Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2003-05-02
Phys.Rev. C68 (2003) 034003
Physics
Nuclear Physics
Nuclear Theory
7 pages, 5 figures
Scientific paper
10.1103/PhysRevC.68.034003
Modern effective-theory techniques are applied to the nuclear many-body problem. A novel approach is proposed for the renormalization of operators in a manner consistent with the construction of the effective potential. To test this approach, a one-dimensional, yet realistic, nucleon-nucleon potential is introduced. An effective potential is then constructed by tuning its parameters to reproduce the exact effective-range expansion and a variety of bare operators are renormalized in a fashion compatible with this construction. Predictions for the expectation values of these effective operators in the ground state reproduce the results of the exact theory with remarkable accuracy (at the 0.5% level). This represents a marked improvement over a widely practiced approach that uses effective interactions but retains bare operators. Further, it is shown that this improvement is more impressive as the operator becomes more sensitive to the short-range structure of the potential. We illustrate the main ideas of this work using the elastic form factor of the deuteron as an example.
Felline C.
Mehta Nirav P.
Piekarewicz Jorge
Shepard James R.
No associations
LandOfFree
Low-energy operators in effective theories 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 Low-energy operators in effective theories, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Low-energy operators in effective theories will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-154643