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Few-Body Systems

, 60:34 | Cite as

Structure of the Nucleon and Its First Radial Excitation

  • Jorge SegoviaEmail author
Article
  • 13 Downloads
Part of the following topical collections:
  1. Ludwig Faddeev Memorial Issue

Abstract

A Poincaré-covariant continuum approach to the three valence-quark bound-state problem in quantum field theory is used to perform a detailed analysis of the nucleon’s ground and first excited states: the so-called \(N(940)\frac{1}{2}^+\) and \(N(1440)\frac{1}{2}^+\). Such analysis predicts the presence of nonpointlike, fully-interacting quark–quark (diquark) correlations within them, being the isoscalar–scalar and isovector–pseudovector diquarks overwhelmingly dominant with similar relative strengths in both states. Moreover, the rest-frame wave functions of both states are largely S-wave in nature and the first excited state in this \(1/2^+\) channel has the appearance of a radial excitation of the ground state. All these features have numerous observable consequences, we show herein those related with the nucleon’s elastic, Roper’s elastic and nucleon-to-Roper transition electromagnetic form factors, for both charged and neutral channels.

Notes

Acknowledgements

The material described in this contribution is drawn from work completed in collaboration with numerous excellent people, to all of whom I am greatly indebted. I would also like to thank V. Mokeev, R. Gothe, V. Burkert and T.-S. H. Lee for insightful comments and support along the last years; and to express my gratitude to the editors of the journal Few-Body Systems for inviting me to participate with an article in the Ludwig Faddeev Memorial Issue.

