Asymptotic normalization coefficients and continuum coupling in mirror nuclei

Abstract

Background: An asymptotic normalization coefficient (ANC) characterizes the asymptotic form of a one-nucleon overlap integral required for description of nucleon-removal reactions. Purpose: We investigate the impact of the particle continuum on proton and neutron ANCs for mirror systems from $p$- and $sd$-shell regions. Method: We use the real-energy and complex-energy continuum shell model approaches. Results: We studied the general structure of the single-particle ANCs as a function of the binding energy and orbital angular momentum. We computed ANCs in mirror nuclei for different physical situations, including capture reactions to weakly-bound and unbound states. Conclusions: We demonstrated that the single-particle ANCs exhibit generic behavior that is different for charged and neutral particles. We verified the previously proposed relation [N.K. Timofeyuk, R.C. Johnson, and A.M. Mukhamedzhanov, Phys. Rev. Lett. 91, 232501 (2003); Phys. Rev. Lett. 97, 069904(E) (2006); N. K. Timofeyuk and P. Descouvemont, Phys. Rev. C 72, 064324 (2005)] between proton and neutron mirror ANCs. We find minor modifications if the spectroscopic strength is either localized in a single state or broadly distributed. For cases when several states couple strongly to the decay channel, these modifications may reach 30%.

18 pages, 17 figures, 9 tables

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• Shell Model in the Complex Energy Plane
• Quantum Monte Carlo calculations of spectroscopic overlaps in $A\le 7$ nuclei
• Density matrix renormalization group approach for many-body open quantum systems
• Asymptotic normalization coefficients from ab initio calculations
• Threshold Effects in Multi-channel Coupling and Spectroscopic Factors in Exotic Nuclei
• Isospin mixing and the continuum coupling in weakly bound nuclei
• Microscopic theory of the two-proton radioactivity
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• Unitary correlation in nuclear reaction theory
• Density matrix renormalization group approach to two-fluid open many-fermion systems
• Continuum Coupling and Single-Nucleon Overlap Integrals
• Precise Coulomb wave functions for a wide range of complex l, eta and z
• Structure of 23Al from one-proton breakup reaction and astrophysical implications
• Numerical treatment of long-range Coulomb potential with Berggren bases
• Asymptotic normalization of mirror states and the effect of couplings
• New method for extracting quasi-bound states from the continuum

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• Search for excited states in ${}^{25}$O
• Investigation of spectroscopic factors of deeply-bound nucleons in drip-line nuclei with the Gamow shell model
• One-neutron halo structure of ${}^{29}$Ne
• Extrapolation of scattering data to the negative-energy region. Application to the $p{-}^{16}$O system
• Spectroscopic factors of resonance states with the Gamow shell model
• Spectroscopic factors, overlaps, and isospin symmetry from an $R$-matrix point of view
• Consistent analysis of one-nucleon spectroscopic factors involving weakly- and strongly-bound nucleons
• Asymptotic normalization coefficient method for two-proton radiative capture