Complex harmonic-oscillator basis for the relativistic three-body problem

Mitra, A. N. ; Sharma, A. ; Mitra-Sodermark, B. (1995) Complex harmonic-oscillator basis for the relativistic three-body problem Few-Body Systems, 19 (3). pp. 145-156. ISSN 0177-7963

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A complex harmonic-oscillator basis is employed for the three-body problem obeying S3-symmetry. Unlike a real basis it generates an additional quantum number (Na), in addition to the standard principal quantum number (N), and thus facilitates a more quantitative S3-classification of the various states than is usually possible. It is shown that certain bilinear forms with definite S3-symmetry properties, which can be constructed out of the linear harmonic-oscillator operators (a, a) satisfy several uncoupled sets of SO(2, 1) algebras with spectra bounded from below. It is also briefly indicated how this S3-formalism can be adapted to the core structure of a more general relativistic three-particle system with unequal-mass kinematics through an appropriate choice of internal variables.

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ID Code:90184
Deposited On:07 May 2012 13:12
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