Publication: Quark-mass dependence of the ρ and σ mesons from dispersion relations and chiral perturbation theory
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2008-03
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American Physical Society
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Abstract
We use the one-loop chiral perturbation theory π π -scattering amplitude and dispersion theory in the form of the inverse amplitude method to study the quark-mass dependence of the two lightest resonances of the strong interactions, the f_0(600) (σ) and the ρ meson. As the main results, we find that the rho π π coupling constant is almost quark mass independent and that the ρ mass shows a smooth quark-mass dependence while that of the σ shows a strong nonanalyticity. These findings are important for studies of the meson spectrum on the lattice.
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©2008 The American Physical Society.
We thank G. Colangelo, S. Du¨rr, V. V. Flambaum, U. G. Meißner, and A. Rusetsky for their useful comments.
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[1] S. Aoki et al., Phys. Rev. D 60, 114508 (1999).
[2] K. F. Liu, Prog. Theor. Phys. Suppl. 168, 160 (2007); C. McNeile and C. Michael, Phys. Rev. D 74, 014508 (2006); M. G. Alford and R. L. Jaffe, Nucl. Phys. B 578, 367 (2000); T. Kunihiro et al., Phys. Rev. D 70, 034504 (2004).
[3] S. Weinberg, Physica A (Amsterdam) 96, 327 (1979).
[4] J. Gasser and H. Leutwyler, Ann. Phys. (N.Y.) 158, 142 (1984); Nucl. Phys. B 250, 465 (1985).
[5] A. G. Nicola et al., Phys. Rev. D 77, 056006 (2008).
[6] J. R. Peláez and G. Ríos, Phys. Rev. Lett. 97, 242002 (2006); J. R. Peláez, Phys. Rev. Lett. 92, 102001 (2004).
[7] C. J. Hogan, Rev. Mod. Phys. 72, 1149 (2000); H. Oberhummer et al., Science 289, 88 (2000); T. Damour and J. F. Donoghue, arXiv:0712.2968.
[8] T. E. Jeltema and M. Sher, Phys. Rev. D 61, 017301 (1999).
[9] J. K. Webb et al., Phys. Rev. Lett. 82, 884 (1999).
[10] V. V. Flambaum and E. V. Shuryak, Phys. Rev. D 65, 103503 (2002).
[11] I. Caprini et al., Phys. Rev. Lett. 96, 132001 (2006).
[12] T. N. Truong, Phys. Rev. Lett. 61, 2526 (1988); Phys. Rev. Lett. 67, 2260 (1991); A. Dobado et al., Phys. Lett. B 235, 134 (1990).
[13] A. Dobado and J. R. Peláez, Phys. Rev. D 47, 4883 (1993); Phys. Rev. D 56, 3057 (1997).
[14] F. Guerrero and J. A. Oller, Nucl. Phys. B 537, 459 (1999); 602, 641(E) (2001); J. R. Peláez, Mod. Phys. Lett. A 19, 2879 (2004); A. Gómez Nicola and J. R. Peláez, Phys. Rev. D 65, 054009 (2002); AIP Conf. Proc. 660, 102 (2003).
[15] D. Fernandez-Fraile et al., Phys. Rev. D 76, 085020 (2007).
[16] D. Morgan, Nucl. Phys. A 543, 632 (1992); D. Morgan and M. R. Pennington, Phys. Rev. D 48, 1185 (1993).
[17] V. Baru et al., Phys. Lett. B 586, 53 (2004).
[18] E. van Beveren et al., AIP Conf. Proc. 660, 353 (2003); Phys. Rev. D 74, 037501 (2006).
[19] G. Colangelo and S. Dürr, Eur. Phys. J. C 33, 543 (2004).
[20] S. Aoki et al., Phys. Rev. D 76, 094506 (2007).
[21] S. Weinberg, Phys. Rev. 130, 776 (1963); Y. Kalashnikova et al., Eur. Phys. J. A 24, 437 (2005).
[22] P. C. Bruns and U.-G. Meißner, Eur. Phys. J. C 40, 97 (2005).