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Faddeev-chiral unitary approach to the K−d scattering length

T. Mizutani*

C. Fayard†

B. Saghai‡

K. Tsushima§

  • Department of Physics, Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061, USA and Theory Center, Thomas Jefferson National Accelerator Facility, Newport News, Virginia 23606, USA

  • Institut de Physique Nucléaire de Lyon, IN2P3-CNRS, Université Claude Bernard, F-69622 Villeurbanne cedex, France

  • Institut de Recherche sur les lois Fondamentales de l’Univers, DSM/Irfu, CEA/Saclay, F-91191 Gif-sur-Yvette, France

  • CSSM, School of Chemistry and Physics, The University of Adelaide, SA 5005, Australia

  • *mizutani@vt.edu
  • †c.fayard@ipnl.in2p3.fr
  • ‡bijan.saghai@cea.fr
  • §kazuo.tsushima@gmail.com
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Phys. Rev. C 87, 035201 – Published 5 March, 2013

DOI: https://doi.org/10.1103/PhysRevC.87.035201

Abstract

Our earlier Faddeev three-body study in the K−-deuteron scattering length, AK−d, is revisited here in light of the recent developments on two fronts: (i) the improved chiral unitary approach to the theoretical description of the coupled K¯N related channels at low energies, and (ii) the new and improved measurement from SIDDHARTA Collaboration of the strong interaction energy shift and width in the lowest K−-hydrogen atomic level. Those two, in combination, have allowed us to produce a reliable two-body input to the three-body calculation. All available low-energy K−p observables are well reproduced and predictions for the K¯N scattering lengths and amplitudes, (πΣ)∘ invariant-mass spectra, as well as for AK−d are put forward and compared with results from other sources. The findings of the present work are expected to be useful in interpreting the forthcoming data from CLAS, HADES, LEPS, and SIDDHARTA Collaborations.

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References (123)

