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Few-Body Systems

, Volume 48, Issue 2–4, pp 59–108 | Cite as

Experimental Investigations of Discrepancies in Three-Nucleon Reactions

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Abstract

Experiments on pd scattering, pd capture and pd breakup performed by our Kyushu University group since 1988 are reviewed. Various discrepancies between the experimental results and 3N Faddeev calculations have been found, and systematical measurements of the discrepancies have been made. From discrepancies in pd scattering cross section and in 3N binding energy, 2π-exchange 3N force was determined, and the discrepancies were satisfactorily diminished. There are, however, still many discrepancies awaiting theoretical investigation, as described in this report.

Keywords

Breakup Reaction Cross Section Minimum Tensor Analyze Power Breakup Cross Section Faddeev Calculation 
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Notes

Acknowledgments

Experimental studies described in this report were made by many collaborators over about 25 years. The experimental collaborators were from Kyushu University, RCNP Osaka University, Kyoto University, University of Tokyo, RIKEN, Tohoku University, and Miyazaki University. In these experimental studies, six doctoral theses were written by S. Shimizu (1992), N. Nishimori (1996), H. Akiyoshi (1997), T. Fujita (1999), T. Yagita (2002) and Y. Tameshige (2008), and S. Kuroita will finish his doctoral thesis in 2011. In addition to the above doctoral students, the following members have collaborated in the experimental studies; K. Hatanaka, A. Tamii, T. Wakasa, H. Okamura, H. Nakamura, T. Nakashima, K. Maeda, Y. Sakemi, T. Noro, T.P. Yoshida, Y. Maeda, K. Sekiguchi, J. Kamiya, Y. Shimizu, T. Kawabata, K. Fujita, M. Matsubara, H. Oguri, H. Ochiishi, S. Ueno, T. Miwa, T. Bussaki, K. Shigenaga, K. Ogata, K. Tachikawa, M. Kondo, S. Minami, T. Ishida, H. Ochi, S. Nozoe, M. Shiota, S. Shimomoto, T. Kudoh, H. Ohira, M. Tomiyama, T. Sugimoto, H. Shimoda, T. Sueta, Y. Eguchi, K. Yashima and Y. Tabe. The author wishes to thank above members for their contributions in our 3N experiments at KUTL, RCNP and RIKEN. The author also wishes to thank the following collaborators for their theoretical calculations and discussions of 3N reactions; Y. Koike, N. Takemiya, S. Ishikawa, H. Kamada, H. Witała, W. Glöckle, J. Golak, A. Kievsky, and A. Deltuva. Many progresses have been made from comparison of our experimental data to their calculations. The author also appreciate much technical staffs at KUTL, T. Maeda for preparing various electrical circuits, and Y. Koga for manufacturing many metal parts by machinery. The author thank to S. Kuroita, K. Yashima and T. Yabe for their help in preparation of the manuscript. The author would like to express his appreciation to the editors for the opportunity to present this report.

