TY  - JOUR
AU  - Pavon Valderrama, M.
AU  - Ruiz Arriola, E.
PY  - 2011
DA  - 2011//
TI  - Renormalization of chiral two-pion exchange NN interactions with Delta excitations: Correlations in the partial-wave expansion
T2  - Phys. Rev. C
JO  - Physical Review C
SP  - 044002
EP  - 19pp
VL  - 83
IS  - 4
PB  - Amer Physical Soc
AB  - In this work we consider the renormalization of the chiral two-pion exchange potential with explicit Delta excitations for nucleon-nucleon scattering at next-to-leading (NLO) and next-to-next-to-leading order (N(2)LO). Because of the singular nature of the chiral potentials, correlations between different partial waves are generated. In particular, we show that two-body scattering by a short distance power like singular attractive interaction can be renormalized in all partial waves with a single counterterm, provided the singularities are identical. A parallel statement holds in the presence of tensor interactions when the eigenpotentials in the coupled channel problem also coincide. Although this construction reduces the total number of counterterms to 11 in the case of nucleon-nucleon scattering with chiral two-pion exchange interactions with Delta degrees of freedom, the differences in the scattering phases as compared to the case with the uncorrelated partial-wave renormalization become smaller as the angular momentum is increased in the elastic scattering region.
SN  - 0556-2813
UR  - http://arxiv.org/abs/1005.0744
UR  - https://doi.org/10.1103/PhysRevC.83.044002
DO  - 10.1103/PhysRevC.83.044002
LA  - English
N1  - WOS:000290163900001
ID  - PavonValderrama+RuizArriola2011
ER  -