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Vector meson effects on multi-Skyrmion states from the rational map ansatz

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Abstract

The roles of the lightest vector mesons ρ and ω in the multi-Skyrmion states are studied using the hidden local symmetry approach up to the next-to-leading order, including the homogeneous Wess-Zumino terms. The low-energy constants in the effective field theory are determined using the Sakai-Sugimoto model and the flat-space five-dimensional Yang-Mills action. With only two inputs, mρ and fπ, it is possible to determine all low-energy constants without ambiguity. The vector meson effects can be investigated by sequentially integrating vector mesons, and their geometry can be elucidated by comparing the results using the low-energy constants estimated from the Sakai-Sugimoto model and the flat-space five-dimensional Yang-Mills action. We found that the ρ meson reduces the masses of the multi-Skyrmion states and increases the overlaps of their constituents, whereas the ω meson repulses the constituents of the multi-Skyrmion states and increases their masses. Therefore, these vector mesons are crucial in the Skyrme model approach to nuclei. We also found that the warping factor, an essential element in the holographic model of QCD, affects the properties of the multi-Skyrmion states and cannot be ignored.

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Authors and Affiliations

  1. College of Physics, Jilin University, Changchun, 130012, China

    Jun-Shuai Wang

  2. School of Fundamental Physics and Mathematical Sciences, Hangzhou Institute for Advanced Study, University of Chinese Academy of Sciences (UCAS), Hangzhou, 310024, China

    Jun-Shuai Wang & Yong-Liang Ma

  3. TaiJi Laboratory for Gravitational Wave Universe (Beijing/Hangzhou), UCAS, Beijing, 100049, China

    Yong-Liang Ma

Authors
  1. Jun-Shuai Wang
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  2. Yong-Liang Ma
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Correspondence to Yong-Liang Ma.

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Conflict of interest The authors declare that they have no conflict of interest.

Additional information

Yong-Liang Ma was supported by the National Natural Science Foundation of China (Grant Nos. 11875147, and 12147103). We would like to thank Yu Tian and Hong-Bao Zhang for their valuable discussions.

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Wang, JS., Ma, YL. Vector meson effects on multi-Skyrmion states from the rational map ansatz. Sci. China Phys. Mech. Astron. 66, 112011 (2023). https://doi.org/10.1007/s11433-023-2220-y

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