and nuclei within the no-core shell model with continuum
Abstract
The production of $^7Be$ and $^7Li$ nuclei plays an important role in primordial nucleosynthesis, nuclear astrophysics, and fusion energy generation. The $^3He(α,γ) ^7Be$ and $^3H(α,γ) 7Li$ radiative-capture processes are important to determine the $^7Li$ abundance in the early universe and to predict the correct fraction of $pp$ -chain branches resulting in $^7Be$ versus $^8B$ neutrinos. The $^6Li(p,γ) ^7Be$ has been investigated recently hinting at a possible cross section enhancement near the threshold. The $^6Li (n,^3H) ^4He$ process can be utilized for tritium breeding in machines dedicated to fusion energy generation through the deuteron-tritium reaction, and is a neutron cross section standard used in the measurement and evaluation of fission cross sections. In this work we study the properties of $^7Be$ and $^7Li$ within the no-core shell model with continuum (NCSMC) method, using chiral nucleon-nucleon interactions as the only input, and analyze all the binary mass partitions involved in the formation of these systems. The NCSMC is an ab initio method applicable to light nuclei that provides a unified description of bound and scattering states and thus is well suited to investigate systems with many resonances and pronounced clustering like $^7Be$ and $^7Li$. Our calculations reproduce all the experimentally known statesmore »
- Authors:
-
- TRIUMF, Vancouver, British Columbia (Canada)
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
- Univ. of Paris-Sud, Orsay (France). Inst. of Nuclear Physics
- Publication Date:
- Research Org.:
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA)
- OSTI Identifier:
- 1561456
- Alternate Identifier(s):
- OSTI ID: 1547964
- Report Number(s):
- LLNL-JRNL-777984
Journal ID: ISSN 2469-9985; 971810; TRN: US2000617
- Grant/Contract Number:
- AC52-07NA27344; SCW1158; SCW0498
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review C
- Additional Journal Information:
- Journal Volume: 100; Journal Issue: 2; 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
Vorabbi, Matteo, Navrátil, Petr, Quaglioni, Sofia, and Hupin, Guillaume. Be7 and Li7 nuclei within the no-core shell model with continuum. United States: N. p., 2019.
Web. doi:10.1103/PhysRevC.100.024304.
Vorabbi, Matteo, Navrátil, Petr, Quaglioni, Sofia, & Hupin, Guillaume. Be7 and Li7 nuclei within the no-core shell model with continuum. United States. https://doi.org/10.1103/PhysRevC.100.024304
Vorabbi, Matteo, Navrátil, Petr, Quaglioni, Sofia, and Hupin, Guillaume. Thu .
"Be7 and Li7 nuclei within the no-core shell model with continuum". United States. https://doi.org/10.1103/PhysRevC.100.024304. https://www.osti.gov/servlets/purl/1561456.
@article{osti_1561456,
title = {Be7 and Li7 nuclei within the no-core shell model with continuum},
author = {Vorabbi, Matteo and Navrátil, Petr and Quaglioni, Sofia and Hupin, Guillaume},
abstractNote = {The production of $^7Be$ and $^7Li$ nuclei plays an important role in primordial nucleosynthesis, nuclear astrophysics, and fusion energy generation. The $^3He(α,γ) ^7Be$ and $^3H(α,γ) 7Li$ radiative-capture processes are important to determine the $^7Li$ abundance in the early universe and to predict the correct fraction of $pp$ -chain branches resulting in $^7Be$ versus $^8B$ neutrinos. The $^6Li(p,γ) ^7Be$ has been investigated recently hinting at a possible cross section enhancement near the threshold. The $^6Li (n,^3H) ^4He$ process can be utilized for tritium breeding in machines dedicated to fusion energy generation through the deuteron-tritium reaction, and is a neutron cross section standard used in the measurement and evaluation of fission cross sections. In this work we study the properties of $^7Be$ and $^7Li$ within the no-core shell model with continuum (NCSMC) method, using chiral nucleon-nucleon interactions as the only input, and analyze all the binary mass partitions involved in the formation of these systems. The NCSMC is an ab initio method applicable to light nuclei that provides a unified description of bound and scattering states and thus is well suited to investigate systems with many resonances and pronounced clustering like $^7Be$ and $^7Li$. Our calculations reproduce all the experimentally known states of the two systems and provide predictions for several new resonances of both parities. Some of these new possible resonances are built on the ground states of $^6Li$ and $^6He$, and thus represent a robust prediction. We do not find any resonance in the $p + ^6Li$ mass partition near the threshold. On the other hand, in the $p + ^6He$ mass partition of $^7Li$ we observe an $S$ -wave resonance near the threshold producing a very pronounced peak in the calculated $S$ factor of the $^6He (p,γ)$ $^7Li$ radiative-capture reaction. While we do not find a resonance near the threshold in the $p + ^6Li$ channel, in the case of $^6He + p$ reaction a resonant S -wave state is predicted at a very low energy above the reaction threshold, which could be relevant for astrophysics and its implications should be investigated. We note though that this state lies above the three-body breakup threshold not included in our method and may be influenced by three-body continuum correlations.},
doi = {10.1103/PhysRevC.100.024304},
journal = {Physical Review C},
number = 2,
volume = 100,
place = {United States},
year = {2019},
month = {8}
}
Web of Science
Figures / Tables:

Works referenced in this record:
Astrophysical factor of He Be
journal, June 2013
- Kontos, A.; Uberseder, E.; deBoer, R.
