Skip to main content

Bag models and nuclear forces

  • Chapter
  • First Online:
Quarks and Nuclear Forces

Part of the book series: Springer Tracts in Modern Physics ((STMP,volume 100))

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

Access this chapter

eBook
USD 16.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 16.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. R. L. Jaffe, “The Bag,” lectures presented at the 1979 Erice Summer School “Ettore Majorana.”

    Google Scholar 

  2. R. L. Jaffe, “Applications of the Bag Model,” Acta Physica Austriaca, Suppl. 22, 269 (1980).

    Google Scholar 

  3. C. DeTar, “The MIT Bag Model,” in Quantum Flavordynamics, Quantum Chromodynamics, and Unified Theories, K. T. Mahantbappa and J. Randa, Eds., Plenum Press (1979), p. 393.

    Google Scholar 

  4. K. Johnson, Phys. Letts. 78B, 259 (1978). In this reference only Γ=1 is considered. The generalization to Γ of the form in Eq. (6) was discussed by Jaffe in Reference 1 in connection with other formulations of the bag model.

    Article  ADS  Google Scholar 

  5. J. D. Bjorken and S. D. Drell, Relativistic Quantum Mechanics, McGraw-Hill (1964).

    Google Scholar 

  6. E. V. Shuryak, Phys. Letts. 93B, 134 (1980).

    Article  ADS  Google Scholar 

  7. C. Rebbi, Phys. Rev. D12, 2407 (1975).

    ADS  Google Scholar 

  8. C. Rebbi, Phys. Rev. D14, 2362 (1976).

    ADS  MathSciNet  Google Scholar 

  9. T. DeGrand and C. Rebbi, Phys. Rev. D17, 2358 (1978).

    ADS  Google Scholar 

  10. A. Chodos, R. L. Jaffe, K. Johnson, and C. B. Thorn, Phys. Rev. D10, 2599 (1974).

    ADS  Google Scholar 

  11. A. Chodos, R. L. Jaffe, K. Johnson, C. B. Thorn, and V. F. Weisskopf, Phys. Rev. D9, 3471 (1974).

    ADS  Google Scholar 

  12. T. De Grand, R. L. Jaffe, K. Johnson, and J. Kiskis, Phys. Rev. D12, 2060 (1975).

    ADS  Google Scholar 

  13. S. A. Chin, A. K. Kerman, and X. H. Yang, “Many-body theory of confined quarks and gluons-calculation of self and exchange energies,” MIT-CTP #919.

    Google Scholar 

  14. This problem has been examined by K. A. Milton, Phys. Rev. D22, 1441 and 1444 (1980). His calculated value, Z0) ∼ − 0.26, has the opposite sign and a smaller magnitude than the fitted value from Reference 12. But there are serious questions about the renormalization procedure and the accuracy of the calculation.

    ADS  Google Scholar 

  15. R. E. Peierls and J. Yoccoz, Proc. Phys. Soc. (London) A70, 381 (1957).

    Article  ADS  Google Scholar 

  16. R. E. Peierls and D. J. Thouless, Nucl. Phys. 38, 154 (1962).

    Article  Google Scholar 

  17. R. W. Haymaker and T. Goldman, Phys. Rev. 24D, 743 (1981).

    ADS  Google Scholar 

  18. P. Hasenfratz, J. Kuti, and A. S. Szalay, in Charm, Color, and the J/ψ, proceedings of the X Rencontre de Moriond, Méribel-les-Allues, France, 1975, edited by J. Trân Thanh Vân (CNRS, Paris, 1975). This work is also summarized in a review article, P. Hasenfratz and J. Kuti, Phys. Rep. 40C, 75 (1978).

    Google Scholar 

  19. K. Berkelman, in High Energy Physics-1980, proceedings of the XX International Conference, Madison, Wisconsin, edited by L. Durand and L. G. Pondrom (AIP, New York, 1981), p. 1499.

    Google Scholar 

  20. L. Heller and K. Johnson, Phys. Lett. 84B, 501 (1979).

    Article  ADS  Google Scholar 

  21. See, for example, D. Husenmoller, Fibre Bundles (Springer, New York, 1966), Chap. 11.

    Book  Google Scholar 

  22. K. Johnson, in Current Trends in the Theory of Fields, proceedings of the Symposium, Tallahassee, 1978, edited by J. E. Lanutti and P. K. Williams (AIP, New York, 1978), p. 112.

    Google Scholar 

  23. A. T. Aerts and L. Heller, Phys. Rev. D23, 185 (1981).

    ADS  Google Scholar 

  24. P. Hasenfratz, R. R. Horgan, J. Kuti and J. M. Richard, Phys. Letts. 94B, 401 (1980).

    Article  ADS  Google Scholar 

  25. P. Hasenfratz, R. R. Horgan, J. Kuti and J. M. Richard, Phys. Letts. 95B, 299 (1980).

    Article  ADS  Google Scholar 

  26. See, for example, J. D. Jackson, Classical Electrodynamics (Wiley, New York, 1975).

    MATH  Google Scholar 

  27. A. T. Aerts and L. Heller, “The Spectroscopy of the Three-Heavy-Quark System,” Los Alamos preprint LA-UR-81-1775.

    Google Scholar 

  28. W. C. Haxton and L. Heller, Phys. Rev. D22, 1198 (1980).

    ADS  Google Scholar 

  29. R. Giles, Phys. Rev. D18, 513 (1978).

    ADS  Google Scholar 

  30. See, for example, the discussion in T. Appelquist, R. M. Barnett, and K. Lane, Annu. Rev. Nucl. Part. Sci., 28, 387 (1978).

