Language:

English

Subjects (All):

Wave equation.

Wave equation--Numerical solutions.

Physical Description:

1 online resource (366 pages)

Edition:

1st ed.

Place of Publication:

New York, NY : Nova Science Publishers, Inc., [2022]

Summary:

"The purpose of this book is to present the scalar strong interaction hadron theory in a coherent and systematic manner. This is not a finished research monograph, but gives an account of the present state of a theory supposedly still at its early stage of development. The chapters herein have been revised and updated many times over the years. This work will hopefully facilitate researchers interested in entering into this field and serve as a basis for future development of this theory. The new feature of this third edition is mainly Chapters 16 and 17 in which gravitation is included in the scalar strong interaction hadron theory"-- Provided by publisher.

Contents:

Intro

Contents

Preface to the Third Edition

Preface to the Second Edition

Preface to the First Edition

Chapter 1

Introduction

1.1. Background

1.2. On Construction of New Physical Theories

1.3. Reformulation of Old Theories and Generalization

1.4. Higher Spin Wave Equations for Point Particle

1.5. Higher Spin Wave Equations for Composite Particle, the BS Equation

1.6. Approach to Equations of Motion for Hadron

Chapter 2

Construction of Equations of Motion for Meson

2.1. Quark Wave and Potential Equations

2.2. Spinor Meson Wave Equations in Space Time

2.3. Mass Operators and "Flavor" or Internal Space

2.3.1. Mass Operators

2.3.2. Internal or Flavor Space

2.3.3. Quark Mass and Charge Operators and Flavor Functions

2.3.4. Meson Wave Equations Including Internal Functions

2.3.5. Internal or Flavor Functions and Mass Operator

2.4. Global SU(3) Transformations and Meson Wave Functions

2.4.1. Labelling the Meson Wave Functions

2.4.2. Broken Global SU(6) Symmetry and Octet Internal Functions

2.4.3. Wave Functions for (0 and (

2.4.4. Octet Meson Wave Functions in Space Time

Chapter 3

Meson Wave Equations in Relative Space

3.1. Laboratory and Relative Coordinates and Meson Equations

3.2. Rest Frame Meson Equations and Confining Potential

3.3. Parity and Nonexistence of Scalar and Axial Vector Mesons

3.4. Radial Equations for Mesons in Relative Space

3.4.1. Singlet, l = 0 Mesons

3.4.2. Singlet, l &gt

0 Mesons

3.4.3. Triplet, l = 0 Mesons

3.4.4. Triplet, l ( 0 Mesons

Chapter 4

Normalization, Superposition Principle, Flavor-Independence, and Wave Functions

4.1. Remarks on Earlier Normalizations

4.2. Normalization of Meson Wave Functions

4.3. Superposition Principle and Meson Wave Functions.

4.3.1. Superposition Principle and Linear Meson Wave Equations

4.3.2. Solutions of Linear Meson Wave Equations [H25, H26]

4.4. Flavor Independence of Ground State Mesons

4.5. Excited Meson Wave Functions

4.6. Confinement, Sizes of Mesons and Fundamental Length

Chapter 5

Spectra, Classification and Motion of Mesons

5.1. Electromagnetic Masses of Mesons

5.2. Value of the Fundamental Length

5.3. Quark Masses and Ground State Meson Spectra

5.4. Ground State Mesons with Closed Flavor and GMO Formula

5.5. Radially Excited Mesons [H25]

5.6. Orbitally Excited Mesons [H25]

5.6.1. Orbitally Excited Singlet Mesons

5.6.2. Orbitally Excited Triplet Mesons

5.7. Nonrelativistic Pseudoscalar Mesons

5.7.1. Meson Wave Equations with Null Relative Energy (K ( (

5.7.2. Nonrelativistic Pseudoscalar Meson Wave Functions

5.7.3. Approximative Heavy Meson Wave Functions

5.7.4. Light Meson Wave Equations and "Decoupling" Approximation

5.7.5. Extremely Relativistic Mesons

5.7.6. Classical Energy-Momentum Relation

Chapter 6

Lagrangian Formalism and Electromagnetic Interactions

6.1. Meson Action

6.1.1. Meson Action and Boundary Conditions

6.1.2. Variational Problem

6.1.3. Inclusion of Electromagnetic Fields at Quark and Hadron Levels

6.2. U(1) Gauge Invariance and Resolving the U(1) Problem

6.2.1. U(1) Gauge Invariance

6.2.2. Mass and Source of the U(1) Gauge Field

6.2.3. Resolving the U(1) Problem

6.3. Meson Magnetic Moment

6.3.1. Gauge Invariance and External Magnetic Field

6.3.2. Magnetic Moments of Mesons

6.4. Radiative Decay of Heavy Vector Meson V(P( [H10, 26]

6.4.1. Wave Functions of Decaying Meson

6.4.2. Full U(1) Gauge Field

6.4.3. First Order Relations

6.4.4. Rudimentary Quantization and Decay Amplitude

6.4.5. Decay Rate.

6.4.6. Comparison with Data

Chapter 7

Weak Decay of Kaon and Pion, Higgs and Ramifications

7.1. Actions for Semi-Leptonic Decay

7.1.1. Total and Gauge Boson Action

7.1.2. Meson Action and Approximate SU(3) Gauge Invariance

7.1.3. Lepton Action and Approximate SU(2)(U(1) Gauge Invariance

7.2. The Weinberg Angle and Degeneracy of Su(3) Gauge Fields

7.2.1. Origin of the Weinberg Angle

7.2.2. Broken Local SU(3) Symmetry and Weinberg's Angle

7.2.3. Degeneracy of SU(3) Gauge Fields and Extended Glashow Model

7.3. Decay of Pion and Kaon to Gauge Bosons

7.3.1. Ordering of Wave Functions

7.3.2. First Order Relations

7.3.3. Rudimentary Quantization

7.3.4. Amplitude for Decay to Gauge Boson, Vacuum Meson State

7.3.5. Amplitude for Decay to Pion and Gauge Boson

7.3.6. Amplitude for Decay to Two Gauge Bosons, Second Order Relations

7.4. Decay Amplitude for Gauge Bosons ( Lepton Pair and Photon

7.4.1. General Considerations

7.4.2. Generation of Mass of Charged Gauge Boson

7.4.3. Decay of Charged Gauge Boson into Lepton Pair

7.4.4. Neutral Gauge Boson Mass and Decay into Lepton Pair

7.4.5. Decay Amplitude for (( ( (0e((e

7.4.6. Decay Amplitudes for K ( ( + Lepton Pair

7.4.7. Decay Amplitudes for K+, (+ ( ( + Lepton Pair

7.5. Decay Rates and Detachment of Weak and Electromagnetic Couplings

7.5.1. (( ( (0e((e

7.5.2. ((, K( ( L((L

7.5.3. Detachment of Weak and Electromagnetic Couplings Conjecture

7.5.4. Gauge Boson Mass, ((( and Cabibbo Angle

7.5.5. K0,(K(( Lepton Pairs

7.5.6. K ( ( + Lepton Pairs

7.5.7. K+, (+ ( (((( (

7.6. Purely Leptonic Interactions, Standard Model, Higgs as Bound State W+W(, and Muon Decay

7.6.1. Standard Model and Purely Leptonic Interactions

7.6.2. Comparison to Standard Model and Replacement of Higgs Bosons by Kaons.

7.6.3. Bound State of W+W( and Higgs-like Boson [H23, H24]

7.6.4. Muon Decay

7.7. Formulation of the K(3( Problem

7.7.1. Variation of Pion Action

7.7.2. Pion Wave Functions and Ordering of the Pion Action

7.7.3. Evaluation of the Gauge Boson Fields and Further Development

7.7.4. Failure of the "Decoupled" Solution (5.7.23, 28)

Chapter 8

On Strong Decay of Mesons

8.1. Meson Equations Involving Four Quarks

