4 papers
Baryon Decuplet Masses From the Viewpoint of q-Equidistance
A. M. Gavrilik, I. I. Kachurik, A. V. Tertychnyj
Masses of baryons {3/2}^+ are calculated on the base of representations of dynamical "pseudounitary" q-deformed algebra u(4,1)_q which provides necessary breaking of the 4-flavor s…
Applying the q-algebras U'_q(so_n) to quantum gravity: towards q-deformed analog of SO(n) spin networks
A. M. Gavrilik
Nonstandard q-deformed algebras U'_q(so_n), proposed a decade ago for the needs of representation theory, essentially differ from the standard Drinfeld-Jimbo quantum deformation of…
Can the Cabibbo mixing originate from noncommutative extra dimensions?
A. M. Gavrilik
Treating hadronic flavor symmetries with quantum algebras U_q(su_n) leads to interesting consequences such as: new mass sum rules for hadrons 1^-, (1/2)^+, (3/2)^+ of improved accu…
Quantum Groups in Hadron Phenomenology
A. M. Gavrilik
We show that application of quantum unitary groups, in place of ordinary flavor SU(n_f), to such static aspects of hadron phenomenology as hadron masses and mass formulas is indeed…