Explicit solutions for exit-only radioactive decay chains

Journal of Applied Physics

Volumn 101, Issue 9, 2007, Pages

  Yuan, Ding ^a   Kernan, Warnick ^a  

^a Remote Sensing Laboratory   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BATEMAN'S EQUATIONS; DECAY CHAINS; RADIOACTIVE DECAY;

ALGEBRA; LAPLACE TRANSFORMS; PROBLEM SOLVING;

RADIOACTIVE MATERIALS;

EID: 34248530684     PISSN: 00218979     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2715785     Document Type: Conference Paper

References (14)

1. H. Bateman, Proc. Cambridge Philos. Soc. 15, 423 (1910).
2. B. Bourdon, S. Turner, G. M. Henderson, and C. C. Lundstrom, Rev. Mineral. Geochem. 52, 1 (2003).
3. M. Harada, P. L. Chambre, M. Foglia, K. Higashi, F. Iwamoto, D. Leung, T. H. Pigford, and D. Ting, Technical Report No. ONWI-359 (Lawrence Berkeley Laboratory, University of California, 1980).
4. K. Zhang and A. D. Woodbury, J. Contam. Hydrol. 44, 387 (2000).
5. N. Euler, O. Lindblom, M. Euler, and L. Persson, in " The higher dimensional Bateman equation and Painleve analysis of nonintegrable wave equations., " Proceedings of the Second International Conference in Symmetry, Symmetry in Nonlinear Math. Phys., Vol. 1, pp. 185-192 (1997).
6. D. B. Fairlie and A. N. Leznov, J. Math. Phys. 42 (1), 453 (2001).
7. L. Peralta, T. Paiva, and C. Ortigao, Eur. J. Phys. 24, 149 (2003).
8. D. S. Pressyanov, Am. J. Phys. 70, 444 (2002).
9. J. S. Lilley, Nuclear Physics: Principles and Applications (Wiley, New York, NY, 2001), pp. 18-19.
10. K. S. Krane, Introductory Nuclear Physics (Wiley, New York, NY, 1988), pp. 160-173.
11. V. I. Arnold, Ordinary Differential Equations, translated from Russian by R. A. Silverman (MIT, Cambridge, MA, 1973), pp. 167-177.
12. W. Walter, Ordinary Differential Equations (Springer-Verlag, New York, NY, 1998), pp. 204-207.
13. L. Moral and A. F. Pacheco, Am. J. Phys. 71, 684 (2003).
14. H. W. Kirby and D. A. Kremer, Anal. Chem. 27, 298 (1955).