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A renormalized HVT approach for a class of central potential wells

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A renormalized HVT approach for a class of central potential wells (EN)
Efthimiou, C. A.
Oyewumi, W. J.
Petridou, Th.
grypeos, M. E.
Koutroulos, C, G.
info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
2020-01-01
An investigation is carried out to consider a renormalized HVT approach in the context of s-power series expansions for the energy eigenvalues of a particle moving non-relativistically in a central potential well belonging to the class V(r)=−Df(rR), D>0 where f is an appropriate even function of x=r/R and the dimensionless quantity s = (h^2/2μDR)^{1/2} is assumed to be sufficiently small. Previously, the more general class of central potentials of even power series in r is considered and the renormalized recurrence relations from which the expansions of the energy eigenvalues follow, are derived. The s-power series of the renormalized expansion are then given for the initial class of potentials up to third order in s (included) for each energy-level Enl . It is shown that the renormalization parameter Κ enters the coefficients of the renormalized expansion through the state-dependent quantity a_{nl}χ^{1/2} =a_{nl}(1+K ((−d_1D)R^2))^{½}, a_{nl}=(2n+l+32). The question of determining χ is discussed. Our first numerical results are also given and the utility of potentials of the class considered (to which belong the well-known Gaussian and reduced Poschl- Teller potentials) in the study of single–particle states of a Λ in hypernuclei is pointed out. (EN)
Annual Symposium of the Hellenic Nuclear Physics Society
English
Hellenic Nuclear Physics Society (HNPS) (EN)
2654-0088
2654-007X
Annual Symposium of the Hellenic Nuclear Physics Society; Τόμ. 16 (2008): HNPS2008; 107-113 (EL)
HNPS Advances in Nuclear Physics; Vol. 16 (2008): HNPS2008; 107-113 (EN)
Πνευματική ιδιοκτησία (c) 2019 C. A. Efthimiou, M. E. grypeos, C, G. Koutroulos, W. J. Oyewumi, Th. Petridou (EL)
Hellenic Nuclear Physics Society
Annual Symposium of the Hellenic Nuclear Physics Society
Oral contributions



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