The generator coordinate spin and isospin projection in the chiral bag plus skyrmion hybrid model |
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| Institution: | 1. Centre for High Energy Physics, Indian Institute of Science, Bangalore-560012, Karnataka, India;2. Université Paris-Saclay, CNRS/IN2P3, IJCLab, 91405 Orsay, France;3. Univ Lyon, Univ Claude Bernard Lyon 1, CNRS/IN2P3, IP2I Lyon, UMR 5822, F-69622, Villeurbanne, France;1. Department of Physics and Astronomy, University of Sussex, Brighton, BN1 9QH, United Kingdom;2. Department of Physics and Astronomy, Michigan State University, United States of America;1. Department of Electronic Information Engineering, Hefei Normal University, Hefei, Anhui 230601, China;2. Anhui Province Key Laboratory of Simulation and Design for Electronic Information System, Hefei, Anhui 230601, China;1. Department of Mathematics, University of West Bohemia, P.O. Box 314, 306 14 Pilsen, Czech Republic;2. Centre of Excellence ITI — Institute for Theoretical Computer Science, Charles University, P.O. Box 314, 306 14 Pilsen, Czech Republic;3. European Centre of Excellence NTIS — New Technologies for the Information Society, P.O. Box 314, 306 14 Pilsen, Czech Republic;4. Koshigaya Health Clinic, Yajyuro 675-1, Koshigaya, Saitama 343-0047, Japan;5. Department of Mathematics, College of Science and Technology, Nihon University, Tokyo 101-8308, Japan;1. Department of Physics, Faculty of Natural Sciences, Ariel University, Ariel, Israel;2. Institute for personalized and translational medicine, Ariel university, Ariel, Israel;1. MIPT, Dolgoprudny, 141701, Russia;2. IITP, Moscow 127994, Russia;3. ITEP (KCTEP), Moscow 117218, Russia;4. ITMP, Moscow 119991, Russia;5. SISSA, Trieste, Italy;6. INFN, Sezione di Trieste, Italy;7. IGAP, Trieste, Italy |
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| Abstract: | We study the baryon properties in the chiral bag plus skyrmion hybrid model. To describe the physical baryon state, we apply the generator coordinate projection method (GCM) instead of the widely used semiclassical collective coordinate method (CCM). The intrinsic state for the skyrmion is constructed as the coherent state and the valence quarks are treated explicitly. The nucleon and delta masses and the axial coupling constant gA are investigated. Tha masses are significantly reduced from the large hedgehog mass due to the quantum effects in the GCM and a small gA in the CCM is enhanced as a result of finite Nc. Agreement with experimental data of these quantities is much improved compared to the semiclassical CCM. |
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