It is shown that the Wu-Feenberg (WF) approximation for the radial distribution of a Slater-Jastrow function can be reformulated in a way which should improve the approximation in low orders, as judged by the test case where the Jastrow factor is replaced by the boson ground state of the Hamiltonian of interest. It is also shown that the lowest order of another approximation scheme due to Paulick and Campbell appears to be a partial resummation of the WF approximation. The energy expectation value is evaluated for "homework" neutron matter and liquid 3He using these approximations and compared to the Monte Carlo evaluation of the same quantity by Ceperley, Chester and Kalos (CCK) and the FHNC/4 approximation. There is excellent agreement for neutron matter in the density range 0.17 to 4.0 fm-3; the agreement for liquid 3He is fair but has room for improvement.
Bibliographical noteFunding Information:
f Dedicated to the memory of Eugene Feenberg . Research supported in part by the National Science Foundation under Grants DMR7(r14777 and DMR78-09276, and by the Research Corporation. rt Presentaddress:DepartmentofPhysics,NorthwesternUniversity,Evanston,Illinois. 135
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