Spatial asymmetry of neutron pairing:A distance-resolved study of ${}^{46}\mathrm{T}\mathrm{i}$

Distance integration can conceal the spatial organization of neutron pairing in a reflection-asymmetric intrinsic configuration. We resolve the spin-singlet pairing tensor by relative distance and signed pair-center position along a prescribed $\alpha$+${}^{42}$Ca-like path in ${}^{46}$Ti, using density-constrained Skyrme Hartree–Fock plus Bardeen–Cooper–Schrieffer calculations. Compact and extended components have oppositely signed shifts relative to the normal-density product conditioned on the same distance interval. At a reference center separation of 6 fm, the distance-integrated difference is 0.010, whereas the compact–extended contrast is 0.439. For the baseline surface-pairing prescription, this contrast increases between reference center separations of 6 and 7 fm while the extended anomalous weight decreases and the average neutron gap increases. Endpoint partitions locate an excess of extended neutron weight with both nucleons on the core side. An interference-retaining analysis in the stored canonical representation links the anomalous redistribution to $f_{7\mathrm{/}2}$-weighted branches gaining core-side support with distinct amplitude responses. Changes in the normal-density reference contribute separately to the growing contrast. The conditional neutron pattern persists under the tested functional and pairing variations. Distance-conditioned distributions thus reveal intrinsic pairing structure hidden by scalar measures and distance integration.