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Gravitational form factor of the kaon in holographic QCD

Zhibo Liu, Akira Watanabe

Abstract

The gravitational form factor (GFF) of the kaon is investigated in a bottom-up holographic QCD model, in which the strange quark mass breaks the SU(3) flavor symmetry. The probe energy ($Q^2$) dependence of the kaon GFF is explicitly shown and compared to that of the pion. It is presented that our result shows the $1/Q^2$ behavior in the high energy region, which is consistent with the perturbative QCD prediction. The gravitational radius of the kaon is also calculated, and it is found that the result is quite close to that of the pion but slightly smaller.

Gravitational form factor of the kaon in holographic QCD

Abstract

The gravitational form factor (GFF) of the kaon is investigated in a bottom-up holographic QCD model, in which the strange quark mass breaks the SU(3) flavor symmetry. The probe energy () dependence of the kaon GFF is explicitly shown and compared to that of the pion. It is presented that our result shows the behavior in the high energy region, which is consistent with the perturbative QCD prediction. The gravitational radius of the kaon is also calculated, and it is found that the result is quite close to that of the pion but slightly smaller.

Paper Structure

This paper contains 5 sections, 56 equations, 2 figures.

Table of Contents

  1. Introduction
  2. Bottom-up holographic QCD model for $N_f = 3$
  3. Gravitational form factor of the kaon
  4. Gravitational radius of the kaon
  5. Conclusion

Figures (2)

  • Figure 1: The kaon bulk profiles $\pi^a$ and $\phi^a$ as a function of $z$, which correspond to $M_K = 495.7$ MeV for a = 4,5,6,7.
  • Figure 2: The GFF as a function of $Q^2$. The solid and dashed curves represent our kaon result and the preceding study result for the pion Abidin:2008hn, respectively.