We analyze the results by chiral N N models for the two-nucleon system and calculate the predictions for the nucleon vector analyzing power of elastic nucleon-deuteron (N d) scattering, A y , by these models. Our conclusion is that a quantitative chiral two-nucleon potential does not resolve the N d A y puzzle (when only two-body forces are included).PACS numbers: 21.30.+y, 21.45.+v, 25.10.+s, 27.10+h The term A y puzzle refers to the inability to explain the nucleon vector analyzing power A y in elastic nucleon-deuteron (Nd) scattering below 30 MeV laboratory energy for the incident nucleon by means of three-body calculations in which only two-nucleon forces are applied. The problem showed up as soon as it was possible to conduct three-body continuum calculations with realistic NN potentials. The first such calculation was performed by Stolk and Tjon [1] in 1978 using the Reid soft-core potential [2], and the first calculations with (a separable representation of) the Paris potential [3] were conducted by the Graz-Osaka group in 1987 [4]; in both cases, the A y predictions showed the characteristic problem. Finally, the 'puzzle' became proverbial when rigorous three-nucleon continuum Faddeev calculations using realistic forces were started on a large scale [5]. Over the years, many measurements and calculations of Nd A y were performed (including the pd reaction that involves the Coulomb force [6]) which all confirmed that the problem was real (see Ref.[7] for a review): For energies below 20 MeV, the A y is predicted about 30% too small in the angular region around 120 deg center-of-mass angle where the maximum occurs.There have been many attempts to solve the problem. Already in the very early stages of three-body continuum calculations, when only schematic NN potentials were applied, it was noticed that the Nd A y predictions depend very sensitively on the strength of the input NN potential in the triplet P waves [8,9]-a sensitivity that was confirmed in later calculations using realistic forces [10]. Based upon this experience, Wita la and Glöckle [11] showed in 1991 that small changes in those 3 P wave potentials could remove the discrepancy. This finding gave rise to systematic investigations of the question whether the small variations of the low-energy phase shifts of, particularly, those triplet P waves necessary to explain the Nd A y are consistent with the NN data base. While Tornow and coworkers [12] suggest that the low-energy NN data may leave some lattitude in the NN 3 P waves that could * On leave from University of Salamanca, Spain. Another important observation has been that conventional three-nucleon forces (when added to a realistic two-nucleon potential) change the predictions for Nd A y only slightly and do not improve them [14,6]. Therefore, the general perception in the community has shifted towards the believe that the A y puzzle is the 'smoking gun' for new types of three-nucleon forces [15][16][17][18] or new physics [19].However, very recently, there has been an apparent indicatio...