Электронный каталог

Статья

Rakityansky, S.A.
Wave Function of *9Be in the Three-Body (*a*an) Model / S.A.Rakityansky // Physical Review C [Electronic resource]. – 2024. – Vol. 110, No. 2. – P. 024001. – URL: https://doi.org/10.1103/PhysRevC.110.024001. – Bibliogr.: 31.

A simple analytic expression of the three-body wave function describing the system (𝛼⁢𝛼⁢𝑛) in the ground state 3/2*- of *9Be is obtained. In doing this, it is assumed that the 𝛼 particles interact with each other via the 𝑆-wave Ali-Bodmer potential including the Coulomb term, and the neutron-𝛼 forces act only in the 𝑃-wave state. This wave function is constructed by trial and error method via solving in this way a kind of inverse problem when the two-body 𝛼⁢𝛼 potential is recovered from a postulated three-body wave function. As a result, the wave function is an exact solution of the corresponding three-body Schrödinger equation for experimentally known binding energy and for the 𝛼⁢𝛼 potential whose difference from the Ali-Bodmer one is minimized by varying the adjustable parameters on which the postulated wave function depends.



ОИЯИ = ОИЯИ (JINR)2024
Спец.(статьи,препринты) = С 341 а - Различные модели ядер$
Бюллетени = 41/024