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Benford’s law and cross-sections of A(n,\( \alpha\))B reactions

  • X. J. Liu
  • X. P. Zhang
  • D. D. Ni
  • Z. Z. Ren
Regular Article - Theoretical Physics

Abstract

Benford’s law, also called the first-digit law, states that in lists of numbers from many quite disparate databases, the leading digit is distributed in a non-uniform but actually logarithmic way. We have investigated the first-digit distribution of experimental cross-sections of A(n,\( \alpha\))B reactions. In the case of below-barrier \( \alpha\) -particle emission from compound nucleus, it is found that the (n,\( \alpha\)) reaction cross-sections approximately follow the first-digit distribution indicated by Benford’s law. The origin of this first-digit distribution is discussed within the framework of the statistical model. In addition, Benford’s law is used to test the evaluated cross-sections of A(n,\( \alpha\))B reactions.

Keywords

Compound Nucleus Coulomb Barrier 147Sm Decimal Fraction Incident Neutron Energy 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© SIF, Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • X. J. Liu
    • 1
  • X. P. Zhang
    • 1
    • 2
  • D. D. Ni
    • 1
  • Z. Z. Ren
    • 1
    • 3
  1. 1.Department of PhysicsNanjing UniversityNanjingChina
  2. 2.Department of Engineering PhysicsTsinghua UniversityBeijingChina
  3. 3.Center of Theoretical Nuclear PhysicsNational Laboratory of Heavy-Ion AcceleratorLanzhouChina

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