Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2010-06-18
Phys.Rev.Lett.106:222502,2011
Physics
Nuclear Physics
Nuclear Theory
4pages, 4 figures, to be published in PRL
Scientific paper
10.1103/PhysRevLett.106.222502
We present a new ab-initio method that uses similarity renormalization group (SRG) techniques to continuously diagonalize nuclear many-body Hamiltonians. In contrast with applications of the SRG to two- and three-nucleon interactions in free space, we perform the SRG evolution "in medium" directly in the $A$-body system of interest. The in-medium approach has the advantage that one can approximately evolve $3,...,A$-body operators using only two-body machinery based on normal-ordering techniques. The method is nonperturbative and can be tailored to problems ranging from the diagonalization of closed-shell nuclei to the construction of effective valence shell-model Hamiltonians and operators. We present first results for the ground-state energies of $^4$He, $^{16}$O and $^{40}$Ca, which have accuracies comparable to coupled-cluster calculations.
Bogner Scott K.
Schwenk Achim
Tsukiyama Koichi
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