Elsevier

Nuclear Physics A

Volume 232, Issue 1, 28 October 1974, Pages 58-92
Nuclear Physics A

A parametrization of the phase space factor for allowed β-decay

https://doi.org/10.1016/0375-9474(74)90645-9Get rights and content

Abstract

The phase space factor for allowed β-decay is parametrized in the form: ƒ = ƒZ = 0expΣ3n = 0 an(1n E0)n for |Z| ≦ 101 and for β-particle kinetic energy end points in the range 10 keV to 20 MeV (ƒZ = 0 is the usual point nucleus phase space factor for Z = 0). The parametrization uses electron wavefunctions generated in a uniform spherical charge distribution of radius adjusted to fit electron scattering and muonic X-ray data and screened by the atomic electrons; allowance is made for the curvature of the lepton wavefunctions through the nuclear volume, for their convolution with (rectangular) nucleon wavefunctions coterminous with the nuclear charge distribution, for all allowed combinations of l = 0 and l = 1 leptons of j = 12, for the energy-dependent “outer” radiative correction of order α and for the finite mass of the nucleus. Within the context of its definition the parametrization is accurate to better than 0.1 % everywhere.

References (30)

  • W. Bühring

    Nucl. Phys.

    (1965)
  • H. Behrens et al.

    Numerical tables for beta-decay and electron capture

  • W. Bühring

    Nucl. Phys.

    (1963)
    W. Bühring

    Nucl. Phys.

    (1963)
    W. Bühring et al.

    Nucl. Phys.

    (1965)
    B. Stech et al.

    Z. Phys.

    (1964)
    L. Schülke

    Z. Phys.

    (1964)
  • M.E. Rose

    Relativistic electron theory

    (1961)
  • H. Behrens et al.

    Nucl. Phys.

    (1972)
  • H.R. Collard et al.

    Nuclear radii

    C.S. Wu et al.

    Ann. Rev. Nucl. Sci.

    (1969)
  • A. Sirlin

    Phys. Rev.

    (1967)
    G. Källen

    Nucl. Phys.

    (1967)
  • W. Jaus et al.

    Nucl. Phys.

    (1970)
  • W. Jaus

    Phys. Lett.

    (1972)
  • M.A.B. Beg et al.

    Phys. Rev. Lett.

    (1969)
    M.A.B. Beg et al.

    Phys. Rev.

    (1972)
  • E.J. Konopinski

    The theory of beta radioactivity

    (1966)
    C.S. Wu et al.

    Beta decay

    (1966)
    H.F. Schopper

    Weak interactions and nuclear beta decay

    (1966)
  • M.E. Rose et al.

    Phys. Rev.

    (1951)
  • M.E. Rose et al.

    Phys. Rev.

    (1953)
  • M.E. Rose

    Phys. Rev.

    (1936)
  • U. Fano

    Tables for the analysis of beta spectra

    National Bureau of Standards Applied Mathematics Series 13

    (1952)
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    Work supported by a Royal Society Grant-in-Aid.

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