Subtractive renormalization of the chiral potentials up to next-to-next-to-leading order in higher NN partial waves

Details Subtractive renormalization of the chiral potentials up to next-to-next-to-leading order in higher NN partial waves Subtractive renormalization of the chiral potentials up to next-to-next-to-leading order in higher NN partial waves

2009-01-17

arxiv.org/abs/0901.2663v2

Phys.Rev.C80:034002,2009

Physics

Nuclear Physics

Nuclear Theory

27 pages, 14 figures

Scientific paper

We develop a subtractive renormalization scheme to evaluate the P-wave NN scattering phase shifts using chiral effective theory potentials. This allows us to consider arbitrarily high cutoffs in the Lippmann-Schwinger equation (LSE). We employ NN potentials computed up to next-to-next-to-leading order (NNLO) in chiral effective theory, using both dimensional regularization and spectral-function regularization. Our results obtained from the subtracted P-wave LSE show that renormalization of the NNLO potential can be achieved by using the generalized NN scattering lengths as input--an alternative to fitting the constant that multiplies the P-wave contact interaction in the chiral effective theory NN force. However, in order to obtain a reasonable fit to the NN data at NNLO the generalized scattering lengths must be varied away from the values extracted from the so-called high-precision potentials. We investigate how the generalized scattering lengths extracted from NN data using various chiral potentials vary with the cutoff in the LSE. The cutoff-dependence of these observables, as well as of the phase shifts at $T_{lab} \approx 100$ MeV, suggests that for a chiral potential computed with dimensional regularization the highest LSE cutoff it is sensible to adopt is approximately 1 GeV. Using spectral-function regularization to compute the two-pion-exchange potentials postpones the onset of cutoff dependence in these quantities, but does not remove it.

Affiliated with

Also associated with

No associations

Rating

Subtractive renormalization of the chiral potentials up to next-to-next-to-leading order in higher NN partial waves 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 Subtractive renormalization of the chiral potentials up to next-to-next-to-leading order in higher NN partial waves, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Subtractive renormalization of the chiral potentials up to next-to-next-to-leading order in higher NN partial waves will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-701513