Structure of 14N Nucleus within a Five-Cluster Model

Abstract

The spatial structure of 14 N nucleus is studied within a five-particle model (three α-particles plus two nucleons). Using the variational approach with Gaussian bases, the ground-state energy and wave function are calculated for this five-particle system. Two spatial configurations in the ground-state wave function are revealed. The density distributions, pair correlation functions, and the momentum distributions of particles are analyzed and compared with those of the mirror nuclei 14 C and 14 O. K e y w o r d s: cluster structure of 14 N nucleus, charge density distribution, pair correlation functions, momentum distributions.

Universal Coordinate Gaussian Basis for Calculations of the Bound States of a Few-Particle 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.…”

Can Nuclear Matter Consist of α-Particles?

“…Inside the nuclei, one can reveal the α-clusters. A number of light nuclei can be treated as a definite number of interacting α-particles (see [2] and references ibid) or a system of α-particles with additional nucleons [3][4][5][6]. There exist some approaches [7] treating the nuclei (up to the heaviest ones) with even and equal numbers of protons and neutrons as the systems of α-particles.…”