Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2004-07-12
Phys.Rev. D70 (2004) 096008
Physics
High Energy Physics
High Energy Physics - Phenomenology
34 pages, 5 figures, minor modification, to appear in Phys. Rev. D
Scientific paper
10.1103/PhysRevD.70.096008
We study the properties of light mesons in the scalar, pseudo-scalar, 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 q\bar{q} Fock state with the constituent quark and antiquark. By solving the bound-state equation, we simultaneously obtain a mass and a light-cone (LC) wavefunction of the meson. While we reproduce the previous results for the scalar and pseudo-scalar 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 wavefunction. 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 wavefunction of the pseudo-scalar meson is broadly distributed in longitudinal momentum (x) space, that of the vector meson is squeezed around x=1/2.
Itakura Kazuhiro
Maedan Shinji
Naito Kenichi
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