Abstract
We estimate the accuracy of the conventional ansatz of approximating the lowest order absorptiveP-wave pion-deuteron interactions by pole term amplitudes. By comparing the matrix elements of the approximate pole term and complete absorptive reaction amplitudes for elasticπd scattering we find the pole term approximation to lead to better than 10% accuracy for both theP 11 andP 33 state interactions.
Similar content being viewed by others
References
Stricker, K., Carr, J., McManus, H.: Phys. Rev. C19, 929 (1979)
Kowalski, K.L., Siciliano, E.R., Thaler, R.M.: Phys. Rev. C19, 1843 (1979)
Kisslinger, L.S., Saharia, A.N.: The pion nucleus potential in the isobar-doorway model. Preprint, Carnegie-Mellon University 1979
Hankel, H.: Math. Ann.8, 453 (1875)
Abramowitz, M., Segun, I.A.: Handbook of Mathematical Functions. New York: Dover Publ. Inc. 1965
Reid, R.V.: Ann. Phys.50, 411 (1968)
Epstein, G.N., Riska, D.O.: Z. Phys. A283, 193 (1977)
Brack, M., Riska, D.O., Weise, W.: Nucl. Phys. A287, 425 (1977)
Green, A.M., Niskanen, J.A.: Nucl. Phys. A271, 503 (1976)
Niskanen, J.: Nucl. Phys. A298, 417 (1978)
Chai, J., Riska, D.O.: Nucl. Phys. A338, 349 (1980)
Carr, J.A., Stricker, K., McManus, H.: to be published
Author information
Authors and Affiliations
Additional information
Research supported in part by the National Science Foundation
Rights and permissions
About this article
Cite this article
Riska, D.O., Duffy, J.E. Pole terms and absorption in theP-wave pion-deuteron interaction. Z Physik A 296, 35–42 (1980). https://doi.org/10.1007/BF01415612
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01415612