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Axial symmetry of bound baryon number-two solution of the Skyrme model
Institution:1. University College London, United Kingdom;2. Cockcroft Institute of Accelerator Science and Technology, United Kingdom;3. University of Manchester, United Kingdom;4. Paul Scherrer Institute, Switzerland;5. University of Liverpool, United Kingdom;1. Guangdong Provincial Key Laboratory of Durability for Marine Civil Engineering, Shenzhen University, Shenzhen, 518060, China;2. School of Engineering, RMIT University, 376-392 Swanston St, Melbourne, Victoria, 3001, Australia;1. Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China;2. School of Nuclear Science and Technology, University of Chinese Academy of Sciences, Beijing 100049, China;1. School of Civil Engineering, Chongqing University, Chongqing 400045, China;2. Chongqing Zhongkedaye Building Technology Co., Ltd, Chongqing 400045, China;3. Department of Civil Engineering, The Pennsylvania State University, Middletown, PA 17057, USA;1. Accelerator Laboratory, Department of Engineering Physics, Tsinghua University, Beijing 100084, China;2. Key Laboratory of Particle & Radiation Imaging (Tsinghua University), Ministry of Education, Beijing 100084, China;3. Lawrence Berkeley National Laboratory, One Cyclotron Road, Berkeley, CA 94720, USA
Abstract:In a Skyrme model for strong interactions we have obtained numerically the baryon number-two field configuration of minimum energy. We find that this static solution of the equations of motion has an axial symmetry. Its binding energy is 70 MeV with respect to the sum of the energy of two skyrmions with baryon number one. The baryon density of this solution has the shape of a donut (i.e., homotopic to a torus).
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