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Precision calculation of the quartet-channel p−d scattering length

Sebastian König1,2,* and H.-W. Hammer3,4

  • 1Department of Physics, The Ohio State University, Columbus, Ohio 43210, USA
  • 2Helmholtz-Institut für Strahlen- und Kernphysik (Theorie) and Bethe Center for Theoretical Physics, Universität Bonn, 53115 Bonn, Germany
  • 3Institut für Kernphysik, Technische Universität Darmstadt, 64289 Darmstadt, Germany
  • 4ExtreMe Matter Institute EMMI, GSI Helmholtzzentrum für Schwerionenforschung GmbH, 64291 Darmstadt, Germany

  • *koenig.389@physics.osu.edu
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Phys. Rev. C 90, 034005 – Published 25 September, 2014

DOI: https://doi.org/10.1103/PhysRevC.90.034005

Abstract

We present a fully perturbative calculation of the quartet-channel proton-deuteron scattering length up to next-to-next-to-leading order in pionless effective field theory. We use a framework that consistently extracts the Coulomb-modified effective-range function for a screened Coulomb potential in momentum space and allows for a clear linear extrapolation back to the physical limit without screening. Our result of 4ap−d=(10.9±0.4) fm agrees with older experimental determinations of this quantity but deviates from potential-model calculations and a more recent result from Black et al., which find larger values around 14 fm. As a possible resolution to this discrepancy, we discuss the scheme dependence of Coulomb subtractions in a three-body system.

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References (38)

  1. T. C. Black, H. J. Karwowski, E. J. Ludwig, A. Kievsky, S. Rosati, and M. Viviani, Phys. Lett. B 471, 103 (1999).
  2. G. H. Berthold and H. Zankel, Phys. Rev. C 34, 1203 (1986).
  3. C. R. Chen, G. L. Payne, J. L. Friar, and B. F. Gibson, Phys. Rev. C 44, 50 (1991).
  4. A. Kievsky, S. Rosati, M. Viviani, C. R. Brune, H. J. Karwowski, E. J. Ludwig, and M. H. Wood, Phys. Lett. B 406, 292 (1997).
  5. E. Huttel et al., Nucl. Phys. A 406, 443 (1983).
  6. J. Arvieux, Nucl. Phys. A 221, 253 (1973).
  7. C. A. Bertulani, H.-W. Hammer, and U. van Kolck, Nucl. Phys. A 712, 37 (2002).
  8. P. F. Bedaque, H.-W. Hammer, and U. van Kolck, Phys. Lett. B 569, 159 (2003).
  9. J.-M. Sparenberg, P. Capel, and D. Baye, Phys. Rev. C 81, 011601 (2010).
  10. S. König, D. Lee, and H.-W. Hammer, J. Phys. G: Nucl. Part. Phys. 40, 045106 (2013).
  11. C. A. Gagliardi et al., Phys. Rev. C 59, 1149 (1999).
  12. D. B. Kaplan, M. J. Savage, and M. B. Wise, Phys. Lett. B 424, 390 (1998).
  13. U. van Kolck, Nucl. Phys. A 645, 273 (1999).
  14. H. A. Bethe, Phys. Rev. 76, 38 (1949).
  15. J. J. de Swart, C. P. F. Terheggen, and V. G. J. Stoks, arXiv:nucl-th/9509032.
  16. P. F. Bedaque and U. van Kolck, Phys. Lett. B 428, 221 (1998).
  17. P. F. Bedaque, H. W. Hammer, and U. van Kolck, Phys. Rev. C 58, R641(R) (1998).
  18. X. Kong and F. Ravndal, Phys. Lett. B 450, 320 (1999).
  19. X. Kong and F. Ravndal, Nucl. Phys. A 665, 137 (2000).
  20. G. Rupak and X. Kong, Nucl. Phys. A 717, 73 (2003).
  21. S. Ando and M. C. Birse, J. Phys. G: Nucl. Part. Phys. 37, 105108 (2010).
  22. S. König and H.-W. Hammer, Phys. Rev. C 83, 064001 (2011).
  23. C. van der Leun and C. Anderliesten, Nucl. Phys. A 380, 261 (1982).
  24. P. F. Bedaque, G. Rupak, H. W. Grießhammer, and H.-W. Hammer, Nucl. Phys. A 714, 589 (2003).
  25. J. Vanasse, Phys. Rev. C 88, 044001 (2013).
  26. S. König, Ph.D. thesis, University of Bonn, 2013, http://hss.ulb.uni-bonn.de/2013/3395/3395.htm.
  27. S. König, H. W. Grießhammer, and H.-W. Hammer, arXiv:1405.7961.
  28. J. Vanasse, D. A. Egolf, J. Kerin, S. König, and R. P. Springer, Phys. Rev. C 89, 064003 (2014).
  29. M. Hoferichter (private communication, 2010).
  30. H. van Haeringen and L. P. Kok, Czech. J. Phys. B 32, 307 (1982).
  31. R. G. Newton, Scattering Theory of Waves and Particles, 2nd ed. (Springer-Verlag, New York, 1982).
  32. C. Ji and D. R. Phillips, Few-Body Syst. 54, 2317 (2013).
  33. H. W. Grießhammer, Nucl. Phys. A 744, 192 (2004).
  34. R. S. Christian and J. L. Gammel, Phys. Rev. 91, 100 (1953).
  35. A. Kievsky, S. Rosati, W. Tornow, and M. Viviani, Nucl. Phys. A 607, 402 (1996).
  36. V. G. Gorshkov, Soviet Phys. JETP 13, 1037 (1961).
  37. V. G. Gorshkov, Soviet Phys. JETP 20, 234 (1965).
  38. C. R. Chen, G. L. Payne, J. L. Friar, and B. F. Gibson, Phys. Rev. C 39, 1261 (1989).

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Phys. Rev. C 90, 034005– Published 25 September, 2014
  • Received 17 December 2013
  • Revised 21 August 2014

©2014 American Physical Society

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