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Title: Quantified Gamow shell model interaction for p s d -shell nuclei

Abstract

Background: The structure of weakly bound and unbound nuclei close to particle drip lines is one of the major science drivers of nuclear physics. A comprehensive understanding of these systems goes beyond the traditional configuration interaction approach formulated in the Hilbert space of localized states (nuclear shell model) and requires an open quantum system description. The complex-energy Gamow shell model (GSM) provides such a framework as it is capable of describing resonant and nonresonant many-body states on equal footing. Purpose: To make reliable predictions, quality input is needed that allows for the full uncertainty quantification of theoretical results. In this study, we carry out the optimization of an effective GSM (one-body and two-body) interaction in the psdf-shell-model space. The resulting interaction is expected to describe nuclei with 5 ≤ A ≲ 12 at the p-sd-shell interface. Method: The one-body potential of the 4He core is modeled by a Woods-Saxon + spin-orbit + Coulomb potential, and the finite-range nucleon-nucleon interaction between the valence nucleons consists of central, spin-orbit, tensor, and Coulomb terms. The GSM is used to compute key fit observables. The χ 2 optimization is performed using the Gauss-Newton algorithm augmented by the singular value decomposition technique. The resulting covariancemore » matrix enables quantification of statistical errors within the linear regression approach. Results: The optimized one-body potential reproduces nucleon- 4He scattering phase shifts up to an excitation energy of 20 MeV. The two-body interaction built on top of the optimized one-body field is adjusted to the bound and unbound ground-state binding energies and selected excited states of the helium, lithium, and beryllium isotopes up to A = 9 . A very good agreement with experimental results was obtained for binding energies. First applications of the optimized interaction include predictions for two-nucleon correlation densities and excitation spectra of light nuclei with quantified uncertainties. In conclusion: The new interaction will enable comprehensive and fully quantified studies of structure and reactions aspects of nuclei from the psd region of the nuclear chart.« less

Authors:
 [1];  [2];  [1];  [3];  [4]
  1. Michigan State Univ., East Lansing, MI (United States). NSCL/FRIB Lab.
  2. Physics Inst. of Rosario (CONICET), Rosario (Argentina); National Univ. of Rosario (UNR), Rosario (Argentina). Faculty of Exact Sciences, Engineering and Surveying
  3. Michigan State Univ., East Lansing, MI (United States). Dept. of Physics and Astronomy, NSCL/FRIB Lab.
  4. Centre National de la Recherche Scientifique (CNRS), Caen (France). Centre de Recherche sur les Ions, les Matériaux et la Photonique (CIMAP), Grand Accelerateur National d'Ions Lourds (GANIL)
Publication Date:
Research Org.:
Michigan State Univ., East Lansing, MI (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR) (SC-21)
OSTI Identifier:
1435756
Alternate Identifier(s):
OSTI ID: 1409456
Grant/Contract Number:  
SC0013365; SC0008511; FG02-10ER41700
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review C
Additional Journal Information:
Journal Volume: 96; Journal Issue: 5; Journal ID: ISSN 2469-9985
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats

Jaganathen, Y., Betan, R. M. Id, Michel, N., Nazarewicz, W., and P?oszajczak, M. Quantified Gamow shell model interaction for psd -shell nuclei. United States: N. p., 2017. Web. doi:10.1103/PhysRevC.96.054316.
Jaganathen, Y., Betan, R. M. Id, Michel, N., Nazarewicz, W., & P?oszajczak, M. Quantified Gamow shell model interaction for psd -shell nuclei. United States. doi:10.1103/PhysRevC.96.054316.
Jaganathen, Y., Betan, R. M. Id, Michel, N., Nazarewicz, W., and P?oszajczak, M. Mon . "Quantified Gamow shell model interaction for psd -shell nuclei". United States. doi:10.1103/PhysRevC.96.054316.
@article{osti_1435756,
title = {Quantified Gamow shell model interaction for psd -shell nuclei},
author = {Jaganathen, Y. and Betan, R. M. Id and Michel, N. and Nazarewicz, W. and P?oszajczak, M.},
abstractNote = {Background: The structure of weakly bound and unbound nuclei close to particle drip lines is one of the major science drivers of nuclear physics. A comprehensive understanding of these systems goes beyond the traditional configuration interaction approach formulated in the Hilbert space of localized states (nuclear shell model) and requires an open quantum system description. The complex-energy Gamow shell model (GSM) provides such a framework as it is capable of describing resonant and nonresonant many-body states on equal footing. Purpose: To make reliable predictions, quality input is needed that allows for the full uncertainty quantification of theoretical results. In this study, we carry out the optimization of an effective GSM (one-body and two-body) interaction in the psdf-shell-model space. The resulting interaction is expected to describe nuclei with 5 ≤ A ≲ 12 at the p-sd-shell interface. Method: The one-body potential of the 4He core is modeled by a Woods-Saxon + spin-orbit + Coulomb potential, and the finite-range nucleon-nucleon interaction between the valence nucleons consists of central, spin-orbit, tensor, and Coulomb terms. The GSM is used to compute key fit observables. The χ2 optimization is performed using the Gauss-Newton algorithm augmented by the singular value decomposition technique. The resulting covariance matrix enables quantification of statistical errors within the linear regression approach. Results: The optimized one-body potential reproduces nucleon- 4He scattering phase shifts up to an excitation energy of 20 MeV. The two-body interaction built on top of the optimized one-body field is adjusted to the bound and unbound ground-state binding energies and selected excited states of the helium, lithium, and beryllium isotopes up to A = 9 . A very good agreement with experimental results was obtained for binding energies. First applications of the optimized interaction include predictions for two-nucleon correlation densities and excitation spectra of light nuclei with quantified uncertainties. In conclusion: The new interaction will enable comprehensive and fully quantified studies of structure and reactions aspects of nuclei from the psd region of the nuclear chart.},
doi = {10.1103/PhysRevC.96.054316},
journal = {Physical Review C},
number = 5,
volume = 96,
place = {United States},
year = {Mon Nov 20 00:00:00 EST 2017},
month = {Mon Nov 20 00:00:00 EST 2017}
}

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