\begin{document}${\cal{O}}\left( {{p^3}} \right)$\end{document} results obtained in covariant baryon chiral perturbation theory within the extended-on-nass-shell scheme. By fitting to data on partial-wave phase shifts, it is indicated that the existences of hidden poles in S11 and P11 channels, as conjectured in our previous paper [Eur. Phys. J. C, 78(7): 543 (2018)], are firmly established. Specifically, the pole mass of the S11 hidden resonance is determined to be (895±81)−(164±23)i MeV, whereas, the virtual pole in the P11 channel locates at (966±18) MeV. It is found that analyses at the \begin{document}${\cal{O}}\left( {{p^3}} \right)$\end{document} level improves significantly the fit quality, comparing with the previous \begin{document}${\cal{O}}\left( {{p^2}} \right)$\end{document} one. Quantitative studies with cautious physical discussions are also conducted for the other S- and P-wave channels."> New insights on low energy <i>πN</i> scattering amplitudes: comprehensive analyses at <inline-formula><tex-math id="M1">\begin{document}${{{\cal{O}}\left(p^3\right)}}$\end{document}</tex-math><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/604f4a35-8cee-4baf-a233-024754a06d73/CPC-2019-0060_M1.jpg"/><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/604f4a35-8cee-4baf-a233-024754a06d73/CPC-2019-0060_M1.png"/></alternatives></inline-formula> level -
  • [1]

    B.H. Bransden and R.G. Moorhouse,The pion-nucleon system, Princeton University Press, 1973;

  • [2]

    G. Höhler,Landolt-Börnstein, Vol. 9b2, edited by H. Schopper, Springer, Berlin, 1983

  • [3]

    R. Koch and E. Pietarinen, Nucl. Phys. A,336: 331 (1980)

  • [4]

    R. Koch, Nucl. Phys. A,448: 707 (1986)

  • [5]

    E. Matsinos, W. S. Woolcock G. C. Oades et al, Nucl. Phys. A,778: 95 (2006), arXiv:hep-ph/0607080

  • [6]

    Computer code SAID, online program at http://gwdac.phys.gwu.edu/ (solution WI08), and R. A. Arndt et al., Phys. Rev. C 74, 045205(2006) (solution SM01).

  • [7]

    L. D. Roper, Phys. Rev. Lett.,12: 340 (1964)

  • [8]

    A. Bottino, F. Donato, N. Fornengo et al, Astropart. Phys.,13: 215 (2000), arXiv:hep-ph/9909228

  • [9]

    A. Bottino, F. Donato, N. Fornengo et al, Astropart. Phys.,18: 205 (2002), arXiv:hep-ph/0111229

  • [10]

    J. Gasser, M. E. Sainio and A. Svarc, Nucl. Phys. B,307: 779 (1988)

  • [11]

    E. E. Jenkins and A. V. Manohar, Phys. Lett. B,255: 558 (1991)

  • [12]

    V. Bernard, N. Kaiser, J. Kambor et al, Nucl. Phys. B,388: 315 (1992)

  • [13]

    P. J. Ellis and H. B. Tang, Phys. Rev. C,57: 3356 (1998), arXiv:hepph/9709354

  • [14]

    T. Becher and H. Leutwyler, Eur. Phys. J. C,9: 643 (1999), arXiv:hep-ph/9901384

  • [15]

    J. Gegelia, G. Japaridze and X. Q. Wang, J. Phys. G,29: 2303 (2003), arXiv:hep-ph/9910260

  • [16]

    J. Gegelia and G. Japaridze, Phys. Rev. D,60: 114038 (1999), arXiv:hep-ph/9908377

  • [17]

    T. Fuchs, J. Gegelia, G. Japaridze et al, Phys. Rev. D,68: 056005 (2003), arXiv:hep-ph/0302117

  • [18]

    E. Epelbaum, J. Gegelia, U. G. Meißner et al, Eur. Phys. J. C,75(10): 499 (2015), arXiv:1510.02388[hep-ph

  • [19]

    N. Fettes, U. G. Meißner and S. Steininger, Nucl. Phys. A,640: 199 (1998), arXiv:hep-ph/9803266

  • [20]

    N. Fettes and U. G. Meißner, Nucl. Phys. A,676: 311 (2000), arXiv:hep-ph/0002162

  • [21]

    N. Fettes and U. G. Meißner, Nucl. Phys. A,679: 629 (2001), arXiv:hep-ph/0006299

  • [22]

    T. Becher and H. Leutwyler, JHEP,0106: 017 (2001), arXiv:hepph/0103263

  • [23]

    M. Mai, P. C. Bruns, B. Kubis et al, Phys. Rev. D,80: 094006 (2009), arXiv:hep-ph/0905.2810

  • [24]

    P. C. Bruns, M. Mai and Ulf-G. Meißner, Phys. Lett. B,697: 254 (2011), arXiv:nucl-th/1012.2233

  • [25]

