%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 isotopes
in a one-dimensional environment. The interaction parameters between species were
modeled by delta potentials, whose strengths were taken from their experimental scattering
lengths and varied by changing the transversal confinement. This implies a repulsive
interaction for the $^{173}$Yb-$^{173}$Yb pair, a strong attractive one for the $^{173}$Yb-$^{171}$Yb
set 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 a
mixture of six $^{173}$Yb species and two $^{171}$Yb spin types.
%K 1D cold gases
%K Fermions
%~ GOEDOC, SUB GOETTINGEN