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Static spin-stripe order and superconductivity were systematically studied inLa_2-xBa_xCuO_4 (0.11 - 0.17) at ambient pressure by means of magnetization andmuSR experiments. We find that all the investigated La_2-xBa_xCuO_4 samplesexhibit static spin-stripe order and that the quasi two-dimensionalsuperconducting (SC) transition temperature T_c1 and the static spin-stripeorder temperature T_so have very similar values throughout the phase diagram.Moreover, the magnetic and the SC properties of the x = 0.155 (LBCO-0.155) andx = 0.17 (LBCO-0.17) samples were studied under hydrostatic pressure. As aremarkable result, in these bulk cuprate superconductors the three-dimensionalSC transition temperature T_c and T_so nearly coincide at all pressureinvestigated (0 - 2.3 GPa). We also observed a pressure induced transition fromlong-range spin stripe order to a disordered magnetic state at 1.6 GPa inLBCO-0.155, coexisting with a SC state with substantial superfluid density. InLBCO-0.17 a disordered magnetic state is present at all p. The present resultsindicate that static magnetic order and SC pairing correlations develop in acooperative fashion in La_2-xBa_xCuO_4, and provide a new route ofunderstanding the complex interplay between static magnetism andsuperconductivity in the stripe phase of cuprates.

Cooperative coupling of static magnetism and bulk superconductivity in the stripe phase of La_2-xBa_xCuO_4: Pressure- and doping-dependent studies