
%0 Journal Article
%A Deutchman, P. A. 
%T A New Energy-dependent &#916; Width in Coherent Pion Production
%J Australian Journal of Physics
%D 1999/09/24
%V 52
%N 6
%P 955-971
%K 
%R https://doi.org/10.1071/PH99031
%U https://www.publish.csiro.au/paper/PH99031 
%X A new derivation for the energy-dependent &#916; width inside nuclei is presented which includes the all important, energy-dependent nuclear form factor describing the decay of the &#916; particle from its harmonic oscillator, bound state back to a captured nucleon and outgoing pion. Additional improvements include relativistic kinematics, generalisation beyond the static limit in the kinematics, and inclusion of the &#916;N &#928; energy-dependent vertex form factor. The new decay width provides a reasonable cut-off at high pion momenta and gives the correct momentum dependence in the limit of single-particle decay at low momenta. The results of calculations for the energy-dependent widths and their effects on the energy distributions of exclusive coherent pion production for 12 C+ 12 C &rarr; 12 C+ 12 C* (T = 1)+ &#928; 0 at incident energies below and above the pion threshold are shown and discussed. The new energy dependence is compared to the free &#916; width used previously and it is seen that the new results give a smoother and more realistic shape to the pion energy distributions. 
