Universal Coordinate Gaussian Basis for Calculations of the Bound States of a Few-Particle System


  • O.B. Gryniuk Trento Institute for Fundamental Physics and Applications, Trento, Italy
  • B.E. Grinyuk Bogolyubov Institute for Theoretical Physics, Nat. Acad. of Sci. of Ukraine




a few-body system, variational method, variational basis


A new simple basis is proposed for variational calculations of the bound states of a few-particle system. For an N-particle system with pairwise interactions, the matrix elements of the Hamiltonian are found in an explicit form. A modified version of the basis invariant with respect to spatial translations is considered as well. As an example, the 12C nucleus is considered as a system consisting of three α-particles, and the convergence of the method is briefly discussed.


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How to Cite

Gryniuk, O., & Grinyuk, B. (2023). Universal Coordinate Gaussian Basis for Calculations of the Bound States of a Few-Particle System. Ukrainian Journal of Physics, 68(9), 587. https://doi.org/10.15407/ujpe68.9.587



Fields and elementary particles