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arXiv · 2307.16590

Numerical analysis of a baryon and its dilatation modes in holographic QCD

Keiichiro Hori·Hideo Suganuma·Hiroki Kanda
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Abstract

We investigate a baryon and its dilatation modes in holographic QCD based on the Sakai-Sugimoto model, which is expressed as a 1+4 dimensional U($N_f$) gauge theory in the flavor space. For spatially rotational symmetric systems, we apply a generalized version of the Witten Ansatz, and reduce 1+4 dimensional holographic QCD into a 1+2 dimensional Abelian Higgs theory in a curved space. In the reduced theory, the holographic baryon is described as a two-dimensional topological object of an Abrikosov vortex. We numerically calculate the baryon solution of holographic QCD using a fine and large lattice with spacing of 0.04 fm and size of 10 fm. Using the relation between the baryon size and the zero-point location of the Higgs field in the description with the Witten Ansatz, we investigate a various-size baryon through this vortex description. As time-dependent size-oscillation modes (dilatation modes) of a baryon, we numerically obtain the lowest excitation energy of 577 MeV and deduce the dilatational excitation of a nucleon to be the Roper resonance N$^*$(1440).

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Keiichiro Hori, Hideo Suganuma, Hiroki Kanda. 2023-07-31. Numerical analysis of a baryon and its dilatation modes in holographic QCD. https://doi.org/10.1103/physrevd.109.014030

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