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It has been suggested recently (Phys. Rev. Lett. 91, 232501 (2003)) that charge symmetry of nucleon-nucleon interactions relates the Asymptotic Normalization Coefficients (ANCs) of proton and neutron virtual decays of mirror nuclei. This…

Nuclear Theory · Physics 2011-08-11 N. K. Timofeyuk , P. Descouvemont

We show how the charge symmetry of strong interactions can be used to relate the proton and neutron asymptotic normalization coefficients (ANCs) of the one nucleon overlap integrals for light mirror nuclei. This relation extends to the case…

Nuclear Theory · Physics 2009-11-10 N. K. Timofeyuk , R. C. Johnson , A. M. Mukhamedzhanov

Asymptotic normalization coefficients (ANCs) are fundamental nuclear constants playing important role in nuclear reactions, nuclear structure and nuclear astrophysics. In this paper the physical reasons of the Coulomb renormalization of the…

Nuclear Theory · Physics 2015-06-11 A. M. Mukhamedzhanov

Asymptotic normalization coefficients (ANCs) are fundamental nuclear constants playing important role in nuclear reactions, nuclear structure and nuclear astrophysics. In this paper a connection between ANCs and resonance widths of the…

Nuclear Theory · Physics 2019-02-27 Akram Mukhamedzhanov

It has been suggested recently ({\it Phys. Rev. Lett.} 91, 232501 (2003)) that the widths of narrow proton resonances are related to neutron Asymptotic Normalization Coefficients (ANCs) of their bound mirror analogs because of charge…

Nuclear Theory · Physics 2016-09-08 N. K. Timofeyuk , P. Descouvemont

Assuming that the ratio between asymptotic normalization coefficients of mirror states is model independent, charge symmetry can be used to indirectly extract astrophysically relevant proton capture reactions on proton-rich nuclei based on…

Nuclear Theory · Physics 2015-05-30 L. J. Titus , P. Capel , F. M. Nunes

We show that a consequence of isospin symmetry, recently discovered in mirror conjugated one-nucleon decays, can be extended to mirror-conjugated $\alpha$-particles decays, both virtual and real. For virtual $\alpha$-decays of bound mirror…

Nuclear Theory · Physics 2007-05-23 N. K. Timofyeuk , P. Descouvemont , R. C. Johnson

Asymptotic normalization coefficients (ANC) determine the overall normalization of cross sections of peripheral radiative capture reactions. In a recent paper [Blokhintsev et al., Eur. Phys. J. A 58, 257 (2022)], we considered the ANC $C_0$…

Nuclear Theory · Physics 2023-04-11 L. D. Blokhintsev , A. S. Kadyrov , A. M. Mukhamedzhanov , D. A. Savin

Asymptotic normalization coefficients (ANCs) are fundamental nuclear constants playing an important role in nuclear physics and astrophysics. We derive a new useful relationship between ANC of the Gamow radial wave function and the…

Nuclear Theory · Physics 2015-02-20 B. F. Irgaziev , Yu. V. Orlov

The asymptotic normalisation coefficients (ANC) for the vertex $^{10}$B $\to$ $^9$Be + p is deduced from a set of different proton transfer reactions at different energies. This set should ensure the peripheral character of the reaction and…

Nuclear Theory · Physics 2009-11-06 J. C. Fernandes , R. Crespo , F. M. Nunes

Asymptotic normalization coefficients (ANC) determine the overall normalization of cross sections of peripheral radiative capture reactions. In the present paper, we treat the ANC $C$ for the virtual decay $^{16}$O$(0^+; 6.05$ MeV)$\to…

Nuclear Theory · Physics 2023-01-18 L. D. Blokhintsev , A. S. Kadyrov , A. M. Mukhamedzhanov , D. A. Savin

Asymptotic normalization coefficients (ANCs) for 8Li->7Li+n have been extracted from the neutron transfer reaction 13C(7Li,8Li)12C at 63 MeV. These are related to the ANCs in 8B->7Be+p using charge symmetry. We extract ANCs for 8B that are…

We examine the relationship between the Asymptotic Normalization Coefficient (ANC) of $^6$Li and other low-energy observables in the $\alpha$-deuteron system. Our analysis uses a set of calculations carried out within the {\it ab initio} No…

Nuclear Theory · Physics 2025-10-23 Chloë Hebborn , Carl R. Brune , Daniel R. Phillips

Explicit relations between the effective-range expansion and the nuclear vertex constant or asymptotic normalization coefficient (ANC) for the virtual decay $B\to A+a$ are derived for an arbitrary orbital momentum together with the…

Nuclear Theory · Physics 2015-05-27 R. Yarmukhamedov , D. Baye

We present calculations of asymptotic normalization coefficients (ANCs) for one-nucleon removals from nuclear states of mass numbers 3 to 9. Our ANCs were computed from variational Monte Carlo solutions to the many-body Schroedinger…

Nuclear Theory · Physics 2011-05-05 Kenneth M. Nollett , R. B. Wiringa

We calculate single-neutron spectroscopic overlaps for lithium isotopes in the framework of the \textit{ab initio} symmetry-adapted no-core shell model. We report the associated neutron-nucleus asymptotic normalization coefficients (ANCs)…

Effective proton-neutron interactions, $V_{pn}$, in mirror nuclei are systematically analyzed using the ground-state atomic masses. A mirror symmetry of $V_{pn}$ is found for bound nuclei with a standard deviation of $\sigma=32$ keV.…

Nuclear Theory · Physics 2025-03-04 Y. M. Xing , Y. F. Luo , K. H. Li , Y. H. Zhang , J. G. Li , M. Wang , Yu. A. Litvinov , K. Blaum , X. L. Yan , T. Liao , M. Zhang , X. Zhou

There is a considerable interest in understanding the dependence of one-nucleon removal cross sections on the asymmetry of the neutron $S_n$ and proton $S_p$ separation energies, following a large amount of experimental data and theoretical…

Nuclear Theory · Physics 2016-05-04 J. Okołowicz , Y. H. Lam , M. Płoszajczak , A. O. Macchiavelli , N. A. Smirnova

Background: Spectroscopic factors, overlaps, and isospin symmetry are often used in conjunction with single-particle wave functions for the phenomenological analysis of nuclear structure and reactions. Many differing prescriptions for…

Nuclear Theory · Physics 2020-10-07 Carl R. Brune

Recently, a new $\Delta$ method for the calculation of asymptotic normalization coefficients (ANC) from phase-shift data has been formulated, proved and used for bound states. This method differs from the conventional one by fitting only…

Nuclear Theory · Physics 2018-08-15 B. F. Irgaziev , Yu. V. Orlov
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