Renormalization of the leading-order chiral nucleon-nucleon interaction and bulk properties of nuclear matter

Details Renormalization of the leading-order chiral nucleon-nucleon interaction and bulk properties of nuclear matter Renormalization of the leading-order chiral nucleon-nucleon interaction and bulk properties of nuclear matter

2009-10-20

arxiv.org/abs/0910.3942v2

Phys.Rev.C81:024001,2010

Physics

Nuclear Physics

Nuclear Theory

13 pages, 3 figures; references added, discussion slightly extended; final version to be published in PRC

Scientific paper

10.1103/PhysRevC.81.024001

We renormalize the two-nucleon interaction at leading order (LO) in chiral perturbation theory using the scheme proposed by Nogga, Timmermans, and van Kolck--also known as modified Weinberg counting. With this interaction, we calculate the energy per nucleon of symmetric nuclear matter in the Brueckner pair approximation and obtain a converged, cutoff-independent result that shows saturation, but also substantial underbinding. We find that the renormalized LO interaction is characterized by an extraordinarily strong tensor force (from one-pion exchange), which is the major cause for the lack of binding. The huge tensor force also leads to the unusually large wound integral of 40% in nuclear matter, which implies a very slow convergence of the hole-line or coupled-cluster expansion, rendering this interaction impractical for many-body calculations. In view of the unusual properties of the renormalized LO interaction and in view of the poor convergence of the nuclear many-body problem with this interaction, there is doubt if this interaction and its predictions can serve as a reasonable and efficient starting point that is improved by perturbative corrections.

Affiliated with

Also associated with

No associations

Rating

Renormalization of the leading-order chiral nucleon-nucleon interaction and bulk properties of nuclear matter 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 Renormalization of the leading-order chiral nucleon-nucleon interaction and bulk properties of nuclear matter, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Renormalization of the leading-order chiral nucleon-nucleon interaction and bulk properties of nuclear matter will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-145174