Skip to main content
Log in

A study of the quark rearrangement model of nucleo-antinucleon annihilation

Изучение усоверщенствованной модели кварков для аннигиляции нуклона и антинуклона

  • Published:
Il Nuovo Cimento A (1965-1970)

Summary

A model of proton-antiproton annihilation via quark rearrangement suggested by Rubinstein and Stern is examined in detail. This model predicts that all final states are three-meson states, made from the set π, η, X, ρ, ω, and allows a computation of their relative rates. Its predictions are compared with experimental data at rest and at several energies in flight. The model is found not to be able to account for more than 25% of the annihilations at rest, event when maximum freedom is given to certain extra parameters. The model underestimates the importance of high-multiplicity states in annihilations, in flight and also fails to predict the more detailed features of these data. A number of interesting aspects of the data are uncovered and possible directions along which the model might be modified are suggested.

Riassunto

Si esamina in dettaglio un modello di annichilazione protone-antiprotone tramite il riordinamento di quark suggerito da Rubinstein e Stern. Questo modello predice che tutti gli stati finali sono stati di tre mesoni, composti dal gruppo π, ν, X, ρ, ω e permette il computo dei loro rapporti relativi. Se ne confrontano le predizioni con i dati sperimentali in quiete ed a parecchie energie in volo. Si trova che il modello non è in grado di render conto di più del 25% delle annichilazioni in quiete, anche quando si lascia la massima libertà ad alcuni parametri addizionali. Il modello sottovaluta l'importanza degli stati di elevata molteplicità nelle annichilazioni in volo e anche manca di predire le più dettagliate caratteristiche di questi dati. Si svela una quantità di aspetti interesanti dei dati e si suggeriscono le possibili direzioni in cui il modello potrebbe essere modificato.

Рзеюме

Подробно исследуется модель аннигиляции протона и антипротона через усовершенствованную модель кварков, предложенную Рубинштейном и Штерном. Эта модель предсказывает, что все конечные состояния являются трехмезонными состояниями, образованными из системы π, ν, X, ρ, ω, и делает возможным вычисление их относительных скоростей. Предсказания этой модели сравниваются с экспериментальными данными для аннитиляции в покое и для некоторых энергий на лету. Обнаружено, что эта модель не может объяснитя более чем 25% аннигиляций в покое, даже когда имеет максимум свободы для некоторых дополнителяных параметров. Эта модель недооценивает важности высокой множественности состояний при аннигиляции на лету и также не предсказывает более подробных особенностей экспериментальных данных. Обнаруживается ряд интересных особенностей для этих данных, и предлагаются возможые направления, где эта модель может быть видоизменена.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. H. R. Rubinstein andH. Stern:Phys. Lett.,21, 447 (1966), hereafter called RS.

    Article  ADS  Google Scholar 

  2. The predictions of the model for annihilations at rest are equivalent to those which follow from a model proposed byN. P. Chang andS. Shpiz:Phys. Rev. Lett.,14, 617 (1965) and byR. Delbourgo, Y. C. Leung, M. A. Rashid andJ. Strathdee:Phys. Rev. Lett.,14, 609 (1965), in the framework of aU 12 theory.

    Article  ADS  MathSciNet  Google Scholar 

  3. C. Baltay, P. Franzini, G. Lütjens, J. C. Severiens, D. Tycko andD. Zanello:Phys. Rev. 145, 1103 (1966).b)M. Cresti, A. Grigoletto, S. Limentani, A. Loria, L. Peruzzo, R. Santangelo, G. B. Chadwick, W. T. Davies, M. Derrick, C. J. B. Hawkins, P. M. D. Gray, J. H. Mulvey, P. B. Jones, D. Radojicic andC. A. Wilkinson:Proc. of the Sienna Conference on Elementary Particles (1963), p. 263. The two sets of results do not show any significant disparities. We consistently quote the figures fromBaltay et al. which are based on larger statistics.

    Article  ADS  Google Scholar 

  4. We consider results at three different laboratory moments:a) 3.3 GeV/c:C. Baltay, T. Ferbel, J. Sandweiss, M. D. Taft, B. B. Culwick, W. B. Fowler, M. Gailloud, J. Kopp, R. Louttit, T. Morris, J. Sandford, R. Shutt, D. Stonehill R. Stump, A. Thorndike, M. Webester, W. Willis, A. Backmann, P. Baumel andR. M. Lea:Nucleon Structure, Proc. of the International Conference at Stanford University, 1963; see alsoT. Ferbel:Ph. D. Thesis, Yale (1963) (unpublished).b) 5.7 GeV/c:K. Böckmann, B. Nellen, E. Paul, B. Wagini, I. Borecka, J. Diaz, U. Heeren, U. Liebermeister, E. Lohrmann, E. Raubold, P. Söding, S. Wolff, J. Kidd, L. Mandelli, L. Mosea, V. Pelosi, S. Ratti andL. Tallone:Nuovo Cimento,42 A, 954 (1966);A. Accensi, V. Alles-Borelli, B. French, A. Frisk, J. M. Howie, W. Krischer, L. Michejda, W. G. Moorhead, B. W. Powell, P. Seyboth, andP. Villemoes:Phys. Lett.,20, 557 (1966);V. Alles-Borelli,et al.: CERN TC preprint, August 1966.c) 7.0 GeV/c:T. Ferbel, A. Firestone, J. Johnson, J. Sandweiss andH. D. Taft:Nuovo Cimento,38, 12 (1965).