References

  1. 1.
    F. Wilczek, Phys. Today 53N8, 22 (2000)CrossRefGoogle Scholar
  2. 2.
    V. D. Burkert, C. D. Roberts, (2017). arXiv:1710.02549
  3. 3.
    I.G. Aznauryan, V.D. Burkert, Prog. Part. Nucl. Phys. 67, 1 (2012). arXiv:1109.1720
  4. 4.
    H. Kamano, S.X. Nakamura, T.S.H. Lee, T. Sato, Phys. Rev. C 94, 015201 (2016). arXiv:1605.00363
  5. 5.
    D. Ronchen, M. Dring, H. Haberzettl, J. Haidenbauer, U.G. Meiner, K. Nakayama, Eur. Phys. J. A 51, 70 (2015). arXiv:1504.01643
  6. 6.
    I.C. Cloet, C.D. Roberts, A.W. Thomas, Phys. Rev. Lett. 111, 101803 (2013). arXiv:1304.0855
  7. 7.
    L. Chang, I.C. Clot, C.D. Roberts, S.M. Schmidt, P.C. Tandy, Phys. Rev. Lett. 111, 141802 (2013). arXiv:1307.0026
  8. 8.
    L. Tiator, D. Drechsel, S. Kamalov, M. M. Giannini, E. Santopinto, A. Vassallo, Eur. Phys. J. A19, 55 (2004). arXiv:nucl-th/0310041
  9. 9.
    H. Kamano, S.X. Nakamura, T.S.H. Lee, T. Sato, Phys. Rev. C 88, 035209 (2013). arXiv:1305.4351
  10. 10.
    M. Tanabashi et al., Particle data group. Phys. Rev. D 98, 030001 (2018)ADSCrossRefGoogle Scholar
  11. 11.
    V. I. Mokeev, CLAS. Few Body Syst. 59, 46 (2018). arXiv:1801.09750
  12. 12.
    E. L. Isupov et al., CLAS. Phys. Rev. C96, 025209 (2017). arXiv:1705.01901
  13. 13.
    V.I. Mokeev, I.G. Aznauryan, Int. J. Mod. Phys. Conf. Ser. 26, 1460080 (2014). arXiv:1310.1101
  14. 14.
    V.I. Mokeev et al., CLAS. Phys. Rev. C 86, 035203 (2012). arXiv:1205.3948
  15. 15.
    I. G. Aznauryan et al., Int. J. Mod. Phys. E22, 1330015 (2013). arXiv:1212.4891
  16. 16.
    M. Oettel, G. Hellstern, R. Alkofer, H. Reinhardt, Phys. Rev. C 58, 2459 (1998). arXiv:nucl-th/9805054 ADSCrossRefGoogle Scholar
  17. 17.
    H. L. L. Roberts, L. Chang, I. C. Cloet, C. D. Roberts, Few Body Syst. 51, 1 (2011). arXiv:1101.4244
  18. 18.
    G. Eichmann, C.S. Fischer, H. Sanchis-Alepuz, Phys. Rev. D 94, 094033 (2016). arXiv:1607.05748
  19. 19.
    G. Eichmann, H. Sanchis-Alepuz, R. Williams, R. Alkofer, C.S. Fischer, Prog. Part. Nucl. Phys. 91, 1 (2016). arXiv:1606.09602
  20. 20.
    C. Chen, B. El-Bennich, C.D. Roberts, S.M. Schmidt, J. Segovia, S. Wan, Phys. Rev. D 97, 034016 (2018). arXiv:1711.03142
  21. 21.
    Y. Lu, C. Chen, C.D. Roberts, J. Segovia, S.-S. Xu, H.-S. Zong, Phys. Rev. C 96, 015208 (2017). arXiv:1705.03988
  22. 22.
    J. Segovia, C.D. Roberts, S.M. Schmidt, Phys. Lett. B 750, 100 (2015). arXiv:1506.05112
  23. 23.
    C. Alexandrou, P. de Forcrand, B. Lucini, Phys. Rev. Lett. 97, 222002 (2006). arXiv:hep-lat/0609004
  24. 24.
    R. Babich, N. Garron, C. Hoelbling, J. Howard, L. Lellouch, C. Rebbi, Phys. Rev. D 76, 074021 (2007). arXiv:hep-lat/0701023
  25. 25.
    R.T. Cahill, C.D. Roberts, J. Praschifka, J. Phys. Aust. 42, 129 (1989)CrossRefGoogle Scholar
  26. 26.
    C.J. Burden, R.T. Cahill, J. Praschifka, J. Phys. Aust. 42, 147 (1989)CrossRefGoogle Scholar
  27. 27.
    R.T. Cahill, J. Phys. Aust. 42, 171 (1989)CrossRefGoogle Scholar
  28. 28.
    H. Reinhardt, Phys. Lett. B 244, 316 (1990)ADSCrossRefGoogle Scholar
  29. 29.
    G.V. Efimov, M.A. Ivanov, V.E. Lyubovitskij, Z. Phys. C 47, 583 (1990)ADSCrossRefGoogle Scholar
  30. 30.
    D. Binosi, L. Chang, J. Papavassiliou, C.D. Roberts, Phys. Lett. B 742, 183 (2015). arXiv:1412.4782
  31. 31.
    D. Binosi, L. Chang, J. Papavassiliou, S.-X. Qin, C.D. Roberts, Phys. Rev. D 95, 031501 (2017). arXiv:1609.02568
  32. 32.
