Coupled adiabatic approximation in the three-body problem

J. L. Ballot, M. Fabre de la Ripelle, and J. S. Levinger
Phys. Rev. C 26, 2301 – Published 1 November 1982
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Abstract

In the framework of the hyperspherical formalism, we present a study of the coupled adiabatic approximation for the case of three nucleons interacting via central spindependent two-body potentials. We analyze the convergence of the ground state eigenvalues versus the grand orbital quantum number (2K) and compare the results to that of the coupled equations. We also compare with two simpler but less accurate approximations: the uncoupled adiabatic approximation and the extreme adiabatic approximation. The former provides an upper and the latter provides a lower bound to the ground state energy.

NUCLEAR STRUCTURE Few body bound states, reduction of hyperspherical equations applied to triton, quantum few-body problem.

  • Received 10 February 1982

DOI:https://doi.org/10.1103/PhysRevC.26.2301

©1982 American Physical Society

Authors & Affiliations

J. L. Ballot and M. Fabre de la Ripelle

  • Division de Physique Théorique, Institut de Physique Nucléaire, F-91406 Orsay Cedex, France

J. S. Levinger

  • Department of Physics, Rensselaer Polytechnic Institute, Troy, New York 12181

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Issue

Vol. 26, Iss. 5 — November 1982

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