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Title: Ab initio calculation of the potential bubble nucleus Si 34

Abstract

Background: The possibility that an unconventional depletion (referred to as a “bubble”) happens in the middle of the charge density distribution of certain nuclei due to a purely quantum mechanical effect has attracted theoretical and experimental attention in recent years. Based on a mean-field rationale, a correlation between the occurrence of such a semibubble and an anomalously weak splitting between low angular-momentum spin-orbit partners has been further conjectured. Energy density functional and valence-space shell model calculations have been performed to identify and characterize the best candidates, among which Si 34 appears as a particularly interesting case. While the experimental determination of the charge density distribution of the unstable Si 34 is currently out of reach, ($d, p$) experiments on this nucleus have been performed recently to test the correlation between the presence of a bubble and an anomalously weak 1/2 –3/2 splitting in the spectrum of Si 35 as compared to S 37 . Purpose: We study the potential bubble structure of Si 34 on the basis of the state-of-the-art ab initio self-consistent Green's function many-body method. Methods: We perform the first ab initio calculations of Si 34 and S 36 . In addition to binding energies, the first observables of interest are the charge density distribution and the charge root-mean-square radius for which experimental data exist in S 36 . The next observable of interest is the low-lying spectroscopy of Si 35 and S 37 obtained from ($d, p$) experiments along with the spectroscopy of Al 33 and P 35 obtained from knock-out experiments. The interpretation in terms of the evolution of the underlying shell structure is also provided. The study is repeated using several chiral effective field theory Hamiltonians as a way to test the robustness of the results with respect to input internucleon interactions. The convergence of the results with respect to the truncation of the many-body expansion, i.e., with respect to the many-body correlations included in the calculation, is studied in detail. We eventually compare our predictions to state-of-the-art multireference energy density functional and shell model calculations. Results: The prediction regarding the (non)existence of the bubble structure in Si 34 varies significantly with the nuclear Hamiltonian used. Yet, demanding that the experimental charge density distribution and the root-mean-square radius of S 36 be well reproduced, along with Si 34 and S 36 binding energies, only leaves the NNLO sat Hamiltonian as a serious candidate to perform this prediction. In this context, a bubble structure, whose fingerprint should be visible in an electron scattering experiment of Si 34 , is predicted. Furthermore, a clear correlation is established between the occurrence of the bubble structure and the weakening of the 1/2 –3/2 splitting in the spectrum of Si 35 as compared to S 37 . Conclusions: The occurrence of a bubble structure in the charge distribution of Si 34 is convincingly established on the basis of state-of-the-art ab initio calculations. This prediction will have to be reexamined in the future when improved chiral nuclear Hamiltonians are constructed. On the experimental side, present results act as a strong motivation to measure the charge density distribution of Si 34 in future electron scattering experiments on unstable nuclei. In the meantime, it is of interest to perform one-neutron removal on Si 34 and S 36 in order to further test our theoretical spectral strength distributions over a wide energy range.

Authors:
 [1];  [2];  [3];  [4];  [5]
  1. Univ. Paris-Saclay, Gif-sur-Yvette (France); Katholieke Univ. Leuven, Heverlee (Belgium). Inst. voor Kern- en Stralingsfysica; Michigan State Univ., East Lansing, MI (United States). Dept. of Physics and Astronomy
  2. Univ. Paris-Saclay, Gif-sur-Yvette (France)
  3. Katholieke Univ. Leuven, Heverlee (Belgium). Inst. voor Kern- en Stralingsfysica
  4. Univ. of Surrey, Guildford (United Kingdom). Dept. of Physics
  5. TRIUMF, Vancouver, BC (Canada)
Publication Date:
Research Org.:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1565610
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review C
Additional Journal Information:
Journal Volume: 95; Journal Issue: 3; 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

