We show that coupling the SU(2)-valued Skyrme field to the ρ-meson solves the long-standing issue of (in)compressibility in the solitonic Skyrme model. Even by including only one ρπ interaction term, motivated by a holographic-like reduction of Yang-Mills action by Sutcliffe, reduces the compression modulus from K₀ 1080 MeV, in the massive Skyrme model, to K₀ 351 MeV.
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Huidobro et al. (2024) studied this question.
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