- Physical Review C, Vol. 87, Issue 6
Consistent cluster model description of the electromagnetic properties of lithium and beryllium nuclei
journal, November 1986
- Mertelmeier, T.; Hofmann, H. M.
- Nuclear Physics A, Vol. 459, Issue 2
Sharpening the Predictions of Big-Bang Nucleosynthesis
journal, May 1999
- Burles, Scott; Nollett, Kenneth M.; Truran, James W.
- Physical Review Letters, Vol. 82, Issue 21
Ab initio no core shell model
journal, March 2013
- Barrett, Bruce R.; Navrátil, Petr; Vary, James P.
- Progress in Particle and Nuclear Physics, Vol. 69
Resonating-group method for nuclear many-body problems
journal, November 1978
- Tang, Y. C.; LeMere, M.; Thompsom, D. R.
- Physics Reports, Vol. 47, Issue 3
Cross section of the reaction 6Li(p, γ)7Be
journal, November 1979
- Switkowski, Z. E.; Heggie, J. C. P.; Kennedy, D. L.
- Nuclear Physics A, Vol. 331, Issue 1
experiments can serve as a database for determining the three-nucleon force
journal, April 2008
- Hofmann, H. M.; Hale, G. M.
- Physical Review C, Vol. 77, Issue 4
Angular Distributions for 6Li(p,g)7Be
journal, January 1987
- Tingwell, Ciw; King, Jd; Sargood, Dg
- Australian Journal of Physics, Vol. 40, Issue 3
New measurement of the He( , ) Be cross section at medium energies
journal, September 2012
- Carmona-Gallardo, M.; Nara Singh, B. S.; Borge, M. J. G.
- Physical Review C, Vol. 86, Issue 3
The R -matrix theory
journal, February 2010
- Descouvemont, P.; Baye, D.
- Reports on Progress in Physics, Vol. 73, Issue 3
Estimating reaction rates and uncertainties for primordial nucleosynthesis
journal, May 2000
- Nollett, Kenneth M.; Burles, Scott
- Physical Review D, Vol. 61, Issue 12
The structure of the resonating group equation
journal, March 1982
- Fliessbach, T.; Walliser, H.
- Nuclear Physics A, Vol. 377, Issue 1
Energy levels of light nuclei A=5, 6, 7
journal, September 2002
- Tilley, D. R.; Cheves, C. M.; Godwin, J. L.
- Nuclear Physics A, Vol. 708, Issue 1-2
Primordial nucleosynthesis
journal, April 2016
- Gustavino, C.; Anders, M.; Bemmerer, D.
- The European Physical Journal A, Vol. 52, Issue 4
Nuclear Charge Radii of and the One-Neutron Halo Nucleus
journal, February 2009
- Nörtershäuser, W.; Tiedemann, D.; Žáková, M.
- Physical Review Letters, Vol. 102, Issue 6
LUNA: Status and prospects
journal, January 2018
- Broggini, C.; Bemmerer, D.; Caciolli, A.
- Progress in Particle and Nuclear Physics, Vol. 98
Stellar and Primordial Nucleosynthesis of : Measurement of
journal, June 2009
- Di Leva, A.; Gialanella, L.; Kunz, R.