  1. N. Kaiser, P. B. Siegel, and W. Weise, Nucl. Phys. A 594, 325 (1995).
  2. E. Oset and A. Ramos, Nucl. Phys. A 635, 99 (1998).
  3. A. Bahaoui, C. Fayard, T. Mizutani, and B. Saghai, Phys. Rev. C 66, 057001 (2002).
  4. A. Bahaoui, C. Fayard, T. Mizutani, and B. Saghai, Phys. Rev. C 68, 064001 (2003).
  5. T. Yamazaki and Y. Akaishi, Phys. Lett. B 535, 70 (2002).
  6. Y. Akaishi and T. Yamazaki, Phys. Rev. C 65, 044005 (2002).
  7. T. Yamazaki and Y. Akaishi, Phys. Rev. C 76, 045201 (2007).
  8. N. V. Shevchenko, A. Gal, and J. Mares, Phys. Rev. Lett. 98, 082301 (2007).
  9. N. V. Shevchenko, A. Gal, J. Mares, and J. Revai, Phys. Rev. C 76, 044004 (2007).
  10. Y. Ikeda and T. Sato, Phys. Rev. C 76, 035203 (2007).
  11. Y. Ikeda and T. Sato, Phys. Rev. C 79, 035201 (2009).
  12. A. Dote and W. Weise, Prog. Theor. Phys. Suppl. 168, 593 (2007).
  13. A. Dote, T. Hyodo, and W. Weise, Nucl. Phys. A 804, 197 (2008).
  14. A. Dote, T. Hyodo, and W. Weise, Phys. Rev. C 79, 014003 (2009).
  15. Y. Ikeda, H. Kamano, and T. Sato, Prog. Theor. Phys. 124, 533 (2010).
  16. Y. Ikeda, T. Hyodo, and W. Weise, Phys. Lett. B 706, 63 (2011).
  17. Y. Ikeda, T. Hyodo, and W. Weise, Nucl. Phys. A 881, 98 (2012).
  18. M. Bayar, J. Yamagata-Sekihara, and E. Oset, Phys. Rev. C 84, 015209 (2011).
  19. E. Oset, D. Jido, T. Sekihara, M. Bayar, and J. Yamagata-Sekihara, arXiv:1108.3928.
  20. M. Bayar and E. Oset, arXiv:1207.1661.
  21. T. Sekihara, J. Yamagata-Sekihara, D. Jido, and Y. Kanada-En'yo, Phys. Rev. C 86, 065205 (2012).
  22. D. Gazda and J. Mares, Nucl. Phys. A 881, 159 (2012).
  23. M. Mai and U. G. Meissner, Nucl. Phys. A 900, 51 (2013).
  24. T. Hyodo and D. Jido, Prog. Part. Nucl. Phys. 67, 55 (2012).
  25. A. D. Martin, Nucl. Phys. B 179, 33 (1981).
  26. M. Iwasaki et al., Phys. Rev. Lett. 78, 3067 (1997).
  27. T. M. Ito et al., Phys. Rev. C 58, 2366 (1998).
  28. G. Beer et al. (DEAR Collaboration), Phys. Rev. Lett. 94, 212302 (2005).
  29. M. Bazzi et al. (SIDDHARTA Collaboration), Phys. Lett. B 704, 113 (2011).
  30. J. A. Oller and U. G. Meissner, Phys. Lett. B 500, 263 (2001).
  31. J. A. Oller, E. Oset, and A. Ramos, Prog. Part. Nucl. Phys. 45, 157 (2000).
  32. M. F. M. Lutz and E. E. Kolomeitsev, Nucl. Phys. A 700, 193 (2002).
  33. E. Oset, A. Ramos, and C. Bennhold, Phys. Lett. B 527, 99 (2002); 530, 260 (2002).
  34. T. Hyodo, S. I. Nam, D. Jido, and A. Hosaka, Phys. Rev. C 68, 018201 (2003).
  35. D. Jido, J. A. Oller, E. Oset, A. Ramos, and U. G. Meissner, Nucl. Phys. A 725, 181 (2003).
  36. B. Borasoy, R. Nissler, and W. Weise, Phys. Rev. Lett. 94, 213401 (2005).
  37. B. Borasoy, R. Nissler, and W. Weise, Eur. Phys. J. A 25, 79 (2005).
  38. B. Borasoy, U. G. Meissner, and R. Nissler, Phys. Rev. C 74, 055201 (2006).
  39. J. A. Oller, J. Prades, and M. Verbeni, Phys. Rev. Lett. 95, 172502 (2005).
  40. J. A. Oller, J. Prades, and M. Verbeni, Phys. Rev. Lett. 96, 199202 (2006).
  41. J. A. Oller, Eur. Phys. J. A 28, 63 (2006).
  42. A. Cieply and J. Smejkal, Eur. Phys. J. A 34, 237 (2007).
  43. A. Cieply and J. Smejkal, Eur. Phys. J. A 43, 191 (2010).
  44. S. S. Kamalov, E. Oset, and A. Ramos, Nucl. Phys. A 690, 494 (2001).
