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Title: Model-independent determination of the astrophysical S factor in laser-induced fusion plasmas

Abstract

In this paper, we present a new and general method for measuring the astrophysical S factor of nuclear reactions in laser-induced plasmas and we apply it to 2H(d,n)3He. The experiment was performed with the Texas Petawatt Laser, which delivered 150–270 fs pulses of energy ranging from 90 to 180 J to D2 or CD4 molecular clusters (where D denotes 2H). After removing the background noise, we used the measured time-of-flight data of energetic deuterium ions to obtain their energy distribution. We derive the S factor using the measured energy distribution of the ions, the measured volume of the fusion plasma, and the measured fusion yields. This method is model independent in the sense that no assumption on the state of the system is required, but it requires an accurate measurement of the ion energy distribution, especially at high energies, and of the relevant fusion yields. In the 2H(d,n)3He and 3He(d,p)4He cases discussed here, it is very important to apply the background subtraction for the energetic ions and to measure the fusion yields with high precision. While the available data on both ion distribution and fusion yields allow us to determine with good precision the S factor in the d+d casemore » (lower Gamow energies), for the d+3He case the data are not precise enough to obtain the S factor using this method. Our results agree with other experiments within the experimental error, even though smaller values of the S factor were obtained. This might be due to the plasma environment differing from the beam target conditions in a conventional accelerator experiment.« less

Authors:
 [1];  [2];  [3];  [4];  [5];  [6];  [7];  [7];  [7];  [8];  [5];  [5];  [2];  [2];  [9];  [5];  [5];  [2];  [5]
  1. Texas A & M Univ., College Station, TX (United States); Univ. degli studi di Enna "Kore", Enna (Italy); LNS-INFN, Catania (Italy)
  2. Texas A & M Univ., College Station, TX (United States)
  3. Texas A & M Univ., College Station, TX (United States); LNS-INFN, Catania (Italy)
  4. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  5. Univ. of Texas at Austin, Austin, TX (United States)
  6. Texas A & M Univ., College Station, TX (United States); Univ. of Dallas, Irving, TX (United States)
  7. Associazione Euratom-ENEA sulla Fusione, Rome (Italy)
  8. Univ. of Milano, Milano (Italy)
  9. Texas A & M Univ., College Station, TX (United States); Univ. of Silesia, Katowice (Poland)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1255278
Alternate Identifier(s):
OSTI ID: 1248069
Report Number(s):
LA-UR-16-20264
Journal ID: ISSN 2469-9985; PRVCAN
Grant/Contract Number:  
AC52-06NA25396; FC52-08NA28512; FG03-93ER40773
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review C
Additional Journal Information:
Journal Volume: 93; Journal Issue: 4; Journal ID: ISSN 2469-9985
Publisher:
APS
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; laser-cluster fusion, astrophysical S-factor, fusion cross-section

Citation Formats

Lattuada, D., Barbarino, M., Bonasera, A., Bang, W., Quevedo, H. J., Warren, M., Consoli, F., De Angelis, R., Andreoli, P., Kimura, S., Dyer, G., Bernstein, A. C., Hagel, K., Barbui, M., Schmidt, K., Gaul, E., Donovan, M. E., Natowitz, J. B., and Ditmire, T.. Model-independent determination of the astrophysical S factor in laser-induced fusion plasmas. United States: N. p., 2016. Web. https://doi.org/10.1103/PhysRevC.93.045808.
Lattuada, D., Barbarino, M., Bonasera, A., Bang, W., Quevedo, H. J., Warren, M., Consoli, F., De Angelis, R., Andreoli, P., Kimura, S., Dyer, G., Bernstein, A. C., Hagel, K., Barbui, M., Schmidt, K., Gaul, E., Donovan, M. E., Natowitz, J. B., & Ditmire, T.. Model-independent determination of the astrophysical S factor in laser-induced fusion plasmas. United States. https://doi.org/10.1103/PhysRevC.93.045808
Lattuada, D., Barbarino, M., Bonasera, A., Bang, W., Quevedo, H. J., Warren, M., Consoli, F., De Angelis, R., Andreoli, P., Kimura, S., Dyer, G., Bernstein, A. C., Hagel, K., Barbui, M., Schmidt, K., Gaul, E., Donovan, M. E., Natowitz, J. B., and Ditmire, T.. Tue . "Model-independent determination of the astrophysical S factor in laser-induced fusion plasmas". United States. https://doi.org/10.1103/PhysRevC.93.045808. https://www.osti.gov/servlets/purl/1255278.
@article{osti_1255278,
title = {Model-independent determination of the astrophysical S factor in laser-induced fusion plasmas},
author = {Lattuada, D. and Barbarino, M. and Bonasera, A. and Bang, W. and Quevedo, H. J. and Warren, M. and Consoli, F. and De Angelis, R. and Andreoli, P. and Kimura, S. and Dyer, G. and Bernstein, A. C. and Hagel, K. and Barbui, M. and Schmidt, K. and Gaul, E. and Donovan, M. E. and Natowitz, J. B. and Ditmire, T.},
abstractNote = {In this paper, we present a new and general method for measuring the astrophysical S factor of nuclear reactions in laser-induced plasmas and we apply it to 2H(d,n)3He. The experiment was performed with the Texas Petawatt Laser, which delivered 150–270 fs pulses of energy ranging from 90 to 180 J to D2 or CD4 molecular clusters (where D denotes 2H). After removing the background noise, we used the measured time-of-flight data of energetic deuterium ions to obtain their energy distribution. We derive the S factor using the measured energy distribution of the ions, the measured volume of the fusion plasma, and the measured fusion yields. This method is model independent in the sense that no assumption on the state of the system is required, but it requires an accurate measurement of the ion energy distribution, especially at high energies, and of the relevant fusion yields. In the 2H(d,n)3He and 3He(d,p)4He cases discussed here, it is very important to apply the background subtraction for the energetic ions and to measure the fusion yields with high precision. While the available data on both ion distribution and fusion yields allow us to determine with good precision the S factor in the d+d case (lower Gamow energies), for the d+3He case the data are not precise enough to obtain the S factor using this method. Our results agree with other experiments within the experimental error, even though smaller values of the S factor were obtained. This might be due to the plasma environment differing from the beam target conditions in a conventional accelerator experiment.},
doi = {10.1103/PhysRevC.93.045808},
journal = {Physical Review C},
number = 4,
volume = 93,
place = {United States},
year = {2016},
month = {4}
}

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Bare-nucleus astrophysical factor of the He 3 ( d , p ) He 4 reaction via the “Trojan horse” method
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Search for electron screening of nuclear reactions at sub-coulomb energies
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One- and two-electron atomic screening in fusion reactions
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Chaos Driven Fusion Enhancement Factor at Astrophysical Energies
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Role of laser-pulse duration in the neutron yield of deuterium cluster targets
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Temperature Measurements of Fusion Plasmas Produced by Petawatt-Laser-Irradiated D 2 He 3 or CD 4 He 3 Clustering Gases
journal, July 2013


Measurement of the Plasma Astrophysical S Factor for the He 3 ( d , p ) He 4 Reaction in Exploding Molecular Clusters
journal, August 2013


Coulomb explosion of hydrogen clusters irradiated by an ultrashort intense laser pulse
journal, August 2006


Nuclear Fusion induced by Coulomb Explosion of Heteronuclear Clusters
journal, June 2001


Dynamics and Control of Shock Shells in the Coulomb Explosion of Very Large Deuterium Clusters
journal, January 2005


Cluster beams in the super-intense femtosecond laser pulse
journal, November 2002


Nuclear Fusion Driven by Coulomb Explosions of Large Deuterium Clusters
journal, March 2000


Laser-driven nonlinear cluster dynamics
journal, June 2010

  • Fennel, Th.; Meiwes-Broer, K. -H.; Tiggesbäumker, J.
  • Reviews of Modern Physics, Vol. 82, Issue 2
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Characterization of deuterium clusters mixed with helium gas for an application in beam-target-fusion experiments
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    Works referencing / citing this record:

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