Contribution to a book

The Nuclotron-based Ion Collider fAcility (NICA) is under construction at JINR. The NICA goals are providing of colliding beams for studies of hot and dense strongly interacting baryonic matter and spin physics. [...]

We consider the coupling of dynamical and semi-dynamical (spin) multiplets described by superfields living on the generalized SU(2|1), d=1 chiral superspace. The interaction term of both multiplets is constructed as a superpotential term, where the dynamical multiplet is defined as a chiral multiplet $\textbf{(2,4,2)}$, while the semi-dynamical multiplet is associated with a mirror multiplet $\textbf{(4,4,0)}$..

We present a very simple form of the supercharges and the Hamiltonian of ${\cal N}{=}\,2$ supersymmetric extension of $n$-particle Ruijsenaars--Schneider models for three cases of the interaction: $1/(x_i-x_j)$, $1/tan(x_i-x_j)$, $1/tanh(x_i-x_j)$. The long ``fermionic tails'' of the supercharges and Hamiltonian rolled up in the simple rational functions depending on fermionic bilinears..

The Mu2e experiment at Fermi National Accelerator Laboratory will search for the CLFV neutrino-less conversion of a negative muon into an electron in the field of an aluminum nucleus. The Mu2e design has been studied to improve the single event sensitivity of four orders of magnitude with respect to the previous experiments and provide an indirect probe for New Physics energy scales up to thousands TeV. [...]

We provide a superspace description of $\cal N{=}\,2$ supersymmetric Calogero models associated with the classical $A_n, B_n, C_n$ and $D_n$ Lie algebras and their hyperbolic/trigonometric versions. These models are described by $n$ bosonic and $2n(n{-}1)$ fermionic $\cal N{=}\,2$ superfields, the latter being subject to a nonlinear chirality constraint.This constraint has a universal form valid for all Calogero models and guarantees an existence of more general supercharges (and a superspace Lagrangian), which provide the $\cal N{=}\,2$ supersymmetrization for bosonic potentials with arbitrary repulsive pairwise interactions..