Coulomb Mixing Effects in Nuclei: A Survey Based on Sum Rules

Lane, A.M.; Mekjian, A. Z.

doi:10.1007/978-1-4615-9044-6_2

Cited by 30 publications

(6 citation statements)

References 62 publications

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“…The investigation on the isospin admixture effect in the ground state of these proton (1) rich nuclei can be considered as one of the possible candidate studies. It is well known that the isospin admixture effects of the nuclear states are very important in the estimates of the effective vector coupling constants based on Fermi transitions, and in the description of the energies and the widths of the analog states and the isospin multiplets [1][2][3][4].…”

Section: Introductionmentioning

confidence: 99%

“…The establishment of the new proton-rich nuclei within the mass region of A = 80-100 with the development of heavy mass ion technology allows us to study the isospin mixing effects in the ground state of these nuclei which are very important in the estimates of the effective 0954-3899/04/060759+12$30.00 © 2004 IOP Publishing Ltd Printed in the UK vector coupling constants based on Fermi transitions, and in the description of the energies and the widths of the analogue states and the isospin multiplets [1][2][3][4]. The isospin mixing is basically caused by the Coulomb potential, or more accurately by that part of the Coulomb potential which changes over the nuclear volume.…”

Section: Introductionmentioning

confidence: 99%

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The effect of the pairing interaction on the energies of isobar analogue resonances in^112–124Sb and isospin admixture in^100–124Sn isotopes

Babacan

Salamov

Küçükbursa

et al. 2004

J. Phys. G: Nucl. Part. Phys.

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In the present study, the effect of the pairing interaction and the isovector correlation between nucleons on the properties of the isobar analog resonances (IAR) in 112−124 Sb isotopes and the isospin admixture in 100−124 Sn isotopes is investigated within the framework of the quasiparticle random phase approximation (QRPA). The form of the interaction strength parameter is related to the shell model potential by restoring the isotopic invariance of the nuclear part of the total Hamiltonian. In this respect, the isospin admixtures in the 100−124 Sn isotopes are calculated, and the dependence of the differential cross section and the volume integral J F for the Sn( 3 He,t)Sb reactions at E( 3 He)= 200 MeV occurring by the excitation of IAR on mass number A is examined. Our results show that the calculated value for the isospin mixing in the 100 Sn isotope is in good agreement with Colo et al.'s estimates (4 − 5%), and the obtained values for the volume integral change within the error range of the value reported by Fujiwara et al. (53±5 MeV fm 3 ). Moreover, it is concluded that although the differential cross section of the isobar analog resonance for the ( 3 He,t) reactions is not sensitive to pairing correlations between nucleons, a considerable effect on the isospin admixtures in N ≈ Z isotopes can be seen with the presence of these correlations.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

The effect of the pairing interaction on the energies of isobar analogue resonances in^112–124Sb and isospin admixture in^100–124Sn isotopes

Babacan

Salamov

Küçükbursa

et al. 2004

J. Phys. G: Nucl. Part. Phys.

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“…(6) and (7) for b and c gives b = -18.6+0.9 MeV and c=0.188+0.035 MeV. The results are not in agreement with the above estimates (which do not include second-order corrections [23,24]). The uncertainties for b and c do not include an estimate for the uncertainty of hE~).…”

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confidence: 71%

T=13 double isobaric analog state inCe138via pion-induced double charge exchange

et al. 1992

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Pion double charge exchange on ' 'Na ( T=13), at a bombarding energy of 292 MeV, and a scattering angle of 5', has been used to populate the double isobaric analog state in '"Ce. The measurements provide determinations of Q value, width, and center-of-mass cross section. Results are compared with systematics and with the isobaric-multiplet-mass equation.PACS number (s): 25.70.Kk, 24.30.Gd, 21.10.Dr, 27.60.+j

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“…The investigation of Fermi beta decay is very important in understanding the isospin impurity in nuclear ground states. The problem of isospin mixing in nuclear ground states is of great importance in the experimental determination of the vector coupling constant of nucleon β -decay as well as in the description of the isobar analogue state energies and isospin multiplets [6][7][8][9]. The isospin mixing in nuclear ground states was studied in various models.…”

Section: Introductionmentioning

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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Coulomb Mixing Effects in Nuclei: A Survey Based on Sum Rules

Cited by 30 publications

References 62 publications

The effect of the pairing interaction on the energies of isobar analogue resonances in^112–124Sb and isospin admixture in^100–124Sn isotopes

The effect of the pairing interaction on the energies of isobar analogue resonances in^112–124Sb and isospin admixture in^100–124Sn isotopes

T=13 double isobaric analog state inCe138via pion-induced double charge exchange

Isospin mixing and Fermi transitions for some deformed nuclei

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Coulomb Mixing Effects in Nuclei: A Survey Based on Sum Rules

Cited by 30 publications

References 62 publications

The effect of the pairing interaction on the energies of isobar analogue resonances in112–124Sb and isospin admixture in100–124Sn isotopes

The effect of the pairing interaction on the energies of isobar analogue resonances in112–124Sb and isospin admixture in100–124Sn isotopes

T=13 double isobaric analog state inCe138via pion-induced double charge exchange

Isospin mixing and Fermi transitions for some deformed nuclei

Contact Info

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Resources

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The effect of the pairing interaction on the energies of isobar analogue resonances in^112–124Sb and isospin admixture in^100–124Sn isotopes

The effect of the pairing interaction on the energies of isobar analogue resonances in^112–124Sb and isospin admixture in^100–124Sn isotopes