Mesons and baryons : systematization and methods of analysis / A.V. Anisovich ... [et al.].

Format:

Book

Contributor:

World lScientific (Firm)

Anisovich, A. V.

Language:

English

Subjects (All):

Quantum chromodynamics.

Mesons.

Baryons.

Physical Description:

1 online resource (xxii, 580 p. ) ill.

Place of Publication:

Singapore ; Hackensack, NJ : World Scientific, c2008.

Language Note:

English

Summary:

Deals with the investigation of the strongly interacting hadrons - to a quark model operating with effective color particles, constituent quarks, massive effective gluons and diquarks. This book considers the photon-induced reactions and discusses the problem of form factors.

Contents:

1. Introduction: hadrons as systems of constituent quarks. 1.1. Constituent quarks, effective gluons and hadrons. 1.2. Naive quark model. 1.3. Estimation of masses of the constituent quarks in the quark model. 1.4. Light quarks and highly excited hadrons. 1.5. Scalar and tensor glueballs. 1.6. High energies: the manifestation of the two- and three-quark structure of low-lying mesons and baryons. 1.7. Constituent quarks, QCD-quarks, QCD-gluons and the parton Structure of hadrons. 1.8. Appendix 1.A: metrics and SU(N) groups

2. Systematics of mesons and baryons. 2.1. Classification of mesons in the (n,M[symbol]) plane. 2.2. Trajectories on (J,M[symbol]) plane. 2.3. Assignment of mesons to nonets. 2.4. Baryon classification on (n,M[symbol]) and (J,M[symbol]) planes. 2.5. Assignment of baryons to multiplets. 2.6. Sectors of the 2++ and 0++ mesons - observation of glueballs

3. Elements of the scattering theory. 3.1. Scattering in quantum mechanics. 3.2. Analytical properties of the amplitudes. 3.3. Dispersion relation N=D-method and Bethe-Salpeter equation. 3.4. The matrix of propagators. 3.5. K-matrix approach. 3.6. Elastic and quasi-elastic meson-meson reactions. 3.7. Appendix 3.A: the fo(980) in two-particle and production processes. 3.8. Appendix 3.B: K-matrix analyses of the ([symbol] = 00++)-wave partial amplitude for reactions [symbol]. 3.9. Appendix 3.C: The K-matrix analyses of the ([symbol)-wave partial amplitude for reaction [symbol]. 3.10. Appendix 3.D: The low-mass [symbol]-meson. 3.11. Appendix 3.E: Cross sections and amplitude discontinuities

4. Baryon-baryon and Baryon-antibaryon systems. 4.1. Two-baryon states and their scattering amplitudes. 4.2. Inelastic processes in N�N collisions: production of mesons. 4.3. Inelastic processes in N N collisions: the production of [symbol]-resonances. 4.4. The [symbol] process with J>3/2. 4.5 N N scattering amplitude at moderately high energies - the Reggron exchanges. 4.6. Production of heavy particles. 4.7. Appendix 4.A. Anguular momentum operator. 4.8. Appendix 4.B. Vertices for fermion-antifermion states. 4.9. Appendix 4.C. Spectral integral approach with separable vertices: nucleon-nucleon scattering amplitude N N [symbol] N N, deuteron form factors and photodisintegration and the reaction N N [symbol]. 4.10. Appendix D. [symbol] one-loop diagrams. 4.11. Appendix 4.E. Analysis of the reactions [symbol]: search for [symbol]-mesons. 4.12. Appendix 4.F. New thresholds and the data for [symbol]=Im A/ Re A of the UA4 collaboration at [symbol]=546 gEv. Appendix 4.13. Appendix 4.G. Rescattering effects in three-particle states: triangle diagram singularities and the Schmid theorem. 4.14. Appendix 4.H. Excited nucleon states N(1440) and N(1710) - position of singularities in the complex-M plane

5. Baryons in the [symbol] and [symbol] collisions. 5.1. Production and decay of baryon states. 5.2. Single meson photoproduction. 5.3. The decay of baryons into a pseudoscalar particle and a 3/2 scale. 5.4. Double pion photoproduction amplitudes. 5.5. [symbol] and [symbol] partial widths of baryon resonances. 5.6. Photoproduction of baryons decaying into [symbol] and [symbol]. 5.7. Hyperon photoproduction [symbol] and [symbol]. 5.8. Analyses of [symbol] and [symbol] reactions. 5.9. Summary. 5.10. Appendix 5.A. Legendre polynomials and convolutions. 5.11. Appendix 5.B: cross sections and partial widths for the Breit-Wigner resonance amplitudes. 5.12. Appendix 5.C. Multipoles

6. Multiparticle production processes. 6.1. Three-particle production at intermediate energies. 6.2. Meson-nucleon collisions at high energies: peripheral two-meson production in terms of Reggeon exchanges. 6.3. Appendix 6.A. Three-meson production [symbol]. 6.4. Appendix 6.B. Reggeon exchanges in the two-meson production reactions - calculation routine and some useful relations

7. Photon induced hadron production, meson form factors and quark model. 7.1. A system of two vector particles. 7.2. Nilpotent operators - production of scalar states. 7.3. Reaction [symbol]. 7.4. Spectral integral technique in the additive quark model: transition amplitudes and partial widths of the decays [symbol]. 7.5. Determination of the quark-antiquark component of the photon wave function for u,d,s-quarks. 7.6. Nucleon form factors. 7.7. Appendix 7.A: pion charge form factor and pion q�q wave function. 7.8. Appendix 7.B: two-photon decay of scalar and tensor mesons. 7.9. Appendix 7.C: comments about efficiency of QCD sum rules

8. Spectral integral equation. 8.1. Basic standings in the consideration of light meson levels in the framework of the spectral integral equation. 8.2. Spectral integral equation. 8.3. Light quark mesons. 8.4. Radiative decays. 8.5. Appendix 8.A: bottomonium states found from spectral integral equation and radiative transitions. 8.6. Appendix 8.B: charmonium states. 8.7. Appendix 8.C: the Fierz transformation and the structure of the t-channel exchanges. 8.8. Appendix 8.D: spectral integral equation for composite systems built by spinless constituents. 8.9. Appendix 8.E: Wave functions in the sector of the light quarks. 8.10. Appendix 8.F: how quarks escape from the confinement trap?

9. Outlook. 9.1. Quark structure of mesons and baryons. 9.2. Systematics of the (q�q)-mesons and baryons. 9.3. Additive quark model, radiative decays and spectral integral equation. 9.4. Resonances and their characteristics. 9.5. Exotic states - glueballs. 9.6. White remnants of the confinement singularities. 9.7. Quark escape from confinement trap.

Notes:

Bibliographic Level Mode of Issuance: Monograph

Includes bibliographical references and index.

ISBN:

9789812818263

981281826X