Wide separation lensing statistics offer information about the density profile and abundance of dark halos .
Recently a possible discovery of six quasar pairs , which may be lensed multiple images , was reported by Miller et al .
( 2003 ) .
These pairs are selected from a catalog of the 2dF quasar ( QSO ) survey comprising 22163 quasars .
We calculate expected numbers of lensed quasars taking account of the redshift and magnitude distributions of the quasar catalog .
Given some of the six pairs are genuine lensed systems , we put interesting constraints on the inner slope of dark halos , \Omega _ { 0 } , and \sigma _ { 8 } .
We show that the detection of even one lens with separation > 30 ^ { \prime \prime } is marginally consistent with models that have cuspy inner density profile , \rho \propto r ^ { -1.5 } , and very large \sigma _ { 8 } , \sigma _ { 8 } \ga 1.2 for \Omega _ { 0 } = 0.3 .
To reconcile with constraints from X-ray clusters or cosmic shear , much lower \Omega _ { 0 } and much higher \sigma _ { 8 } are needed , although such high \sigma _ { 8 } seems too extreme .
The shallower inner density profile \rho \propto r ^ { -1 } is hardly acceptable .
In particular , the expected number of lenses with separation > 200 ^ { \prime \prime } is too small to explain the discovery of such anomalously wide separation lens systems .
These results imply that we miss some important systematic effects , there is a problem in the cold dark matter scenario , or none of these six quasar pairs is likely to be lensed images .