Theory of Nuclei, Elementary Particles and Fields

Our activity in hadron physics is based on quark modelling. For comparison of different quark model predictions with future experiments (baryon excitatons, formation of two-baryon and two-meson systems) we are developing original methods such as the generator coordinate method and the method of angular and linear momentum projection, as well as original approaches to effective interactions between quarks. We are also developing a nonlocal cutoff in the Nambu -- Jona-Lasinio interaction suggested by instanton solutions of QCD in order to resolve the stability problem. Our study of weak decays offers many opportunities. The decay of the c quark into u quark plus photon is forbidden in the lowest order Standard Model, therefore it is suitable for searching signals of new physics. We are studying several decays of mesons where such c quark decay would be experimentally observable. We intend to analyse factorizable and nonfactorizable contributions in D and B meson decays into two or three light mesons. We shall study the possibility of measuring CP violation parameters in B meson decays. We shall study field theory at high temperature and density. We shall treat standard and supersymmetric models for interaction between particles at energies exceeding the electroweak scale. In the topic of gauge field theories we intend to explore their infrared sector, in partiular the significance of fermion masses for factorizability of physical quantities. We are interested in the infrared sector since it is relevant for understanding the confinement. We have proposed a unified theory with both commuting and noncommuting (Grassmann) coordinates. In this theory, all intrinsic degrees of freedom -- spins and charges -- appear in a unified way. We intend to unify fermion and boson fields (including gravitation) using such unified description of spins and charges. We shall seek answers to questions beyond the Standard Model: why is parity a broken symmetry and what is the origin of fermion families and their masses. A theory of induced gravitation will be treated assuming that space-time is a relativistic unbound membrane. Classical and quantum equations of the membrane will be written in an elegant form which is a generalization of the equations of a point particle in curved space.We intend to develop the second quantization of the theory and include also the fermions. We shall continue to develop and apply an original correlated hyperspherical method and its computer implementation for an accurate calculation of singular properties of systems with three and more particles. We shall explore the quadrupole moment of the muonic helium. New few-body methods will be studied, based on the Bellman-Kalaba quasilinearization method, as well as new examples of analytical slutions. One application will be the problems of the three-quark structure of hadrons.