The beta-decay coupling constant and the ft-value of O14

Blin‐Stoyle, R. J.; Tourneux, J. Le

doi:10.1016/0003-4916(62)90056-8

Cited by 33 publications

(2 citation statements)

References 16 publications

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“…The isospin symmetry, introduced by Heisenberg [1] and Wigner [2], is largely preserved by strong interactions; a small violation of isospin on the hadronic level is due to the difference in the masses of the up and down quarks [3]. In atomic nuclei, the main source of isospin breaking is the electromagnetic interaction [4,5]. Since the isovector and isotensor parts of electromagnetic force are much weaker than the strong interaction between nucleons, many effects associated with isospin breaking in nuclei be can treated in a perturbative way.…”

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confidence: 99%

Isospin Mixing in Nuclei within the Nuclear Density Functional Theory

et al. 2009

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We present the self-consistent, non-perturbative analysis of isospin mixing using the nuclear density functional approach and the rediagonalization of the Coulomb interaction in the good-isospin basis. The largest isospin-breaking effects are predicted for N =Z nuclei and they quickly fall with the neutron excess. The unphysical isospin violation on the mean-field level, caused by the neutron excess, is eliminated by the proposed method. We find a significant dependence of the magnitude of isospin breaking on the parametrization of the nuclear interaction term. A rough correlation has been found between the isospin mixing parameter and the difference of proton and neutron rms radii. The theoretical framework described in this study is well suited to describe a variety of phenomena associated with isospin violation in nuclei, in particular the isospin symmetry-breaking corrections to superallowed Fermi beta decays. [2], is largely preserved by strong interactions; a small violation of isospin on the hadronic level is due to the difference in the masses of the up and down quarks [3]. In atomic nuclei, the main source of isospin breaking is the electromagnetic interaction [4,5]. Since the isovector and isotensor parts of electromagnetic force are much weaker than the strong interaction between nucleons, many effects associated with isospin breaking in nuclei be can treated in a perturbative way. With this caveat, the formalism of isotopic spin is a very powerful concept in nuclear structure and reactions [6,7], where many spectacular examples of isospin symmetry can be found.The main effect of Coulomb force in nuclei is to exert a long-range overall polarization effect on nuclear states whose detailed structure is dictated by the short-ranged strong force. The net effect of such a polarization is a result of two competing trends: the nuclear force is strongly attractive in the isoscalar neutron-proton channel, while the Coulomb force acts against this attraction by making neutron and proton states different. In order to explain this interplay, self-consistent feedback between strong and electromagnetic fields must be considered to best locate the point of the nuclear equilibrium.An excellent example of this interplay is the systematic behavior of nuclear binding energies: with increasing mass number, the stability line bends away from the N =Z line towards the neutron-rich nuclei. The effect of electromagnetic force on nuclear binding is clearly nonperturbative. Even in medium-mass nuclei, which are of principal interest in this study, energy balance between strong and Coulomb forces is not tremendously favorable, e.g., 342 MeV versus 72 MeV in 40 Ca. The situation becomes dramatic in superheavy nuclei and in the neutron star crust, where not only the binding but also spectra are strongly impacted by the Coulomb frustration effects resulting from a self-consistent, non-perturbative feedback between strong and electromagnetic parts of the nuclear Hamiltonian [8,9].The strong motivator for studies of isospin breakin...

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Isospin Mixing in Nuclei within the Nuclear Density Functional Theory

et al. 2009

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“…A small symmetry violation at the hadronic level is due to the difference in the masses of the up and down quarks [1]. In atomic nuclei, the main source of isospin symmetry breaking is the electromagnetic interaction [2,3]. The isovector and isotensor parts of electromagnetic force are much weaker than strong interactions between nucleons, so the effects of isospin symmetry breaking can be considered in a perturbative way.…”

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confidence: 99%

Isospin mixing and Fermi transitions for some deformed nuclei

Ünlü¹,

Aygör²,

Çakmak³

et al. 2016

Turk J Phys

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We have tried to give a self-consistent explanation of isospin mixing and Fermi beta decays for 54 ≤ Z ≤ 68 deformed nuclei. The effect of isospin impurity in nuclear ground states on Fermi beta transitions has been investigated considering the restoration of symmetry violations stemming from the mean field approximation. The isobar analogue excitations in neighbor odd-odd nuclei have been obtained by following the proton-neutron quasiparticle random phase approximation (pnQRPA) procedure. The dependence of isospin admixture probability on the deformation parameter has been determined for various isotopes of Z = 54-68 nuclei. Then the variations of isobar analogue state energies and the β decay log(ft) values with deformation parameter have been calculated for the same nuclei. Thus, the influences of the isospin symmetry violations on Fermi transitions can be clearly understood.

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The charge dependence of nuclear forces and the decay of O14

Lovitch

1963

Nuclear Physics

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The beta-decay coupling constant and the ft-value of O14

Cited by 33 publications

References 16 publications

Isospin Mixing in Nuclei within the Nuclear Density Functional Theory

Isospin Mixing in Nuclei within the Nuclear Density Functional Theory

Isospin mixing and Fermi transitions for some deformed nuclei

The charge dependence of nuclear forces and the decay of O14

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