Electromagnetic mass splittings of π, [Formula presented] [Formula presented] [Formula presented] and [Formula presented]

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 56, Issue 7, 1997, Pages 4115-4132

  Gao, Dao Neng ^a   Li, Bing An ^b   Yan, Mu Lin ^c  

^a UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA   (China)

^b UNIVERSITY OF KENTUCKY   (United States)

^c CCAST WORLD LABORATORY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000011544     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.56.4115     Document Type: Article

References (54)

1. T. Das, G. Guralnik, V. Mathur, F. Low, and J. Young, Phys. Rev. Lett. 18, 759 (1967).
2. R. H. Socolow, Phys. Rev. 137, 1221 (1965);
3. I. S. Gerstein, B. W. Lee, H. T. Nieh, and H. J. Schnitzer, Phys. Rev. Lett. 19, 1064 (1967);
4. B. W. Lee and H. T. Nieh, Phys. Rev. 166, 1507 (1968);
5. A. Zee, Phys. Rep. 3, 127 (1972);
6. P. Langacker and H. Pagels, Phys. Rev. D 8, 4620 (1973);
7. N. Deshpande, D. Dicus, K. Johnson, and V. Teplitz, 15, 1885 (1977);
8. K. Maltman and D. Kotchan, Mod. Phys. Lett. A 5, 2457 (1990);
9. K. Maltman, T. Goldman, and G. L. Stephenson, Jr., Phys. Lett. B 234, 158 (1990);
10. V. Dmitrasinovic, H.-J. Schulze, R. Tegen, and R. H. Lemmer, Phys. Rev. D 52, 2855 (1995);
11. J. F. Donoghue and A. F. Perez, 55, 7075 (1997).
12. R. Dashen, Phys. Rev. 183, 1245 (1969).
13. J. Gasser and H. Leutwyler, Phys. Rep. 87, 77 (1982);
14. R. D. Peccei and J. Sola, Nucl. Phys. B281, 1 (1987);
15. T. N. Pham, Phys. Lett. B 374, 205 (1996).
16. J. F. Donoghue, B. R. Holstein, and D. Wyler, Phys. Rev. Lett. 69, 3444 (1992);
17. Phys. Rev. D 47, 2089 (1993).
18. J. Bijnens and E. de Rafael, Phys. Lett. B 273, 483 (1991);
19. W. A. Bardeen, J. Bijnens, and J.-M. Gerard, Phys. Rev. Lett. 62, 1343 (1989).
20. J. Bijnens and J. Prades, Nucl. Phys. B490, 239 (1997).
21. G. Ecker, J. Gasser, A. Pich, and E. de Rafael, Nucl. Phys. B321, 311 (1995).
22. R. Urech, Nucl. Phys. B433, 234 (1995);
23. R. Baur and R. Urech, Phys. Rev. D 53, 6552 (1996).
24. B. A. Li, Phys. Rev. D 52, 5165 (1995).
25. B. A. Li, Phys. Rev. D 52, 5184 (1995).
26. S. Weinberg, Physica A 96, 327 (1979);
27. J. Gasser and H. Leutwyler, Ann. Phys. (N.Y.) 158, 142 (1984); APNYA6
28. J. Gasser and H. Leutwyler, Nucl. Phys. B250, 465 (1985);
29. H. Leutwyler, Ann. Phys. (N.Y.) 235, 165 (1994).APNYA6
30. B. A. Li, Phys. Rev. D 55, 1425 (1997);
31. 55, 1436 (1997).
32. B. A. Li (unpublished).
33. J. F. Donoghue, C. Ramirez, and G. Valencia, Phys. Rev. D 39, 1947 (1989);
34. J. F. Donoghue and B. R. Holstein, 40, 238 (1989).
35. G. Ecker, J. Gasser, H. Leutwyler, A. Pich, and E. de Rafael, Phys. Lett. B 223, 425 (1989).
36. X. J. Wang and M. L. Yan (unpublished).
37. B. A. Li and M. L. Yan (unpublished).
38. J. J. Sakurai, Currents and Mesons (University of Chicago Press, Chicago, 1969).
39. J. J. Sakurai, Phys. Rev. Lett. 19, 803 (1967).
40. D. Ebert and H. Reinhardt, Nucl. Phys. B271, 188 (1986).
41. Particle Data Group, L. Montanet et al., Phys. Rev. D 50, 1173 (1994).
42. D. J. Gross, S. B. Treiman, and F. Wilczek, Phys. Rev. D 19, 2188 (1979).
43. D. Kaplan and A. Manohar, Phys. Rev. Lett. 56, 2004 (1986).
44. M. Gell-mann, R. J. Oakes, and B. Renner, Phys. Rev. 175, 2195 (1968).
45. B. A. Li (unpublished).
46. J. Schechter, A. Subbaraman, and H. Weigel, Phys. Rev. D 48, 339 (1993).
47. G. Leibbrandt, Rev. Mod. Phys. 47, 849 (1975); G. 't Hooft and M. Veltman (private communication).
48. J. Bijnens, Phys. Lett. B 306, 343 (1993).
49. J. Bijnens, J. Prades, and E. de Rafael, Phys. Lett. B 348, 226 (1995).
50. H. Leutwyler, Phys. Lett. B 378, 313 (1996).
51. A. Duncan, E. Eichten, and H. Thacker, Phys. Rev. Lett. 76, 3894 (1996).
52. M. Jamin and M. Münz, Z. Phys. C 66, 633 (1995); ZPCFD2
53. K. G. Chetyrkin, C. A. Dominguez, D. Pirjol, and K. Schicher, Phys. Rev. D 51, 5090 (1995).
54. J. F. Donoghue, E. Golowich, and B. R. Holstein, Dynamics of the Standard Model (Cambridge University Press, Cambridge, England, 1992), pp. 368–370.