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Chiral corrections to the Roper mass

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Abstract

The quark mass dependence of the Roper mass is analyzed to one-loop order in covariant baryon chiral perturbation theory. The loop integrals are evaluated using infrared regularization which preserves chiral symmetry and establishes a chiral counting scheme. The derived chiral expansion of the Roper mass may prove useful for chiral extrapolations of lattice data. For couplings of natural size it is shown that the quark mass dependence of the Roper mass is similar to the one of the nucleon.

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References

  1. S. Sasaki, T. Blum and S. Ohta, Phys. Rev. D 65 (2002) 074503 [arXiv:hep-lat/0102010].

    Article  ADS  Google Scholar 

  2. N. Mathur et al., Phys. Lett. B 605 (2005) 137 [arXiv:hepph/0306199].

    Article  ADS  Google Scholar 

  3. D. B. Leinweber, W. Melnitchouk, D. G. Richards, A. G. Williams and J. M. Zanotti, Lect. Notes Phys. 663 (2005) 71 [arXiv:nucl-th/0406032].

    Article  ADS  Google Scholar 

  4. D. Guadagnoli, M. Papinutto and S. Simula, Phys. Lett. B 604 (2004) 74 [arXiv:hep-lat/0409011].

    Article  ADS  Google Scholar 

  5. K. Sasaki and S. Sasaki, Phys. Rev. D 72 (2005) 034502 [arXiv:hep-lat/0503026].

    Article  ADS  Google Scholar 

  6. K. Sasaki, S. Sasaki and T. Hatsuda, Phys. Lett. B 623 (2005) 208 [arXiv:hep-lat/0504020].

    Article  ADS  Google Scholar 

  7. T. Burch, C. Gattringer, L. Y. Glozman, C. Hagen, D. Hierl, C. B. Lang and A. Schäfer, Phys. Rev. D 74 (2006) 014504 [arXiv:hep-lat/0604019].

    Article  ADS  Google Scholar 

  8. J. Bulava et al., arXiv:0708.2072 [hep-lat].

    Google Scholar 

  9. B. Borasoy, P. C. Bruns, U.-G. Meißner and R. Lewis, Phys. Lett. B 641 (2006) 294 [arXiv:hep-lat/0608001].

    Article  ADS  Google Scholar 

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

    ADS  Google Scholar 

  11. N. Fettes, U.-G. Meißner, M. Mojžiš and S. Steininger, Annals Phys. 283 (2000) 273 [Erratum-ibid. 288 (2001) 249] [arXiv:hep-ph/0001308].

    Article  ADS  Google Scholar 

  12. B. Borasoy and U.-G. Meißner, Annals Phys. 254 (1997) 192 [arXiv:hep-ph/9607432].

    Article  ADS  Google Scholar 

  13. P. J. Ellis and H. B. Tang, Phys. Rev. C 57 (1998) 3356 [arXiv:hep-ph/9709354].

    Article  ADS  Google Scholar 

  14. P. C. Bruns and U.-G. Meißner, Eur. Phys. J. C 40 (2005) 97 [arXiv:hep-ph/0411223].

    Article  ADS  Google Scholar 

  15. B. Borasoy and S. Wetzel, Phys. Rev. D 63 (2001) 074019 [arXiv:hep-ph/0105132]; N. Beisert and B. Borasoy, Eur. Phys. J. A 11 (2001) 329 [arXiv:hep-ph/0107175]; N. Beisert and B. Borasoy, Nucl. Phys. A 705 (2002) 433 [arXiv:hep-ph/0201289].

    Article  ADS  Google Scholar 

  16. V. Bernard, T. R. Hemmert and U.-G. Meißner, Nucl. Phys. A 732 (2004) 149 [arXiv:hep-ph/0307115].

    Article  MATH  ADS  Google Scholar 

  17. V. Bernard, N. Kaiser and U.-G. Meißner, Nucl. Phys. B 457 (1995) 147 [arXiv:hep-ph/9507418].

    Article  ADS  Google Scholar 

  18. E. Hernandez, E. Oset and M. J. Vicente Vacas, Phys. Rev. C 66 (2002) 065201 [arXiv:nucl-th/0209009].

    Article  ADS  Google Scholar 

  19. B. Borasoy, P. C. Bruns and U.-G. Meißner, work in progryss.

    Google Scholar 

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© 2008 Società Italiana di Fisica / Springer-Verlag

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Borasoy, B. (2008). Chiral corrections to the Roper mass. In: Hammer, HW., Kleber, V., Thoma, U., Schmieden, H. (eds) NSTAR 2007. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-85144-8_24

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