- Physical Review Journals
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Physical Review D

Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Proton-Neutron Mass Difference in Configuration Space

Wing-chiu Ng

Patrizio Vinciarelli

  • New York University, Department of Physics, New York, New York 10012

  • New York University, Department of Physics, New York, New York 10012
  • Center for Theoretical Physics, Department of Physics and Astronomy, University of Maryland, College Park, Maryland 20742

PDF

Phys. Rev. D 5, 2566 – Published 15 May, 1972

DOI: https://doi.org/10.1103/PhysRevD.5.2566

Abstract

We argue that the canonical structure of light-cone singularities should break down at distances of the order of 10−16 cm. We propose that this be the separation from the light cone of the boundary of a region where configuration-space structure functions effectively lose their x2 dependence. A new formula for the proton-neutron mass difference is derived as a limit of configuration-space invariant amplitudes. The above conjecture is then used for a numerical estimate which happens to be in excellent agreement with the experimental value. Finally we exhibit bilocal operators in the quark-gluon model responsible for divergences in ΔI=1 electromagnetic mass shifts.

View figure in article

References (27)

  1. J. D. Bjorken, Phys. Rev. 179, 1547 (1969)
  2. R. A. Brandt and G. Preparata, in Proceedings of the 1971 Hamburg Summer School, Springer Tracts in Modern Physics (to be published)
  3. R. P. Feynman, Phys. Rev. Letters 23, 1415 (1969)
  4. R. A. Brandt and P. Vinciarelli, Lett. Nuovo Cimento 3, 254 (1972)

  5. Omitted endnote

  6. Omitted endnote

  7. K. G. Wilson, Phys. Rev. 179, 1499 (1969) R. A. Brandt and G. Preparata, Nucl. Phys. B27, 541 (1971) Y. Frishman, Phys. Rev. Letters 25, 966 (1970)
  8. K. G. Wilson, in Proceedings of the International Symposium on Electron and Photon Interactions at High Energies, 1971, edited by N. B. Mistry (Cornell Univ. Press, Ithaca, N.Y., 1972)
  9. Nonpolynomial Lagrangians, Renormalization and Gravity, 1971 Coral Gables Conference on Fundamental Interactions at High Energy (Gordon and Breach, New York, 1971), Vol. 1
  10. C. J. Isham, A. Salam, and J. Strathdee, Phys. Rev. D 3, 867 (1971) ibid.3, 1805 (1971) A. Salam, in Proceedings of the 1971 Varenna Summer School, Varenna, Italy (unpublished)
  11. W. K. Chan and J. Curiale, Nuovo Cimento 8A, 29 (1972) W.-c. Ng and W. K. Chan, 8A, 39 (1972)
  12. A. Zee, IAS report (to be published)
  13. S. Deser, W. Gilbert, and E. C. G. Sudarshan, Phys. Rev. 115, 731 (1959) M. Ida, Progr. Theoret. Phys. (Kyoto) 23, 1151 (1960)
  14. C. G. Callan and D. J. Gross, Phys. Rev. Letters 22, 156 (1969)
  15. T. Appelquist and J. D. Bjorken, Phys. Rev. D 4, 3726 (1971)
  16. [9]
  17. E. C. G. Stückelberg, Helv. Phys. Acta 11, 299 (1938)
  18. S. Okubo, Progr. Theoret. Phys. (Kyoto) 11, 80 (1954) D. I. Fivel and P. K. Mitter, Phys. Rev. D 1, 3270 (1970) P. Budini and G. Calucci, Nuovo Cimento 70A, 419 (1970)
  19. H. Pagels, Phys. Rev. D 3, 610 (1971) ibid.4, 1932 (1971)
  20. T. D. Lee, talk given at the Amsterdam Conference, 1971 (unpublished)
  21. R. A. Brandt, M. Breidenbach, and P. Vinciarelli (unpublished)
  22. The Green Book, Particle Properties April 1971, Lawrence Radiation Laboratory, Berkeley, Calif., 1971
  23. M. Cini, E. Ferrari, and R. Gatto, Phys. Rev. Letters 2, 7 (1959) Riazuddin, Phys. Rev. 114, 1184 (1959)
  24. R. A. Brandt, W.-c. Ng, and P. Vinciarelli (unpublished)
  25. J. B. Kogut and D. E. Soper, Phys. Rev. D 1, 2901 (1970) J. M. Cornwall and R. Jackiw, ibid. 4, 367 (1971)
  26. S. Coleman and S. Glashow, Phys. Rev. 134, B671 (1964) S. Coleman and H. Schnitzer, ibid. 136, B223 (1964)
  27. J. D. Bjorken, Phys. Rev. 148, 1467 (1966)

Outline

Information

Phys. Rev. D 5, 2566– Published 15 May, 1972
  • Received 20 December 1971

© 1972 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation