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Binding energy of the dihyperon in the quark cluster model
Institution:1. Università Vita-Salute San Raffaele, IRCCS San Raffaele Scientific Institute, Milan, Italy;2. Unit of Immunology, Rheumatology, Allergy and Rare Diseases (UnIRAR), IRCCS San Raffaele Scientific Institute, via Olgettina 60, 20132 Milan, Italy;3. Pancreato-Biliary Endoscopy and Endosonography Division, IRCCS San Raffaele Scientific Institute, Milan, Italy;4. Division of Pancreatic Surgery, Pancreas Translational and Clinical Research Center, IRCCS San Raffaele Scientific Institute, Milan, Italy;1. Laboratorio di Patologia Clinica, Ospedale San Antonio, Tolmezzo, Italy;2. Immunopatologia e Allergologia, Azienda Ospedaliero-Universitaria S. Maria della Misericordia, Udine, Italy;3. Laboratorio di Patologia Clinica, Policlinico Universitario, Bari, Italy;4. Laboratorio di Immunologia e Allergologia, Ospedale S. Giovanni di Dio, Firenze, Italy;5. Dipartimento di Medicina Clinica e Scienze Immunologiche, Sezione di Reumatologia, Policlinico Universitario Le Scotte, Siena, Italy;6. Istituto di Patologia Clinica, Azienda Ospedaliero-Universitaria S. Maria della Misericordia, Udine, Italy;7. Allergologia e Immunologia Clinica, Azienda Ospedaliera S. Maria degli Angeli, Pordenone, Italy;1. Institute of Materials Technology, Pusan National University, Busandaehak-ro 63 beon-gil, Geumjeong-gu, Busan 46241, Republic of Korea;2. R&D Group, Sungwoo Hitech Co., Ltd., 2-9 Nonggong-ro, Jeonggwan-myeon, Gijang-gun, Busan 46241, Republic of Korea;3. Welding & Joining Research Group, POSCO, Global R&D Center 100, Songdogwahak-ro, Yeonsu-gu, Incheon 21985, Republic of Korea;4. Department of Material Science and Engineering, Pusan National University, 63 Busandaehak-ro, Geumjeong-gu, Busan 46241, Republic of Korea;1. Dpto. Dirección y Organización de Empresas, Facultad de Economía y Empresa, Universidad de Zaragoza, Gran Vía, 2, Zaragoza, Spain;2. Área de Economía y Dirección de Empresas, Centro Universitario de la Defensa, Academia General Militar, Carretera de Huesca, s/n, Zaragoza, Spain
Abstract:The dihyperon is described in the non-relativistic quark cluster model. The SU(3) flavor symmetry breaking due to the different quark masses is taken into account not only in the hamiltonian, but also in the quark wave functions. The interaction contains the one-gluon-exchange potential, pseudoscalar-meson exchange between quarks plus an additional phenomenological σ-meson exchange. The mass of the dihyperon is predicted to be (2211 ± 5) MeV, i.e. a binding energy of the dihyperon of (−20 ± 5) MeV below the ΛΛ threshold is found.
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