    J. M. Alarcon, J. Martin Camalich, J. A. Oller et al, Phys. Rev. C,83: 055205 (2011), arXiv:1102.1537[nucl-th

  • [26]

    Y. H. Chen, D. L. Yao and H. Q. Zheng, Phys. Rev. D,87: 054019 (2013), arXiv:1212.1893[hep-ph

  • [27]

    D. L. Yao, D. Siemens, V. Bernard et al, JHEP,1605: 038 (2016), arXiv:1603.03638[hep-ph

  • [28]

    D. Siemens, V. Bernard, E. Epelbaum et al, Phys. Rev. C,94(1): 014620 (2016), arXiv:1602.02640[nucl-th

  • [29]

    J. X. Lu, L. S. Geng, X. L. Ren et al, [arXiv: 1812.03799[nucl-th]]

  • [30]

    V. Pascalutsa, B. R. Holstein and M. Vanderhaeghen, Phys. Lett. B,600: 239 (2004), arXiv:hep-ph/0407313

  • [31]

    V. Pascalutsa, AIP Conf. Proc.,1388: 60 (2011), arXiv:1105.2509[hep-ph

  • [32]

    J. M. Alarcon, J. Martin Camalich and J. A. Oller, Annals Phys.,336: 413 (2013), arXiv:1210.4450[hep-ph

  • [33]

    G. F. Chew, M. L. Goldberger, F. E. Low et al, Phys. Rev.,106: 1337 (1957)

  • [34]

    J. Hamilton and W. S. Woolcock, Rev. Mod. Phys.,35: 737 (1963)

  • [35]

    F. Steiner, Fortsch. Phys.,18: 43 (1970)

  • [36]

    A. Gasparyan and M. F. M. Lutz, Nucl. Phys. A,848: 126 (2010), arXiv:1003.3426[hep-ph

  • [37]

    C. Ditsche, M. Hoferichter, B. Kubis et al, JHEP,1206: 043 (2012), arXiv:1203.4758[hep-ph

  • [38]

    M. Hoferichter, J. Ruiz de Elvira, B. Kubis et al, Phys. Rept.,625: 1 (2016), arXiv:1510.06039[hep-ph

  • [39]

    Y. F. Wang, D. L. Yao, and H. Q. Zheng, Eur. Phys. J. C,78(7): 543 (2018), arXiv:1712.09257[hep-ph

  • [40]

    Z. Xiao and H. Q. Zheng, Nucl. Phys. A,695: 273 (2001), arXiv:1510.06039[hep-ph

  • [41]

    H. Q. Zheng, Z. Y. Zhou, G. Y. Qin et al, Nucl. Phys. A,733: 235 (2004), arXiv:hep-ph/0310293

  • [42]

    Z. Y. Zhou and H. Q. Zheng, Nucl. Phys. A,775: 212 (2006), arXiv:hep-ph/0603062

  • [43]

    Z. Y. Zhou, G. Y. Qin, P. Zhang et al, JHEP,0502: 043 (2005), arXiv:hep-ph/0406271

  • [44]

    G. Y. Qin, W. Z. Deng, Z. Xiao et al, Phys. Lett. B,542: 89 (2002), arXiv:hep-ph/0205214

  • [45]

    Z. H. Guo, J. J. Sanz Cillero and H. Q. Zheng, JHEP,06: 030 (2007), arXiv:hep-ph/0701232

  • [46]

    Z. H. Guo, J. J. Sanz Cillero, and H. Q. Zheng, Phys. Lett. B,661: 342 (2008), arXiv:hep-ph/0710.2163

  • [47]

    S. W. MacDowell, Phys. Rev.,116: 774 (1959)

  • [48]

    J. Kennedy and T. D. Spearman, Phys. Rev.,126: 1596 (1961)

  • [49]

    N. Fettes, U. G. Meißner, M. Mojzis et al, Annals Phys.,283: 273 (2000), arXiv:hep-ph/0001308

  • [50]

    J. Gasser and H. Leutwyler, Annals Phys.,158: 142 (1984)

  • [51]

    D. Siemens, J. Ruiz de Elvira, E. Epelbaum et al, Phys. Lett. B,770: 27 (2017), arXiv:1610.08978[nucl-th

  • [52]

    N. Hu, Phys. Rev.,74: 131 (1948)

  • [53]

    T. Regge, Nuovo Cim.,8: 671 (1958)

  • [54]

    Y. F. Wang, D. L. Yao and H. Q. Zheng, Front. Phys. (Beijing),14(2): 24501 (2019)

  • [55]

    I. Caprini, G. Colangelo, and H. Leutwyler, Phys. Rev. Lett.,96: 132001 (2006)

  • [56]

    S. Descotes-Genon and B. Moussallam, Eur. Phys. J. C,48: 553 (2006)

  • [57]

    G. Passarino and M. J. G. Veltman, Nucl. Phys. B,160: 151 (1979)

Baidu
map