Algebraic formulation of hadronic supersymmetry based on octonions: new mass formulas and further applications

22nd International Conference on Integrable Systems and Quantum Symmetries

Catto, Sultan^1,2 ; Gürcan, Yasemin^3 ; Khalfan, Amish^4 ; Kurt, Levent^3

Physics Department, Graduate School, City University of New York, New York

NY

10016-4309, United States^1

Theoretical Physics Group, Rockefeller University, 1230 York Avenue, New York

NY

10021-6399, United States^2

Department of Science, Borough of Manhattan CC, City University of NY, New York

NY

10007, United States^3

Physics Department, LaGuardia CC, City University of New York, LIC, NY

11101, United States^4

关键词: Division algebras;    Multiquark;    Octonions;    Pentaquark state;    Special treatments;    Symmetry properties;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/563/1/012006/pdf
DOI  :  10.1088/1742-6596/563/1/012006

来源: IOP

【 摘 要 】

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. We describe symmetry properties of mesons and baryons through such formulation and derive mass formulae relating π, ρ, N and Δ trajectories showing an incredible agreement with experiments. We also comment on formation of diquark-antidiquark as well as pentaquark states and point the way toward applications into multiquark formulations expected to be seen at upcoming CERN experiments. A discussion on relationship of our work to flux bag models, string pictures and to string-like configurations in hadrons based on spectrum generating algebras will be given.