Abstract
Models of the pointed interactions approximately describing real interactions of nuclear particles in quantum mechanics are considered. The concept of “a dot cluster”—a complex of charges which at the zero size create possibility of localization of a trial particle in the field of the final size is entered. States in one-dimensional systems, and also in three-dimensional systems with “a local isotropy” are studied. The conditions of dot systems characterized by the nonzero, including fractional, orbital moment were studied.
Highlights
For the model description of nuclear processes extensive literature—see, for example, [1] [2] is devoted to use of dot potentials. This circumstance is promoted by visible simplicity of the description with the help δ-potentials, connected with possibility of the analytical solution of complex challenges
It is possible to assume that at really small size of a positive charge, the defining role in behavior of system is played by one connected level, and a way of creation δ-potential it is not essential
Works [3] [4] are devoted to detailed theoretical studying of properties of dot potentials
Summary
For the model description of nuclear processes extensive literature—see, for example, [1] [2] is devoted to use of dot potentials. This circumstance is promoted by visible simplicity of the description with the help δ-potentials, connected with possibility of the analytical solution of complex challenges. The way of creation of the system characterized by the zero radius of interaction usually isn’t studied. Works [3] [4] are devoted to detailed theoretical studying of properties of dot potentials. It is necessary to mention the works considering exact solutions of non-stationary tasks on the dispersing δ-potentials [5]-[7], the illustrating possibilities of the considered model method.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