Duguet, Thomas, Somà, Vittorio, Lecluse, Simon, Barbieri, C., and Navrátil, P. Ab initio calculation of the potential bubble nucleus Si34. United States: N. p., 2017. Web. doi:10.1103/physrevc.95.034319.
Duguet, Thomas, Somà, Vittorio, Lecluse, Simon, Barbieri, C., & Navrátil, P. Ab initio calculation of the potential bubble nucleus Si34. United States. doi:10.1103/physrevc.95.034319.
Duguet, Thomas, Somà, Vittorio, Lecluse, Simon, Barbieri, C., and Navrátil, P. Thu . "Ab initio calculation of the potential bubble nucleus Si34". United States. doi:10.1103/physrevc.95.034319. https://www.osti.gov/servlets/purl/1565610.
@article{osti_1565610,
title = {Ab initio calculation of the potential bubble nucleus Si34},
author = {Duguet, Thomas and Somà, Vittorio and Lecluse, Simon and Barbieri, C. and Navrátil, P.},
abstractNote = {Background: The possibility that an unconventional depletion (referred to as a “bubble”) happens in the middle of the charge density distribution of certain nuclei due to a purely quantum mechanical effect has attracted theoretical and experimental attention in recent years. Based on a mean-field rationale, a correlation between the occurrence of such a semibubble and an anomalously weak splitting between low angular-momentum spin-orbit partners has been further conjectured. Energy density functional and valence-space shell model calculations have been performed to identify and characterize the best candidates, among which Si34 appears as a particularly interesting case. While the experimental determination of the charge density distribution of the unstable Si34 is currently out of reach, ($d, p$) experiments on this nucleus have been performed recently to test the correlation between the presence of a bubble and an anomalously weak 1/2––3/2– splitting in the spectrum of Si35as compared to S37. Purpose: We study the potential bubble structure of Si34 on the basis of the state-of-the-art ab initio self-consistent Green's function many-body method. Methods: We perform the first ab initio calculations of Si34 and S36. In addition to binding energies, the first observables of interest are the charge density distribution and the charge root-mean-square radius for which experimental data exist in S36. The next observable of interest is the low-lying spectroscopy of Si35 and S37 obtained from ($d, p$) experiments along with the spectroscopy of Al33 and P35 obtained from knock-out experiments. The interpretation in terms of the evolution of the underlying shell structure is also provided. The study is repeated using several chiral effective field theory Hamiltonians as a way to test the robustness of the results with respect to input internucleon interactions. The convergence of the results with respect to the truncation of the many-body expansion, i.e., with respect to the many-body correlations included in the calculation, is studied in detail. We eventually compare our predictions to state-of-the-art multireference energy density functional and shell model calculations. Results: The prediction regarding the (non)existence of the bubble structure in Si34 varies significantly with the nuclear Hamiltonian used. Yet, demanding that the experimental charge density distribution and the root-mean-square radius of S36 be well reproduced, along with Si34 and S36 binding energies, only leaves the NNLO sat Hamiltonian as a serious candidate to perform this prediction. In this context, a bubble structure, whose fingerprint should be visible in an electron scattering experiment of Si34, is predicted. Furthermore, a clear correlation is established between the occurrence of the bubble structure and the weakening of the 1/2––3/2– splitting in the spectrum of Si35 as compared toS37. Conclusions: The occurrence of a bubble structure in the charge distribution of Si34 is convincingly established on the basis of state-of-the-art ab initio calculations. This prediction will have to be reexamined in the future when improved chiral nuclear Hamiltonians are constructed. On the experimental side, present results act as a strong motivation to measure the charge density distribution of Si34 in future electron scattering experiments on unstable nuclei. In the meantime, it is of interest to perform one-neutron removal on Si34 and S36 in order to further test our theoretical spectral strength distributions over a wide energy range.},
doi = {10.1103/physrevc.95.034319},
journal = {Physical Review C},
issn = {2469-9985},
number = 3,
volume = 95,
place = {United States},
year = {2017},
month = {3}
}

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