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References

  1. 1.
    Koike Y., Heidenbauer J.: The neutron-deuteron elastic scattering with the Paris potential. Nucl. Phys. A 463, 365c (1987)CrossRefADSGoogle Scholar
  2. 2.
    Takemiya N.: On the low energy n-d scattering. Prog. Theor. Phys. 74, 301 (1985)CrossRefADSGoogle Scholar
  3. 3.
    Witala H., Glockle W., Cornelius T.: Three-nucleon continuum calculations with realistic NN potentials. Few-Body Syst. 2, 555 (1987)Google Scholar
  4. 4.
    Witala H., Glockle W., Cornelius T.: Rigorous Faddeev calculations for elastic neutron-deuteron scattering around 8 MeV c.m. energy. Nucl. Phys. A 491, 157 (1989)CrossRefADSGoogle Scholar
  5. 5.
    Sagara K. et al.: Polarization monitors for proton and deuteron beams below 20 MeV. Nucl. Instr. Methods A 270, 444 (1988)CrossRefADSGoogle Scholar
  6. 6.
    Sagara K. et al.: Energy dependence of analyzing power A y and cross section for p + d scattering below 18 MeV. Phys. Rev. C 50, 576 (1994)CrossRefADSGoogle Scholar
  7. 7.
    Shimizu S. et al.: Analyzing powers of p + d scattering below the deuteron breakup threshold. Phys. Rev. C 52, 1193 (1995)CrossRefADSGoogle Scholar
  8. 8.
    Koike Y., Ishikawa S.: Possible origin of Sagara discrepancy in the cross section minimum of p − d elastic scattering. Nucl. Phys. A 631, 683c (1998)CrossRefADSGoogle Scholar
  9. 9.
    Sakamoto N. et al.: Measurement of the vector and tensor analyzing powers for the d − p elastic scattering at E d = 270 MeV. Phys. Lett. B 367, 60 (1996)CrossRefADSGoogle Scholar
  10. 10.
    Witala H. et al.: Cross section minima in elastic Nd scattering: possible evidence for three-nucleon force effects. Phys. Rev. Lett. 81, 1183 (1998)CrossRefADSGoogle Scholar
  11. 11.
    Fujita J., Miyazawa H.: Pion theory of three-body forces. Prog. Theor. Phys. 17, 360 (1957)MATHCrossRefMathSciNetADSGoogle Scholar
  12. 12.
    Takemiya N.: Analyzing powers in elastic nucleon-deuteron scattering. Prog. Theor. Phys. 86, 975 (1991)CrossRefADSGoogle Scholar
  13. 13.
    Witala H., Gloeckle W.: The analysing power in elastic nucleon-deuteron scattering: information on two-nucleon 3P forces?. Nucl. Phys. A 528, 48 (1991)CrossRefADSGoogle Scholar
  14. 14.
    Kievsky A.: Phenomenological spin-orbit three-body force. Phys. Rev. C 60, 034001 (1999)CrossRefADSGoogle Scholar
  15. 15.
    McAninch J.E. et al.: Analyzing power in neutron-deuteron elastic scattering at \({{E_{\rm lab}^n=3}}\) MeV. Phys. Rev. C 50, 589 (1994)CrossRefADSGoogle Scholar
  16. 16.
    Tornow W. et al.: The low-energy neutron-deuteron analyzing power and the 3P0,1,2 interactions of nucleon-nucleon potentials. Phys. Lett. B 257, 273 (1991)CrossRefADSGoogle Scholar
  17. 17.
    Tornow W. et al.: Discrepancy between three-nucleon calculations and neutron-deuteron elastic analyzing power data at 8.5 MeV. Phys. Lett. B 203, 341 (1988)CrossRefADSGoogle Scholar
  18. 18.
    Tornow W. et al.: Analyzing power measurements for (2H(n pol, n)2H) scattering at 10 MeV compared to few-nucleon calculations and data for (2H(p pol, p)2H) scattering. Phys. Rev. Lett. 49, 312 (1982)CrossRefADSGoogle Scholar
  19. 19.
    Howell C. et al.: Rigorous calculations and measurements of A y (θ) for n + d elastic-scattering and breakup processes. Phys. Rev. Lett. 61, 1565 (1988)CrossRefADSGoogle Scholar
