RICHARD J. JACOB
RESEARCH

 

Much of my research has been in the phenomenology of pion-nucleon interactions, with a heavy interest in pion photoproduction. Part of this effort has involved the development and application of various forms of dispersion relations to pion-nucleon, pion photoproduction and pion-pion scattering amplitudes. The most recent paper in this program is

"New evaluation of the π Ν Σ  term" by G. E. Hite, W. B. Kaufmann and R. J. Jacob, Phys. Rev C71, 065201 (2005)


A review of the formalism of interior dispersion relations and their applications to pion-nucleon and pion-pion reactions is contained in the following document:

An Interior Dispersion Relation program for extracting low energy pion-nucleon and pion-pion scattering parameters from pion-nucleon phase shifts.

Some key early papers in this program are as follows:
 

"Boundary Dispersion Relations" by G. E. Hite and R. J. Jacob, Phys. Rev. D5, 422-427 (1972)

"Extension of Boundary Dispersion Relations" by G. E. Hite, R. J. Jacob and F. Steiner, Phys. Rev. D6, 3333-3335 (1972)

"An Interior Dispersion Relation Determination of the Pion-Nucleon Sigma-term" by G. E. Hite and R. J. Jacob, Phys. Lett. 53B, 200-202 (1974)

"Determination of the Pion-Nucleon Coupling Constant" by G. E. Hite, R. J. Jacob and D. C. Moir, Phys. Rev. D12, 2677-2683 (1975)

"Applicartions of Interior Dispersion Relations to Pion Photroproduction Near Threshold

" by R. McClaskey, R. J. Jacob and G. E. Hite, Phys. Rev. D18, 660-669 (1978)

"The Isosinglet and Isovector Pion-Pion Scattering Lengths" by R. Müller, G. E. Hite and R. J. Jacob, Zeit. Phys. C 8, 199-204 (1981)

"Current Algebra, Pion-Pion Scattering Lengths, and the S*(980) Background Contribution'' by R. J. Jacob and M. D. Scadron, Phys. Rev. D25, 3073-3074 (1982)

 


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