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Llanes Estrada, Felipe José and Cotanch, Stephen R. (2002) Relativistic manybody Hamiltonian approach to mesons. Nuclear Physics A, 697 . pp. 303337. ISSN 03759474
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Official URL: http://dx.doi.org/10.1016/S03759474(01)012374
URL  URL Type 

http://arxiv.org/abs/hepph/0101078  Organisation 
http://www.sciencedirect.com  Publisher 
Abstract
We represent QCD at the hadronic scale by means of an effective Hamiltonian, H, formulated in the Coulomb gauge. As in the NambuJonaLasinio model, chiral symmetry is explicitly broken, however our approach is renormalizable and also includes confinement through a linear potential with slope specified by lattice gauge theory. This interaction generates an infrared integrable singularity and we detail the computationally intensive procedure necessary for numerical solution. We focus upon applications for the u, d, s and c quark flavors and compute the mass spectrum for the pseudoscalar, scalar and vector mesons. We also perform a comparative study of alternative manybody techniques for approximately diagonalizing, H: BCS for the vacuum ground state; TDA and RPA for the excited hadron states. The Dirac structure of the field theoretical Hamiltonian naturally generates spin dependent interactions, including tensor, spinorbit and hyperfine, and we clarify the degree of level splitting due to both spin and chiral symmetry effects. Significantly, we find that roughly two thirds of the pirho mass difference is due to chiral symmetry and that only the RPA preserves chiral symmetry. We also document how hadronic mass scales are generated by chiral symmetry breaking in the model vacuum. In addition to the vacuum condensates, we compute meson decay constants and detail the NambuGoldstone realization of chiral symmetry by numerically verifying the GellMannOakesRenner relation.
Item Type:  Article 

Additional Information:  ©2002 Elsevier Science B.V. All rights reserved. 
Uncontrolled Keywords:  ChiralSymmetryBreaking, Confining Potentials, Goldstone Pion, Qcd, Model, Transitions, Quarkonium, Physics, Puzzle, Field 
Subjects:  Sciences > Physics 
ID Code:  23482 
Deposited On:  11 Nov 2013 15:35 
Last Modified:  20 Apr 2018 18:18 
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