Journal ArticleDOI
Effective Hamiltonian of the relativistic quark model
TLDR
In this article, an effective Hamiltonian of the relativistic quark model was derived and linear Regge trajectories for mesons were obtained in the limit of zero quark masses.Abstract:
We derive an effective Hamiltonian of the relativistic quark model. In the limit of zero quark masses, we obtain linear Regge trajectories for mesons. Based on the diquark-antiquark symmetry, we show that the Regge trajectories of baryons and mesons are parallel at high angular moments. We discuss the breaking of the hadronic supersymmetry and obtain a mass relation of mesons and baryons.read more
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Posted Content
Analytic solution for grand confluent hypergeometric function
TL;DR: In this paper, a special function with three recursive coefficients has infinite eigenvalues that make B_n's term terminated at specific value of index n because of three term recurrence formula.
Posted Content
Approximative solution of the spin free Hamiltonian involving only scalar potential for the quark-antiquark system
TL;DR: In this paper, a new kind of special function theory in mathematics that generalizes all existing theories of Confluent Hypergeometric types was proposed. And the new theory produces previously unknown extra hidden radial quantum numbers relevant for description of supersymmetry and new mass formulas.
Book ChapterDOI
Colored Supersymmetry of Mesons and Baryons Based on Octonionic Algebras
TL;DR: In this paper, algebraic realizations of supersymmetry through SU(m/n) type superalgebras are developed, and their applications to a bilocal quark antiquark or a quark-diquark system are shown.
Journal ArticleDOI
Grassmann numbers and Clifford-Jordan-Wigner representation of supersymmetry
TL;DR: In this paper, the Grassmann numbers (Grassmann numbers) were introduced and investigated in differential and integral calculus, and their properties were discussed in the context of particle physics.