- Access by Xinjiang University
Unitary Modifications of the Impulse Approximation
Phys. Rev. 162, 855 – Published 20 October, 1967
DOI: https://doi.org/10.1103/PhysRev.162.855
Abstract
Unitary modifications of the impulse approximation, proposed by Rosenberg and Queen, are investigated, and the connection between them established. It is shown that Queen's approximation does not in fact ensure elastic unitarity, and that if Queen's approximation is modified so as to retain the unitarity constraint, then Rosenberg's approximation is obtained. In preliminary elastic-scattering calculations on a soluble three-body model, it is found that unitarity is violated strongly by the impulse approximation, and to a smaller extent by Queen's approximation. Both of the unitary modifications substantially reduce the impulse-approximation differential cross sections, and yield improved results in the forward hemisphere.
References (12)
- G. F. Chew, Phys. Rev. 80, 196 (1950) G. F. Chew and G. C. Wick, ibid. 85, 636 (1952) G. F. Chew and M. L. Goldberger, ibid. 87, 778 (1952)
- L. Rosenberg, Phys. Rev. 135, B715 (1964)
- N. M. Queen, Nucl. Phys. 55, 177 (1964) ibid.66, 673 (1965)
- N. M. Queen, Nucl. Phys. 80, 593 (1966)
- Y. Yamaguchi, Phys. Rev. 95, 1628 (1954)
- R. Aaron, R. D. Amado, and Y. Y. Yam, Phys. Rev. 136, B650 (1964)
- K. M. Watson, Phys. Rev. 89, 575 (1953)
- L. Rosenberg, Phys. Rev. 131, 874 (1963)
- M. L. Goldberger and K. M. Watson, Collision Theory (John Wiley & Sons, Inc., New York, 1964), Sec. 11.3
- G. F. Chew and M. L. Goldberger, Phys. Rev. 77, 470 (1950)
- H. Kottler and K. L. Kowalski, Phys. Rev. 138, B619 (1965)
- [6] [6] [R. D. Amado (private communication)]