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Three Particle Model of the Pion-nucleon System

Three Particle Model of the Pion-nucleon System PDF Author: Fatih Bulut
Publisher:
ISBN:
Category :
Languages : en
Pages : 119

Book Description
A relativistic, three particle model of the pion-nucleon system is constructed in the instantform of relativistic quantum mechanics using the Bakamjian-Thomas procedure. The modelspace includes subspaces for the nucleon (N), the resonances & delta;= P33 (1232), P11 (1440), D13(1520), S11 (1535), and S31 (1620), as well as & pi;N, & pi & delta;, & eta;N, and & pi; & pi;N subspaces. The modelspecifies a Poincaré invariant mass operator that includes vertex interactions that couple thevarious subspaces, as well as renormalization terms. Projection operator techniques are used toreduce the equations arising from this mass operator to a set of three-dimensional Lippmann-Schwinger integral equations that couple only the & pi;N, & pi; & delta;, and & eta;N channels. After a partial waveanalysis these three-dimensional equations simplify to three coupled, one-dimensional integralequations for each partial wave. The mass operator interactions are derived from effective, hadronic Lagrangians that introduce a set of coupling constants. Cutoff functions are introducedto take into account the non-elementary nature of the particles in the model. These cutofffunctions introduce a set of cutoff masses. The coupling constants and cutoff masses aredetermined by fitting a partial wave analysis of pion-nucleon elastic scattering up to a c.m.energy of W = 1550 MeV.

Three Particle Model of the Pion-nucleon System

Three Particle Model of the Pion-nucleon System PDF Author: Fatih Bulut
Publisher:
ISBN:
Category :
Languages : en
Pages : 119

Book Description
A relativistic, three particle model of the pion-nucleon system is constructed in the instantform of relativistic quantum mechanics using the Bakamjian-Thomas procedure. The modelspace includes subspaces for the nucleon (N), the resonances & delta;= P33 (1232), P11 (1440), D13(1520), S11 (1535), and S31 (1620), as well as & pi;N, & pi & delta;, & eta;N, and & pi; & pi;N subspaces. The modelspecifies a Poincaré invariant mass operator that includes vertex interactions that couple thevarious subspaces, as well as renormalization terms. Projection operator techniques are used toreduce the equations arising from this mass operator to a set of three-dimensional Lippmann-Schwinger integral equations that couple only the & pi;N, & pi; & delta;, and & eta;N channels. After a partial waveanalysis these three-dimensional equations simplify to three coupled, one-dimensional integralequations for each partial wave. The mass operator interactions are derived from effective, hadronic Lagrangians that introduce a set of coupling constants. Cutoff functions are introducedto take into account the non-elementary nature of the particles in the model. These cutofffunctions introduce a set of cutoff masses. The coupling constants and cutoff masses aredetermined by fitting a partial wave analysis of pion-nucleon elastic scattering up to a c.m.energy of W = 1550 MeV.

The Pion-Nucleon System

The Pion-Nucleon System PDF Author: Brian H. Bransden
Publisher: Princeton University Press
ISBN: 1400867444
Category : Technology & Engineering
Languages : en
Pages : 548

Book Description
Synthesizing the theoretical and experimental advances in pion-nucleon interactions over approximately the last twelve years, the authors offer here a timely account of the hadronic interactions of pions and nucleons and of the structure of nucleons. Because of the hadronic SU3 symmetry, the book also treats the structure of baryons in general, and so contains much material external to the specific field of pion-nucleon interactions. Thus the book's subject can be stated as the hadronic structure of baryons as illustrated particularly by pion-nucleon interaction. Following an introductory discussion of isotopic spin, the authors proceed to chapters that treat low energy pion scattering by nucleons and the photoproduction of pions; forward and fixed momentum transfer dispersion relations; analytic properties of scattering amplitudes; formation of nucleon resonances; symmetries and classification of particles and resonances; current algebra, sum rules, and superconvergence relations; scattering at higher energies; pion-nucleon dynamics; pion-nucleon inelastic scattering; and the form factors of the nucleon and the pion. Each chapter is followed by abundant references to the original literature. The level of the writing is suitable for students at the graduate level, and the presentation is even and self-contained. On balance, the authors have prepared a useful consolidation and review of this difficult and changing area of investigation. Originally published in 1973. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Pi NN Systems

Pi NN Systems PDF Author: Humberto Garcilazo
Publisher: World Scientific
ISBN: 9789971508470
Category : Science
Languages : en
Pages : 328

Book Description
This book gives a comprehensive review of the current status of the theory of the pion-two-nucleon systems at intermediate energies. It also makes an extensive comparison of the theoretical prediction with the corresponding data obtained recently from the major meson factories.

Three-particle Physics and Dispersion Relation Theory

Three-particle Physics and Dispersion Relation Theory PDF Author: A. V. Anisovich
Publisher: World Scientific
ISBN: 9814478814
Category : Science
Languages : en
Pages : 342

Book Description
The necessity of describing three-nucleon and three-quark systems have led to a constant interest in the problem of three particles. The question of including relativistic effects appeared together with the consideration of the decay amplitude in the framework of the dispersion technique. The relativistic dispersion description of amplitudes always takes into account processes connected with the investigated reaction by the unitarity condition or by virtual transitions; in the case of three-particle processes they are, as a rule, those where other many-particle states and resonances are produced. The description of these interconnected reactions and ways of handling them is the main subject of the book.

Particle Theory Approach to the Two-pion and Three-pion Systems

Particle Theory Approach to the Two-pion and Three-pion Systems PDF Author: L. I. SCHIFF
Publisher:
ISBN:
Category :
Languages : en
Pages : 1

Book Description
The relation between the two-pion and three-pion resonances is discussed in terms of a model in which the motion of the pions is described by a partially relativistic Schrodinger-type wave equation, and the interaction between them is represented by a static potential. An attractive square-well potential that is almost strong enough to bind the di-pion gives a satisfactory account of the observed P-wave pion-pion scattering. If this potential is assumed to be additive between all pairs in the three-pion I = 0, J = 1( - ) state, it produces far too much binding to agree with observation. As an alternative to additivity, the interaction may be assumed to saturate, so that the total potential never exceeds that between any pair of pions. It is found that the model provides a qualitatively consistent explanation both of pion-pion scattering and the three-pion system if the pair interactions saturate or nearly saturate. (Author).

Crossing Symmetric Models of Pion-nucleon Scattering

Crossing Symmetric Models of Pion-nucleon Scattering PDF Author: Steven Bernard Jacobson
Publisher:
ISBN:
Category : Pion-nucleon interactions
Languages : en
Pages : 196

Book Description


Pi Nn Systems

Pi Nn Systems PDF Author: Tetsuro Mizutani
Publisher: World Scientific
ISBN: 9814513784
Category : Science
Languages : en
Pages : 324

Book Description
This book gives a comprehensive review of the current status of the theory of the pion-two-nucleon systems at intermediate energies. It also makes an extensive comparison of the theoretical prediction with the corresponding data obtained recently from the major meson factories.

The Three Nucleon System Including One Dynamical Pion, a One Dimensional Test Case

The Three Nucleon System Including One Dynamical Pion, a One Dimensional Test Case PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :

Book Description


The Three Nucleon System Including One Dynamical Pion

The Three Nucleon System Including One Dynamical Pion PDF Author: Thomas Melde
Publisher:
ISBN:
Category :
Languages : en
Pages : 280

Book Description


Nuclear Science Abstracts

Nuclear Science Abstracts PDF Author:
Publisher:
ISBN:
Category : Nuclear energy
Languages : en
Pages : 912

Book Description