  45. A. Sibirtsev, M. Buescher, V. Y. Grishina, C. Hanhart, L. A. Kondratyuk, S. Krewald, and U. G. Meissner, Phys. Lett. B 601, 132 (2004).
  46. V. Kleber et al., Phys. Rev. Lett. 91, 172304 (2003).
  47. U. G. Meissner, U. Raha, and A. Rusetsky, Eur. Phys. J. C 47, 473 (2006).
  48. M. Doring and U. G. Meissner, Phys. Lett. B 704, 663 (2011).
  49. V. Baru, E. Epelbaum, and A. Rusetsky, Eur. Phys. J. A 42, 111 (2009).
  50. N. V. Shevchenko, Nucl. Phys. A 890-891, 50 (2012).
  51. A. Bahaoui, C. Fayard, G. H. Lamot, and T. Mizutani, Nucl. Phys. A 508, 335C (1990).
  52. N. V. Shevchenko, Phys. Rev. C 85, 034001 (2012).
  53. M. Faber, M. P. Faifman, A. N. Ivanov, J. Marton, M. Pitschmann, and N. I. Troitskaya, Phys. Rev. C 84, 064314 (2011).
  54. F. E. Close and R. G. Roberts, Phys. Lett. B 316, 165 (1993).
  55. P. C. Bruns, M. Mai, and U. G. Meissner, Phys. Lett. B 697, 254 (2011).
  56. K. Nakamura et al. (Particle Data Group), J. Phys. G 37, 075021 (2010).
  57. G. S. Abraham and B. Sechi-Zorn, Phys. Rev. 139, 454 (1965).
  58. M. Csejthey-Barth et al., Phys. Lett. 16, 89 (1965).
  59. M. Sakitt, T. B. Day, R. G. Glasser, N. Seeman, J. H. Friedman, W. E. Humphrey, and R. R. Ross, Phys. Rev. 139, B719 (1965).
  60. W. Kittel, G. Otter, and I. Wacek, Phys. Lett. 21, 349 (1966).
  61. J. K. Kim, Phys. Rev. Lett. 19, 1074 (1967).
  62. T. S. Mast, M. Alston-Garnjost, R. O. Bangerter, A. S. Barbaro-Galtieri, F. T. Solmitz, and R. D. Tripp, Phys. Rev. D 11, 3078 (1975).
  63. T. S. Mast, M. Alston-Garnjost, R. O. Bangerter, A. S. Barbaro-Galtieri, F. T. Solmitz, and R. D. Tripp, Phys. Rev. D 14, 13 (1976).
  64. R. O. Bangerter, M. Alston-Garnjost, A. Barbaro-Galtieri, T. S. Mast, F. T. Solmitz, and R. D. Tripp, Phys. Rev. D 23, 1484 (1981).
  65. J. Ciborowski et al., J. Phys. G 8, 13 (1982).
  66. D. Evans, J. V. Major, E. Rondio, J. A. Zakrzewski, J. E. Conboy, D. J. Miller, and T. Tymieniecka, J. Phys. G 9, 885 (1983).
  67. P. B. Siegel and B. Saghai, Phys. Rev. C 52, 392 (1995).
  68. W. E. Humphrey and R. R. Ross, Phys. Rev. 127, 1305 (1962).
  69. D. N. Tovee et al., Nucl. Phys. B 33, 493 (1971).
  70. R. J. Nowak et al., Nucl. Phys. B 139, 61 (1978).
  71. J. Gasser, H. Leutwyler, and M. E. Sainio, Phys. Lett. B 253, 252 (1991).
  72. T. Inoue, V. E. Lyubovitskij, T. Gutsche, and A. Faessler, Phys. Rev. C 69, 035207 (2004).
  73. J. Martin Camalich, L. S. Geng, and M. J. Vicente Vacas, Phys. Rev. D 82, 074504 (2010).
  74. G. E. Hite, W. B. Kaufmann, and R. J. Jacob, Phys. Rev. C 71, 065201 (2005).
  75. R. A. Arndt, W. J. Briscoe, I. I. Strakovsky, R. L. Workman, and M. M. Pavan, Phys. Rev. C 69, 035213 (2004).
  76. S. Durr et al., Phys. Rev. D 85, 014509 (2012).
  77. G. S. Bali et al. (QCDSF Collaboration), Phys. Rev. D 85, 054502 (2012).
  78. P. E. Shanahan, A. W. Thomas, and R. D. Young, arXiv:1205.5365.
  79. C. S. An, B. Saghai, S. G. Yuan, and J. He, Phys. Rev. C 81, 045203 (2010).
  80. H. Dahiya and N. Sharma, AIP Conf. Proc. 1388, 439 (2011).
  81. C. S. An and B. Saghai, PoS QNP2012, 077 (2012).
  82. A. Starostin et al. (Crystal Ball Collaboration), Phys. Rev. C 64, 055205 (2001).
  83. B.-C. Liu and J.-J. Xie, Phys. Rev. C 85, 038201 (2012).
