The lowest excited states of 14C and 14O nuclei within a five-cluster model

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

“…It is obvious that, in the case of 𝑁 -particle system, expression (16) 𝑒 −𝑄 𝑠,𝑛𝑘 . Now, we have to calculate the matrix element from the kinetic energy of the center of mass of the system:…”

“…One of the most popular is the oscillatortype basis [1][2][3], although the calculation of the matrix elements for basic functions with high quantum numbers is a nontrivial procedure [4,5]. The usage of the Gaussian basis [6,7] in calculations of the main characteristics and the structure of a few-body system has proved its efficiency in a number of studies of three-body [8][9][10], four-body [11][12][13], five-body [14][15][16] and even more complicated systems. Some modifications [17] of this basis were proposed to enhance the efficiency of calculations.…”