Complex Hamiltonian and three α resonances

Y. Avishai

doi:10.1016/0370-2693(73)90714-4

Complex Hamiltonian and three α resonances

Y. Avishai

Department of Physics

Research output: Contribution to journal › Article › peer-review

Abstract

A method of dealing with many particle resonances, first suggested by Lovelace, is here applied to a system of three structureless α particles, interacting via s wave rank one separable potential. The parameters of the interaction were given the values which led Harrington to predict a 12.8 MeV binding energy for the ¹²C ground state. A 1^- resonance was found at E₀- iΛ 2=2.071-0.05i which is comparable with the experimental one at E₀- 1Λ 2=2.225-0.015i. The wave function of the resonance is defined and computed in configuration space.

Original language	English
Pages (from-to)	222-224
Number of pages	3
Journal	Physics Letters B
Volume	47
Issue number	3
DOIs	https://doi.org/10.1016/0370-2693(73)90714-4
State	Published - 12 Nov 1973

ASJC Scopus subject areas

Nuclear and High Energy Physics

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title = "Complex Hamiltonian and three α resonances",

abstract = "A method of dealing with many particle resonances, first suggested by Lovelace, is here applied to a system of three structureless α particles, interacting via s wave rank one separable potential. The parameters of the interaction were given the values which led Harrington to predict a 12.8 MeV binding energy for the 12C ground state. A 1- resonance was found at E0- iΛ 2=2.071-0.05i which is comparable with the experimental one at E0- 1Λ 2=2.225-0.015i. The wave function of the resonance is defined and computed in configuration space.",

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AB - A method of dealing with many particle resonances, first suggested by Lovelace, is here applied to a system of three structureless α particles, interacting via s wave rank one separable potential. The parameters of the interaction were given the values which led Harrington to predict a 12.8 MeV binding energy for the 12C ground state. A 1- resonance was found at E0- iΛ 2=2.071-0.05i which is comparable with the experimental one at E0- 1Λ 2=2.225-0.015i. The wave function of the resonance is defined and computed in configuration space.

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Complex Hamiltonian and three α resonances

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