In this paper we study the method of effective interaction as it is currently applied to few-body nuclear systems, i.e., the no-core approach. We have demonstrated that in the limit of very large model space, the no-core effective Hamiltonian is equivalent to the bare Hamiltonian transformed by a unitary transformation. This result is exact to second order in the norm of the two-body Lee-Suzuki similarity transformation operator. Using this result we propose a relation between the effective A-body wave function and the bare wave function. Verifying this proposition through numerical calculations we have found that the resulting wave function is a rather good approximation.
Bibliographical noteFunding Information:
G. A. acknowledges financial support from the Narodowe Centrum Nauki within the "Harmonia 3" program, grant number 2012/06/M/ST4/00037. M. G. acknowledges financial support by the DFG through SFB 1078. A. R. and E. V. thank Nikolaus Ernsting for help with the FLUPS set-up and acknowledge financial support from the SNF (No. 200020-147098) and the University of Geneva.