Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Open Access

Experimental Signatures of a New Channel of the Deuteron-Deuteron Reaction at Very Low Energy

R. Dubey1,*, K. Czerski1, Gokul Das H.1, A. Kowalska2, N. Targosz-Sleczka1, M. Kaczmarski1, and M. Valat1

  • *Contact author: rakesh.dubey@usz.edu.pl

Phys. Rev. X 15, 041004 – Published 7 October, 2025

DOI: https://doi.org/10.1103/chlp-b215

Abstract

The discovery of a new, e+e− reaction channel in deuteron-deuteron (DD) fusion at very low energies might have major implications for understanding primordial and stellar nucleosynthesis, where electron-positron reaction channels are typically not considered. It could also enable research on metal hydride fusion, potentially paving the way for the design and construction of next-generation fusion energy sources. Following the first experimental indications of electron emission, we present here an extensive experimental study confirming emission of high-energy electrons from DD reaction at very low energy. A simultaneous use of Si charged particle detectors of different thicknesses and large-volume NaI(Tl) and HPGe detectors has allowed the determination of the branching ratios between emitted protons, neutrons, and e+e− pairs for deuteron energies down to 5 keV. The high-energy positrons could be unambiguously detected by their bremsstrahlung spectra and annihilation radiation, supported by the geant4 Monte Carlo simulations. The theoretical calculations, based on a destructive interference between the threshold resonance and the known broad resonance in He4, agree very well with experimentally observed increase of branching ratios for lowering projectile energies. The partial width of the threshold resonance for the internal e+e− pair creation should be at least 10 times larger than that of the proton channel.

View figure in article

Physics Subject Headings (PhySH)

Popular Summary

Article Text

References (37)

  1. W. A. Fowler, Experimental and theoretical nuclear astrophysics: The quest for the origin of the elements, Rev. Mod. Phys. 56, 149 (1984).
  2. C. Rolfs and W. S. Rodney, Cauldrons in the Cosmos (University of Chicago Press, Chicago, 1988).
  3. C. Iliadis, Nuclear Physics of Stars (Wiley-VCH Verlag GmbH & Co., Weinheim, 2015), Chap. 4, p. 323.
  4. Rachid Ouyed, W. R. Fundamenski, G. R. Cripps, and P. G. Sutherland, D-D fusion in the interior of Jupiter?, Astrophys. J. 501, 367 (1998).
  5. S. Ichimaru and H. Kitamura, Pycnonuclear reactions in dense astrophysical and fusion plasmas, Phys. Plasmas 6, 2649 (1999).
  6. K. Czerski, DD nuclear reactions at extremely low energies, Phys. Rev. C 106, L011601 (2022).
  7. K. Czerski, D. Weissbach, A. I. Kilic, G. Ruprecht, A. Huke, M. Kaczmarski, N. Targosz-Ślęczka, and K. Maass, Screening and resonance enhancements of the H2(d,p)H3 reaction yield in metallic environments, Europhys. Lett. 113, 22001 (2016).
  8. V. A. Sergeyev, New He4 levels and the difference in angular distributions for the reactions D(d,n)He3 and D(d,p)H3, Phys. Lett. 38B, 286 (1972).
  9. D. R. Tilley, H. R. Weller, and G. M. Hale, Energy levels of light nuclei A=4, Nucl. Phys. A541, 1 (1992).
  10. K. Czerski, R. Dubey, M. Kaczmarski, A. Kowalska, N. Targosz-Ślęczka, G. Das Haridas, and M. Valat, Indications of electron emission from the DD threshold resonance, Phys. Rev. C 109, L021601 (2024).
  11. R. Dubey, K. Czerski, H. Gokul Das, M. Kaczmarski, A. Kowalska, N. Targosz-Ślęczkaczka, and M. Valat, Observation of a new decay channel of the DD threshold resonance, Acta Phys. Pol. B 17, 3-A35 (2024).
  12. A. Csótó and G. M. Hale, Nature of the first excited state of He4, Phys. Rev. C 55, 2366 (1997).
  13. E. Hiyama, B. F. Gibson, and M. Kamimura, Four-body calculation of the first excited state of He4 using a realistic NN interaction: He4(e,e′)He4(0+) and the monopole sum rule, Phys. Rev. C 70, 031001(R) (2004).
  14. N. Michel, W. Nazarewicz, and M. Płoszajczak, Description of the proton-decaying 0+ resonance of the alpha particle, Phys. Rev. Lett. 131, 242502 (2023).
  15. H. M. Hoffmann and G. M. Hale, He4 experiments can serve as a database for determining the three-nucleon force, Phys. Rev. C 77, 044002 (2008).
  16. K. Arai, S. Aoyama, Y. Suzuki, P. Descouvemont, and D. Baye, Tensor force manifestations in ab initio study of the H2(d,γ)He4, H2(d,p)H3, and H2(d,n)He3 reactions, Phys. Rev. Lett. 107, 132502 (2011).
  17. S. Aoyama, K. Arai, Y. Suzuki, P. Descouvemont, and D. Baye, Tensor force manifestations in ab initio study of H2(d,γ)He4, Few-Body Syst. 52, 97 (2012).
  18. A. Cvetinović et al., Electron screening in palladium, Phys. Lett. B 838, 137684 (2023).
  19. A. Kowalska et al., Crystal lattice defects in deuterated Zr in the presence of O and C impurities studied by PAS and XRD for electron screening effect, Materials 16, 6255 (2023).
  20. M. Kaczmarski, A. I. Kilic, K. Czerski, A. Kowalska, D. Weissbach, N. Targosz-Sleczka, A. Huke, and G. Ruprecht, New accelerator facility for measurements of nuclear reactions at energies below 1 keV, Acta Phys. Pol. B 45, 509 (2014).
  21. H. Gokul Das, R. Dubey, K. Czerski, M. Kaczmarski, A. Kowalska, N. Targosz-Ślęczka, and M. Valat, High-energy electron measurements with thin Si detectors, Measurement 228, 114392 (2024).
  22. S. Agostinelli, Ll. Font, and C. Baixeras, geant4—A simulation toolkit, Nucl. Instrum. Methods Phys. Res., Sect. A 506, 186 (2003).
  23. R. Dubey, H. Gokul Das, K. Czerski, M. Kaczmarski, A. Kowalska, N. Targosz-Ślęczka, and M. Valat, Energy spectra assessment of NaI(Tl), NE113, and NE213 scintillators in very low-energy fusion studies, Fusion Sci. Technol., 10.1080/15361055.2025.2520724 (2025).
  24. B. A. Faddegon, L. Van der Zwan, D. W. O. Rogers, and C. K. Ross, Precision response estimation, energy calibration, and unfolding of spectra measured with a large NaI detector, Nucl. Instrum. Methods Phys. Res., Sect. A 301, 138 (1991).
  25. C. W. Sandifer and M. Taherzadeh, Measurement of linac thick-target bremsstrahlung spectra using a large NaI scintillation spectrometer, IEEE Trans. Nucl. Sci. 15, 336 (1968).
  26. M. Morhac, Deconvolution methods and their applications in the analysis of γ-ray spectra, Nucl. Instrum. Methods Phys. Res., Sect. A 559, 119 (2006).
  27. Y. Nagai, T. Kikuchi, T. Kii, T. S. Suzuki, T. Murakami, T. Shima, and T. Ohsaki, I127(n,γ)I128 reaction in NaI(Tl) due to cosmic-ray muon capture by Pb, Nucl. Instrum. Methods Phys. Res., Sect. A 368, 498 (1996).
  28. C. Hagmann, D. Lange, and D. Wright, Cosmic-ray shower generator (CRY) for Monte Carlo transport codes, in Proceedings of the IEEE Nuclear Science Symposium and Medical Imaging Conference (NSS/MIC 2007): Honolulu, Hawaii, (2007), p. 1143.
  29. Joseph W. Fowler et al., Spectroscopic measurements and models of energy deposition in the substrate of quantum circuits by natural ionizing radiation, PRX Quantum 5, 040323 (2024).
  30. M. B. Chadwick et al., ENDF/B-VII.0: Next generation evaluated nuclear data library for nuclear science and technology, Nucl. Data Sheets 107, 2931 (2006).
  31. A. I. Blokhin, E. V. Gai, A. V. Ignatyuk, I. I. Koba, V. N. Manokhin, and V. G. Pronyaev, New version of neutron evaluated data library BROND-3.1, Probl. At. Sci. Technol. Ser. Nucl. React. Constants 2, 2 (2016).
  32. A. A. J. M. Plompen, O. Cabellos, C. De Saint Jean, M. Fleming, A. Algora, M. Angelone, P. Archier, E. Bauge, O. Bersillon, A. Blokhin, and F. Cantargi, The joint evaluated fission and fusion nuclear data library, JEFF-3.3, Eur. Phys. J. A 56, 181 (2020).
  33. O. Iwamoto, K. Shibata, N. Iwamoto, S. Kunieda, F. Minato, A. Ichihara, and S. Nakayama, Status of the JENDL project, EPJ Web Conf. 146, 02005 (2017).
  34. Reference database for neutron activation analysis, International Atomic Energy Agency, https://www-nds.iaea.org/naa/.
  35. K. Bergaoui, N. Reguigui, C. K. Gary, C. Brown, J. T. Cremer, J. H. Vainionpaa, and M. A. Piestrup, Monte Carlo simulation of explosive detection system based on a deuterium–deuterium (D-D) neutron generator, Appl. Radiat. Isot. 94, 118 (2014).
  36. R. Dubey, K. Czerski, H. Gokul Das, M. Kaczmarski, A. Kowalska, N. Targosz-Ślęczka, and M. Valat, Observation of electron emissions from the DD reaction: Its implications in fundamental and applied research, Acta Phys. Pol. A 146, 5 (2024).
  37. K. Czerski, R. Dubey, M. Kaczmarski, A. Kowalska, N. Targosz-Ślęczka, G. Das Haridas, and M. Valat, Observation of thermal deuteron-deuteron fusion in ion tracks, arXiv:2409.02112.

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation