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

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 D 2 or CD 4 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 Smore » 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.« less
 [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:
Report Number(s):
Journal ID: ISSN 2469-9985; PRVCAN
Grant/Contract Number:
AC52-06NA25396; FC52-08NA28512; FG03-93ER40773
Accepted Manuscript
Journal Name:
Physical Review C
Additional Journal Information:
Journal Volume: 93; Journal Issue: 4; Journal ID: ISSN 2469-9985
Research Org:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org:
USDOE National Nuclear Security Administration (NNSA)
Country of Publication:
United States
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; laser-cluster fusion, astrophysical S-factor, fusion cross-section
OSTI Identifier:
Alternate Identifier(s):
OSTI ID: 1248069