Vector Mesons on the Light Front

Details Vector Mesons on the Light Front Vector Mesons on the Light Front

2003-08-08

arxiv.org/abs/hep-ph/0308096v2

Phys.Lett. B583 (2004) 87-95

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, 3 figures, discussion on the cutoff scheme changed, Fig.3 replaced, and one reference added

Scientific paper

10.1016/j.physletb.2004.01.007

We apply the light-front quantization to the Nambu--Jona-Lasinio model with the vector interaction, and compute vector meson's mass and light-cone wavefunction in the large N limit. Following the same procedure as in the previous analyses for scalar and pseudo-scalar mesons, we derive the bound-state equations of a q-qbar system in the vector channel. We include the lowest order effects of the vector interaction. The resulting transverse and longitudinal components of the bound-state equation look different from each other. But eventually after imposing an appropriate cutoff, one finds these two are identical, giving the same mass and the same (spin-independent) light-cone wavefunction. Mass of the vector meson decreases as one increases the strength of the vector interaction.

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