An approach towards a constituent quark model on the light cone
We use the vacuum expectation value of a Wegner-Wilson loop representing a fast moving quark-antiquark pair to derive the light cone Hamiltonian for a qq¯ meson. We solve the corresponding Schrödinger equation for various trial wave functions. The result shows how confinement determines the meson m...
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| Main Authors: | , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
[2009]
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| In: |
Nuclear physics. A, Nuclear and hadronic physics
Year: 2009, Volume: 819, Issue: 1, Pages: 135-149 |
| ISSN: | 1873-1554 |
| DOI: | 10.1016/j.nuclphysa.2009.01.008 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1016/j.nuclphysa.2009.01.008 Verlag, lizenzpflichtig, Volltext: http://www.sciencedirect.com/science/article/pii/S0375947409000220 
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| Author Notes: | H. J. Pirner, B. Galow, O. Schlaudt |
| Summary: | We use the vacuum expectation value of a Wegner-Wilson loop representing a fast moving quark-antiquark pair to derive the light cone Hamiltonian for a qq¯ meson. We solve the corresponding Schrödinger equation for various trial wave functions. The result shows how confinement determines the meson mass and wave function for valence quarks on the light cone. We also parametrize the effect of the spin-dependent splitting for a light meson and charmonium. The correct chiral-symmetry breaking pattern for the pion mass is obtained due to the self-energy of the quark. |
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| Item Description: | Available online 23 January 2009 Gesehen am 21.10.2020 |
| Physical Description: | Online Resource |
| ISSN: | 1873-1554 |
| DOI: | 10.1016/j.nuclphysa.2009.01.008 |