  20. 20.
    Tornow W. et al.: Measurements of analyzing power for \(^2H({\vec{n}}, n)^2\) H scattering at 14.1 MeV and comparisons to \({^2H(\vec{d}, p)^2}\) H. Phys. Rev. C 27, 2439 (1983)CrossRefADSGoogle Scholar
  21. 21.
    Plattner G.R., Bacher A.D.: Absolute calibration of spin image polarization. Phys. Lett. B 36, 211 (1971)CrossRefADSGoogle Scholar
  22. 22.
    Bond J.E., Firk F.W.K.: Determination of R-function and physical-state parameters for n-4He elastic scattering below 21 MeV . Nucl. Phys. A 287, 317 (1977)CrossRefADSGoogle Scholar
  23. 23.
    Satchler G.R. et al.: An optical model for the scattering of nucleons from 4He at energies below 20 MeV. Nucl. Phys. A 112, 1 (1968)CrossRefADSGoogle Scholar
  24. 24.
    Stammbach T.H., Walter R.L.: R-matrix formulation and phase shifts for n-4He and p-4He scattering for energies up to 20 MeV. Nucl. Phys. A 180, 225 (1972)CrossRefADSGoogle Scholar
  25. 25.
    Arndt R.A., Roper L.D.: Nucleon-alpha elastic scattering analyses: (II). 0 to 21 MeV energy-dependent n-α analysis. Nucl. Phys. A 209, 447 (1973)CrossRefADSGoogle Scholar
  26. 26.
    Simmons J.E. et al.: Reaction D(d, n) 3He at 0° with polarized beam: a new source of polarized neutrons from 7 to 18 MeV. Phys. Rev. Lett. 27, 113 (1971)CrossRefADSGoogle Scholar
  27. 27.
    Salzman G.C. et al.: Polarization and polarization transfer in the 2H(d, n) 3He reaction at 10 MeV. Nucl. Phys. A 222, 512 (1974)CrossRefADSGoogle Scholar
  28. 28.
    Lisowski P.W. et al.: Polarization transfer in the \(2{\rm H}({\vec{d},\vec{n}})\) 3He reaction at θ =  θ^. Nucl. Phys. A 242, 298 (1975)CrossRefADSGoogle Scholar
  29. 29.
    von Witsch W. et al.: Transverse polarization transfer in the \(2{\rm H}({\vec{d},\vec{n}})\) 3He reaction at θ = 0^. Phys. Rev. C 57, 2104 (1998)CrossRefADSGoogle Scholar
  30. 30.
    Tornow W. et al.: No evidence for large charge-symmetry breaking effects in the 3 P J nucleon-nucleon interactions. Phys. Rev. C 55, 525 (1990)CrossRefADSGoogle Scholar
  31. 31.
    Golak J. et al.: Faddeev calculations of proton-deuteron radiative capture with exchange currents. Phys. Rev. C 62, 054005 (2000)CrossRefADSGoogle Scholar
  32. 32.
    Akiyoshi H. et al.: Measurement of analyzing powers of the 1H(d, 3He)γ reaction at 17.5 MeV. Phys. Rev. C 64, 034001 (2001)CrossRefADSGoogle Scholar
  33. 33.
    Sekiguchi K. et al.: Complete set of precise deuteron analyzing powers at intermediate energies: comparison with modern nuclear force predictions. Phys. Rev. C 65, 034003 (2002)CrossRefADSGoogle Scholar
  34. 34.
    Strate J. et al.: Differential cross section of the 2H(n, nnp)-reaction at E n = 13 MeV. Nucl. Phys. A 501, 51 (1989)CrossRefADSGoogle Scholar
  35. 35.
    Setze H.R. et al.: Minimal supersymmetric Higgs boson decay rate in \({O(\alpha_s^2)}\) perturbative QCD. Phys. Lett. B 338, 229 (1996)ADSGoogle Scholar
  36. 36.
    Setze H.R. et al.: Cross-section measurements of neutron-deuteron breakup at 13.0 MeV. Phys. Rev. C 71, 034006 (2005)CrossRefADSGoogle Scholar
  37. 37.
    Stephan M. et al.: Neutron-induced deuteron breakup cross section at 10.3 MeV. Phys. Rev. C 39, 2133 (1989)CrossRefADSGoogle Scholar
  38. 38.
    Zhou Z. et al.: The space-star anomaly in nd breakup at 25 MeV. Nucl. Phys. A 684, 545 (2001)CrossRefADSGoogle Scholar