    Article  ADS  Google Scholar 

  31. T. Appelquist and J. Carazzone, Phys. Rev. D11, 2856 (1975).

    ADS  Google Scholar 

  32. J. F. Donoghue and K. Johnson, Phys. Rev. D21, 1975 (1980). In this reference it is estimated that only ∼ 1 out of the 1.84 should be assigned to the zero-point energy, the rest arising from the violation of translation invariance.

    ADS  Google Scholar 

  33. Particle Data Group, Rev. Mod. Phys. 52, No.2, Part 11 (1980).

    Google Scholar 

  34. R. L. Jaffe and J. Kiskis, Phys. Rev. D13, 1355 (1976).

    ADS  Google Scholar 

  35. N. Isgur, “Soft QCD: Low Energy Hadron Physics with Chromodynamics,” in The New Aspects of Subnuclear Physics, edited by A. Zichichi, Plenum Press (1980), p. 107.

    Google Scholar 

  36. My colleague D. A. Liberman began this approach in Phys. Rev. D16, 1542 (1977).

    ADS  Google Scholar 

  37. M. B. Gavela, A. Le Yaouanc, L. Oliver, O. Pène, J. C. Raynal, and S. Sood, Phys. Letts. 82B, 431 (1979).

    Article  ADS  Google Scholar 

  38. H. Feshbach, Ann. Phys. 19, 287 (1962).

    Article  ADS  MathSciNet  Google Scholar 

  39. R. K. Bharduri, L. E. Cohler, and Y. Nogami, Phys. Rev. Lett. 44,]369 (1980).

    ADS  Google Scholar 

  40. D. P. Stanley and D. Robson, Phys. Rev. Lett. 45, 235 (1980).

    Article  ADS  Google Scholar 

  41. G. Feinberg and J. Sucher, Phys. Rev. D20, 1717 (1979).

    ADS  Google Scholar 

  42. D. R. Long, Phys. Rev. D9, 850 (1974).

    ADS  Google Scholar 

  43. D. R. Long, Nature 260, 417 (1976).

    Article  ADS  Google Scholar 

  44. R. Spero, J. K. Hoskins, R. Newman, J. Pellam, and J. Schultz, Phys. Rev. Lett. 44, 1645 (1980).

    Article  ADS  Google Scholar 

  45. G. E. Brown, “Nucleon-Nucleon Forces from Bags, Quarks, and Boson-Exchange” unpublished lectures.

    Google Scholar 

  46. For a recent discussion of this question, see the talk by K. Johnson presented at the “9th International Conference on High Energy Physics and Nuclear Structure,” Versailles, July 6–10, 1981; and private communication.

    Google Scholar 

  47. J.-P. Ader, J.-M. Richard, and P. Taxil, “Do Heavy Multiquark States Exist?”, TH.3101-CERN.

    Google Scholar 

  48. C. De Tar, Phys. Rev. D17, 302 (1978).

    ADS  Google Scholar 

  49. C. De Tar, Phys. Rev. D17, 323 (1978).

    ADS  Google Scholar 

  50. J. J. Griffin and J. A. Wheeler, Phys. Rev. 108, 311 (1957).

    Article  ADS  Google Scholar 

  51. R. L. Jaffe and F. E. Low, Phys. Rev. D19, 2105 (1979).

    ADS  Google Scholar 

  52. E. P. Wigner and L. Eisenbud, Phys. Rev. 72, 29 (1947).

    Article  ADS  Google Scholar 

  53. A. M. Lane and R. G. Thomas, Revs. Mod. Phys. 30, 257 (1958).

    Article  ADS  Google Scholar 

  54. G. Goertzel, Phys. Rev. 73, 1463 (1948).

    Article  ADS  Google Scholar 

  55. R. L. Jaffe, Phys. Rev. D15, 267, 281 (1977).

    ADS  Google Scholar 

  56. C. Roiesnel, Phys. Rev. D20, 1646 (1979).

    ADS  Google Scholar 

  57. P. J. Mulders, “The Quark Structure of the A (1405) Resonance,” in the Proceedings of the Workshop on Nuclear and Particle Physics at Energies up to 31 GeV: New and Future Aspects, Los Alamos, Jan. 5–8, 1981, edited by J. D. Bowman, L. S. Kisslinger, and R. R. Silbar, p. 388.

    Google Scholar 

  58. P. J. Mulders, “Resonances in Baryon-Baryon and Pion-Deuteron Scattering,” Los Alamos preprint LA-UR-81-2397.

    Google Scholar 

  59. E. Lomon, “Joining the Quark and Hadron Exchange Descriptions of Strong Interactions,” in the Proceedings of the workshop cited in [57], p. 400.

    Google Scholar 

  60. Private communication from E. Lomon.

    Google Scholar 

  61. O. W. Greenberg and H. J. Lipkin, “The Potential Model of Colored Quarks: Success for Single Hadron States, Failure for Hadron-Hadron Interactions,” FERMILAB-Pub-81/45-THY.

    Google Scholar 

Download references

Authors

Editor information

Dietrich C. Fries Bernhard Zeitnitz

Rights and permissions

Reprints and permissions

Copyright information

© 1982 Springer-Verlag

About this chapter

Cite this chapter

Heller, L. (1982). Bag models and nuclear forces. In: Fries, D.C., Zeitnitz, B. (eds) Quarks and Nuclear Forces. Springer Tracts in Modern Physics, vol 100. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0041443

Download citation

  • DOI: https://doi.org/10.1007/BFb0041443

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11717-9

  • Online ISBN: 978-3-540-39471-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics