Abstract
Matrix element of the Gallilean invariant nonrelativistic reduction of the pseudoscalar-pseudovector interaction has been calculated for free pion absorption by a single nucleon inside the nucleus of16O. The Hartree-Fock wavefunctions obtained with the unitary-model-operator approach starting with the hard-core nucleon-nucleon interaction have been used for the π-capturing nucleon in the initial state. The initial pion distortion in the presence of nuclear field of the absorbing nucleus prior to its absorption together with the Coulomb interaction with the finite nuclear size has been taken into account. The distortion of the emitted proton in the field of the residual nucleus has also been considered. The differential cross-sections have been obtained and calculated results are compared with the previous experimental and theoretical work.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Auerbach E H, Flemino D M and Sternheim M M 1967Phys. Rev. 162 1683
Bachelier D, Boyard J L, Hennino T, Jourdain J C, Radvanyi P and Roy-Stephan M 1977Phys. Rev. C15 2139
Bachelier D, Boyard J L, Hennino T, Jourdain J C, Radvanyi P and Roy-Stephan M 1980Phys. Rev. C22 2531
Baker W F, Rainwater J and Williams R E 1958aPhys. Rev. 112 1763
Baker W F, Byfield H and Rainwater J 1958bPhys. Rev. 112 1773
Bhalerao R S and Waghmare Y R 1975Pramana 5 154
Blecher Met al 1979Phys. Rev. C20 1884
Dytman S A, Amann J F, Barenes P D, Craig J N, Doss K G R, Eisenstein R A, Sherman J D, Wharton W R, Burleson G R, Verbeck S L, Peterson R J and Thiessen H A 1979Phys. Rev. C19 971
Edmonds A R 1960Angular momentum in quantum mechanics (Princeton: University Press) p. 84.
Eisenstein R A and Miller G A 1974Phys. Commun. 8 130
Jackson D F 1970Nuclear reactions (London: Methuen and Co) p. 64
Kakkar I 1969 PhD thesis, IIT Kanpur
Kisslinger L S 1955Phys. Rev. 98 761
Koch J H and Sternheim M M 1972Phys. Rev. C6 1118
Malbrough D J, Darden C W, Edge R D, Marks T, Preedom B M, Burman R L, Moinester M A, Redwine R P, Bertrand F E, Cleary T P, Gross E E, Ludemann C A and Gotow 1978Phys. Rev. C17 1395
Miller G A and Phatak S C 1974Phys. Lett. B51 129
Passotore G 1975Nucl. Phys. A248 509
Shakin C M, Waghmare Y R and Hull M H 1967aPhys. Rev. 161 1006
Shakin C M, Waghmare Y R, Hull M H and Tomaselli M 1967bPhys. Rev. 161 1015
Yu D U L 1966Ann. Phys. 38 392
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Mathur, U.N.L., Waghmare, Y.R. Pion absorption by16O using realistic interactions—II: Free pion absorption followed by emission of proton. Pramana - J. Phys 22, 457–466 (1984). https://doi.org/10.1007/BF02847113
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02847113