Two-particle correlations with textrm{K}^{0}_mathrm{{S}}, Lambda /overline{Lambda }, and charged hadrons as trigger particles in the transverse momentum range 8{<}p_{{textrm{T}},{textrm{trig}}}{<}16 GeV/c, and associated charged particles within 1{<}p_{{textrm{T}},{textrm{assoc}}}{<}8 GeV/c, are studied at midrapidity in pp and central Pb–Pb collisions at a centre-of-mass energy per nucleon–nucleon collision sqrt{s_{textrm{NN}}}~=~5.02 TeV with the ALICE detector at the LHC. After subtracting the contributions of the flow background, the per-trigger yields are extracted on both the near and away sides, and the ratio in Pb–Pb collisions with respect to pp collisions (I_{textrm{AA}}) is computed. The per-trigger yield in Pb–Pb collisions on the away side is strongly suppressed to the level of I_{textrm{AA}}approx 0.6 for p_{{textrm{T}},{textrm{assoc}}}>3 GeV/c as expected from strong in-medium energy loss, while an enhancement develops at low p_{{textrm{T}},{textrm{assoc}}} on both the near and away sides, reaching I_{textrm{AA}}approx 1.8 and 2.7 respectively. These findings are in good agreement with previous ALICE measurements from two-particle correlations triggered by neutral pions (pi ^{0}–h) and charged hadrons (h–h) in Pb–Pb collisions at sqrt{s_{textrm{NN}}}~=~2.76 TeV. Moreover, the correlations with textrm{K}^{0}_mathrm{{S}} mesons and Lambda /overline{Lambda } baryons as trigger particles are compared to those of inclusive charged hadrons. The results are compared with the predictions of Monte Carlo models.
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