Summary
Some well-known relations between forward-scattering amplitudes of mesons and baryons, originally derived from a quark model and the additivity assumption, are discussed in the framework of a Reggepole model with universal coupling of the trajectories. For the vector contributions the two models are completely equivalent and experimentally indistinguishable. Concerning the tensor trajectories, we investigate in particular their conjectured relation to the energy-momentum tensor. It is found that if there is any such relation, the tensor residues att=0 should be connected with definite pieces of the general (linear)SU 6 decomposition of meson and baryon masses.
Riassunto
Entro lo schema di un modello a poli di Regge con accoppiamento universale delle traiettorie, si discutono alcune ben note relazioni fra le ampiezze dello scattering in avanti dei mesoni e dei barioni, dedotte originariamente da un modello a quark e dall'ipotesi di additività. Per un contributo vettoriale i due modelli sono completamente equivalenti e sperimentalmente indistinguibili. Per quanto riguarda le traiettorie tensoriali, si studia in particolare la loro supposta relazione con il tensore energia-impulso. Si trova che se c'è una tale relazione, i residui tensoriali at=0 devono essere connessi con parti definite della decomposizioneSU 6 lineare generale delle masse barioniche e mesoniche.
Резюме
В рамках модели полюсов Редже с универсальной связью для траекторий обсуждаются некоторые хорошо известные соотношения между амплитудами рассеяния вперед мезонов и барионов, предварительно выведенные из модели кварков и предположения аддитивности. Для векторных вкладов эти две модели полностью эквивалентны и экспериментально неразличимы. Что касается тензорных траекторий, то, в частности, мы исследуем их предполагаемую связь с тензором энергии-импульса. Получается, что, если существует какое-либо соотношение, то тензорный вычет приt=0 должен быть связан с определенными частями общего (линейного)SU 6 разложения для мезонных и барионных масс.
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References
For a rather complete list of references, see,e.g.,W. Kummer:Fort. d. Phys.,14, 429 (1966);L. Van Hove:Lectures at Scottish Universities' Summer School, 1966; CERN preprint TH. 676.
See,e.g.,R. H. Dalitz:Symmetries and the strong interactions, inProceedings of the XIII International Conference on High Energy Physics, Berkeley, 1966;F. Scheck:Proceedings of the NATO Summer School, Istanbul, August 1966.
A. Bialas, A. Gula, B. Muryn andK. Zalewski: Series of preprints from Jagellonian University, Cracow.
J. J. J. Kokkedee andL. Van Hove:Nuovo Cimento,42 A, 711 (1966);J. J. J. Kokkedee:Phys. Lett.,22, 88 (1966).
P. G. O. Freund:Phys. Rev. Lett.,15, 929 (1965);Nuovo Cimento,43 A, 1171 (1966).
N. Cabibbo, L. Horwitz andY. Ne'eman:Phys. Lett.,22, 336 (1966);N. Cabibbo, J. J. J. Kokkedee, L. Horwitz andY. Ne'eman:Nuovo Cimento,45 A, 275 (1966).
C. A. Levinson, H. J. Lipkin andN. S. Wall:Phys. Rev. Lett.,17, 1122 (1966).
J. Daboul:Nuovo Cimento,50 A, 850 (1967).
C. P. Frahm, Y. Ne'eman andJ. Yellin:Proceedings of the IV Coral Gables Conference on Symmetry Principles, 1967.
R. Delbourgo, A. Salam andJ. Strathdee: Trieste preprint IC/66/115.
E. M. Levin andL. L. Frankfurt:JETP Lett.,2, 65 (1965);H. J. Lipkin andF. Scheck:Phys. Rev. Lett.,16, 71 (1966).
H. J. Lipkin:Zeits. Phys.,202, 345 (1967).
P. B. James andH. D. D. Watson:Phys. Rev. Lett.,18, 179 (1967).
W. Galbraith, E. W. Jenkins, T. F. Kycia, B. A. Leontić, R. H. Phillips;A. L. Read andR. Rubinstein:Phys. Rev.,138, B 913 (1965).
A. N. Diddens, E. W. Jenkins, T. F. Kycia andK. F. Riley:Phys. Rev. Lett.,10, 262 (1963).
K. J. Foley, R. S. Jones, S. J. Lindenbaum, W. A. Love, S. Ozaki, E. D. Platner, C. A. Quarles andE. H. Willen:Phys. Rev. Lett.,19, 330 (1967).
V. Barger andM. Olsson:Phys. Rev. Lett.,15, 930 (1965);16, 545 (1966);V. Barger andL. Durand III:Phys. Rev.,156, 1525 (1967).
V. Barger andM. Olsson:Phys. Rev.,146, 1080 (1966).
R. J. N. Phillips andW. Rarita:Phys. Rev.,139, B 1336 (1965).
A. Ahmadzadeh andE. Leader:Phys. Rev.,134, B 1058 (1964).
M. Gell-Mann:Phys. Rev. Lett.,8, 263 (1962);V. N. Gribov andI. Ia. Pomeranchuk;Phys. Rev. Lett.,8, 343, 412 (1962).
A. Ahmadzadeh andC. H. Chan:Phys. Lett.,22, 692 (1966);A. Ahmadzadeh:Phys. Rev. Lett.,16, 952 (1966).
A. Ahmadzadeh:Phys. Lett.,22, 96 (1966).
R. C. Arnold:Phys. Rev. Lett.,14, 657 (1965).
S. C. Frautschi, M. Gell-Mann andF. Zachariasen:Phys. Rev.,126, 2204 (1962).
J. J. Sakurai:Ann. Phys.,11, 1 (1960);M. Gell-Mann, D. Sharp andW. G. Wagner:Phys. Rev. Lett.,8, 261 (1962).
H. Joos:Lectures given at VI Internationale Universitätswochen für Kernphysik, Schladming 1967, DESY preprint 67/13.
S. Coleman:Phys. Rev.,159, 1251 (1967).
K. Hefft andB. Stech:Zeits. Phys.,202, 514 (1967).
H. Harari andM. A. Rashid:Phys. Rev.,143, 1354 (1966).
E. Lohrmann: Review paper presented at theTopical Conference on High-Energy Collisions of Hadrons, CERN, 1968.
These equalities are also indirectly tested by the calculation of the photoproduction of σ, ω and φ byH. Joos:Phys. Lett.,25 B, 193 (1967);K. Kajantie andJ. S. Trefil:Phys. Lett. 24 B, 106 (1967).
H. J. Lipkin: Rapporteur's talk at theHeidelberg International Conference on High Energy Physics, 1967.
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Scheck, F. Simple models for forward-scattering amplitudes of strongly interacting particles. Nuovo Cimento A (1965-1970) 57, 721–745 (1968). https://doi.org/10.1007/BF02751378
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DOI: https://doi.org/10.1007/BF02751378