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Scattering Amplitudes to All Orders in Meson Exchange

Scattering Amplitudes to All Orders in Meson Exchange PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 12

Book Description
As the number of colors in QCD, N{sub C}, becomes large, it is possible to sum up all meson-exchange contributions, however arbitrarily complicated, to meson-baryon and baryon-baryon scattering. A semi-classical structure for the two-flavor theory emerges, in close correspondence to vector-meson-augmented Skyrme models. In this limit, baryons act as extended static sources for the classical meson fields. This leads to non-linear differential equations for the classical meson fields which can be solved numerically for static radial (hedgehog-like) solutions. The non-linear terms in the equations of motion for the quantized meson fields can then be simplified, to leading order in 1/N{sub C}, by replacing all factors of the meson field but one by the previously-found classical field. This results in linear, Schroedinger-like equations, which are easily solved. For the meson-baryon case the solution can be subsequently analyzed to obtain the phase shifts for the scattering and, from these, the baryon resonance spectrum of the model. As the warm-up, we have carried out this calculation for the simple case of [sigma] mesons only, finding sensible results. 8 refs., 3 figs.

Scattering Amplitudes to All Orders in Meson Exchange

Scattering Amplitudes to All Orders in Meson Exchange PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 12

Book Description
As the number of colors in QCD, N{sub C}, becomes large, it is possible to sum up all meson-exchange contributions, however arbitrarily complicated, to meson-baryon and baryon-baryon scattering. A semi-classical structure for the two-flavor theory emerges, in close correspondence to vector-meson-augmented Skyrme models. In this limit, baryons act as extended static sources for the classical meson fields. This leads to non-linear differential equations for the classical meson fields which can be solved numerically for static radial (hedgehog-like) solutions. The non-linear terms in the equations of motion for the quantized meson fields can then be simplified, to leading order in 1/N{sub C}, by replacing all factors of the meson field but one by the previously-found classical field. This results in linear, Schroedinger-like equations, which are easily solved. For the meson-baryon case the solution can be subsequently analyzed to obtain the phase shifts for the scattering and, from these, the baryon resonance spectrum of the model. As the warm-up, we have carried out this calculation for the simple case of [sigma] mesons only, finding sensible results. 8 refs., 3 figs.

From Fundamental Fields To Nuclear Phenomena - Proceedings Of The Workshop

From Fundamental Fields To Nuclear Phenomena - Proceedings Of The Workshop PDF Author: James A Mcneil
Publisher: World Scientific
ISBN: 9814569305
Category : Science
Languages : en
Pages : 298

Book Description
This workshop focusses on the interface of nuclear, particle and atomic physics. Theorists in each of these areas are independently attempting to use fundamental field theories to describe physical phenomena on their scale of interest. The purpose of this workshop is to bridge the artificial gap between these fields by providing a rare forum for a joint discussion of their respective approaches, ideas and methods for the application of quantum field theories to a wide variety of phenomena.

The Large N Expansion in Quantum Field Theory and Statistical Physics

The Large N Expansion in Quantum Field Theory and Statistical Physics PDF Author: E. Br‚zin
Publisher: World Scientific
ISBN: 9789810204563
Category : Science
Languages : en
Pages : 1154

Book Description
This book contains an edited comprehensive collection of reprints on the subject of the large N limit as applied to a wide spectrum of problems in quantum field theory and statistical mechanics. The topics include (1) Spin Systems; (2) Large N Limit of Gauge Theories; (3) Two-Dimensional QCD; (4) Exact Results on Planar Perturbation Series and the Nature of the 1/N Series; (5) Schwinger-Dyson Equations Approach; (6) QCD Phenomenological Lagrangians and the Large N Limit; (7) Other Approaches to Large N: Eguchi-Kawai Model, Collective Fields and Numerical Methods; (8) Matrix Models; (9) Two-Dimensional Gravity and String Theory.

Meson Exchange and the Relativistic Multiple Scattering Formalism

Meson Exchange and the Relativistic Multiple Scattering Formalism PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 5

Book Description
A relativistic multiple scattering theory is formulated in the context of meson exchange. The elastic scattering amplitude for a fermion projectile satisfies a Dirac equation with an optical potential derived from a relativistic multiple scattering series. It is shown that the two-body t-matrix associated with the optical potential is the one with the projectile on its mass-shell in all intermediate states.

