1S0 nucleon-nucleon scattering in the modified Weinberg approach

Epelbaum, E.; Gasparyan, A. M.; Gegelia, J.; Krebs, H.

doi:10.1140/epja/i2015-15071-6

Cited by 73 publications

(176 citation statements)

References 62 publications

(91 reference statements)

Supporting

Mentioning

165

Contrasting

Order By: Relevance

“…The OPEP is, however, singular at the origin and requires regularization and renormalization. Therefore, instead of using the quantum mechanical approach, we formulate the LET within the modified Weinberg approach of chiral EFT [17,24,33,34]. Since the correlations between the effective range expansion parameters are inherently long-range phenomena, the results after renormalization and removing the ultraviolet cutoff should be model and regularization-scheme independent.…”

Section: Low-energy Theorems For Nn Scatteringmentioning

confidence: 99%

Low-energy theorems for nucleon-nucleon scattering atMπ=450MeV

2016

Self Cite

View full text Add to dashboard Cite

We apply the low-energy theorems to analyze the recent lattice QCD results for the two-nucleon system at a pion mass of Mπ 450 MeV obtained by the NPLQCD collaboration. We find that the binding energies of the deuteron and dineutron are inconsistent with the low-energy behavior of the corresponding phase shifts within the quoted uncertainties and vice versa. Using the binding energies of the deuteron and dineutron as input, we employ the low-energy theorems to predict the phase shifts and extract the scattering length and the effective range in the 3 S1 and 1 S0 channels. Our results for these quantities are consistent with those obtained by the NPLQCD collaboration from effective field theory analyses but are in conflict with their determination based on the effectiverange approximation.

show abstract

Section: Low-energy Theorems For Nn Scatteringmentioning

confidence: 99%

Low-energy theorems for nucleon-nucleon scattering atMπ=450MeV

2016

Self Cite

View full text Add to dashboard Cite

show abstract

“…In Refs. [1,3] we formulated an approach to estimate truncation errors, that is the theoretical uncertainty due to neglected contributions from higher orders of the chiral expansion. This novel approach was justified for the case of R = 0.9 fm in the Bayesian analysis of Ref.…”

Section: Elastic Neutron-deuteron Scatteringmentioning

confidence: 99%

“…[1,2] have been tested in elastic Nd scattering and in radiative pd capture. For both processes, the new forces show very promising behavior (reasonable values of observables, good convergence with respect to the chiral order and weak cut-off dependence).…”

Section: The Radiative Proton-deuteron Capture Reactionmentioning

confidence: 99%

“…Recently, the improved 2N forces up to next-to-next-to-next-to-next-to leading order (N 4 LO) were derived by the Bochum-Bonn group [1,2]. Among important new features of these potentials, one should mention especially a new way of fixing values of some low energy constants (LECs) and a new regularization method.…”

Section: Introductionmentioning

confidence: 99%

“…[1,2] have been recently applied not only to 2N scattering but also to the Nd scattering reactions [3]. This very first application proves usefulness of the chiral forces [1,2] in describing properties and processes in the 3N systems. These results will be briefly reported in Section 2.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Studies of three-nucleon systems with improved chiral forces

Skibiński

Golak

Topolnicki

et al. 2016

EPJ Web of Conferences

Self Cite

View full text Add to dashboard Cite

Abstract. Recently developed chiral two-nucleon (2N) potentials are applied to various processes in three-nucleon (3N) systems within the approach based on Faddeev equations. The predictions for the cross sections in elastic nucleon-deuteron (Nd) scattering and for radiative proton-deuteron (pd) capture are similar to results based on the AV18 potential. The very good convergence with respect to the chiral expansion and a weak dependence on a regularization parameter are observed. This gives hope that the Hamiltonian combining these 2N potentials with consistent 3N forces will become an important tool to study nuclear structure and processes.

show abstract

Antinucleon-nucleon interaction at next-to-next-to-next-to-leading order in chiral effective field theory

Dai¹,

Haidenbauer²,

Meißner³

2017

J. High Energ. Phys.

130

View full text Add to dashboard Cite

Abstract:Results for the antinucleon-nucleon (N N ) interaction obtained at next-to-nextto-next-to-leading order in chiral effective field theory (EFT) are reported. A new local regularization scheme is used for the pion-exchange contributions that has been recently suggested and applied in a pertinent study of the N N force within chiral EFT. Furthermore, an alternative strategy for estimating the uncertainty is utilized that no longer depends on a variation of the cutoffs. The low-energy constants associated with the arising contact terms are fixed by a fit to the phase shifts and inelasticities provided by a phase-shift analysis ofpp scattering data. An excellent description of theN N amplitudes is achieved at the highest order considered. Moreover, because of the quantitative reproduction of partial waves up to J = 3, there is also a nice agreement on the level ofpp observables. Specifically, total and integrated elastic and charge-exchange cross sections agree well with the results from the partial-wave analysis up to laboratory energies of 300 MeV, while differential cross sections and analyzing powers are described quantitatively up to 200-250 MeV. The low-energy structure of theN N amplitudes is also considered and compared to data from antiprotonic hydrogen.

show abstract

1S0 nucleon-nucleon scattering in the modified Weinberg approach

Cited by 73 publications

References 62 publications

Low-energy theorems for nucleon-nucleon scattering atMπ=450MeV

Low-energy theorems for nucleon-nucleon scattering atMπ=450MeV

Studies of three-nucleon systems with improved chiral forces

Antinucleon-nucleon interaction at next-to-next-to-next-to-leading order in chiral effective field theory

Contact Info

Product

Resources

About