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arXiv · hep-ph/0308096

Vector Mesons on the Light Front

K. Naito·S. Maedan·K. Itakura
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Abstract

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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K. Naito, S. Maedan, K. Itakura. 2003-11-25. Vector Mesons on the Light Front. https://doi.org/10.1016/j.physletb.2004.01.007

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