First measurements of the absolute branching fraction of Λ<i>_c</i>(2625)<SUP>+</SUP> → Λ<i>_c</i><SUP>+</SUP> π<SUP>+</SUP>π<SUP>-</SUP> and upper limit on Λ<i>_c</i>(2595)<SUP>+</SUP> → Λ<i>_c</i><SUP>+</SUP>π<SUP>+</SUP>π<SUP>-</SUP>

The absolute branching fraction of the decay Lambda(c)(2625)(+) -> Lambda(+)(c)pi(+)pi(-) is measured for the first time to be (50.2 +/- 5.7(stat) +/- 3.5(syst))% with 368.48 pb(-1) of e(+)e(-) collision data collected by the BESIII detector at the center-of-mass energies of root s = 4.918 and 4.950 GeV. Although the central value of the result is lower than the theoretical prediction of 67%, obtained from isospin symmetry, they are consistent taking the uncertainties into account. This is the first absolute branching fraction measurement for Lambda(c)(2625)(+) since it was found. This measurement is necessary to obtain the coupling constants for the transitions between s-wave and p-wave charmed baryons in heavy hadron chiral perturbation theory. In addition, we search for the decay Lambda(c)(2595)(+) -> Lambda(+)(c)pi(+)pi(-). No significant signal is observed, and the upper limit on its branching fraction is determined to be 85.0% at the 90% confidence level.