The quantum skyrmion in representations of general dimension |
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| Institution: | 1. Institute of Theoretical Physics and Astronomy, Vilnius, 2600 Lithuania;2. Department of Physics, University of Helsinki, 00014 Helsinki, Finland;1. Metabolic Disease Research Center, Zhengzhou University Affiliated Zhengzhou Central Hospital, Zhengzhou, 450007, China;2. Research Center for Basic Medicine, Academy of Medical Sciences, Zhengzhou University, Zhengzhou, 450052, China;3. Key laboratory of Zhengzhou Obesity and Metabolic Diseases, Zhengzhou, Zhengzhou, 450007, China;1. College of Education, Health and Human Performance, Fairmont State University, Fairmont, WV, USA;2. College of Applied Human Science, West Virginia University, Morgantown, WV, USA;3. Programa de Pós-graduação em Ciências Aplicadas à Saúde, Universidade Federal de Jataí, Jataí, Brazil;4. College of Liberal Arts, Community Health Fairmont State University, Fairmont, WV, USA;5. Department of Health Promotion and Development, School of Nursing, University of Pittsburgh, Pittsburgh, PA, USA;1. ESIC Business & Marketing School, Barcelona, Spain;2. ESIC Business & Marketing School, ESIC University, Barcelona, Spain;1. Student Research Committee, Gerash University of Medical Sciences, Gerash, Iran;2. Department of Biostatistics, School of Health, Kermanshah University of Medical Sciences, Kermanshah, Iran;3. Department of Operating Room, Nahavand School of Allied Medical Sciences, Hamadan University of Medical Sciences, Hamadan, Iran;4. Cellular and Molecular Research Center, Gerash University of Medical Sciences, Gerash, Iran;5. Department of Biology, Faculty of Science, University Putra Malaysia, Serdang, Selangor, Malaysia |
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| Abstract: | The representations of general dimension are constructed for the SU(2) Skyrme model, treated quantum mechanically ab initio. This quantum Skyrme model has a negative mass term correction that is not present in the classical Hamiltonian. The magnitude of the quantum mechanical mass correction increases with the dimension of the representation of the SU(2) group. In the case of a 5-dimensional representation it is possible to obtain satisfactory predictions for the nucleon mass with the empirical value for the pion decay constant. |
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