The integral equation for the ground state of the helium atom is iterated to produce a correlated one parameter wave function in momentum space. This new function has second order poles atizgr; and a first order pole at 2izgr;, where zgr; is retained as a variational parameter. The function may be written fgr;(p1p2)=sqrt;2/13thinsp;lsqb;(2zgr;)4/pgr;rsqb;thinsp;lsqb;1/(p1minus;izgr;)2(p2minus;izgr;)2(p1+p2minus;2izgr;)rsqb; with resulting energy expressed asE=(14/13)thinsp;zgr;2+(32/13)thinsp;lsqb;(619/48) minus;20thinsp;lnthinsp;2rsqb;thinsp;zgr;+(16/13)zgr;. Optimizing gives zgr;=1.6391 andE=minus;2.8933 a.u. within 0.0104 a.u. of the exact energy.
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