The coexisting regime of spin-density wave (SDW) and superconductivity in iron pnictides represents a novel ground state. We have performed high-resolution angle-resolved photoemission measurements on NaFe 1Àx Co x As (x ¼ 0:0175) in this regime and revealed its distinctive electronic structure, which provides some microscopic understandings of its behavior. The SDW signature and the superconducting gap are observed on the same bands, illustrating the intrinsic nature of the coexistence. However, because the SDW and superconductivity are manifested in different parts of the band structure, their competition is nonexclusive. Particularly, we find that the gap distribution is anisotropic and nodeless, in contrast to the isotropic superconducting gap observed in a SDW-free NaFe 1Àx Co x As (x ¼ 0:045), which puts strong constraints on theory. For iron-pnictide superconductors, a spin-density wave (SDW) phase appears next to the superconducting (SC) phase [5][6][7], and, in some cases, they even coexist [8][9][10][11][12][13], which gives a unique SC ground state. While the coexisting SDW and SC phases may have a significant impact on the SC mechanism [9], much is not clear about the subtle interacting nature between magnetism and superconductivity [14]. In fact, theories based on s þþ pairing symmetry suggest that there must be nodes in the SC gap in this regime [15], and the coexisting SDW and SC phases cannot be microscopic [9]. On the other hand, theories based on s þÀ pairing symmetry suggest nodeless SC gaps in the presence of weak magnetic order; moreover, the coexistence may cause angular variation of the SC gap and even give rise to nodes in the limit of strong antiferromagnetic (AFM) ordering [15,16], as indicated in a thermal conductivity study on Ba 1Àx K x Fe 2 As 2 [17].The coexistence of SDW and superconductivity in various iron pnictides has been illustrated by neutron scattering [8][9][10][11][12], nuclear magnetic resonance [18,19], and angleresolved photoemission spectroscopy (ARPES) experiments [13]. Recent scanning tunneling microscope (STM) studies show the real-space coexistence and competition of SDW and superconductivity in NaFe 1Àx Co x As [20,21]. However, so far, little is known regarding the electronic structure of the coexisting phase in the momentum space, such as its SC gap distribution, and how the two orders coexist and compete in the same electronic structure. In this paper, we report ARPES studies on NaFe 0:9825 Co 0:0175 As in this coexisting regime. The bandstructure reconstruction corresponding to the SDW formation and the SC gap could be observed on the same bands, which provides direct evidence for the intrinsic coexistence of the two orders. We find that SDW formation does not cause much depletion of the states near the Fermi energy (E F ); therefore, this formation allows the superconductivity to occur. Moreover, the SC gap distribution is found to be nodeless on all Fermi surface sheets: It is isotropic on the hole pocket, but it is highly anisotropic on the electron pocke...