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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

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…

Nuclear Theory · Physics 2015-06-04 J. Okołowicz , N. Michel , W. Nazarewicz , M. Płoszajczak

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

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

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 (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

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

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

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

The neutron skin of atomic nuclei impacts the structure of neutron-rich nuclei, the equation of state of nucleonic matter, and the size of neutron stars. Here we predict the neutron skin of selected light- and medium-mass nuclei using…

Nuclear Theory · Physics 2023-01-23 S. J. Novario , D. Lonardoni , S. Gandolfi , G. Hagen

I present a critical review of absolute root-mean-square charge radii of stable nuclei from $Z=3$ to $Z=32$, which includes a previously overlooked uncertainty in the combined analysis of muonic x-ray and electron scattering experiments.…

Nuclear Experiment · Physics 2025-07-08 Ben Ohayon

The neutron skin of nuclei is an important fundamental property, but its accurate measurement faces many challenges. Inspired by charge symmetry of nuclear forces, the neutron skin of a neutron-rich nucleus is related to the difference…

Nuclear Theory · Physics 2020-12-02 M. K. Gaidarov , I. Moumene , A. N. Antonov , D. N. Kadrev , P. Sarriguren , E. Moya de Guerra

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

High precision measurements of isospin $T=1/2$ decays in the neutron and nuclei provide strong model-independent constraints on extensions to the standard model of particle physics. A measurement of the $\beta$-asymmetry in $^{19}$Ne decay…

Nuclear Experiment · Physics 2020-11-24 Dustin Combs , Gordon Jones , William Anderson , Frank Calaprice , Leendert Hayen , Albert Young

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

The binding energy differences of the valence proton and neutron of the mirror nuclei, $^{15}$O -- $^{15}$N, $^{17}$F -- $^{17}$O, $^{39}$Ca -- $^{39}$K and $^{41}$Sc -- $^{41}$Ca, are calculated using the quark-meson coupling (QMC) model.…

Nuclear Theory · Physics 2010-02-17 K. Tsushima , K. Saito , A. W. Thomas

It has been recently suggested that differences in the charge radii of mirror nuclei are proportional to the neutron-skin thickness of neutron-rich nuclei and to the slope of the symmetry energy $L$ [B.A. Brown Phys. Rev. Lett. 119, 122502…

Nuclear Theory · Physics 2018-01-31 Junjie Yang , J. Piekarewicz

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

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

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
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