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  • Access by Xinjiang University

Solution of Nonrelativistic Partial-Wave Dispersion Relations

Porter W. Johnson

  • Department of Physics, Case Western Reserve University, Cleveland, Ohio 44106

Phys. Rev. 181, 2006 – Published 25 May, 1969

DOI: https://doi.org/10.1103/PhysRev.181.2006

Abstract

The partial-wave dispersion-relation (PWDR) problem is studied in the nonrelativistic elastic case. In particular, a set of conditions on the left-hand-cut discontinuity is obtained which is sufficient to guarantee that the PWDR problem has a solution. The nature of the solutions so obtained and the possible extensions are discussed.

References (9)

  1. A. Martin, Nuovo Cimento 38, 1326 (1965)
  2. G. Tiktopoulos (unpublished)
  3. Omitted endnote

  4. Omitted endnote

  5. R. Blankenbecler, M. L. Goldberger, N. N. Khuri, and S. B. Treiman, Ann. Phys. (N. Y.) 10, 62 (1959)
  6. E. M. Nyman, Nuovo Cimento 37, 492 (1965)
  7. Omitted endnote

  8. Omitted endnote

  9. W. V. Lovitt, Linear Integral Equations (Dover Publications, Inc., New York, 1950), pp. 24ff

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