  84. D. A. Sharov, V. L. Korotkikh, and D. E. Lanskoy, Eur. Phys. J. A 47, 109 (2011).
  85. R. Shyam, O. Scholten, and A. W. Thomas, Phys. Rev. C 84, 042201 (2011).
  86. A. Cieply and J. Smejkal, Nucl. Phys. A 881, 115 (2012).
  87. V. Krejcirik, Phys. Rev. C 86, 024003 (2012).
  88. W. Weise, Nucl. Phys. A 835, 51 (2010).
  89. U. G. Meissner, U. Raha, and A. Rusetsky, Eur. Phys. J. C 35, 349 (2004).
  90. T. Hyodo and W. Weise, Phys. Rev. C 77, 035204 (2008).
  91. J. Revai and N. V. Shevchenko, Phys. Rev. C 79, 035202 (2009).
  92. R. J. Hemingway, Nucl. Phys. B 253, 742 (1985).
  93. J. C. Nacher, E. Oset, H. Toki, and A. Ramos, Phys. Lett. B 455, 55 (1999).
  94. D. Jido, E. Oset, and T. Sekihara, Eur. Phys. J. A 47, 42 (2011).
  95. I. Zychor et al., Phys. Lett. B 660, 167 (2008).
  96. J. Esmaili, Y. Akaishi, and T. Yamazaki, Phys. Rev. C 83, 055207 (2011).
  97. L. S. Geng and E. Oset, Eur. Phys. J. A 34, 405 (2007).
  98. G. Agakishiev, A. Balanda, D. Belver, A. Belyaev, J. C. Berger-Chen, A. Blanco, M. Boehmer, J. L. Boyard et al., Nucl. Phys. A 881, 178 (2012).
  99. G. Agakishiev, A. Balanda, D. Belver, A. V. Belyaev, J. C. Berger-Chen, A. Blanco, M. Bohmer, J. L. Boyard et al., arXiv:1208.0205.
  100. E. Epple and L. Fabbietti (HADES Collaboration), Hyperfine Interact. 210, 45 (2012).
  101. K. Moriya and R. Schumacher (CLAS Collaboration), AIP Conf. Proc. 1432, 371 (2012).
  102. J. K. Ahn (LEPS Collaboration), Nucl. Phys. A 835, 329 (2010).
  103. S. Enomoto et al., AIP Conf. Proc. 1388, 599 (2011).
  104. K. Miyagawa and J. Haidenbauer, Phys. Rev. C 85, 065201 (2012).
  105. D. Jido, E. Oset, and T. Sekihara, arXiv:1207.5350 [nucl-th].
  106. V. Kopeliovich and I. Potashnikova, Phys. Rev. C 83, 064302 (2011).
  107. J. Esmaili, Y. Akaishi, and T. Yamazaki, Phys. Lett. B 686, 23 (2010).
  108. N. Giraud, C. Fayard, and G. H. Lamot, Phys. Rev. C 21, 1959 (1980).
  109. G. Toker, A. Gal, and J. M. Eisenberg, Nucl. Phys. A 362, 405 (1981).
  110. R. C. Barrett and A. Deloff, Phys. Rev. C 60, 025201 (1999).
  111. A. Deloff, Phys. Rev. C 61, 024004 (2000).
  112. V. Y. Grishina, L. A. Kondratyuk, M. Buescher, and W. Cassing, Eur. Phys. J. A 21, 507 (2004).
  113. A. N. Ivanov et al., Eur. Phys. J. A 23, 79 (2005).
  114. A. Gal, Int. J. Mod. Phys. A 22, 226 (2007).
  115. J. Gasser, V. E. Lyubovitskij, and A. Rusetsky, Phys. Rept. 456, 167 (2008).
  116. R. Aaron, R. D. Amado, and J. E. Young, Phys. Rev. 174, 2022 (1968).
  117. A. S. Rinat and A. W. Thomas, Nucl. Phys. A 282, 365 (1977).
  118. A. Bahaoui, Ph.D. thesis, Université Claude Bernard Lyon I, 1990.
  119. J. H. Hetherington and L. H. Schick, Phys. Rev. 156, 1647 (1967).
  120. J. Revai, arXiv:1203.1813.
  121. E. Oset, D. Jido, T. Sekihara, A. M. Torres, K. P. Khemchandani, M. Bayar, and J. Yamagata-Sekihara, Nucl. Phys. A 881, 127 (2012).
  122. S. Okada et al. (SIDDHARTA Collaboration), PoS FACESQCD, 047 (2010).
  123. T. Hyodo, arXiv:1209.6208.

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Phys. Rev. C 87, 035201– Published 5 March, 2013
  • Received 25 November 2012

©2013 American Physical Society

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