Extended skyrmion model from quark flavour dynamics |
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| Institution: | 1. College of Optical, Mechanical and Electrical Engineering, Zhejiang A&F University, Lin''an 311300, China;2. Department of Applied Mathematics, National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), 31 Kashirskoe Shosse, 115409 Moscow, Russian Federation;1. Nevşehir HacıBektaş Veli University, Department of Mathematics, Nevşehir, Turkey;2. Department of Mathematics, Lafayette College, Easton, Pennsylvania, USA;3. Department of Mathematics, University of Cape Coast, Cape Coast, Ghana;4. Department of Mathematics and Engineering Physics, Faculty of Engineering, Mansoura University, Egypt;5. Université Française dÉgypte, Ismailia Desert Road, El Shorouk, Cairo, Egypt |
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| Abstract: | From the effective chiral meson lagrangian derived recently from Nambu-Jona-Lasinio type of quark flavour dynamics, an extended skyrmion model is extracted. This model contains besides the usual Skyrme term further fourth-order derivative terms of the chiral field and in addition the ω meson field. It is shown that the net effect of all fourth-order derivative terms is to destabilize the soliton and to provide the desired medium-range attraction of the nucleon-nucleon interaction, which is responsible for nuclear binding but missing in the original Skyrme model. The soliton is stabilized by the coupling to the ω meson which produces a short-range repulsion. The corresponding equation of state of skyrmion matter is constructed and found to be in qualitative agreement with the equation of state of nuclear matter obtained from effective density-dependent forces. |
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