Speaker
Dr
Manuel Pavon Valderrama
(IFIC-UV)
Description
In this talk I consider the perturbative renormalizability of chiral two-pion exchange within the effective field theory formulation of nuclear forces, provided that the one pion exchange potential has been fully iterated. This particular prescription implements the modified Weinberg counting proposal made by Nogga, Timmermans and van Kolck[1] up to next-to-next-to-leading order.
It is shown that, by including the relevant counterterms, finite results can be obtained when the cut-off is removed, resulting in three counterterms for the singlet channel and six for the triplet. The previous result proves the viability of the Nogga, Timmermans and van Kolck counting, and confirms the related renormalization group analysis made by Birse [2] which predicted a similar number of counterterms for the central waves.
Explicit calculations show that the present scheme yields a good description of nucleon-nucleon phase shifts up to a center-of-mass momentum of k ~ 200-300 MeV for the singlet and k ~ 300-400 MeV in the triplet [3]. The extension of the results to P- and D-waves is also discussed.
References:
[1] Phys.Rev.C72:054006,2005.
[2] Phys.Rev.C74:014003,2006.
[3] Phys.Rev.C83:024003,2011.
Primary author
Dr
Manuel Pavon Valderrama
(IFIC-UV)
