Few-body model approach to the lowest bound S-state of non-symmetric exotic few-body systems

2017/05/15 by Md. A. Khan, M. Hasan, Khan, Md. A. +1
Physics and Astronomy · #Advanced Chemical Physics Studies #Atomic and Molecular Clusters (physics.atm-clus) #Atomic and Molecular Physics #FOS: Physical sciences #Nuclear physics research studies

paper · pdf · doi:10.48550/arxiv.1705.05095

openalex publication_date 2017/05/15 · openalex created_date 2017/05/26 · openalex updated_date 2026/07/28

Abstract

Lowest bound S-state energy of Coulomb three-body systems (N^Z+μ^-e^-) having a positively charged nucleus of charge number Z (N^Z+), a negatively charged muon (μ^-) and an electron (e^-), is investigated in the framework of hyperspherical harmonics expansion method. A Yukawa type Coulomb potential with an adjustable screening parameter (λ) is chosen for the 2-body subsystems. In the resulting Schrödinger equation (SE), the three-body relative wave function is expanded in the complete set of hyperspherical harmonics (HH). Thereafter use of orthonormality of HH in the SE, led to a set of coupled differential equations which are solved numerically to get the energy (E) of the systems investigated.

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