Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2007-09-09
Phys.Rev.C77:054001,2008
Physics
Nuclear Physics
Nuclear Theory
30 pages, 13 figures, figures changed, compacted text
Scientific paper
10.1103/PhysRevC.77.054001
I study an aspect of chiral perturbation theory (\chi PT) which enables one to ``bridge'' different reactions. That is, an operator fixed in one of the reactions can then be used to predict the other. For this purpose, I calculate the partial wave amplitude for the p-wave pion production (pp\to pn\pi^+) using the pion production operator from the lowest and the next nonvanishing orders. The operator includes a contact operator whose coupling has been fixed using a matrix element of a low-energy weak process (pp\to de^+\nu_e). I find that this operator does not reproduce the partial wave amplitude extracted from experimental data, showing that the bridging over the reactions with significantly different kinematics is not necessarily successful. I study the dependence of the amplitude on the various inputs such as the NN potential, the \pi N\Delta coupling, and the cutoff. I argue the importance of a higher order calculation. In order to gain an insight into a higher order calculation, I add a higher order counter term to the operator used above, and fit the couplings to both the low-energy weak process and the pion production. The energy dependence of the partial wave amplitude for the pion production is described by the operator consistently with the data. However, I find a result which tells us to be careful about the convergence of the chiral expansion for the pp\to pn\pi^+ reaction.
No associations
LandOfFree
Bridging over p-wave pi-production and weak processes in few-nucleon systems with chiral perturbation theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Bridging over p-wave pi-production and weak processes in few-nucleon systems with chiral perturbation theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bridging over p-wave pi-production and weak processes in few-nucleon systems with chiral perturbation theory will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-631002