Light mesons on the light front
- Meme Media Laboratory, Hokkaido University, Sapporo 060-8628 (Japan)
- Department of Physics, Tokyo National College of Technology, Tokyo 193-0997 (Japan)
- Service de Physique Theorique, CEA/Saclay, F91191 Gif-sur-Yvette Cedex (France)
We study the properties of light mesons in the scalar, pseudoscalar, and vector channels within the light-front quantization, by using the (one flavor) Nambu-Jona-Lasinio model with vector interaction. After taking into account the effects of chiral symmetry breaking, we derive the bound-state equation in each channel in the large N limit (N is the number of colors), which means that we consider the lowest qq Fock state with the constituent quark and antiquark. By solving the bound-state equation, we simultaneously obtain a mass and a light cone (LC) wave function of the meson. While we reproduce the previous results for the scalar and pseudoscalar mesons, we find that, for a vector meson, the bound-state equations for the transverse and longitudinal polarizations look different from each other. However, eventually after imposing a cutoff which is invariant under the parity and boost transformations, one finds these two are identical, giving the same mass and the same (spin-independent) LC wave function. When the vector interaction becomes larger than a critical value, the vector state forms a bound state, whose mass decreases as the interaction becomes stronger. While the LC wave function of the pseudoscalar meson is broadly distributed in longitudinal momentum (x) space, that of the vector meson is squeezed around x=1/2.
- OSTI ID:
- 20705663
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 70, Issue 9; Other Information: DOI: 10.1103/PhysRevD.70.096008; (c) 2004 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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