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Quark model and the magnetic moments of proton and neutron

Модель кварков и магинтные моменты протона и нейтрона


It is shown that in order to obtain agreement with experiment for the ratio of the proton to neutron magnetic moment within the framework of the nonrelativistic quark model, the nucleon wave functions must contain orbital angular momentum. Any departure fromSU 6-invariant wave functions for proton and neutron not containing orbital angular momentum only enlarges the disagreement with experiment.


Si dimostra che per ottenere l’accordo con i dati sperimentali per il rapporto del momento magnetico del protone e del neutrone nel quadro del modello a quark non relativistico, le funzioni d’onda del nucleone debbono contenere il momento angolare orbitale. Qualsiasi abbandono delle funzioni d’onda per il protone e il neutrone invarianti rispetto all’SU 6 che non contengano termini nel momento angolare orbitale non fa che aumentare il disaccordo con i dati sperimentali.


Показывается, что для получения согласия с экспериментом для отношения магнитного момента протона к магнитному моменту нейтрона в рамках нерелятивистской модели кварков нуклонные функции должны содержать орбитальный момент. Любое отступление отSU 6-инвариантных волновых фуикций для протона и нейтрона, не содержащее орбитального момента, только увеличивает расхождение с экспериментом.

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  1. G. Morpurgo:Physics,2, 95 (1965);C. Becchi andG. Morpurgo:Phys. Rev.,140, B 687 (1965).

    Google Scholar 

  2. R. H. Dalitz:Proc. Oxford Intl. Conf. on Elementary Particles, 1965. Rutherford High Energy Laboratory, 1966.

  3. M. A. Beg, B. W. Lee andA. Pais:Phys. Rev. Lett.,13, 514 (1964).

    ADS  Article  Google Scholar 

  4. M. Y. Han andY. Nambu:Phys. Rev.,139, B 1006 (1965).

    ADS  MathSciNet  Article  Google Scholar 

  5. N. Cabibbo, L. Maiani andG. Preparata:Phys. Lett.,25 B, 132 (1967).

    ADS  Article  Google Scholar 

  6. O. W. Greenberg:Phys. Rev. Lett.,13, 598 (1964).

    ADS  Article  Google Scholar 

  7. J. Franklin:Phys. Rev.,172, 1807 (1968).

    ADS  Article  Google Scholar 

  8. A. Pais:Rev. Mod. Phys. 38, 215 (1966).

    ADS  Article  Google Scholar 

  9. P. D. De Souza andD. B. Lichtenberg:Phys. Rev.,161, 1513 (1967).

    ADS  Article  Google Scholar 

  10. This well-known fact was kindly pointed out to us byH. Harari (private communication).

  11. A. I. Akhizer andM. P. Rekalo:JETP Lett.,1, 29 (1965).

    ADS  Google Scholar 

  12. P. N. Bogoliubov: preprint Dubna P2-3115 (1967);E. E. Radescu:Nuovo Cimento,52 A, 1324 (1967).

  13. E. Gerjuoy andJ. Schwinger:Phys. Rev.,61, 138 (1942).

    ADS  Article  Google Scholar 

  14. R. G. Sachs:Nuclear Theory (Cambridge, 1963), p. 180.

  15. G. Derrick andJ. M. Blatt:Nucl. Phys.,8, 310 (1958).

    Article  Google Scholar 

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Research sponsored by the Air Force Office of Scientific Research, Office of Aerospace Research, United States Air Force, under AFOSR grant number EOOAR-68-0010, through the European Office of Aerospace Research.

Traduzione a cura della Redazione.

Перевебено ребакцией.

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Gell, Y., Lichtenberg, D.B. Quark model and the magnetic moments of proton and neutron. Nuovo Cimento A (1965-1970) 61, 27–40 (1969).

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  • Wave Function
  • Quark Model
  • Orbital Angular Momentum
  • Nucleon Wave Function
  • Nonrelativistic Quark Model