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Neutral pion lifetime measurements and the QCD chiral anomaly

A. M. Bernstein and Barry R. Holstein

A. M. Bernstein

  • Physics Department Laboratory for Nuclear Science, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 USA

Barry R. Holstein

  • Department of Physics LGRT, University of Massachusetts, Amherst, Massachusetts 01003 USA

Rev. Mod. Phys. 85, 49 – Published 9 January, 2013

DOI: https://doi.org/10.1103/RevModPhys.85.49

Abstract

A fundamental property of QCD is the presence of the chiral anomaly, which is the dominant component of the π0γγ decay rate. Based on this anomaly and its small (4.5%) chiral correction, a prediction of the π0 lifetime can be used as a test of QCD at confinement scale energies. The interesting experimental and theoretical histories of the π0 meson are reviewed, from discovery to the present era. Experimental results are in agreement with the theoretical prediction, within the current (3%) experimental error; however, they are not yet sufficiently precise to test the chiral corrected result, which is a firm QCD prediction and is known to 1% uncertainty. At this level there exist experimental inconsistencies, which require attention. Possible future work to improve the present precision is suggested.

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References (115)

  1. Abouzaid, E., et al. (KTeV Collaboration), 2008, Phys. Rev. Lett. 100, 182001.
  2. Adler, S. L., 1969, Phys. Rev. 177, 2426.
  3. Adler, S. L., and W. A. Bardeen, 1969, Phys. Rev. 182, 1517.
  4. Ametller, L., J. Bijnens, A. Bramon, and F. Cornet, 1992, Phys. Rev. D 45, 986.
  5. Ametller, L., M. Knecht, and P. Talavera, 2001, Phys. Rev. D 64, 094009.
  6. Anand, B., 1953, Proc. R. Soc. A 220, 183.
  7. Ananthanarayan, B., and B. Moussallam, 2002, J. High Energy Phys. 05, 052.
  8. Antipov, Y., et al., 1986, Phys. Rev. Lett. 56, 796.
  9. Antipov, Y., et al., 1987, Phys. Rev. D 36, 21.
  10. Arguin, J., 2011 (private communication).
  11. Atherton, H. W., et al., 1985, Phys. Lett. 158B, 81.
  12. Babusci, D., et al. (KLOE-2 Collaboration), 2012, Eur. Phys. J. C 72, 1917.
  13. Bär, O., and U. Wiese, 2001, Nucl. Phys. B609, 225.
  14. Bardeen, W. A., 1969, Phys. Rev. 184, 1848.
  15. Behrend, H., et al. (CELLO Collaboration), 1991, Z. Phys. C 49, 401.
  16. Bell, J., and R. Jackiw, 1969, Nuovo Cimento A 60, 47.
  17. Bellettini, G., et al., 1965, Nuovo Cimento A 40, 1139.
  18. Bellettini, G., et al., 1970, Nuovo Cimento A 66, 243.
  19. Bernstein, A., 2009, Pro. Sci. CD09, 035.
  20. Beringer, J., et al. (Particle Data Group), 2012, Phys. Rev. D 86, 010001.
  21. Bjorken, J. D., and S. D. Drell, 1965, Relativistic Quantum Fields (McGraw-Hill, New York).
  22. Bjorklund, R., W. E. Crandall, B. J. Moyer, and H. F. York, 1950, Phys. Rev. 77, 213.
  23. Blackie, R. F., A. Engler, and J. H. Mulvey, 1960, Phys. Rev. Lett. 5, 384.
  24. Browman, A., et al., 1974a, Phys. Rev. Lett. 33, 1400.
  25. Browman, A., et al., 1974b, Phys. Rev. Lett. 32, 1067.
  26. Burkardt, M., V. Papavassiliou, S. Pate, and J. Goity, 1997, Proceedings of the International Workshop, Las Cruces, NM, March, 1996 (World Scientific, Singapore).
  27. Bychkov, M., et al., 2009, Phys. Rev. Lett. 103, 051802.
  28. Carlson, A., J. Hooper, and D. King, 1950, Philos. Mag. 41, 701.
  29. Christ, N., et al., 2010, Phys. Rev. Lett. 105, 241601.
  30. Czyz, H., and S. Ivashyn, 2012, arXiv:1202.1654.
  31. Dalitz, R. H., 1951, Proc. Phys. Soc. London Sect. A 64, 667.
  32. Denig, A., 2011 (private communication).
  33. Donoghue, J., E. Golowich, and B. R. Holstein, 1992, Dynamics of the Standard Model (Cambridge University Press, Cambridge).
  34. Donoghue, J., B. R. Holstein, and Y. Lin, 1985, Phys. Rev. Lett. 55, 2766.
  35. Donoghue, J. F., E. Golowich, and B. R. Holstein, 1984, Phys. Rev. D 30, 587.
  36. Donoghue, J. F., and B. R. Holstein, 1989, Phys. Rev. D 40, 2378.
  37. Drees, R. M., et al. (SINDRUM I Collaboration), 1992, Phys. Rev. D 45, 1439.
  38. Fäldt, G., 1972, Nucl. Phys. B43, 591.
  39. Farzanpay, F., et al., 1992, Phys. Lett. B 278, 413.
  40. Friedrich, J., 2011 (private communication).
  41. Fujikawa, K., 1980, Phys. Rev. Lett. 44, 1733.
  42. Fukuda, H., and Y. Miyamoto, 1949, Prog. Theor. Phys. 4, 235.
  43. Fukuda, H., and Y. Miyamoto, 1949, Prog. Theor. Phys. 4, 347.
  44. Gasparian, A., et al., 2010, JLab Exp. E12-10-011.
  45. Gasser, J., and H. Leutwyler, 1984, Ann. Phys. (N.Y.) 158, 142.
  46. Gasser, J., and H. Leutwyler, 1985, Nucl. Phys. B250, 465.
  47. Gerard, J., and T. Lahna, 1995, Phys. Lett. B 356, 381.
  48. Gevorkyan, S., A. Gasparian, L. Gan, I. Larin, and M. Khandaker, 2009, Phys. Rev. C 80, 055201.
  49. Gevorkyan, S., A. Gasparian, L. Gan, I. Larin, and M. Khandaker, 2012, Particles and Nuclei Letters 9, 35.
  50. Glasser, R. G., N. Seeman, and B. Stiller, 1961, Phys. Rev. 123, 1014.
  51. Goity, J., A. Bernstein, and B. Holstein, 2002, Phys. Rev. D 66, 076014.
  52. Goldberger, M., and S. Treiman, 1958, Phys. Rev. 110, 1178.
  53. Goldstone, J., 1961, Nuovo Cimento 19, 154.
  54. Gourdin, M., 1971, Nucl. Phys. B32, 415.
  55. Gross, D. J., 2005, Rev. Mod. Phys. 77, 837.
  56. Gupta, S., 1953, Proc. Phys. Soc. London Sect. A 66, 129.
  57. Hadjimichael, E., and S. Fallieros, 1989, Phys. Rev. C 39, 1438.
  58. Harris, G., J. Orear, and S. Taylor, 1957, Phys. Rev. 106, 327.
  59. Holstein, B. R., 1996, Phys. Rev. D 53, 4099.
  60. Ioffe, B., and A. Oganesian, 2007, Phys. Lett. B 647, 389.
  61. Jackiw, R., 1986, Helv. Phys. Acta 59, 835.
  62. Kampf, K., M. Knecht, and J. Novotny, 2006, Eur. Phys. J. C 46, 191.
  63. Kampf, K., and B. Moussallam, 2009, Phys. Rev. D 79, 076005.
  64. Kaskulov, M. M., and U. Mosel, 2011, arXiv:1103.2097.
  65. Kryshkin, V., et al., 1970, Sov. Phys. JETP 30, 1037.
  66. Laget, J., 2005, Phys. Rev. C 72, 022202.
  67. Larin, I., et al. (PrimEx Collaboration), 2011, Phys. Rev. Lett. 106, 162303.
  68. Lattes, C. M. G., H. Muirhead, G. P. S. Occhialini, and C. F. Powell, 1947, Nature (London) 159, 694.
  69. Leutwyler, H., 1996, Phys. Lett. B 378, 313.
  70. Leutwyler, H., 2009, Proc. Sci., CD09, 005.
  71. Lord, J. J., J. Fainberg, D. M. Haskin, and M. Schein, 1952, Phys. Rev. 87, 538.