    D. Binosi, C. Mezrag, J. Papavassiliou, C.D. Roberts, J. Rodriguez-Quintero, Phys. Rev. D 96, 054026 (2017). arXiv:1612.04835
  33. 33.
    K.D. Lane, Phys. Rev. D 10, 2605 (1974)ADSCrossRefGoogle Scholar
  34. 34.
    H.D. Politzer, Nucl. Phys. B 117, 397 (1976)ADSCrossRefGoogle Scholar
  35. 35.
    J.B. Zhang, P.O. Bowman, R.J. Coad, U.M. Heller, D.B. Leinweber, A.G. Williams, Phys. Rev. D 71, 014501 (2005). arXiv:hep-lat/0410045
  36. 36.
    M.S. Bhagwat, P.C. Tandy, Phys. Rev. D 70, 094039 (2004). arXiv:hep-ph/0407163
  37. 37.
    M. S. Bhagwat and P. C. Tandy, AIP Conf. Proc. 842, 225 (2006). arXiv:nucl-th/0601020
  38. 38.
    C.D. Roberts, M.S. Bhagwat, A. Holl, S.V. Wright, Eur. Phys. J. ST 140, 53 (2007). arXiv:0802.0217
  39. 39.
    T. Horn, C.D. Roberts, J. Phys. G43, 073001 (2016). arXiv:1602.04016
  40. 40.
    C. Chen, L. Chang, C.D. Roberts, S. Wan, D.J. Wilson, Few Body Syst. 53, 293 (2012). arXiv:1204.2553
  41. 41.
    J. Segovia, I.C. Cloet, C.D. Roberts, S.M. Schmidt, Few Body Syst. 55, 1185 (2014). arXiv:1408.2919
  42. 42.
    N. Suzuki, B. Julia-Diaz, H. Kamano, T.S.H. Lee, A. Matsuyama, T. Sato, Phys. Rev. Lett. 104, 042302 (2010). arXiv:0909.1356
  43. 43.
    G. Eichmann, R. Alkofer, I.C. Cloet, A. Krassnigg, C.D. Roberts, Phys. Rev. C 77, 042202 (2008). arXiv:0802.1948
  44. 44.
    G. Eichmann, I.C. Cloet, R. Alkofer, A. Krassnigg, C.D. Roberts, Phys. Rev. C 79, 012202 (2009). arXiv:0810.1222
  45. 45.
    M. Dring, Int. J. Mod. Phys. Conf. Ser. 26, 1460054 (2014)CrossRefGoogle Scholar
  46. 46.
    A.M. Gasparyan, J. Haidenbauer, C. Hanhart, J. Speth, Phys. Rev. C 68, 045207 (2003). arXiv:nucl-th/0307072
  47. 47.
    A. Holl, A. Krassnigg, C.D. Roberts, Phys. Rev. C 70, 042203 (2004). arXiv:nucl-th/0406030
  48. 48.
    S.-X. Qin, L. Chang, Y.-X. Liu, C.D. Roberts, D.J. Wilson, Phys. Rev. C 85, 035202 (2012). arXiv:1109.3459
  49. 49.
    E. Rojas, B. El-Bennich, J.P.B.C. de Melo, Phys. Rev. D 90, 074025 (2014). arXiv:1407.3598
  50. 50.
    B.L. Li, L. Chang, F. Gao, C.D. Roberts, S.M. Schmidt, H.S. Zong, Phys. Rev. D 93, 114033 (2016). arXiv:1604.07415
  51. 51.
    B.-L. Li, L. Chang, M. Ding, C.D. Roberts, H.-S. Zong, Phys. Rev. D 94, 094014 (2016). arXiv:1608.04749
  52. 52.
    C. Mezrag, J. Segovia, L. Chang, C.D. Roberts, Phys. Lett. B 783, 263 (2018). arXiv:1711.09101
  53. 53.
    M. Oettel, M. Pichowsky, L. von Smekal, Eur. Phys. J. A 8, 251 (2000). arXiv:nucl-th/9909082
  54. 54.
    I.G. Aznauryan et al., Phys. Rev. C 80, 055203 (2009). arXiv:0909.2349
  55. 55.
    V.I. Mokeev et al., Phys. Rev. C 93, 025206 (2016). arXiv:1509.05460
  56. 56.
    C.D. Roberts, J. Segovia, Few Body Syst. 57, 1067 (2016). arXiv:1603.02722
  57. 57.
    H. Kamano, Few Body Syst. 59, 24 (2018)ADSCrossRefGoogle Scholar
  58. 58.
    M. Dugger et al., CLAS, Phys. Rev. C 79, 065206 (2009). arXiv:0903.1110
  59. 59.
    C. Chen, Y. Lu, D. Binosi, C. D. Roberts, J. Rodrguez-Quintero, J. Segovia (2018). arXiv:1811.08440
  60. 60.
    V.I. Mokeev, Few Body Syst. 57, 909 (2016). arXiv:1602.04160
  61. 61.
    D. S. Carman, CLAS, Few Body Syst. 57, 941 (2016). arXiv:1601.02488

Copyright information

© Springer-Verlag GmbH Austria, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Departamento de Sistemas Físicos, Químicos y NaturalesUniversidad Pablo de OlavideSevilleSpain

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