| Autor: |
Vinitsky, S. I., Larsen, S. Y., Pavlov, D. V., Proskurin, D. V. |
| Předmět: |
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| Zdroj: |
Physics of Atomic Nuclei; Jan2001, Vol. 64 Issue 1, p27, 11p |
| Abstrakt: |
The effective adiabatic approximation is constructed for the problem of three bodies on a straight line that are coupled via short-range attractive delta-function potentials. It is shown that, in this system, there arise a nonlocal momentum-dependent long-range effective potential and a polarization potential. A lower bound on the binding energy of the system is obtained to a relative precision of about 10[sup -6]. It is shown that, to within 0.03%, this approximation yields a correct asymptotic behavior of solutions and a correct behavior of the phase shift for elastic scattering at relative momenta below the three-body-breakup threshold. A local convergence of the adiabatic expansion in a finite interval of the radial variable is demonstrated. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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