We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Application of hyperspherical harmonics expansion method to the low-lying bound S-states of exotic two-muon three-body systems.
- Authors
Khan, Md. Abdul
- Abstract
In this paper, energies of the low-lying bound S-states (L = 0) of exotic three-body systems, consisting a nuclear core of charge +Ze (Z being atomic number of the core) and two negatively charged valence muons, have been calculated by hyperspherical harmonics expansion method (HHEM). The three-body Schrödinger equation is solved assuming purely Coulomb interaction among the binary pairs of the three-body systems Z+μ-μ- for Z = 1 to 54. Convergence pattern of the energies have been checked with respect to the increasing number of partial waves Λmax. For available computer facilities, calculations are feasible up to Λmax = 28 partial waves, however, calculation for still higher partial waves have been achieved through an appropriate extrapolation scheme. The dependence of bound state energies has been checked against increasing nuclear charge Z and finally, the calculated energies have been compared with the ones of the literature.
- Subjects
HYPERSPHERICAL method; ELECTRICAL harmonics; MATHEMATICAL bounds; MUONS; THREE-body problem
- Publication
International Journal of Modern Physics E: Nuclear Physics, 2014, Vol 23, Issue 10, p-1
- ISSN
0218-3013
- Publication type
Article
- DOI
10.1142/S0218301314500554