- Physical Review Letters, Vol. 102, Issue 23
Few-nucleon forces from chiral Lagrangians
journal, June 1994
- van Kolck, U.
- Physical Review C, Vol. 49, Issue 6
Four-nucleon force in chiral effective field theory
journal, August 2006
- Epelbaum, E.
- Physics Letters B, Vol. 639, Issue 5
Microscopic approach based on a multiscale algebraic version of the resonating group model for radiative capture reactions
journal, December 2017
- Solovyev, Alexander S.; Igashov, Sergey Yu.
- Physical Review C, Vol. 96, Issue 6
Properties of in the Ab Initio Nuclear Shell Model
journal, June 2000
- Navrátil, P.; Vary, J. P.; Barrett, B. R.
- Physical Review Letters, Vol. 84, Issue 25
Table of nuclear moments
journal, July 1989
- Raghavan, Pramila
- Atomic Data and Nuclear Data Tables, Vol. 42, Issue 2
The 3He(α, γ)7Be and 3He(α, γ)7Li reactions at astrophysical energies
journal, December 1986
- Kajino, Toshitaka
- Nuclear Physics A, Vol. 460, Issue 3
Astrophysical and direct capture reactions in a potential-model approach
journal, March 2018
- Tursunov, E. M.; Turakulov, S. A.; Kadyrov, A. S.
- Physical Review C, Vol. 97, Issue 3
Gamow shell model description of radiative capture reactions 6 Li( p , γ ) 7 Be and 6 Li( n , γ ) 7 Li
journal, March 2017
- Dong, G. X.; Michel, N.; Fossez, K.
- Journal of Physics G: Nuclear and Particle Physics, Vol. 44, Issue 4
(α,γ Li reaction at low energies
journal, October 1994
- Brune, C. R.; Kavanagh, R. W.; Rolfs, C.
- Physical Review C, Vol. 50, Issue 4
Accurate charge-dependent nucleon-nucleon potential at fourth order of chiral perturbation theory
journal, October 2003
- Entem, D. R.; Machleidt, R.
- Physical Review C, Vol. 68, Issue 4
Activation measurement of the reaction cross section at high energies
journal, June 2013
- Bordeanu, C.; Gyürky, Gy.; Halász, Z.
- Nuclear Physics A, Vol. 908
Effective chiral lagrangians for nucleon-pion interactions and nuclear forces
journal, September 1991
- Weinberg, Steven
- Nuclear Physics B, Vol. 363, Issue 1
Theoretical calculation of the radiative capture reaction
journal, July 2019
- Gnech, Alex; Marcucci, Laura Elisa
- Nuclear Physics A, Vol. 987
Large-basis ab initio no-core shell model and its application to
journal, October 2000
- Navrátil, P.; Vary, J. P.; Barrett, B. R.
- Physical Review C, Vol. 62, Issue 5
Modified two-body potential approach to the peripheral direct capture astrophysical reaction and asymptotic normalization coefficients
journal, January 2007
- Igamov, S. B.; Yarmukhamedov, R.
- Nuclear Physics A, Vol. 781, Issue 1-2
The electric moments of 7Li from coulomb scattering
journal, August 1991
- Voelk, H. -G.; Fick, D.
- Nuclear Physics A, Vol. 530, Issue 2
Nuclear forces from chiral lagrangians
journal, November 1990
- Weinberg, Steven
- Physics Letters B, Vol. 251, Issue 2
Cross section of around the proton separation threshold
journal, May 2019
- Szücs, T.; Kiss, G. G.; Gyürky, Gy.
- Physical Review C, Vol. 99, Issue 5
Nuclear charge- and magnetization-density-distribution parameters from elastic electron scattering
journal, November 1974
- De Jager, C. W.; De Vries, H.; De Vries, C.
- Atomic Data and Nuclear Data Tables, Vol. 14, Issue 5-6
Radiative Proton Capture on
journal, July 2001
- Sauvan, E.; Marqués, F. M.; Wilschut, H. W.
- Physical Review Letters, Vol. 87, Issue 4
Similarity renormalization group for nucleon-nucleon interactions
journal, June 2007
- Bogner, S. K.; Furnstahl, R. J.; Perry, R. J.
- Physical Review C, Vol. 75, Issue 6
Constraining the 7Be(p,γ)8B S-factor with the new precise 7Be solar neutrino flux from Borexino
journal, February 2018
- Takács, M. P.; Bemmerer, D.; Junghans, A. R.
- Nuclear Physics A, Vol. 970
Coupled-channel R-matrix method on a Lagrange mesh
journal, September 1998
- Hesse, M.; Sparenberg, J. -M.; Van Raemdonck, F.
- Nuclear Physics A, Vol. 640, Issue 1
A drop in the reaction at low energies
journal, October 2013
- He, J. J.; Chen, S. Z.; Rolfs, C. E.
- Physics Letters B, Vol. 725, Issue 4-5
and astrophysical S factors from the no-core shell model with continuum
journal, June 2016
- Dohet-Eraly, Jérémy; Navrátil, Petr; Quaglioni, Sofia
- Physics Letters B, Vol. 757
Experimental status of 7 Be production and destruction at astrophysical relevant energies
journal, January 2016
- Leva, A. Di; Gialanella, L.; Strieder, F.
- Journal of Physics: Conference Series, Vol. 665
Radiative capture of protons by light nuclei at low energies
journal, March 1992
- Cecil, F. E.; Ferg, D.; Liu, H.
- Nuclear Physics A, Vol. 539, Issue 1
New Precision Measurement of the Cross Section
journal, December 2004
- Singh, B. S. Nara; Hass, M.; Nir-El, Y.
- Physical Review Letters, Vol. 93, Issue 26
Electromagnetic excitation of aligned nuclei
journal, July 1985
- Weller, A.; Egelhof, P.; Čaplar, R.
- Physical Review Letters, Vol. 55, Issue 5
Astrophysical factor of the ( ) reaction measured at low energy via detection of prompt and delayed γ rays
journal, June 2007
- Confortola, F.; Bemmerer, D.; Costantini, H.
- Physical Review C, Vol. 75, Issue 6
Nucleon-nucleon potential from an effective chiral Lagrangian
journal, March 1994
- Ordóñez, C.; Ray, L.; van Kolck, U.
- Physical Review Letters, Vol. 72, Issue 13
Nuclear-matter distribution in the proton-rich nuclei 7Be and 8B from intermediate energy proton elastic scattering in inverse kinematics
journal, September 2019
- Dobrovolsky, A. V.; Korolev, G. A.; Inglessi, A. G.
- Nuclear Physics A, Vol. 989
Radiative α -capture cross sections from realistic nucleon-nucleon interactions and variational Monte Carlo wave functions
journal, April 2001
- Nollett, Kenneth M.
- Physical Review C, Vol. 63, Issue 5
Three-nucleon forces from chiral effective field theory
journal, December 2002
- Epelbaum, E.; Nogga, A.; Glöckle, W.
- Physical Review C, Vol. 66, Issue 6
Microscopic Calculation of the and Capture Cross Sections Using Realistic Interactions
journal, January 2011
- Neff, Thomas
- Physical Review Letters, Vol. 106, Issue 4
Determination of the Be asymptotic normalization coefficients, the nuclear vertex constants, and their application for the extrapolation of the He( Be astrophysical factors to the solar energy region
journal, April 2012
- Tursunmahatov, Q. I.; Yarmukhamedov, R.
- Physical Review C, Vol. 85, Issue 4
Energy dependence of the astrophysical factor for the reaction
journal, November 2004
- Prior, R. M.; Spraker, M. C.; Amthor, A. M.
- Physical Review C, Vol. 70, Issue 5
Solar fusion cross sections. II. The chain and CNO cycles
journal, April 2011
- Adelberger, E. G.; García, A.; Robertson, R. G. Hamish
- Reviews of Modern Physics, Vol. 83, Issue 1
Unitary correlation operator method and similarity renormalization group: Connections and differences
journal, June 2008
- Roth, R.; Reinhardt, S.; Hergert, H.
- Physical Review C, Vol. 77, Issue 6
The cosmological lithium problem revisited
conference, January 2016
- Bertulani, C. A.; Mukhamedzhanov, A. M.
- THERMOPHYSICS 2016: 21st International Meeting, AIP Conference Proceedings
Unified ab initio approaches to nuclear structure and reactions
journal, April 2016
- Navrátil, Petr; Quaglioni, Sofia; Hupin, Guillaume
- Physica Scripta, Vol. 91, Issue 5
astrophysical factor
journal, November 2007
- Brown, T. A. D.; Bordeanu, C.; Snover, K. A.
