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High precision study of muon catalyzed fusion in D2 and HD gas

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Muon catalyzed dd fusion in D2 and HD gases in the temperature range from 28 to 350 K was investigated in a series of experiments based on a time-projection ionization chamber operating with pure hydrogen. All main observables in this reaction chain were measured with high absolute precision including the resonant and non-resonant ddμ formation rates, the rate for hyperfine transitions in dμ atoms, the branching ratio of the two charge symmetric fusion channels 3He + n and t + p and the muon sticking probability. The report presents the final analysis of the data together with a comprehensive comparison with calculations based on recent μCF theories. The energy of the loosely bound ddμ state with quantum numbers J = 1, ν = 1, which is central to the mechanism of resonant molecule formation, is extracted with precision ɛ11(fit) = −1.9651(7) eV. in impressive agreement with the latest theoretical results ɛ11(theory) = −1.9646 eV.

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References

  1. W. H. Breunlich, P. Kammel, J. S. Cohen, and M. Leon, Ann. Rev. Nucl. Part. Sci. 39, 311 (1989); S. S. Gershtein, Yu. V. Petrov, and L. I. Ponomarev, Usp. Fiz. Nauk 160, 3 (1990) [Sov. Phys. Usp. 32, 591 (1989)]; L. I. Ponomarev, Contemp. Phys. 31, 219 (1990); L. I. Menshikov, Usp. Fiz. Nauk 160, 47 (1990) [Sov. Phys. Usp. 32, 616 (1989)]; P. Froelich, Adv. Phys. 41, 405 (1992); C. Petitjean, Nucl. Phys. A 543, 79 (1992); L. I. Ponomarev, Hyperfine Interact. 138, 15 (2001).

    Article  ADS  Google Scholar 

  2. F. C. Frank, Nature 160, 525 (1947).

    Article  ADS  Google Scholar 

  3. C. M. G. Lattes, G. P. S. Occhialini, and C. F. Powell, Nature 160, 453 (1947).

    Article  ADS  Google Scholar 

  4. A. D. Sakharov, Rep. Phys. Inst. Acad. Sci. USSR (1948); A. D. Sakharov, Muon Cat. Fusion 4, 235 (1989), and comments by S. S. Gershtein and L. I. Ponomarev, Muon Cat. Fusion 4, 241 (1989).

  5. Ya. B. Zeldovich, Dokl. Akad. Nauk USSR 95, 493 (1954).

    Google Scholar 

  6. L. W. Alvarez et al., Phys. Rev. 105, 1127 (1957).

    Article  ADS  Google Scholar 

  7. J. G. Fetkovich et al., Phys. Rev. Lett. 4, 570 (1960).

    Article  ADS  Google Scholar 

  8. J. Doede, Phys. Rev. 132, 1782 (1963).

    Article  ADS  Google Scholar 

  9. Ya. B. Zeldovich and S. S. Gershtein, Usp. Fiz. Nauk 71, 581 (1960) [Sov. Phys. Usp. 3, 593 (1960)].

    Google Scholar 

  10. V. P. Dzhelepov, Zh. Eksp. Teor. Fiz. 50, 1235 (1966) [Sov. Phys. JETP 23, 820 (1966)].

    Google Scholar 

  11. E. A. Vesman, Pis’ma Zh. Teor. Fiz. 5, 113 (1967) [JETP Lett. 5, 91 (1967)].

    ADS  Google Scholar 

  12. L. I. Ponomarev, I. V. Puzynin, and T. P. Puzynina, J. Comput. Phys. 13, 1 (1973); S. I. Vinitsky et al., JINR Commun. P4-10336 (Dubna, 1976).

    Article  ADS  Google Scholar 

  13. S. I. Vinitsky, L. I. Ponomarev, I. V. Puzynin, et al., Zh. Eksp. Teor. Fiz. 74, 849 (1978) [Sov. Phys. JETP 47, 444 (1978)].

    Google Scholar 

  14. V. M. Bystritski et al., Pis’ma Zh. Eksp. Teor. Fiz. 31, 249 (1979) [JETP Lett. 31, 228 (1980)]; Phys. Lett. B 94, 476 (1980); Zh. Eksp. Teor. Fiz. 80, 1700 (1981) [Sov. Phys. JETP 53, 877 (1981)].

    Google Scholar 

  15. S. S. Gershtein and L. I. Ponomarev, Phys. Lett. B 72, 80 (1977).

    Article  ADS  Google Scholar 

  16. P. Kammel et al., Phys. Lett. B 112, 319 (1982); Phys. Rev. A 28, 2611 (1983); J. Zmeskal et al., Phys. Rev. A 42, 1165 (1990).