8.1.1. Coupled Four Quark Equations

8.1.2. Intermediary Scalar Potential Perturbation

8.1.3. Mixed Quark Wave Functions and Equations

8.1.4. Construction of Coupled Meson Equations

8.2. Formulation of Strong Decay V(PP and Impasse

8.2.1. First Order Relations

8.2.2. Impasse of V(PP and Its Verification

8.2.3. Perturbed Scalar Potential Equation

8.2.4. Green's Function and Decay Amplitude

8.3. Unified Strong and Electromagnetic Coupling Hypothesis

8.3.1. Decay Rate for Slow Pseudoscalar Mesons

8.3.2. Decay Rate and Application to Data

8.3.3. Ratio of V ( P( and V ( P( Decay Rates

8.3.4. Unified Strong and Electromagnetic Coupling Hypothesis

8.4. Formulation of (0( ((

8.4.1. Isotriplet Meson Wave Equations

8.4.2. Prototype Mechanism for (0(((

8.4.3. Virtual Intermediate Meson Wave Equations and Impasse

Chapter 9

Construction of Equations of Motion for Baryon

9.1. Quark Wave and Potential Equations

9.2. Baryon Wave Equations in Space Time

9.3. Baryon Internal Functions and Total Wave Equations

9.3.1. Baryon Internal or Flavor Functions

9.3.2. Total Baryon Wave Functions

9.3.3. Internal or Flavor Functions and Mass Operator

Chapter 10

Reduction of Baryon Wave Equations

10.1. Baryon Equations in Relative Space

10.2. Doublet Wave Equations and Confinement

10.2.1. Doublet Wave Equations in Relative Space.

10.2.2. Doublet Radial Wave Equations and Asymptotic Solutions

10.2.3. Ground State Doublet Wave Functions at Origin

10.2.4. Relations to Dirac's Equation

10.3. Normalization of Doublet Wave Functions

10.4. Linear Baryon Radial Equations and First Order System

10.5. Quartet Wave Equations and Confinement

10.5.1. Quartet Wave Equations in Relative Space

10.5.2. Quartet Radial Wave Equations for j ≥ 3/2

10.5.3. Quartet Radial Wave Equations for j = 1/2

Chapter 11

Baryon Wave Functions, Classification and Magnetic Moment

11.1. Confined Doublet Baryon Wave Functions

11.1.1. Numerical Treatment of the Radial Wave Equations

11.1.2. Sets of Wave Functions and Potential Constants, db4=0

11.1.3. Unique Sets of Wave Functions and Potential Constants, db4(0

11.1.4. On Functions Nonseparable in Relative Space x and Internal Space z

11.2. Classification Scheme for Doublet Baryons

11.3. Classification Scheme for Quartet Baryons

11.4. Baryon Magnetic Moment [H22]

11.4.1. Baryon Wave Equations and Electromagnetic Field

11.4.2. Internal Baryon Wave Functions

11.4.3. Transformation into Laboratory and Relative Coordinates

11.4.4. First Order Relations and Magnetic Moment

Chapter 12

Neutron Decay and Possible Nonconservation of Angular Momentum

12.1. Background

12.2. Introduction of Vector and Tensor Gauge Fields

12.2.1. Action-Like Integrals for Doublet Baryons

12.2.2. Nonminimal Substitution and Tensor Gauge Field

12.2.3. SU(3) Tensor Gauge Fields and Gauge Invariance

12.3. First Order Relations

12.4. Decay Amplitude

12.5. Expressions for Vector and Tensor Gauge Fields

12.5.1. Mass Generation of W Boson via Virtual (0

12.5.2. Variation of the Total Action for Neutron Decay

12.5.3. Expressions for Tensor and Vector Gauge Fields.

12.5.4. Decay Amplitude as Function of Lepton Wave Functions.

Notes:

Description based on print version record.

Other Format:

Print version: Hoh, Fang Chao Scalar Strong Interaction Hadron Theory III

ISBN:

9798886971422