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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
S. Sasaki, T. Blum and S. Ohta, Phys. Rev. D 65 (2002) 074503 [arXiv:hep-lat/0102010].
N. Mathur et al., Phys. Lett. B 605 (2005) 137 [arXiv:hepph/0306199].
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].
D. Guadagnoli, M. Papinutto and S. Simula, Phys. Lett. B 604 (2004) 74 [arXiv:hep-lat/0409011].
K. Sasaki and S. Sasaki, Phys. Rev. D 72 (2005) 034502 [arXiv:hep-lat/0503026].
K. Sasaki, S. Sasaki and T. Hatsuda, Phys. Lett. B 623 (2005) 208 [arXiv:hep-lat/0504020].
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].
J. Bulava et al., arXiv:0708.2072 [hep-lat].
B. Borasoy, P. C. Bruns, U.-G. Meißner and R. Lewis, Phys. Lett. B 641 (2006) 294 [arXiv:hep-lat/0608001].
T. Becher and H. Leutwyler, Eur. Phys. J. C 9 (1999) 643 [arXiv:hep-ph/9901384].
N. Fettes, U.-G. Meißner, M. Mojžiš and S. Steininger, Annals Phys. 283 (2000) 273 [Erratum-ibid. 288 (2001) 249] [arXiv:hep-ph/0001308].
B. Borasoy and U.-G. Meißner, Annals Phys. 254 (1997) 192 [arXiv:hep-ph/9607432].
P. J. Ellis and H. B. Tang, Phys. Rev. C 57 (1998) 3356 [arXiv:hep-ph/9709354].
P. C. Bruns and U.-G. Meißner, Eur. Phys. J. C 40 (2005) 97 [arXiv:hep-ph/0411223].
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].
V. Bernard, T. R. Hemmert and U.-G. Meißner, Nucl. Phys. A 732 (2004) 149 [arXiv:hep-ph/0307115].
V. Bernard, N. Kaiser and U.-G. Meißner, Nucl. Phys. B 457 (1995) 147 [arXiv:hep-ph/9507418].
E. Hernandez, E. Oset and M. J. Vicente Vacas, Phys. Rev. C 66 (2002) 065201 [arXiv:nucl-th/0209009].
B. Borasoy, P. C. Bruns and U.-G. Meißner, work in progryss.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2008 Società Italiana di Fisica / Springer-Verlag
About this paper
Cite this paper
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
Download citation
DOI: https://doi.org/10.1007/978-3-540-85144-8_24
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-85143-1
Online ISBN: 978-3-540-85144-8
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)