TY - JOUR
T1 - The nucleon-nucleon interaction up to sixth order in the chiral expansion
AU - Machleidt, Ruprecht
AU - Entem, David R.
AU - Kaiser, Norbert
AU - Nosyk, Yevgen
N1 - Funding Information:
This project has received funding from the European Union’s Horizon 2020 research and innovation program under grant agreement No 637324. RB and EF thank the University of Bern and the International Foundation High Altitude Research Stations Jungfraujoch and Gornergrat for the support.
Funding Information:
This work was supported in part by the U.S. Department of Energy under Grant No. DE-FG02- 03ER41270 (R.M. and Y.N.), the Ministerio de Ciencia y Tecnología under Contract No. FPA2013- 47443-C2-2-P and the European Community-Research Infrastructure Integrating Activity Study of Strongly Interacting Matter (HadronPhysics3 Grant No. 283286) (D.R.E.), and by DFG and NSFC (CRC110) (N.K.).
PY - 2015
Y1 - 2015
N2 - We calculate the nucleon-nucleon (NN) interaction up to sixth order (N5LO) of chiral perturbation theory. Previous studies extended only up to N3LO (fourth order) and typically showed a surplus of attraction, particularly, when the pN LECs from pN analysis were applied consistently. Furthermore, the contributions at N2LO and N3LO are both fairly sizeable, thus, raising concerns about the convergence of the chiral expansion. We show that the N4LO contribution is repulsive and, essentially, cancels the excessive attraction of N3LO. The N5LO contribution turns out to be considerably smaller than the N4LO one, hence, establishing the desired trend of convergence. The predictions at N5LO are in excellent agreement with the empirical phase shifts of peripheral partial waves.
AB - We calculate the nucleon-nucleon (NN) interaction up to sixth order (N5LO) of chiral perturbation theory. Previous studies extended only up to N3LO (fourth order) and typically showed a surplus of attraction, particularly, when the pN LECs from pN analysis were applied consistently. Furthermore, the contributions at N2LO and N3LO are both fairly sizeable, thus, raising concerns about the convergence of the chiral expansion. We show that the N4LO contribution is repulsive and, essentially, cancels the excessive attraction of N3LO. The N5LO contribution turns out to be considerably smaller than the N4LO one, hence, establishing the desired trend of convergence. The predictions at N5LO are in excellent agreement with the empirical phase shifts of peripheral partial waves.
UR - http://www.scopus.com/inward/record.url?scp=84988699051&partnerID=8YFLogxK
M3 - Conference article
AN - SCOPUS:84988699051
SN - 1824-8039
VL - 29-June-2015
JO - Proceedings of Science
JF - Proceedings of Science
M1 - 112
T2 - 8th International Workshop on Chiral Dynamics, CD 2015
Y2 - 29 June 2015 through 3 July 2015
ER -