    Article  ADS  Google Scholar 

  17. A. Scrinzi et al., Phys. Rev. A 47, 4691 (1993).

    Article  ADS  Google Scholar 

  18. D. V. Balin, E. M. Maev, V. M. Medvedev, G. G. Semenchuk, Yu. V. Smirenin, A. A. Vorobyov, An. A. Vorobyov, and Yu. K. Zalite, Phys. Lett. B 141, 173 (1983); D. V. Balin et al., Pis’ma Zh. Eksp. Teor. Fiz. 40, 318 (1984) [JETP Lett. 40, 1112 (1983)]; D. V. Balin et al., Pis’ma Zh. Eksp. Teor. Fiz. 42, 236 (1985) [JETP Lett. 42, 293 (1983)]; A. A. Vorobyov, Muon Catal. Fusion 2, 17 (1988); D. V. Balin et al., Muon Catal. Fusion 5–6, 163 (1990–1991).

    ADS  Google Scholar 

  19. T. A. Case et al., Hyperfine Interact. 118, 197 (1999).

    Article  ADS  Google Scholar 

  20. P. Ackerbauer et al., Phys. Lett. B. 417, 224 (1998).

    Article  ADS  Google Scholar 

  21. N. I. Voropaev et al., Hyperfine Interact. 138, 331 (2001); PNPI Preprint PNPI-2444 (2001), pp. 1–55; D. V. Balin et al., PNPI Preprint PNPI-2729 (2007), pp. 1–88; N. I. Voropaev et al., in Proceedings of the Intern. Conference on Muon Catal. Fusion and related topics (Dubna, 2007), pp. 67–81.

    Article  ADS  Google Scholar 

  22. V. E. Markushin, Hyperfine Interact. 119, 11 (1999).

    Article  ADS  Google Scholar 

  23. M. P. Faifman and L. I. Men’shikov, Hyperfine Interact. 138, 61 (2001).

    Article  ADS  Google Scholar 

  24. J. Schottmüller et al., Hyperfine Interact. 119, 95 (1999).

    Article  ADS  Google Scholar 

  25. B. Lauss et al., Phys. Rev. Lett. 80, 3041 (1998); Phys. Rev. A. 60, 209 (1999).

    Article  ADS  Google Scholar 

  26. R. Pohl et al., Hyperfine Interact. 138, 35 (2001).

    Article  ADS  Google Scholar 

  27. L. I. Menshikov, L. I. Ponomarev, Pis’ma Zh. Eksp. Teor. Fiz. 42, 12 (1985) [JETP Lett. 42, 13 (1985)].

    Google Scholar 

  28. B. Lauss et al., Phys. Rev. Lett. 76, 4693 (1996).

    Article  ADS  Google Scholar 

  29. B. Lauss et al., Hyperfine Interact. 118, 79 (1999).

    Article  ADS  Google Scholar 

  30. E. J. Bleser, E. W. Anderson, L. M. Lederman, S. L. Meyer, J. L. Rosen, J. E. Rothenberg, and I.-T. Wang, Phys. Rev. 132, 2679 (1963); V. P. Dzhelepov, P. F. Ermolov, V. E. Moskalev, and V. V. Filchenkov, Zh. Eksp. Teor. Fiz. 50, 1235 (1966) [Sov. Phys. JETP 23, 820 (1966)]; J. S. Cohen and M. C. Struensee, Phys. Rev. A 43, 3460 (1991); J. S. Cohen, Hyperfine Interact. 82, 15 (1993); K. Kobayashi, T. Ishihara, and N. Toshima, Muon Catal. Fusion 2, 191 (1988).

    Article  ADS  Google Scholar 

  31. A. Adamczak, Hyperfine Interact. 101–102, 113 (1996).

    Article  Google Scholar 

  32. A. Adamczak and M. P. Faifman, Eur. Phys. J. D 51, 341 (2009).

    Article  ADS  Google Scholar 

  33. S. I. Vinitsky and I. V. Puzynin, Muon Catal. Fusion 3, 307 (1988).

    Google Scholar 

  34. V. I. Korobov, J. Phys. B 37, 2331 (2004).

    Article  ADS  Google Scholar 

  35. A. M. Lane, Phys. Lett. A 98, 337 (1983).

    Article  ADS  Google Scholar 

  36. M. Leon, Phys. Rev. A 33, 4434 (1986).

    Article  ADS  Google Scholar 

  37. L. I. Menshikov, L. I. Ponomarev, T. A. Strizh, and M. P. Faifman, Zh. Eksp. Teor. Fiz. 92, 1173 (1987) [Sov. Phys. JETP 65, 656 (1987)].

    Google Scholar 

  38. D. Bakalov, Muon Catal. Fusion 3, 321 (1988).

    Google Scholar 

  39. S. S. Gershtein, Zh. Eksp. Teor. Fiz. 34, 463 (1958) [Sov. Phys. JETP 7, 318 (1958)]; Zh. Eksp. Teor. Fiz. 40, 698 (1961) [Sov. Phys. JETP 13, 488 (1961)].

    Google Scholar 

  40. L. Bogdanova et al., Phys. Lett. B 115, 171 (1982); Phys. Lett. B 167, 485 (1986).

    Article  ADS  Google Scholar 

  41. D. Bakalov, V. S. Melezhik, L. I. Menshikov, and M. P. Faifman, Zh. Eksp. Teor. Fiz. 94, 61 (1988) [Sov. Phys. JETP 67, 1769 (1988)].

    ADS  Google Scholar 

  42. Y. A. Thalmann et al., Phys. Rev. A 57, 1713 (1998).

    Article  ADS  Google Scholar 

  43. T. Suzuki, D. F. Measday, and J. P. Roalsvig, Phys. Rev. C 35, 2212 (1987).

    Article  ADS  Google Scholar 

  44. H. Imao et al., Phys. Lett. B 658, 120 (2008).

    Article  ADS  Google Scholar 

  45. C. Petitjean et al., Muon Catal. Fusion 5–6, 199 (1990–1991).

    Google Scholar 

  46. J. D. Jackson, Phys. Rev. 106, 330 (1957).

    Article  ADS  Google Scholar 

  47. S. S. Gershtein, Yu. V. Petrov, L. I. Ponomarev, N. P. Popov, I. P. Presnyakov, and L. N. Somov, Zh. Eksp. Teor. Fiz. 80, 1690 (1981) [Sov. Phys. JETP 53, 872 (1981)].

    Google Scholar 

  48. L. N. Bogdanova, V. E. Markushin, V. S. Melezhik, and L. I. Ponomarev, Phys. Lett. B 161, 1 (1985).

    Article  ADS  Google Scholar 

  49. C. Y. Hu and S. K. Kauffmann, Phys. Rev. A 36, 5420 (1987).

    Article  ADS  Google Scholar 

  50. S. E. Haywood, H. J. Monkhorst, and S. A. Alexander, Phys. Rev. A 43, 5847 (1991).

    Article  ADS  Google Scholar 

  51. M. C. Struensee and J. S. Cohen, Phys. Rev. A 38, 44 (1988); J. Cohen, Muon Catal. Fusion 3, 421 (1988).

    Article  ADS  Google Scholar 

  52. V. E. Markushin, Muon Catal. Fusion 3, 395 (1988).

    Google Scholar 

  53. H. Takahashi, Muon Catal. Fusion 3, 453 (1988).

    Google Scholar 

  54. D. I. Abramov, L. N. Bogdanova, V. V. Gusev, and L. I. Ponomarev, Hyperfine Interact. 101–102, 301 (1996).

    Article  Google Scholar 

  55. A. M. Frolov, Phys. Lett. A 291, 274 (2001).

    Article  ADS  Google Scholar 

  56. L. I. Menshikov and L. I. Ponomarev, Pis’ma Zh. Eksp. Teor. Fiz. 41, 511 (1985) [JETP Lett. 41, 623 (1985)].

    Google Scholar 

  57. B. P. Adyasevich et al., Yad. Fiz. 33, 1167 (1981) [Sov. J. Nucl. Phys. 33, 619 (1981)].

    Google Scholar 

  58. L. M. Bogdanova, Muon Catal. Fusion 3, 359 (1988).

    Google Scholar 

  59. G. M. Hale, Muon Catal. Fusion 5–6, 227 (1990–1991).

    Google Scholar 

  60. M. P. Faifman, Muon Catal. Fusion 4, 341 (1989).

    Google Scholar 

  61. M. P. Faifman, T. A. Strizh, E. A. G. Armour, and M. R. Harston, Hyperfine Interact. 101–102, 179 (1996).

    Article  Google Scholar 

  62. E. C. Aschenauer, V. E. Markushin, Hyperfine Interact. 101–102, 97 (1996).

    Article  Google Scholar 

  63. V. E. Markushin et al., PSI preprint PSI-PR-92-26.

  64. V. S. Melezhik and J. Wozniak, JINR Commun. E4-96-113.

  65. A. Adamczak, M. P. Faifman, L. I. Ponomarev, V. I. Korobov, V. S. Melezhik, and R. J. Siegel, At. Data Nucl. Data Tables. 62, 255 (1996).

