Abstract
The recently developed chiral nucleon-nucleon ($\mathit{NN}$) potential by E. Epelbaum, W. Gl\"ockle, and Ulf-G. Mei\ss{}ner, Nucl. Phys. A747, 362 (2005) has been employed to study the two-nucleon bound and scattering states. Chiral $\mathit{NN}$ potential up to next-to-next-to-next-to leading order ($\mathrm{N}^{3}\mathrm{LO}$) is used to calculate the $\mathit{np}$ differential cross section and deuteron binding energy in a realistic three dimensional approach. The obtained results based on this helicity representation are compared to the standard partial wave (PW) results. This comparison shows that the 3D approach provides the same accuracy in the description of $\mathit{NN}$ observables and the results are in close agreement with available experimental data.
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