Bootstrap approach to scaling and fixed poles in virtual Compton amplitudes

Schierholz, G.

doi:10.1103/PhysRevD.10.1261

Title: Bootstrap approach to scaling and fixed poles in virtual Compton amplitudes

Journal Article · Fri Jun 01 00:00:00 EDT 1973 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.10.1261· OSTI ID:1442870

Schierholz, G. ^[1]

Stanford Univ., Stanford, CA (United States); Institut fur Theoretische Physik der Univ., Hamburg (Germany)

It is shown that scaling and the l=0 fixed poles can be explained in terms of bootstrap elements. Furthermore this approach is strongly supported by recent investigations of the nature of the fixed poles, while, in the scaling region, it turns out to be equivalent to the parton model.

View Accepted Manuscript (DOE)

Cite

Export

Save

Research Organization:: SLAC National Accelerator Lab., Menlo Park, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: AC02-76SF00515

OSTI ID:: 1442870

Report Number(s):: SLAC-PUB-1261; PRVDAQ; TRN: US1900943

Journal Information:: Physical Review. D, Particles Fields, Vol. 10, Issue 4; ISSN 0556-2821

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (39)

Weak and Electromagnetic Interactions of the Hadrons in Bootstrap Theory Dashen, R. F.; Frautschi, S. C. Physical Review, Vol. 143, Issue 4 https://doi.org/10.1103/PhysRev.143.1171	journal	March 1966
Fubini Sum Rule and Analyticity in Angular Momentum Plane Singh, Virendra Physical Review Letters, Vol. 18, Issue 1 https://doi.org/10.1103/PhysRevLett.18.36	journal	January 1967
Fixed Poles in Virtual Compton Amplitudes Cheng, T. P.; Tung, Wu-Ki Physical Review Letters, Vol. 24, Issue 15 https://doi.org/10.1103/PhysRevLett.24.851	journal	April 1970
Applications of the Chiral $U (6) \otimes U (6)$ Algebra of Current Densities Bjorken, J. D. Physical Review, Vol. 148, Issue 4 https://doi.org/10.1103/PhysRev.148.1467	journal	August 1966
Current Algebras and Symmetries in Bootstrap Theory Dashen, R. F.; Frautschi, S. C. Physical Review, Vol. 145, Issue 4 https://doi.org/10.1103/PhysRev.145.1287	journal	May 1966
The invariant amplitudes of interaction processes Hearn, A. C. Il Nuovo Cimento, Vol. 21, Issue 2 https://doi.org/10.1007/BF02832558	journal	July 1961
Fixed poles in current amplitudes Ezawa, Z. F. Lettere al Nuovo Cimento, Vol. 5, Issue 14 https://doi.org/10.1007/BF02777994	journal	December 1972
Unitarity Condition Below Physical Thresholds in the Normal and Anomalous Cases Mandelstam, S. Physical Review Letters, Vol. 4, Issue 2 https://doi.org/10.1103/PhysRevLett.4.84	journal	January 1960
Invariant Amplitudes for Photon Processes Bardeen, W. A.; Tung, Wu-Ki Physical Review, Vol. 173, Issue 5 https://doi.org/10.1103/PhysRev.173.1423	journal	September 1968
Nonleading Regge Behavior in $ν W_{2}$ and the Possibility of Fixed Poles with Polynomial Residues Close, F. E.; Gunion, J. F. Physical Review D, Vol. 4, Issue 3 https://doi.org/10.1103/PhysRevD.4.742	journal	August 1971
Gauge-Invariant Scaling Model of Current Interactions with Regge Behavior and Finite Fixed-Pole Sum Rules Brodsky, Stanley J.; Close, Francis E.; Gunion, J. F. Physical Review D, Vol. 8, Issue 10 https://doi.org/10.1103/PhysRevD.8.3678	journal	November 1973
