TY - JOUR
T1 - Unitary boson-boson and boson-fermion mixtures
T2 - third virial coefficient and three-body parameter on a narrow Feshbach resonance
AU - Endo, Shimpei
AU - Castin, Yvan
PY - 2016/11/10
Y1 - 2016/11/10
N2 - We give exact integral expressions of the third cluster or virial coefficients of binary mixtures of ideal Bose or Fermi gases, with interspecies interactions of zero range and infinite s-wave scattering length. In general the result depends on three-body parameters Rt appearing in three-body contact conditions, because an Efimov effect is present or because the mixture is in a preefimovian regime with a mass ratio close to an Efimov-effect threshold. We give a new, exact integral expression of Rt for the microscopic narrow Feshbach resonance model. A divergence of Rt in the preefimovian regime at a scaling exponent s = 1 / 2 is predicted and physically discussed. The analytical results are applied to typical species used in cold atom experiments.
AB - We give exact integral expressions of the third cluster or virial coefficients of binary mixtures of ideal Bose or Fermi gases, with interspecies interactions of zero range and infinite s-wave scattering length. In general the result depends on three-body parameters Rt appearing in three-body contact conditions, because an Efimov effect is present or because the mixture is in a preefimovian regime with a mass ratio close to an Efimov-effect threshold. We give a new, exact integral expression of Rt for the microscopic narrow Feshbach resonance model. A divergence of Rt in the preefimovian regime at a scaling exponent s = 1 / 2 is predicted and physically discussed. The analytical results are applied to typical species used in cold atom experiments.
UR - http://download.springer.com.ezproxy.lib.monash.edu.au/static/pdf/391/art%253A10.1140%252Fepjd%252Fe2016-70481-1.pdf?originUrl=http%3A%2F%2Flink.springer.com%2Farticle%2F10.1140%2Fepjd%2Fe2016-70481-1&token2=exp=1483507729~acl=%2Fstatic%2Fpdf%2F391%2Fart%25253A10.1140%25252Fepjd%25252Fe2016-70481-1.pdf%3ForiginUrl%3Dhttp%253A%252F%252Flink.springer.com%252Farticle%252F10.1140%252Fepjd%252Fe2016-70481-1*~hmac=3aad6f3c6a8de9022524763471ccb7a5059c990e327f5df5d484e7837ad90dbe
U2 - 10.1140/epjd/e2016-70481-1
DO - 10.1140/epjd/e2016-70481-1
M3 - Article
SN - 1434-6060
VL - 70
JO - European Physical Journal D
JF - European Physical Journal D
IS - 11
M1 - 238
ER -