Spin Dependence in Low-Energy Neutron-Proton Scattering

Sromicki, J.; Holslin, D.; Barker, Jonathan; Quin, P.A.; Haeberli, W.

doi:10.1103/physrevlett.57.2359

Cited by 25 publications

(3 citation statements)

References 9 publications

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“…The Nijmegen PWA result is taken from [107]. Data for the cross section are taken from [108] and for the analyzing power from [109,110]. The cut-offs Λ andΛ are varied as specified in eq.…”

Section: Effective Range Expansionmentioning

confidence: 99%

The two-nucleon system at next-to-next-to-next-to-leading order

2005

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We consider the two-nucleon system at next-to-next-to-next-to-leading order (N^3LO) in chiral effective field theory. The two-nucleon potential at N^3LO consists of one-, two- and three-pion exchanges and a set of contact interactions with zero, two and four derivatives. In addition, one has to take into account various isospin-breaking and relativistic corrections. We employ spectral function regularization for the multi-pion exchanges. Within this framework, it is shown that the three-pion exchange contribution is negligibly small. The low-energy constants (LECs) related to pion-nucleon vertices are taken consistently from studies of pion-nucleon scattering in chiral perturbation theory. The total of 26 four-nucleon LECs has been determined by a combined fit to some np and pp phase shifts from the Nijmegen analysis together with the nn scattering length. The description of nucleon-nucleon scattering and the deuteron observables at N^3LO is improved compared to the one at NLO and NNLO. The theoretical uncertainties in observables are estimated based on the variation of the cut-offs in the spectral function representation of the potential and in the regulator utilized in the Lippmann-Schwinger equation.Comment: 62 pp, 13 fig

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Section: Effective Range Expansionmentioning

confidence: 99%

The two-nucleon system at next-to-next-to-next-to-leading order

2005

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“…Nijmegen [13] a for the fit of the np analysing power data at 25 MeV (16 data points) [36]. b D-state probability of the deuteron.…”

Section: Discussionmentioning

confidence: 99%

“…In this example, we are more specific as far as the χ 2 is concerned. We have choosen a particular set of NN data, namely the np analysing power (A y ) data at 25 MeV, which have been measured with great accuracy [36]. This experimental data set tests, in particular, the triplet P-waves.…”

Section: On-shell Properties and Nuclear Structurementioning

confidence: 99%

Nucleon-nucleon potentials in comparison: Physics or polemics?

Machleidt¹,

1994

Physics Reports

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Guided by history, we review the major developments concerning realistic nucleon-nucleon (NN) potentials since the pioneering work by Kuo and Brown on the effective nuclear interaction. Our main emphasis is on the physics underlying various models for the NN interaction developed over the past quarter-century. We comment briefly on how to test the quantitative nature of nuclear potentials properly. A correct calculation (performed by independent researchers) of the χ 2 /datum for the fit of the world NN data yields 5.1, 3.7, and 1.9 for the Nijmegen, Paris, and Bonn potential, respectively. Finally, we also discuss in detail the relevance of the on-and off-shell properties of NN potentials for microscopic nuclear structure calculations.

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The theory of the nucleon-nucleon interaction

Mau

2001

An Advanced Course in Modern Nuclear Physics

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Spin Dependence in Low-Energy Neutron-Proton Scattering

Cited by 25 publications

References 9 publications

The two-nucleon system at next-to-next-to-next-to-leading order

The two-nucleon system at next-to-next-to-next-to-leading order

Nucleon-nucleon potentials in comparison: Physics or polemics?

The theory of the nucleon-nucleon interaction

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