Current Algebra and Non-Regge Behavior of Weak Amplitudes. II Bronzan, J. B.; Gerstein, I. S.; Lee, B. W. Physical Review, Vol. 157, Issue 5 https://doi.org/10.1103/PhysRev.157.1448	journal	May 1967
Scaling Properties and the Bound-State Nature of the Physical Nucleon Drell, S. D.; Lee, T. D. Physical Review D, Vol. 5, Issue 7 https://doi.org/10.1103/PhysRevD.5.1738	journal	April 1972
Pion Resonances Zachariasen, Fredrik; Zemach, Charles Physical Review, Vol. 128, Issue 2 https://doi.org/10.1103/PhysRev.128.849	journal	October 1962
A non perturbative parton model of current interactions Landshoff, P. V.; Polkinghorne, J. C.; Short, R. D. Nuclear Physics B, Vol. 28, Issue 1 https://doi.org/10.1016/0550-3213(71)90375-0	journal	May 1971
Finite-Energy Sum Rules and Inelastic Electron Scattering Elitzur, Moshe Physical Review D, Vol. 3, Issue 9 https://doi.org/10.1103/PhysRevD.3.2166	journal	May 1971
Partons and duality in deep inelastic lepton scattering Landshoff, P. V.; Polkinghorne, J. C. Nuclear Physics B, Vol. 28, Issue 1 https://doi.org/10.1016/0550-3213(71)90376-2	journal	May 1971
Scaling in electron scattering and compositeness Zachariasen, F. Nuclear Physics B, Vol. 43 https://doi.org/10.1016/0550-3213(72)90025-9	journal	June 1972
Regge pole analysis of inelastic e - p scattering data Matsumoto, Y.; Muta, T.; Nakajima, H. Physics Letters B, Vol. 39, Issue 2 https://doi.org/10.1016/0370-2693(72)90791-5	journal	April 1972
Theory of Deep-Inelastic Lepton-Nucleon Scattering and Lepton-Pair Annihilation Processes. I Drell, Sidney D.; Levy, Donald J.; Yan, Tung-Mow Physical Review, Vol. 187, Issue 5 https://doi.org/10.1103/PhysRev.187.2159	journal	November 1969
Baryon-antibaryon bootstrap model of the meson spectrum Schierholz, G. Il Nuovo Cimento A, Vol. 16, Issue 1 https://doi.org/10.1007/BF02785526	journal	July 1973
The mesons as a relativistic fermi-quark-antiquark system with strong binding Böhm, M.; Joos, H.; Krammer, M. Nuclear Physics B, Vol. 51 https://doi.org/10.1016/0550-3213(73)90524-5	journal	January 1973
Low-Energy Pion-Photon Interaction: The ( $2 π, 2 γ$ ) Vertex Desai, Bipin R. Physical Review, Vol. 124, Issue 4 https://doi.org/10.1103/PhysRev.124.1248	journal	November 1961
Reciprocal Bootstrap Relationship of the Nucleon and the (3, 3) Resonance Chew, Geoffrey F. Physical Review Letters, Vol. 9, Issue 5 https://doi.org/10.1103/PhysRevLett.9.233	journal	September 1962
Forward Compton Scattering Damashek, Marc; Gilman, Frederick J. Physical Review D, Vol. 1, Issue 5 https://doi.org/10.1103/PhysRevD.1.1319	journal	March 1970
Evaluation of the $J = 0$ Fixed Pole in Neutron Compton Scattering Dominguez, C. A.; Gunion, J. F.; Suaya, R. Physical Review D, Vol. 6, Issue 5 https://doi.org/10.1103/PhysRevD.6.1404	journal	September 1972
Bootstraps and partons a field guide to composite hadrons Harte, John Nuclear Physics B, Vol. 50, Issue 1 https://doi.org/10.1016/S0550-3213(72)80020-8	journal	January 1972
Compton Scattering and Fixed Poles in Parton Field-Theoretic Models Brodsky, Stanley J.; Close, Francis E.; Gunion, J. F. Physical Review D, Vol. 5, Issue 6 https://doi.org/10.1103/PhysRevD.5.1384	journal	March 1972
