TY - JOUR
AU - Gryniuk, O.B.
AU - Grinyuk, B.E.
PY - 2023/10/20
Y2 - 2023/12/07
TI - Universal Coordinate Gaussian Basis for Calculations of the Bound States of a Few-Particle System
JF - Ukrainian Journal of Physics
JA - Ukr. J. Phys.
VL - 68
IS - 9
SE - Fields and elementary particles
DO - 10.15407/ujpe68.9.587
UR - https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2023226
SP - 587
AB - <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>
ER -