    Article  ADS  Google Scholar 

  66. L. I. Menshikov and M. P. Faifman, Yad. Fiz. 43, 650 (1985) [Sov. J. Nucl. Phys. 43, 414 (1986)]; M. P. Faifman, L. I. Menshikov, and T. A. Strizh, Muon Catal. Fusion 4, 1 (1989).

    Google Scholar 

  67. Yu. V. Petrov, Nature 285, 466 (1980); Yu. V. Petrov and V. Yu. Petrov, Zh. Eksp. Teor. Fiz. 100, 56 (1991) [Sov. Phys. JETP 73, 29 (1991)]; Yu. V. Petrov et al., Phys. Rev. A 57, 1636 (1998); Yu. V. Petrov and V. Yu. Petrov, arXiv:nucl-th/0108068v1 (2001).

    Article  ADS  Google Scholar 

  68. M. P. Faifman et al., Z. Phys. D 2, 79 (1986).

    Article  ADS  Google Scholar 

  69. A. Scrinzi, K. Szalewicz, and H. J. Monkhorst, Phys. Rev. A 37, 2270 (1988).

    Article  ADS  Google Scholar 

  70. D. Bakalov and V. I. Korobov, Hyperfine Interact. 138, 265 (2001).

    Article  ADS  Google Scholar 

  71. M. R. Harston et al., Phys. Rev. A 56, 2685 (1997).

    Article  ADS  Google Scholar 

  72. V. S. Melezhik and L. I. Ponomarev, Phys. Lett. B 77, 217 (1978).

    Article  ADS  Google Scholar 

  73. Y. Kino, M. R. Harston, I. Shimamura, E. A. G. Armour, and M. Kamimura, Phys. Rev. A 52, 870 (1995).

    Article  ADS  Google Scholar 

  74. N. T. Padial, J. S. Cohen, and R. B. Walker, Phys. Rev. A 37, 329 (1988); N. T. Padial, J. S. Cohen, and M. Leon, Phys. Rev. A 38, 1172 (1988).

    Article  ADS  Google Scholar 

  75. V. M. Bistritskii et al., Zh. Eksp. Teor. Fiz. 76, 460 (1979) [Sov. Phys. JETP 49, 232 (1979)].

    Google Scholar 

  76. S. E. Jones et al., Phys. Rev. Lett. 56, 588 (1986).

    Article  ADS  Google Scholar 

  77. M. Kamimura, E. Hiyama, and Y. Kino, Hyperfine Interact. 118, 217 (1999); C. D. Stodden, H. J. Monkhorst, K. Szalewicz, and T. G. Winter, Phys. Rev. A 41, 1281 (1990).

    Article  ADS  Google Scholar 

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Author notes

  1. B. Lauss

    Present address: Paul Scherrer Institute, PSI, CH-5232, Villigen, Switzerland

  2. J. Marton & J. Zmeskal

    Present address: Stefan-Meyer-Institute for subatomic Physics (SMI), A-1090, Wien, Austria

  3. P. Kammel

    Present address: University of Illinois at Urbana-Champaign, Urbana, IL, 61801, USA

Authors and Affiliations

  1. Petersburg Nuclear Physics Institute (PNPI), Gatchina, 188350, Russia

    D. V. Balin, V. A. Ganzha, S. M. Kozlov, E. M. Maev, G. E. Petrov, M. A. Soroka, G. N. Schapkin, G. G. Semenchuk, V. A. Trofimov, A. A. Vasiliev, A. A. Vorobyov & N. I. Voropaev

  2. Paul Scherrer Institute, PSI, CH-5232, Villigen, Switzerland

    C. Petitjean

  3. Institute for Medium Energy Physics, Austrian Academy of Sciences, A-1090, Wien, Austria

    B. Gartner, B. Lauss, J. Marton & J. Zmeskal

  4. University of California Berkeley, UCB and LBNL, Berkeley, CA, 94720, USA

    T. Case, K. M. Crowe & P. Kammel

  5. Technical University of Munich (TUM), D-85747, Garching, Germany

    F. J. Hartmann

  6. Russian Research Centre Kurchatov bistitute, Moscow, 123182, Russia

    M. P. Faifman

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Balin, D.V., Ganzha, V.A., Kozlov, S.M. et al. High precision study of muon catalyzed fusion in D2 and HD gas. Phys. Part. Nuclei 42, 185–214 (2011). https://doi.org/10.1134/S106377961102002X

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