2017
DOI: 10.1103/physrevc.96.024004
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High-quality two-nucleon potentials up to fifth order of the chiral expansion

Abstract: We present N N potentials through five orders of chiral effective field theory ranging from leading order (LO) to next-to-next-to-next-to-next-to-leading order (N 4 LO). The construction may be perceived as consistent in the sense that the same power counting scheme as well as the same cutoff procedures are applied in all orders. Moreover, the long-range parts of these potentials are fixed by the very accurate πN LECs as determined in the Roy-Steiner equations analysis by Hoferichter, Ruiz de Elvira and cowork… Show more

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Cited by 373 publications
(484 citation statements)
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References 137 publications
(198 reference statements)
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“…[17] due to the sub-sub-leading two-pion exchange as a new nonperturbative source entering at N 3 LO. It is interesting to note that these jumps in the eigenvalues are also manifested in the form of large energy changes of the triton binding energy [10,53] based on these two-body interactions [54].…”
Section: Resultsmentioning
confidence: 99%
“…[17] due to the sub-sub-leading two-pion exchange as a new nonperturbative source entering at N 3 LO. It is interesting to note that these jumps in the eigenvalues are also manifested in the form of large energy changes of the triton binding energy [10,53] based on these two-body interactions [54].…”
Section: Resultsmentioning
confidence: 99%
“…[44][45][46] and references therein). Recently, chiral NN forces have been constructed up to the fifth order by the Bochum-Juelich [13] and the Idaho groups [14,47]. The dominant two-and three-pion-exchange contributions at the sixth order have also been worked out, in Ref.…”
Section: Introductionmentioning
confidence: 99%
“…There are a variety of formulations of the nuclear force. Most studies are performed in the non-relativistic (NR) framework, including the high precision phenomenological nuclear potentials, Reid93 [11] and Argonne V 18 [12], or the chiral forces [13,14]. In the relativistic framework, only two formulations have been studied rather extensively, namely the (CD-)Bonn potential [15,16] and the covariant spectator theory [17,18] 1 .…”
Section: Introductionmentioning
confidence: 99%
“…Furthermore, we performed fits based on the potentials of Ref. [55] (EMN) at order N 2 LO including the consistent 3N (with same c i ) force contributions at this order for cutoff values of 450 MeV, 500 MeV, and 550 MeV (dashed lines) and n exp = 4. Figure 1 shows that the c E values are of natural size for the entire range of c D values and all employed NN interactions.…”
Section: Arxiv:161208010v3 [Nucl-th] 24 Apr 2018mentioning
confidence: 99%
“…In contrast the NN interactions derived in Refs. [44,55,57] have been regularized using a different, non-local regulator of the form…”
Section: Arxiv:161208010v3 [Nucl-th] 24 Apr 2018mentioning
confidence: 99%