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The spin sector of charge-spin separated single mode quantum wires isstudied, accounting for realistic microscopic electron-electron interactions.We utilize the ladder approximation (LA) to the interaction vertex and exploitthermodynamic relations to obtain spin velocities. Down to not too smallcarrier densities our results compare well with existing quantum Monte-Carlo(QMC) data. Analyzing second order diagrams we identify logarithmicallydivergent contributions as crucial which the LA includes but which are missed,for example, by the self-consistent Hartree-Fock approximation. Contrary toother approximations the LA yields a non-trivial spin conductance. Itsconsiderably smaller computational effort compared to numerically exactmethods, such as the QMC method, enables us to study overall dependences oninteraction parameters. We identify the short distance part of the interactionto govern spin sector properties.Comment: 6 pages, 6 figures, to appear in Physical Review

Ladder approximation to spin velocities in quantum wires