Nuclear structure in the framework of the unitary correlation operator method. Roth, R., Neff, T., & Feldmeier, H. Progress in Particle and Nuclear Physics, 65(1):50–93, 2010. doi abstract bibtex Correlations play a crucial role in the nuclear many-body problem. We give an overview of recent developments in nuclear structure theory aiming at the description of these interaction-induced correlations by unitary transformations. We focus on the Unitary Correlation Operator Method (UCOM), which offers a very intuitive, universal and robust approach for the treatment of short-range correlations. We discuss the UCOM formalism in detail and highlight the connections to other methods for the description of short-range correlations and the construction of effective interactions. In particular, we juxtapose UCOM with the Similarity Renormalization Group (SRG) approach, which implements the unitary transformation of the Hamiltonian through a very flexible flow-equation formulation. The UCOM- and SRG-transformed interactions are compared on the level of matrix elements and in many-body calculations within the no-core shell model and with the HartreeFock plus perturbation theory for a variety of nuclei and observables. These calculations provide a detailed picture of the similarities and differences as well as the advantages and limitations of unitary transformation methods. \textcopyright 2010 Elsevier B.V. All rights reserved.
@article{Roth2010,
abstract = {Correlations play a crucial role in the nuclear many-body problem. We give an overview of recent developments in nuclear structure theory aiming at the description of these interaction-induced correlations by unitary transformations. We focus on the Unitary Correlation Operator Method (UCOM), which offers a very intuitive, universal and robust approach for the treatment of short-range correlations. We discuss the UCOM formalism in detail and highlight the connections to other methods for the description of short-range correlations and the construction of effective interactions. In particular, we juxtapose UCOM with the Similarity Renormalization Group (SRG) approach, which implements the unitary transformation of the Hamiltonian through a very flexible flow-equation formulation. The UCOM- and SRG-transformed interactions are compared on the level of matrix elements and in many-body calculations within the no-core shell model and with the HartreeFock plus perturbation theory for a variety of nuclei and observables. These calculations provide a detailed picture of the similarities and differences as well as the advantages and limitations of unitary transformation methods. {\textcopyright} 2010 Elsevier B.V. All rights reserved.},
archivePrefix = {arXiv},
arxivId = {1003.3624},
author = {Roth, Robert and Neff, Thomas and Feldmeier, Hans},
doi = {10.1016/j.ppnp.2010.02.003},
eprint = {1003.3624},
issn = {01466410},
journal = {Progress in Particle and Nuclear Physics},
keywords = {Nuclear structure theory,Short-range correlations,Similarity Renormalization Group,Unitary Correlation Operator Method},
number = {1},
pages = {50--93},
title = {{Nuclear structure in the framework of the unitary correlation operator method}},
volume = {65},
year = {2010}
}
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