Sum Rules Giving Tests of Local Current Commutation Relations in High-Energy Neutrino Reactions Adler, Stephen L. Physical Review, Vol. 143, Issue 4 https://doi.org/10.1103/PhysRev.143.1144	journal	March 1966
Connection of Elastic Electromagnetic Nucleon Form Factors at Large $Q^{2}$ and Deep Inelastic Structure Functions Near Threshold Drell, Sidney D.; Yan, Tung-Mow Physical Review Letters, Vol. 24, Issue 4 https://doi.org/10.1103/PhysRevLett.24.181	journal	January 1970
Can Quarks Be Kept Inside Hadrons? Johnson, K. Physical Review D, Vol. 6, Issue 4 https://doi.org/10.1103/PhysRevD.6.1101	journal	August 1972
Off-Shell Form Factors for Composite Hadrons and Exclusive Processes in Electroproduction Sucher, J.; Woo, C. H. Physical Review D, Vol. 7, Issue 11 https://doi.org/10.1103/PhysRevD.7.3372	journal	June 1973
Forward Compton Scattering Amplitude as a Simultaneous Analytic Function of Complex Photon Mass and Energy suri, Ashok Physical Review D, Vol. 4, Issue 2 https://doi.org/10.1103/PhysRevD.4.570	journal	July 1971
Multichannel Bootstrap Calculation of the Vector-Meson Parameters Using a Relativistic Lippmann-Schwinger Equation Boguta, J.; Wyld, H. W. Physical Review, Vol. 164, Issue 5 https://doi.org/10.1103/PhysRev.164.1996	journal	December 1967
Linear Integral Equations for Relativistic Multichannel Scattering Blankenbecler, R.; Sugar, R. Physical Review, Vol. 142, Issue 4 https://doi.org/10.1103/PhysRev.142.1051	journal	February 1966
Theory of Deep-Inelastic Lepton-Nucleon Scattering and Lepton Pair Annihilation Processes. II. Deep-Inelastic Electron Scattering Drell, Sidney D.; Levy, Donald J.; Yan, Tung-Mow Physical Review D, Vol. 1, Issue 4 https://doi.org/10.1103/PhysRevD.1.1035	journal	February 1970
A model of baryon states Cutkosky, R. E. Annals of Physics, Vol. 23, Issue 3 https://doi.org/10.1016/0003-4916(63)90262-8	journal	September 1963
Forward compton scattering sum rules and J=0 singularities Dominguez, C. A.; Ferro Fontan, C.; Suaya, R. Physics Letters B, Vol. 31, Issue 6 https://doi.org/10.1016/0370-2693(70)90197-8	journal	March 1970
Scaling, Fixed Poles, and Electroproduction Sum Rules Cornwall, John M.; Corrigan, Dennis; Norton, Richard E. Physical Review D, Vol. 3, Issue 2 https://doi.org/10.1103/PhysRevD.3.536	journal	January 1971

Similar Records

Bootstrap approach to scaling and fixed poles in virtual Compton amplitudes

Journal Article · Thu Aug 15 00:00:00 EDT 1974 · Phys. Rev., D., v. 10, no. 4, pp. 1261-1270 · OSTI ID:1442870

Schierholz, G

J = 0 fixed pole in the virtual Compton amplitude

Journal Article · Sat Sep 15 00:00:00 EDT 1973 · Phys. Rev., D, v. 8, no. 6, pp. 1897-1903 · OSTI ID:1442870

Niegawa, A; Uematsu, T; Muta, T

Gauge-Invariant Scaling Model of Current Interactions with Regge Behavior and Finite Fixed-Pole Sum Rules

Journal Article · Thu Nov 15 00:00:00 EST 1973 · Physical Review. D, Particles Fields · OSTI ID:1442870

Brodsky, Stanley J.; Close, Francis E.; Gunion, J. F.

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Title: Bootstrap approach to scaling and fixed poles in virtual Compton amplitudes

Citation Formats

References (39)

Similar Records

Related Subjects