  39. 39.
    Gebhardt K. et al.: Experimental and theoretical investigation of the 2H(n, nnp) reaction and of the neutron-neutron scattering length. Nucl. Phys. A 561, 232 (1993)CrossRefADSGoogle Scholar
  40. 40.
    Hatanaka K. et al.: Cross section and complete set of proton spin observables in p → d elastic scattering at 250 MeV. Phys. Rev. C 66, 044002 (2002)CrossRefADSGoogle Scholar
  41. 41.
    Ishikawa S., Sasakawa T.: p + d → 3 He + γ reaction with realistic three-nucleon wave functions. Phys. Rev. C 45, R1428 (1992)CrossRefADSGoogle Scholar
  42. 42.
    Lourdan J. et al.: p − d Radiative capture and the 3He D-state d. Nucl. Phys. A 453, 220 (1986)CrossRefADSGoogle Scholar
  43. 43.
    Atklin H. et al.: Tensor analyzing power A yy of d − p radiative capture. Nucl. Phys. A 636, 189 (1998)CrossRefADSGoogle Scholar
  44. 44.
    Goeckner F. et al.: Analyzing power measurements for p − d radiative capture. Phys. Rev. C 45, R2536 (1992)CrossRefADSGoogle Scholar
  45. 45.
    Schmid G.J. et al.: 1996 T 20 measurements for 1H(d → γ) 3He and the P-wave component of the nucleon-nucleon force. Phys. Rev. C 53, 35 (1996)CrossRefADSGoogle Scholar
  46. 46.
    Mehmandoost-Khajeh-Dad A.A. et al.: Spin observables in deuteron-proton radiative capture at intermediate energies. Phys. Lett. B 617, 18 (2005)CrossRefADSGoogle Scholar
  47. 47.
    Rauprich G. et al.: Study of the kinematically complete breakup reaction \(2{\rm H}({\vec{P}}, {\rm pp)n}\) at E p =  3 Mev with polarized protons. Nucl. Phys. A 535, 313 (1991)CrossRefADSGoogle Scholar
  48. 48.
    Grossmann R. et al.: Low energy proton-deuteron versus neutron-deuteron breakup in four configurations: implications for Coulomb-force effects. Nucl. Phys. A 603, 161 (1996)CrossRefADSGoogle Scholar
  49. 49.
    Patberg H. et al.: Deuteron breakup reaction 2H(p → pp)n induced by polarized protons at E p = 19.0 MeV. Phys. Rev. C 53, 1497 (1996)CrossRefADSGoogle Scholar
  50. 50.
    Ishida T. et al.: Search for Space Star anomaly in pd breakup reaction 13 MeV. Mod. Phys. Lett. A 18, 436 (2003)CrossRefADSGoogle Scholar
  51. 51.
    Ley J. et al.: Cross sections and tensor analyzing powers Ayy of the reaction \(1{\rm H}{(\vec{d}, pp)n}\) in “symmetric constant relative energy” geometries at E d = 19 MeV. Phys. Rev. C 73, 064001 (2006)CrossRefADSGoogle Scholar
  52. 52.
    Deltuva A. et al.: Momentum-space description of three-nucleon breakup reactions including the Coulomb interaction. Phys. Rev. C 72, 054004 (2005)CrossRefADSGoogle Scholar
  53. 53.
    Siepe A. et al.: Neutron-proton and neutron-neutron quasifree scattering in the n − d breakup reaction at 26 MeV. Phys. Rev. C 65, 034010 (2002)CrossRefADSGoogle Scholar
  54. 54.
    Ruan X.C. et al.: Experimental study of neutron-neutron quasifree scattering in the nd breakup reaction at 25 MeV. Phys. Rev. C 75, 057001 (2007)CrossRefADSGoogle Scholar
  55. 55.
    Allet M. et al.: Proton-induced deuteron breakup at \({E^{\rm lab}_P = 65}\) MeV in quasi-free scattering configurations. Few-Body Syst. 20, 27 (1996)CrossRefADSGoogle Scholar

Copyright information

© The Author(s) 2010

Authors and Affiliations

  1. 1.Department of PhysicsKyushu UniversityFukuokaJapan

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