%0 Journal Article %A Gordillo, M.C. %T Pairing in SU(6) $\times$ SU(2) one-dimensional fermionic clusters %D 2020 %@ 2469-9926 %U http://hdl.handle.net/10433/10525 %X We present diffusion Monte Carlo (DMC) calculations on the behavior of a mixture of $^{173}$Yb and $^{171}$Yb fermionic isotopesin a one-dimensional environment. The interaction parameters between species weremodeled by delta potentials, whose strengths were taken from their experimental scatteringlengths and varied by changing the transversal confinement. This implies a repulsiveinteraction for the $^{173}$Yb-$^{173}$Yb pair, a strong attractive one for the $^{173}$Yb-$^{171}$Ybset and a weak attraction between $^{171}$Yb-$^{171}$Yb atoms.Those arrangements were described by a corrected geminal multiplied by the appropriate set of Jastrow functions.We found that, for the same number of strong attractive pairs, the width of the cluster decreases when the number of fermionic species increases, the narrower cluster being the one that includes amixture of six $^{173}$Yb species and two $^{171}$Yb spin types. %K 1D cold gases %K Fermions %~