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Research PapersNo Access

FIRST DIGIT DISTRIBUTION OF HADRON FULL WIDTH

School of Physics and State Key Laboratory of Nuclear Physics and Technology, Peking University, Beijing 100871, China

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School of Physics and State Key Laboratory of Nuclear Physics and Technology, Peking University, Beijing 100871, China

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https://doi.org/10.1142/S0217732309031223Cited by:23 (Source: Crossref)

Abstract

A phenomenological law, called Benford's law, states that the occurrence of the first digit, i.e. 1, 2,…, 9, of numbers from many real world sources is not uniformly distributed, but instead favors smaller ones according to a logarithmic distribution. We investigate, for the first time, the first digit distribution of the full widths of mesons and baryons in the well-defined science domain of particle physics systematically, and find that they agree excellently with the Benford distribution. We also discuss several general properties of Benford's law, i.e. the law is scale-invariant, base-invariant and power-invariant. This means that the lifetimes of hadrons also follow Benford's law.

Keywords:

PACS: 02.50.Cw, 14.20.-c, 14.40.-n, 21.10.Tg

References

S. Newcomb, Am. J. Math. 4, 39 (1881), DOI: 10.2307/2369148. Crossref, Google Scholar
F. Benford, Proc. Am. Phil. Soc. 78, 551 (1938). Web of Science, ADS, Google Scholar
J. Burke and E. Kincanon, Am. J. Phys. 59, 952 (1991), DOI: 10.1119/1.16838. Crossref, Web of Science, ADS, Google Scholar
B. Buck, A. C. Merchant and S. M. Perez, Eur. J. Phys. 14, 59 (1993), DOI: 10.1088/0143-0807/14/2/003. Crossref, Google Scholar
D. Ni and Z. Ren, Eur. Phys. J. A 38, 251 (2008), DOI: 10.1140/epja/i2008-10680-8. Crossref, Web of Science, ADS, Google Scholar
L. M. Leemis, B. W. Schmeiser and D. L. Evans, Am. Statist. 54, 236 (2000), DOI: 10.2307/2685773. Crossref, Web of Science, Google Scholar
J. C. Pain, Phys. Rev. E 77, 012102 (2008), DOI: 10.1103/PhysRevE.77.012102. Crossref, Web of Science, Google Scholar
E. Ley, Am. Statist. 50, 311 (1996), DOI: 10.2307/2684926. Crossref, Web of Science, Google Scholar
S. N. Dorogovtsev, J. F. F. Mendes and J. G. Oliveira, Physica A 360, 548 (2006), DOI: 10.1016/j.physa.2005.06.064. Crossref, Web of Science, ADS, Google Scholar
J. Torreset al., Eur. J. Phys. 28, L17 (2007), DOI: 10.1088/0143-0807/28/3/N04. Crossref, Web of Science, Google Scholar
D. E. Giles, Appl. Econ. Lett. 14, 157 (2007), DOI: 10.1080/13504850500425667. Crossref, Web of Science, Google Scholar
C. R. Tolle, J. L. Budzien and R. A. LaViolette, Chaos 10, 331 (2000), DOI: 10.1063/1.166498. Crossref, Web of Science, ADS, Google Scholar
M. A. Snyder, J. H. Curry and A. M. Dougherty, Phys. Rev. E 64, 026222 (2001), DOI: 10.1103/PhysRevE.64.026222. Crossref, Web of Science, Google Scholar
A. Berger, L. A. Bunimovich and T. P. Hill, Trans. Am. Math. Soc. 357, 197 (2005), DOI: 10.1090/S0002-9947-04-03455-5. Crossref, Web of Science, Google Scholar
M. J. Nigrini, J. Am. Tax. Assoc. 18, 72 (1996). Google Scholar
M. J. Nigrini, J. Accountancy 187, 79 (1999). Google Scholar
A. M. Rose and J. M. Rose, J. Accountancy 196, 58 (2003). Google Scholar
S. Al-Marzoukiet al., Brit. Med. J. 331, 267 (2005), DOI: 10.1136/bmj.331.7511.267. Crossref, Web of Science, Google Scholar
R. J. C. Brown, The Analyst 130, 1280 (2005), DOI: 10.1039/b504462f. Crossref, Web of Science, ADS, Google Scholar
A. Diekmann, J. Appl. Statist. 34, 321 (2007), DOI: 10.1080/02664760601004940. Crossref, Web of Science, Google Scholar
J. L. Barlow and E. H. Bareiss, Computing 34, 325 (1985), DOI: 10.1007/BF02251833. Crossref, Web of Science, Google Scholar
P. Schatte, J. Inform. Process. Cybern. EIK 24, 443 (1988). Google Scholar
A. Berger and T. P. Hill, Am. Math. Mon. 114, 588 (2007). Crossref, Web of Science, Google Scholar
J. Jolion, J. Math. Imaging Vision 14, 73 (2001), DOI: 10.1023/A:1008363415314. Crossref, Web of Science, Google Scholar
D. Fu, Y. Q. Shi and W. Su, Proc. SPIE Int. Soc. Opt. Eng. 6505, 65051L (2007). Google Scholar
C. Amsleret al., Phys. Lett. B 667, 1 (2008). Crossref, Web of Science, ADS, Google Scholar
R. A. Raimi, Am. Math. Mon. 83, 521 (1976), DOI: 10.2307/2319349. Crossref, Web of Science, Google Scholar
T. P. Hill, Am. Math. Mon. 102, 322 (1995), DOI: 10.2307/2974952. Crossref, Web of Science, Google Scholar
T. P. Hill, Proc. Am. Math. Soc. 123, 887 (1995), DOI: 10.2307/2160815. Web of Science, Google Scholar
T. P. Hill, Statist. Sci. 10, 354 (1995). Crossref, Web of Science, Google Scholar
R. S. Pinkham, Ann. Math. Statist. 32, 1223 (1961), DOI: 10.1214/aoms/1177704862. Crossref, Web of Science, Google Scholar
L. Pietroneroet al., Physica A 293, 297 (2001), DOI: 10.1016/S0378-4371(00)00633-6. Crossref, Web of Science, ADS, Google Scholar
Z. Li, L. Cong and H. Wang, arXiv:math/0408057 . Google Scholar

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Vol. 24, No. 40

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History

Received 2 March 2009

Revised 27 May 2009

Keywords