  5. E. M. Levin andL. L. Frankfurt:Žurn. Ėksp. Teor. Fiz. Pisma v Redak.,2, 105 (1965) (English translationSov. Phys. JETP Lett. 2, 65 (1965));H. J. Lipkin andF. Scheck:Phys. Rev. Lett.,16, 71 (1966).

    ADS  Google Scholar 

  6. C. Baltay, N. Barash, P. Franzini, N. Gelfand, L. Kirsch, G. Lütjens, D. Miller, J. C. Severiens, J. Steinberger, T. H. Tan, D. Tycko, D. Zanello, R. Goldberg andR. J. Plano:Phys. Rev. Lett.,15, 532, 537 (E) (1965);R. Armenteros, L. Montanet, D. R. O. Morrison, S. Nilsson, A. Shapira, J. Vandermeulen, Ch. d'Andlau, A. Astier, J. Ballam, C. Ghesquière, B. P. Gregory, D. Rahm, P. Rivet andF. Solmitz:Proc. of the International Conference on High-Energy Physics, CERN (Geneva, 1962), p. 351.

    Article  ADS  Google Scholar 

  7. B. R. Desai:Phys. Rev.,119, 1390 (1960).

    Article  ADS  Google Scholar 

  8. We are grateful to Prof.G. A. Snow for a discussion of these points.

  9. A simple example will illustrate the distinction. Suppose a model allowed only the 3π singlet decay and the ρπп triplet decay, with a unit Clebsch-Gordan coefficient in each case. The RS procedure would give a ρππ branching fraction (the ratio of πππ phase space to ρππ phase space is 2.8 to 1) of (3×1)/(3×1+1×2.8)=52%. The procedure we prefer would force the ρππ branching fraction to be 75%.

  10. We thank Dr.K. Zalewski for pointing out the existence of this unitarity bound.

  11. C. Baltay, P. Franzini, N. Gelfand, G. Lütjens, J. C. Severiens, J. Steinberger, D. Tycko andD. Zanello:Phys. Rev.,140, B 1039 (1965).

    Article  ADS  Google Scholar 

  12. F. Cerulus:Suppl. Nuovo Cimento,15, 402 (1960), Table XI.

    Article  ADS  MathSciNet  Google Scholar 

  13. A. Pais:Ann. of Phys.,9, 548 (1960), Table III.

    Article  ADS  MathSciNet  Google Scholar 

  14. As long as such spin-orbit coupling is absent, the quark rearrangement model is quite compatible with the nonisotropic production observed in annihilations in flight.

  15. We have three more categories than in the analysis at rest because we divide the now plentiful six-prong events into three categories according to the value of the missing mass and add a category for the eight-prong events as well.

  16. G. Chikovani, L. Dubal, M. N. Focacci, W. Kienzle, B. Levrat, B. C. Maglić, M. Martin, C. Nef, P. Schübelin andJ. Seguinot:Phys. Lett.,22, 233 (1966).

    Article  ADS  Google Scholar 

  17. B. French:CERN Seminar, August 1966. Indications of the T-meson described in ref. (19) were reported.

  18. J. McConnell andJ. Shapiro:Nuovo Cimento,28, 1272 (1963).

    Article  Google Scholar 

  19. S. Goldhaber, G. Goldhaber, W. M. Powell andR. Silberberg:Phys. Rev.,121, 1525 (1961).

    Article  ADS  Google Scholar 

  20. G. R. Lynch:Rev. Mod. Phys.,33, 395 (1961).

    Article  ADS  Google Scholar 

  21. The state obtained in this way must haveI=1/2, because the symmetrization leads us to a member of the 20-representation ofSU 4, which contains only two particles, one withS=I=3/2, the other withS=I=1/2.

Download references

Author information

Authors and Affiliations

Authors

Additional information

Traduzione a cura della Redazione.

Переведеио редакиией.

A summary of some of our results has been presented elsewhere, in collaboration withK. Zalewski (CERN preprint, TH. 701).

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Harte, J., Socolow, R.H. & Vandermeulen, J. A study of the quark rearrangement model of nucleo-antinucleon annihilation. Nuovo Cimento A (1965-1970) 49, 555–576 (1967). https://doi.org/10.1007/BF02747830

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02747830

Keywords

Navigation