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Analysis of the binding energies of the Λ- particle in hypernuclei with the RHVT approach and the Gauss potential

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Analysis of the binding energies of the Λ- particle in hypernuclei with the RHVT approach and the Gauss potential (EN)
Grypeos, M. E.
Efthimiou, C. A.
Petridou, Th.
Koutroulos, C. G.
info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
2019-11-23
An analysis is carried out mainly of the ground state binding energies of the Λ-particle in hypernuclei with values of the core mass number AC between 15 and 207 (included) using, as far as possible, recent experimental data.Τhe renormalized (non- relativistic) quantum mechanical hypervirial theorem (RHVT) technique is employed in the form of s- power series expansions and a Gauss single particle potential for the motion of a Λ- particle in hypernuclei is used. Not exact analytic solution is known for the Schrödinger eigenvalue problem in this case. Thus, the approximate analytic expressions (AAE) for the energy eigenvalues which are obtained with the RHVT approach and are quite useful as long as the involved dimensionless parameter s is sufficiently small, are compared only with the numerical solution. The potential parameters are determined by a least-squares fit in the framework of the rigid core model for the hypernuclei. A discussion is also made regarding the determination of the renormalization parameter χ. (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. 18 (2010): HNPS2010; 19-24 (EL)
HNPS Advances in Nuclear Physics; Vol. 18 (2010): HNPS2010; 19-24 (EN)
Πνευματική ιδιοκτησία (c) 2019 C. A. Efthimiou, M. E. Grypeos, C. G. Koutroulos, Th. Petridou (EL)
Hellenic Nuclear Physics Society
Annual Symposium of the Hellenic Nuclear Physics Society
Oral contributions



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