The Double N/D Method : A New Approach to the Construction of the Partial-Wave Amplitude
スポンサーリンク
概要
- 論文の詳細を見る
A method of obtaining the partial-wave amplitude by two steps is proposed, if the amplitude is written as T=t+r where t satisfies the unitarity relation by itself: first t is solved by the N/D method, and then r is solved with the solution of t and the left-hand discontinuity of r as inputs by using the N/D method again. It is proved that the particle pole of T appears in r, not in t. As an interesting application, three examples are discussed: these are the addition of the modified Born term, the channel coupling effects, the effects of the small change of the left-hand discontinuity. For the last case the shifts of the mass and the coupling constant are practically the same as those derived by Dashen and Frautschi, although their derivation is very questionable.
- 理論物理学刊行会の論文
- 1967-09-25
著者
関連論文
- Regge Pole Exchange and the Oscillatory Behavior in K^+P Scattering
- On the Degeneracy of Regge Trajectories Imposed by the Veneziano-Type Amplitude
- An Approach to Regge Behaviour and Duality Based on an Infinite Sum of One-Particle-Exchange Amplitudes
- Particle Exchange, Regge-Pole Exchange and the Veneziano Amplitude for KN Scattering
- Interrelation between Exclusive and Inclusive Reactions : Inclusive Reactions and Urbaryon Rearrangement Diagrams. II
- Two-Body Reactions at All Angles as the Exclusive Limit of Inclusive Reactions
- Many-Pole Amplitudes and Elementarity. I : One Elementary and Some Composite Particles Case
- Rank Structure of Exclusive Reactions and Characteristic Features of Inclusive Spectra : Inclusive Reactions and Urbaryon Rearrangement Diagrams. IV
- Behaviour of Masses and Coupling Constants in Two Processes Involving Vanishing Z_3
- Multi-Chain Model for High Energy Hadron Nucleus Collisions
- Whole-Region Formula for Single-Particle Distributions and Two-Body Reactions at All Angels
- Large p_T Jets Produced with Massive Large q_T Lepton-Pairs in Hadron Collisions(Large P_T and Dilepton,Proceedings of the Multiparticle Dynamics)
- Effect of Parton transverse Momenta on Hadronic Large p_T Phenomena
- Effect of Hidden Channels on Low-Lying Channels
- On the πN Phase Shift in the P_ State
- Limiting Behaviour of Inclusive Baryon Spectra : Inclusive Reactions and Urbaryon Rearrangement Diagrams. VI
- Properties of Large p_T Jets in Massive Lepton-Pair Production at Large q_T
- Note on Binding Forces between Quarks
- Many-Pole Amplitudes and Elementarity. II : The Case of Two Non-Composite Particles
- A Simple Treatment of Hadron Fragmentation Processes in Hadron-Hadron Collisions : Meson Case
- Representativc Interactions in Multiparticle Productions
- Interpolation Formula for Two-Particle Distribution Function
- Whole-Region Description of Inclusive Spectra and Composite Structure of Hadrons
- Production Rates and Distinctive Components of Single-Particle Distributions : Inclusive Reactions and Urbaryon Rearrangement Diagrams. III
- Inclusive Reactions and Urbaryon Rearrangement Diagrams. II : Scaling Forms for Small Transverse Momentum
- Inclusive Reactions and Urbaryon Rearrangement Diagrams
- Scaling Behaviour of Hadron Interactions and Urbaryon Bond Model
- Goldberger-Treiman Relation and the Elementarity of the Pion
- The Double N/D Method : A New Approach to the Construction of the Partial-Wave Amplitude
- Inclusive Reactions and Urbaryon Rearrangement Diagrams