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Fock space expansion of sigma meson in leading-N(c)



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Llanes Estrada, Felipe José and Peláez Sagredo, José Ramón and Ruiz de Elvira, Jacobo (2010) Fock space expansion of sigma meson in leading-N(c). Nuclear Physics B-Proceedings Supplements, 207-20 . pp. 169-172. ISSN 0920-5632

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Official URL: http://dx.doi.org/10.1016/j.nuclphysbps.2010.10.044


We examine the leading-N(c) behavior of the masses and transition matrix elements of some low-lying, few particle configurations in QCD. A truncation of the Fock space produces an effective, symmetric Hamiltonian that we diagonalize. The lowest eigenvalue is identified as the sigma meson if the Hamiltonian is chosen to represent the scalar sector. As an application, the coefficients of the (c) powers are then fit to two-loop Unitarized SU(2) Chiral Perturbation Theory results for the sigma mass and width as a function of the number of colors, and we show that those results can be accommodated using the QCD N(c) dependence previously derived for matrix elements, without the need for unnatural parameters or fine tunings. Finally, we show a very preliminary good quality fit, estimating the proportion of tetraquark/molecule-like (dominant), q (q) over bar like (subdominant) and exotic-like (marginal) configurations in the sigma.

Item Type:Article
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Copyright © 2010 Elsevier B.V. All rights reserved.
We thank S. Narison for the invitation to the inspiring 2010 edition of this conference, and interesting discussions with R. Jaffe, J. A. Oller. Work supported by grants FPA2008-00592, FIS2008-01323, FIS2006-03438 (MICINN), U.Complutense/Banco Santander grant PR34/07-15875 BSCH and UCMBSCH GR58/08 910309 and the EU-Research Infrastructure Integrating Activity “Study of Strongly Interacting Matter” (HadronPhysics2, Grant 227431) under the EU 7th Framework Programme.
High Energy Physics International Conference on Quantum Chromodynamics (15. 2010. Montpellier, Francia)

Uncontrolled Keywords:Chiral Perturbation-Theory
Subjects:Sciences > Physics
ID Code:23917
Deposited On:19 Dec 2013 18:16
Last Modified:31 Dec 2020 00:02

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