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