TY - JOUR
T1 - The effect of short-range correlations in the second order pion-carbon optical potential
AU - Garcilazo, Humberto
N1 - Funding Information:
I wish to express my thanks for useful discussions on the subject of this work with Drs. J. M. Eisenberg, H. Feshbach, A. Gal, W. R. Gibbs, M. B. Johnson and D. Koltun . I also thank the University of Tel-Aviv where part of this work was developed for the hospitality given to me, and to the Mexico-Israel Scientific exchange program for a fellowship to visit the University of Tel-Aviv.
PY - 1978/6/19
Y1 - 1978/6/19
N2 - We construct a second order pion-carbon optical potential in momentum space and use it to calculate cross sections for energies between 40 and 280 MeV. We find that the cross sections calculated with this potential depend very strongly on the range of the pion-nucleon interaction for energies below the 3, 3 resonance. For energies above the 3, 3 resonance the main effect of the second order optical potential is to raise the cross sections at large angles by factors of between 2 and 3 independently of the pion-nucleon range. We derive some approximate formulas for the second order term of the optical potential and determine their range of validity. We also study the sensitivity of our results to the use of different relativistic propagators for the pion.
AB - We construct a second order pion-carbon optical potential in momentum space and use it to calculate cross sections for energies between 40 and 280 MeV. We find that the cross sections calculated with this potential depend very strongly on the range of the pion-nucleon interaction for energies below the 3, 3 resonance. For energies above the 3, 3 resonance the main effect of the second order optical potential is to raise the cross sections at large angles by factors of between 2 and 3 independently of the pion-nucleon range. We derive some approximate formulas for the second order term of the optical potential and determine their range of validity. We also study the sensitivity of our results to the use of different relativistic propagators for the pion.
UR - http://www.scopus.com/inward/record.url?scp=49349132418&partnerID=8YFLogxK
U2 - 10.1016/0375-9474(78)90336-6
DO - 10.1016/0375-9474(78)90336-6
M3 - Artículo
SN - 0375-9474
VL - 302
SP - 493
EP - 510
JO - Nuclear Physics, Section A
JF - Nuclear Physics, Section A
IS - 2
ER -