TY - JOUR

T1 - Chiral 2π-exchange nn potentials

T2 - Two-loop contributions

AU - Kaiser, N.

PY - 2001/11

Y1 - 2001/11

N2 - We calculate in heavy baryon chiral perturbation theory the local NN potentials generated by the two-pion exchange diagrams at two-loop order. We give explicit expressions for the mass spectra (or imaginary parts) of the corresponding isoscalar and isovector central, spin-spin and tensor NN amplitudes. We find from two-loop two-pion exchange, a sizable isoscalar central repulsion that amounts to 62.3 MeV at r= 1.0 fm. There is a similarly strong isovector central attraction that, however, originates mainly from the third-order low-energy constants d̄j entering the chiral πN-scattering amplitude. We also evaluate the one-loop 2π-exchange diagram with two second-order chiral 2πNN vertices proportional to the low-energy constants c1,2,3,4 as well as the first relativistic 1/M correction to the 2π-exchange diagrams with one such vertex. The diagrammatic results presented here are relevant components of the chiral NN potential at next-to-next-to-next-to-leading order.

AB - We calculate in heavy baryon chiral perturbation theory the local NN potentials generated by the two-pion exchange diagrams at two-loop order. We give explicit expressions for the mass spectra (or imaginary parts) of the corresponding isoscalar and isovector central, spin-spin and tensor NN amplitudes. We find from two-loop two-pion exchange, a sizable isoscalar central repulsion that amounts to 62.3 MeV at r= 1.0 fm. There is a similarly strong isovector central attraction that, however, originates mainly from the third-order low-energy constants d̄j entering the chiral πN-scattering amplitude. We also evaluate the one-loop 2π-exchange diagram with two second-order chiral 2πNN vertices proportional to the low-energy constants c1,2,3,4 as well as the first relativistic 1/M correction to the 2π-exchange diagrams with one such vertex. The diagrammatic results presented here are relevant components of the chiral NN potential at next-to-next-to-next-to-leading order.

UR - http://www.scopus.com/inward/record.url?scp=0035510981&partnerID=8YFLogxK

U2 - 10.1103/PhysRevC.64.057001

DO - 10.1103/PhysRevC.64.057001

M3 - Article

AN - SCOPUS:0035510981

SN - 0556-2813

VL - 64

SP - 570011

EP - 570014

JO - Physical Review C - Nuclear Physics

JF - Physical Review C - Nuclear Physics

IS - 5

M1 - 057001

ER -