Large basis ab initio shell model investigation of 9Be and 11Be. Forssén, C., Navrátil, P., Ormand, W. E., & Caurier, E. Physical Review C - Nuclear Physics, 71(4):44312, apr, 2005. Paper doi abstract bibtex We present the first ab initio structure investigation of the loosely bound 11Be nucleus, together with a study of the lighter isotope 9Be. The nuclear structure of these isotopes is particularly interesting because of the appearance of a parity-inverted ground state in 11Be. Our study is performed in the framework of the ab initio no-core shell model. Results obtained using four different, high-precision two-nucleon interactions, in model spaces up to 9ℏ$\Omega$, are shown. For both nuclei, and all potentials, we reach convergence in the level ordering of positive- and negative-parity spectra separately. Concerning their relative position, the positive-parity states are always too high in excitation energy, but a fast drop with respect to the negative-parity spectrum is observed when the model space is increased. This behavior is most dramatic for 11Be. In the largest model space we were able to reach, the 1/2 + level has dropped down to become either the first or the second excited state, depending on which interaction we use. We also observe a contrasting behavior in the convergence patterns for different two-nucleon potentials and argue that a three-nucleon interaction is needed to explain the parity inversion. Furthermore, large-basis calculations of 13C and 11B are performed. This allows us to study the systematics of the position of the first unnatural-parity state in the N = 7 isotone and the A = 11 isobar. The 11B run in the 9ℏ$\Omega$ model space involves a matrix with dimension exceeding 1.1 × 109, and is our largest calculation so far. We present results on binding energies, excitation spectra, level configurations, radii, electromagnetic observables, and 10Be + n overlap functions. \textcopyright2005 The American Physical Society.
@article{forssen_large_2005,
abstract = {We present the first ab initio structure investigation of the loosely bound 11Be nucleus, together with a study of the lighter isotope 9Be. The nuclear structure of these isotopes is particularly interesting because of the appearance of a parity-inverted ground state in 11Be. Our study is performed in the framework of the ab initio no-core shell model. Results obtained using four different, high-precision two-nucleon interactions, in model spaces up to 9ℏ$\Omega$, are shown. For both nuclei, and all potentials, we reach convergence in the level ordering of positive- and negative-parity spectra separately. Concerning their relative position, the positive-parity states are always too high in excitation energy, but a fast drop with respect to the negative-parity spectrum is observed when the model space is increased. This behavior is most dramatic for 11Be. In the largest model space we were able to reach, the 1/2 + level has dropped down to become either the first or the second excited state, depending on which interaction we use. We also observe a contrasting behavior in the convergence patterns for different two-nucleon potentials and argue that a three-nucleon interaction is needed to explain the parity inversion. Furthermore, large-basis calculations of 13C and 11B are performed. This allows us to study the systematics of the position of the first unnatural-parity state in the N = 7 isotone and the A = 11 isobar. The 11B run in the 9ℏ$\Omega$ model space involves a matrix with dimension exceeding 1.1 × 109, and is our largest calculation so far. We present results on binding energies, excitation spectra, level configurations, radii, electromagnetic observables, and 10Be + n overlap functions. {\textcopyright}2005 The American Physical Society.},
annote = {From Duplicate 2 (Large basis ab initio shell model investigation of 9Be and 11Be - Forss{\'{e}}n, C.; Navr{\'{a}}til, P.; Ormand, W. E.; Caurier, E.)
Publisher: American Physical Society},
archivePrefix = {arXiv},
arxivId = {nucl-th/0412049},
author = {Forss{\'{e}}n, C. and Navr{\'{a}}til, P. and Ormand, W. E. and Caurier, E.},
doi = {10.1103/PhysRevC.71.044312},
eprint = {0412049},
issn = {1089490X},
journal = {Physical Review C - Nuclear Physics},
month = {apr},
number = {4},
pages = {44312},
primaryClass = {nucl-th},
title = {{Large basis ab initio shell model investigation of 9Be and 11Be}},
url = {http://link.aps.org/doi/10.1103/PhysRevC.71.044312},
volume = {71},
year = {2005}
}
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Concerning their relative position, the positive-parity states are always too high in excitation energy, but a fast drop with respect to the negative-parity spectrum is observed when the model space is increased. This behavior is most dramatic for 11Be. In the largest model space we were able to reach, the 1/2 + level has dropped down to become either the first or the second excited state, depending on which interaction we use. We also observe a contrasting behavior in the convergence patterns for different two-nucleon potentials and argue that a three-nucleon interaction is needed to explain the parity inversion. Furthermore, large-basis calculations of 13C and 11B are performed. This allows us to study the systematics of the position of the first unnatural-parity state in the N = 7 isotone and the A = 11 isobar. The 11B run in the 9ℏ$\\Omega$ model space involves a matrix with dimension exceeding 1.1 × 109, and is our largest calculation so far. 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