City University of New York (CUNY) CUNY Academic Works Publications and Research LaGuardia Community College 2014 Algebraic Formulation of Hadronic Supersymmetry Based on Octonions: New Mass Formulas and Further Applications Sultan Catto CUNY Graduate Center Yasemin Gürcan CUNY Borough of Manhattan Community College Amish Khalfan CUNY La Guardia Community College Levent Kurt CUNY Borough of Manhattan Community College How does access to this work benefit ou?y Let us know! More information about this work at: https://academicworks.cuny.edu/lg_pubs/76 Discover additional works at: https://academicworks.cuny.edu This work is made publicly available by the City University of New York (CUNY). Contact:
[email protected] XXII International Conference on Integrable Systems and Quantum Symmetries (ISQS-22) IOP Publishing Journal of Physics: Conference Series 563 (2014) 012006 doi:10.1088/1742-6596/563/1/012006 ALGEBRAIC FORMULATION OF HADRONIC SUPERSYMMETRY BASED ON OCTONIONS: NEW MASS FORMULAS AND FURTHER APPLICATIONS Sultan Catto1;2;y, Yasemin Gurcan¨ 3, Amish Khalfan4 and Levent Kurt3;y 1Physics Department, The Graduate School, City University of New York, New York, NY 10016-4309 2Theoretical Physics Group, Rockefeller University, 1230 York Avenue, New York, NY 10021-6399 3 Department of Science, Borough of Manhattan CC, The City University of NY, New York, NY 10007 4 Physics Department, LaGuardia CC, The City University of New York, LIC, NY 11101 y Work supported in part by the PSC-CUNY Research Awards, and DOE contracts No. DE-AC-0276 ER 03074 and 03075; and NSF Grant No. DMS-8917754. Abstract. A special treatment based on the highest division algebra, that of octonions and their split algebraic formulation is developed for the description of diquark states made up of two quark pairs.