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In noncentrosymmetric superconductors (NCSs), the inversion symmetry (IS) ismost commonly broken by an antisymmetric spin-orbit coupling (SOC) removing thespin degeneracy and splitting the Fermi surface (FS) into two branches. A twocomponent condensate is then produced with a doublet pair potential mixing aneven singlet and an odd triplet. When the triplet and the singlet strengths arecomparable, the pair potential can have rich nodes. The angular line nodes(ALNs) are associated with strong anisotropy and they are widely studied in theliterature. When the anisotropy is not strong, they can be replaced by othertypes of nodes in closed or open forms affecting the low temperatureproperties.  Here, we focus on the weakly anisotropic case and the line nodes in thesuperconducting plane which become circular in the limit of full isotropy. Westudy the topology of these radial line nodes (RLNs) and show that it ischaracterized by the $Z_2$ classification similar to the Quantum-Spin-HallInsulators. From the thermodynamical perspective, the RLNs cause, even in thetopological phases, an exponentially suppressed low temperature behaviour whichcan be mistaken by nodeless s-wave pairing, thus, providing an explanation to anumber of recent experiments with contraversial pairing symmetries. In the rarecase when the RLN is on the Fermi surface, the exponential suppression isreplaced by a linear temperature dependence. The RLNs are difficult to detect,and for this reason, they may have escaped experimental attention. Wedemonstrate that Andreev conductance measurements with clean interfaces canefficiently probe the weakly anisotropic samples where the RLNs are expected tobe found.

Weakly Anisotropic Noncentrosymmetric Superconductors with Radial Line Nodes and Thermodynamical Anomalies