Mesons and Light Nuclei ’95

Mesons and Light Nuclei ’95 PDF Author: J. Adam
Publisher: Springer Science & Business Media
ISBN: 3709194539
Category : Science
Languages : en
Pages : 539

Book Description
The International Conference Mesons and Light Nuclei, organized by the Institute of Nuclear Physics (INP), Rez, was held during July 2 - 7, 1995 in small north Bohemian town Straz pod Ralskem. It was the sixth in a series of meetings which took place previously at Liblice 74 and 81, Bechyne 85 and 88, and Prague 91. The conferences gained already their firm position among intermediate energy nuclear physics activities. International nuclear physics community strongly supported our intention to continue the series. This year's venue for the conference was the accommodation and social area of the DIAMO company at Straz. The goal of the meeting was to summarize the present situation and the future perspectives concerning the experimental investigations and theoreti cal descriptions of light nuclei and their interactions with electromagnetic and hadronic probes, mainly at intermediate energies. The scientific program of the conference included the following areas of research: nuclear physics with pions and antiprotons, T)-meson physics, baryonic systems with strangeness, relativis tic few-body dynamics, and electroweak nuclear interaction. Representatives from many international groups working within different experimental facili ties and with different theoretical methods were invited and asked to present their latest results and future research programs. The Straz conference, attended by 102 physicist from institutions in 22 countries, was sponsored by the Austrian Ministry for Science and Research, Czech Ministry for Industry and Trade, and by SKODA PRAHA a.s. Thanks to this sponsorship we could also invite several participants and students at essentially reduced cost.

Dynamical Gauge Symmetry Breaking

Dynamical Gauge Symmetry Breaking PDF Author: Edward Farhi
Publisher: World Scientific
ISBN: 9789971950248
Category : Science
Languages : en
Pages : 432

Book Description
This book is a collection of original papers on dynamical gauge symmetry breaking, and is intended for graduate students and researchers in theoretical physics (elementary particle physics and others) who have an understanding of basic quantum field theory. The book can serve as a research text for those requiring an introduction to dynamical gauge symmetry breaking and as a reference text for active researchers. The important papers in the field that are included deal with attempts to apply the ideas to realistic models of elementary particle interactions. A historical critique by the editors provides an introductory review.

Nuclear Science Abstracts

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

Book Description


Energy Research Abstracts

Energy Research Abstracts PDF Author:
Publisher:
ISBN:
Category : Power resources
Languages : en
Pages : 966

Book Description


Selected Papers, with Commentary, of Tony Hilton Royle Skyrme

Selected Papers, with Commentary, of Tony Hilton Royle Skyrme PDF Author: Tony Hilton Royle Skyrme
Publisher: World Scientific
ISBN: 9810216467
Category : Science
Languages : en
Pages : 456

Book Description
The most important papers of Tony Hilton Royle Skyrme are collected in this volume which also includes commentaries by G Brown and other articles relating to the life and work of Tony Skryme, R Dalitz, E Witten and others. Skyrme's work was brilliant, profound and surprisingly useful. He provided an original solution to the problem of constructing fermions from bosons, formulating the topological soliton model of the nucleon. His two-parameter model of effective interactions in nuclei has yielded a remarkably accurate description of nuclear structure. His à-particle model of nuclei gave deep insights into the structure of important and complicated excited states.This volume is a unique collection of Tony Skyrme's work. It is a must for all physicists in the high energy, nuclear and mathematical physics community.

Refereed and selected contributions from International Conference on Quark Nuclear Physics

Refereed and selected contributions from International Conference on Quark Nuclear Physics PDF Author: Charlotte Elster
Publisher: Springer Science & Business Media
ISBN: 9783540206613
Category : Science
Languages : en
Pages : 474

Book Description
This volume contains the refereed and selected contributions from the International Conference on Quark Nuclear Physics (QNP2002), held from 9 to 14 June 2002 in Jülich, Germany. It covered the following topics: - Structure and Spectroscopy of Hadrons - QCD-Inspired Quark Models of Hadrons and Nuclei - Effective Theories - Lattice Gauge Theories - Soft and Hard Hadronic Processes - Soft and Hard Electroweak Processes - Medium Modifications of Hadrons - Matter Under Extreme Conditions and Quark-Gluon Plasma - Heavy-Quark Physics