D. Branson, P.V. Landshoff and J.C. Taylor. 'Derivation of partial amplitudes and the validity of dispersion relations for production processes', Physical Review, Vol.132, 902-912, 1963.
D. Branson. 'Time and the S-matrix', Physical Review, Vol.135, B1255-1262, 1964.
D. Branson. 'Three particle singularities in scattering amplitudes', Annals of Physics, Vol.35, 351-372, 1965.
D. Branson. 'The cross-discontinuity condition in S-matrix theory', Il Nuovo Cimento, Vol.44, 1081-1090, 1966.
D. Branson, S. Nussinov, S.B. Treiman and W.I. Weisberger. 'Contribution of Regge cuts to forward nucleon-nucleon scattering', Physics Letters, Vol.25B, 141-143, 1967.
D. Branson. 'Physical sheet properties of second-type singularities', Il Nuovo Cimento, Vol.51B, 239-240, 1967.
D. Branson. 'Singularity properties of the bubble diagrams of S-matrix theory', Il Nuovo Cimento, Vol.54A, 217-233, 1968.
D. Branson. 'Signature of Regge cuts coupled to spinning particles', Physical Review, Vol.179, 1608-1616, 1969.
D. Branson. 'A colliding pole and branch point as a model for a self-consistent Pomeranchuk singularity', Il Nuovo Cimento, Vol.3A, 271-286, 1971.
D. Branson. 'Hard Regge cuts consistent with elastic unitarity', Il Nuovo Cimento, Vol.15A, 217-226, 1973.
D. Branson and E.L. Berger. 'Particle production at large transverse momentum', Physics Letters, Vol.45B, 57-62, 1973.
D. Branson. 'Continuity conditions on Schrödinger wave functions at discontinuities of the potential', American Journal of Physics, Vol.47, 1000-1003, 1979.
D. Branson. 'The correspondence principle and scattering from potential steps', American Journal of Physics, Vol.47, 1101-1102, 1979.
D. Branson. 'Binomial aspects of failure rate analysis', American Journal of Physics, Vol.53, 174-175, 1985.
D. Branson. 'Times of flight', The Mathematical Gazette, Vol.75, 202-203, 1991.
D. Branson. 'Inhomogeneous birth-death and birth-death-immigration processes and the logarithmic series distribution', Stochastic Processes and their Applications, Vol.39, 131-137, 1991.
D. Branson. 'An urn model and the coalescent in neutral infinite-alleles genetic processes', in I.V. Basawa and R.L. Taylor (eds.) Selected Proceedings of the Sheffield Symposium on Applied Probability, 1989, Institute of Mathematical Statistics Lecture Notes - Monograph Series Vol.18, 174-192, Institute of Mathematical Statistics, Hayward, California, 1991.
D. Branson. 'Sequences obtained from tossing a coin', The Mathematical Gazette, Vol. 76, 401-402, 1992.
D. Branson. 'Moments of discrete probability distributions derived using a differential operator', The American Statistician, Vol. 47, 83-84, 1993.
D. Branson. 'An extension of Stirling numbers', The Fibonacci Quarterly, Vol. 34, 213-223, 1996.
D. Branson. 'Oscillations in random walks', Sankhyã: The Indian Journal of Statistics, Vol. 59, 1-9, 1997.
D. Branson. 'Inhomogeneous birth-death and birth-death-immigration processes and the logarithmic series distribution. Part 2', Stochastic Processes and their Applications, Vol. 86, 183-191, 2000.
D. Branson. 'Stirling numbers and Bell numbers: their role in combinatorics and probability' The Mathematical Scientist, Vol. 25, 1-31, 2000.
D Branson. 'A combinatorial interpretation of identities involving Stirling numbers and their generalizations', The Fibonacci Quarterly, Vol. 44, 131-140, 2006.
D. Branson, 'Stirling number representations', Discrete Mathematics, Vol. 306, 478-494, 2006.