Operator evolution for ab initio theory of light nuclei. Schuster, M. D., Quaglioni, S., Johnson, C. W., Jurgenson, E. D., & Navrátil, P. *Physical Review C - Nuclear Physics*, 2014.

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doi abstract bibtex

The past two decades have seen a revolution in ab initio calculations of nuclear properties. One key element has been the development of a rigorous effective interaction theory, applying unitary transformations to soften the nuclear Hamiltonian and hence accelerate the convergence as a function of the model space size. For consistency, however, one ought to apply the same transformation to other operators when calculating transitions and mean values from the eigenstates of the renormalized Hamiltonian. Working in a translationally invariant harmonic oscillator basis for the two- and three-nucleon systems, we evolve the Hamiltonian, square radius, and total dipole strength operators by the similarity renormalization group (SRG). The inclusion of up to three-body matrix elements in the 4He nucleus all but completely restores the invariance of the expectation values under the transformation. We also consider a Gaussian operator with adjustable range; short ranges have the largest absolute renormalization when including two- and three-body induced terms, while at long ranges the induced three-body contribution takes on increased relative importance. \textcopyright 2014 American Physical Society.

@article{Schuster2014b, abstract = {The past two decades have seen a revolution in ab initio calculations of nuclear properties. One key element has been the development of a rigorous effective interaction theory, applying unitary transformations to soften the nuclear Hamiltonian and hence accelerate the convergence as a function of the model space size. For consistency, however, one ought to apply the same transformation to other operators when calculating transitions and mean values from the eigenstates of the renormalized Hamiltonian. Working in a translationally invariant harmonic oscillator basis for the two- and three-nucleon systems, we evolve the Hamiltonian, square radius, and total dipole strength operators by the similarity renormalization group (SRG). The inclusion of up to three-body matrix elements in the 4He nucleus all but completely restores the invariance of the expectation values under the transformation. We also consider a Gaussian operator with adjustable range; short ranges have the largest absolute renormalization when including two- and three-body induced terms, while at long ranges the induced three-body contribution takes on increased relative importance. {\textcopyright} 2014 American Physical Society.}, author = {Schuster, Micah D. and Quaglioni, Sofia and Johnson, Calvin W. and Jurgenson, Eric D. and Navr{\'{a}}til, Petr}, doi = {10.1103/PhysRevC.90.011301}, issn = {1089490X}, journal = {Physical Review C - Nuclear Physics}, number = {1}, title = {{Operator evolution for ab initio theory of light nuclei}}, volume = {90}, year = {2014} }

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