@article{Gryniuk_Grinyuk_2023, title={Universal Coordinate Gaussian Basis for Calculations of the Bound States of a Few-Particle System}, volume={68}, url={https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2023226}, DOI={10.15407/ujpe68.9.587}, abstractNote={<p>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 <sup>12</sup>C nucleus is considered as a system consisting of three α-particles, and the convergence of the method is briefly discussed.</p>}, number={9}, journal={Ukrainian Journal of Physics}, author={Gryniuk, O.B. and Grinyuk, B.E.}, year={2023}, month={Oct.}, pages={587} }