  72. Lord, J. J., J. Fainberg, and M. Schein, 1950, Phys. Rev. 80, 970.
  73. Manohar, A., and H. Georgi, 1984, Nucl. Phys. B234, 189.
  74. Martel, P., et al., 2009, Nucl. Instrum. Methods Phys. Res., Sect. A 612, 46.
  75. McNulty, D., 2011 (private communication).
  76. Milliken, B. C., 1985, Ph. D. dissertation (University of Chicago, Enrico Fermi Institute) (unpublished).
  77. Miskimen, R., 2011, Annu. Rev. Nucl. Part. Sci. 61, 1.
  78. Morpurgo, G., 1964, Nuovo Cimento 31, 569.
  79. Mozley, R., 1950, Phys. Rev. 80, 493.
  80. Mueller, A. H., 1990, Phys. Lett. B 234, 517.
  81. Nakamura, K., et al. (Particle Data Group), 2010, J. Phys. G 37, 075021.
  82. Nambu, Y., 2009, Int. J. Mod. Phys. A 24, 2371.
  83. Panofsky, W., J. Steinberger, and J. Steller, 1952, Phys. Rev. 86, 180.
  84. Panofsky, W. K. H., L. Aamodt, J. Hadley, and R. Phillips, 1950, Phys. Rev. 80, 94.
  85. Panofsky, W. K. H., R. L. Aamodt, and J. Hadley, 1951, Phys. Rev. 81, 565.
  86. Particle Data Group online, 2011, pdg.lbl.gov.
  87. Pauli, W., and F. Villars, 1949, Rev. Mod. Phys. 21, 434.
  88. Perkins, D., 1955, Philos. Mag. 46, 1146.
  89. Perkins, D., 1982, Introduction to High Energy Physics (Addison-Wesley, Reading, MA).
  90. Plano, R., A. Prodell, N. Samios, M. Schwartz, and J. Steinberger, 1959, Phys. Rev. Lett. 3, 525.
  91. Primakoff, H., 1951, Phys. Rev. 81, 899.
  92. PrimEx Collaboration, 2011, http://www.jlab.org/primex.
  93. Rodrigues, T. E., J. D. T. Arruda-Neto, J. Mesa, C. Garcia, K. Shtejer, D. Dale, I. Nakagawa, and P. L. Cole, 2008, Phys. Rev. Lett. 101, 012301.
  94. Rodrigues, T. E., et al., 2010, Phys. Rev. C 82, 024608.
  95. Schwinger, J. S., 1951, Phys. Rev. 82, 664.
  96. Shwe, H., F. M. Smith, and W. H. Barkas, 1962, Phys. Rev. 125, 1024.
  97. Sibirtsev, A., J. Haidenbauer, S. Krewald, U. Meissner, and A. Thomas, 2009, Eur. Phys. J. A 41, 71.
  98. Steinberger, J., 1949, Phys. Rev. 76, 1180.
  99. Steinberger, J., W. K. H. Panofsky, and J. Steller, 1950, Phys. Rev. 78, 802.
  100. Sutherland, D., 1967, Nucl. Phys. B2, 433.
  101. Tietge, J., and W. Püschel, 1962, Phys. Rev. 127, 1324.
  102. Tomonaga, S.-I., and J. R. Oppenheimer, 1948, Phys. Rev. 74, 224.
  103. Treiman, S., E. Witten, R. Jackiw, and B. Zumino, 1986, Current Algebra and Anomalies (World Scientific, Singapore).
  104. Unterdorfer, R., and H. Pichl, 2008, Eur. Phys. J. C 55, 273.
  105. Urech, R., 1995, Nucl. Phys. B433, 234.
  106. Veltman, M., 1967, Proc. R. Soc. Edinburgh, Sect. A 301, 107.
  107. Venugopal, E., and B. R. Holstein, 1998, Phys. Rev. D 57, 4397.
  108. von Dardel, C., et al., 1963, Phys. Lett. 4, 51.
  109. Weinberg, S., 1979, Physica (Amsterdam) 96A, 327.
  110. Wess, J., and B. Zumino, 1971, Phys. Lett. 37B, 95.
  111. Widom, A., and Y. Srivastava, 1988, Am. J. Phys. 56, 824.
  112. Wilczek, F., 2005, Rev. Mod. Phys. 77, 857.
  113. Williams, D., et al. (Crystal Ball Collaboration), 1988, Phys. Rev. D 38, 1365.
  114. Witten, E., 1983, Nucl. Phys. B223, 433.
  115. Yukawa, H., 1935, Proc. Phys. Math. Soc. Jap. 17, 48.

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