Continuum Coupling and Single-Nucleon Overlap Integrals

Abstract

The presence of a particle continuum, both of a resonant and non-resonant character, can significantly impact spectroscopic properties of weakly bound nuclei and excited nuclear states close to, and above, the particle emission threshold. In the framework of the continuum shell model in the complex momentum-plane, the so-called Gamow Shell Model, we discuss salient effects of the continuum coupling on the one-neutron overlap integrals and the associated spectroscopic factors in neutron-rich helium and oxygen nuclei. In particular, we demonstrate a characteristic near-threshold energy dependence of the spectroscopic factors for different l-waves. We show also that the realistic radial overlap functions, which are needed for the description of transfer reactions, can be generated by single-particle wave functions of the appropriately chosen complex potential.

9 figures; 23 pages; corrected version; accepted in Nuclear Physics A

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Cited by in corpus (21)

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• Probing Nuclear forces beyond the drip-line using the mirror nuclei ${}^{16}$N and ${}^{16}$F
• Emergence of the N=16 shell gap in 21O
• Asymptotic normalization coefficients and continuum coupling in mirror nuclei
• Toward Scalable Many-Body Calculations for Nuclear Open Quantum Systems using the Gamow Shell Model
• The rigged Hilbert space approach to the Gamow states
• Spectroscopic factors in dripline nuclei
• Numerical treatment of long-range Coulomb potential with Berggren bases
• Complex energy approaches for calculating isobaric analogue states
• The resonance amplitude associated with the Gamow states
• Investigation of spectroscopic factors of deeply-bound nucleons in drip-line nuclei with the Gamow shell model
• Gamow shell model description of the radiative capture reaction ${}^8$Li$(n,\gamma )$${}^9$Li
• Current Status of Nuclear Physics Research
• Probing nuclear forces beyond the nuclear drip line: The cases of ${}^{16}$F and ${}^{15}$F
• The Analytic Continuation of the Lippmann-Schwinger Eigenfunctions, and Antiunitary Symmetries
• Reply to comments on `Structure effects in the ${}^{15}$N($n,\gamma$)${}^{16}$N radiative capture reaction from the Coulomb dissociation of ${}^{16}$N'
• Description of ${}^7$Be and ${}^7$Li within the Gamow Shell Model