- Physical Review C, Vol. 76, Issue 5
Study of the 3 He( 4 He,?) 7 Be and 3 H( 4 He,?) 7 Li Reactions in an Extended Two-Cluster Model
journal, November 2000
- Cs�t�, A.; Langanke, K.
- Few-Body Systems, Vol. 29, Issue 1-3
Flow-equations for Hamiltonians
journal, January 1994
- Wegner, Franz
- Annalen der Physik, Vol. 506, Issue 2
Evolution of Nuclear Many-Body Forces with the Similarity Renormalization Group
journal, August 2009
- Jurgenson, E. D.; Navrátil, P.; Furnstahl, R. J.
- Physical Review Letters, Vol. 103, Issue 8
First measurement of the ) transition strength in : Testing predictions for nuclei
journal, June 2019
- Henderson, S. L.; Ahn, T.; Caprio, M. A.
- Physical Review C, Vol. 99, Issue 6
Solving the resonating-group equation on a Lagrange mesh
journal, October 2002
- Hesse, M.; Roland, J.; Baye, D.
- Nuclear Physics A, Vol. 709, Issue 1-4
Deuteron-induced nucleon transfer reactions within an ab initio framework: First application to -shell nuclei
journal, May 2016
- Raimondi, Francesco; Hupin, Guillaume; Navrátil, Petr
- Physical Review C, Vol. 93, Issue 5
Ab initio predictions for polarized deuterium-tritium thermonuclear fusion
journal, January 2019
- Hupin, Guillaume; Quaglioni, Sofia; Navrátil, Petr
- Nature Communications, Vol. 10, Issue 1
Activation Measurement of the Cross Section at Low Energy
journal, September 2006
- Bemmerer, D.; Confortola, F.; Costantini, H.
- Physical Review Letters, Vol. 97, Issue 12
Solar fusion cross sections
journal, October 1998
- Adelberger, Eric G.; Austin, Sam M.; Bahcall, John N.
- Reviews of Modern Physics, Vol. 70, Issue 4
Radiative 3He( $\alpha , \gamma$ α , γ )7Be reaction in halo effective field theory
journal, May 2018
- Higa, Renato; Rupak, Gautam; Vaghani, Akshay
- The European Physical Journal A, Vol. 54, Issue 5
From low-momentum interactions to nuclear structure
journal, July 2010
- Bogner, S. K.; Furnstahl, R. J.; Schwenk, A.
- Progress in Particle and Nuclear Physics, Vol. 65, Issue 1
Direct-Capture Model for the and Reactions
journal, September 1963
- Tombrello, T. A.; Parker, P. D.
- Physical Review, Vol. 131, Issue 6
Solar fusion cross sections
text, January 1998
- Gilles, Bogaert,; A., Duba, Charles; M., Heeger, Karsten
- The University of North Carolina at Chapel Hill University Libraries
Primordial Nucleosynthesis
journal, January 2016
- Coc, A.
- Journal of Physics: Conference Series, Vol. 665
Radiative Proton Capture on 6He
text, January 2001
- Angélique, J. C.; Marqués, F. M.; Orr, N. A.
- The American Physical Society
From low-momentum interactions to nuclear structure
text, January 2009
- Bogner, S. K.; Furnstahl, R. J.; Schwenk, A.
- arXiv
The Cosmological Lithium Problem Revisited
text, January 2016
- Bertulani, C. A.; Mukhamedzhanov, A. M.
- arXiv
Nuclear-matter distribution in the proton-rich nuclei $^7$Be and $^8$B from intermediate energy proton elastic scattering in inverse kinematics
text, January 2019
- Dobrovolsky, A. V.; Korolev, G. A.; Inglessi, A. G.
- arXiv
Three-Nucleon Forces from Chiral Effective Field Theory
text, January 2002
- Epelbaum, E.; Nogga, A.; Glöckle, W.
- arXiv
Accurate Charge-Dependent Nucleon-Nucleon Potential at Fourth Order of Chiral Perturbation Theory
text, January 2003
- Entem, D. R.; Machleidt, R.
- arXiv
Figures / Tables found in this record: