caa a22 4500 469065095 CHVBK 20180323132906.0 cr unu---uuuuu 170328e19920101xx s 000 0 eng 10.1007/BF02726887 doi (NATIONALLICENCE)springer-10.1007/BF02726887 Born-Oppenheimer and hyperspherical adiabatic approximations in the nuclear- and molecular-mass limits [Elektronische Daten] [Sadhan Adhikari, V. Brito, H. Coelho, T. Das] Summary: Ground-state energies of a three-particle system composed of a distinct and two equal-mass particles interacting via localS-wave potentials is studied using Born-Oppenheimer and hyperspherical adiabatic approximations in the nuclear-and molecular-mass limits. The nuclear situation is simulated when the ratiom of equal to distinct particle masses is of the order of unity. The molecular situation is simulated form≫1, when the potential among the equal-mass particles is switched off. The ratiom was varied between the limitsm∼1 andm≫1 and the depths and ranges of the potentials were varied to simulate intermediate situations. In all cases the extreme and the uncoupled hyperspherical adiabatic approximations, which are the lower and upper bounds for the exact ground-state energy, is found to define a very narrow band with the Born-Oppenheimer approximation lying very close to it. Thus the two types of approximations are always found to work surprisingly well. Società Italiana di Fisica, 1992 Function theory nationallicence analysis nationallicence Adhikari Sadhan Departamento de Física, Universidade Federal de Pernambuco, 50739, Recife, Pernambuco, Brasil aut Brito V. Departamento de Física, Universidade Federal de Pernambuco, 50739, Recife, Pernambuco, Brasil aut Coelho H. Departamento de Física, Universidade Federal de Pernambuco, 50739, Recife, Pernambuco, Brasil aut Das T. Departamento de Física, Universidade Federal de Pernambuco, 50739, Recife, Pernambuco, Brasil aut Il Nuovo Cimento B (1971-1996) Società Italiana di Fisica 107/1(1992-01-01), 77-89 107:1<77 1992 107 40764 https://doi.org/10.1007/BF02726887 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02726887 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Adhikari Sadhan Departamento de Física, Universidade Federal de Pernambuco, 50739, Recife, Pernambuco, Brasil aut NATIONALLICENCE 700 1- Brito V. Departamento de Física, Universidade Federal de Pernambuco, 50739, Recife, Pernambuco, Brasil aut NATIONALLICENCE 700 1- Coelho H. Departamento de Física, Universidade Federal de Pernambuco, 50739, Recife, Pernambuco, Brasil aut NATIONALLICENCE 700 1- Das T. Departamento de Física, Universidade Federal de Pernambuco, 50739, Recife, Pernambuco, Brasil aut NATIONALLICENCE 773 0- Il Nuovo Cimento B (1971-1996) Società Italiana di Fisica 107/1(1992-01-01), 77-89 107:1<77 1992 107 40764 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer