Isospin nonconservation in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>s</mml:mi><mml:mi>d</mml:mi></mml:mrow></mml:math>-shell nuclei

Lam, Y. H.; Smirnova, N. A.; Caurier, E.

doi:10.1103/physrevc.87.054304

Cited by 68 publications

(110 citation statements)

References 96 publications

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“…This is especially true in relation to the shell model, where significant work has been done in understanding how isospin non-conserving interactions of both isovector and isotensor origin need to be incuded in the effective interaction to explain, numerically, the differences between isobaric analogue states -e.g. [2][3][4][5][6][7][8][9][10][11][12][13][14][15]. These studies are undertaken by examining excitation energy differences between states of the same spin and parity J π , and isospin, T , in an isobaric muliplet, and reproducing those energy dfferences in a shell-model approach including isovector and isotensor terms.…”

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confidence: 99%

Triplet energy differences and the low lying structure ofGa62

Henry¹,

Bentley²,

Clark³

et al. 2015

Phys. Rev. C

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confidence: 99%

Triplet energy differences and the low lying structure ofGa62

Henry¹,

Bentley²,

Clark³

et al. 2015

Phys. Rev. C

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“…The isospin non-conserving (INC) Hamiltonian (hereinafter referred to as cd-GXPF1J) is constructed based on the isospin conserving Hamiltonian cd-GXPF1J [44], the Coulomb interaction, and the isovector single-particle energies (IVSPEs) [45] scaled as hω(A) [18]. A quenching factor q F =0.74 to the Gamow-Teller (GT) operator is employed to calculate the β -decay strength distribution.…”

Section: Pos(inpc2016)025mentioning

confidence: 99%

Masses of 52Co And their Impact On The Understanding Of Beta-decay Of 52Ni

Zhang¹

2017

Proceedings of the 26th International Nuclear Physics Conference — PoS(INPC2016)

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Mass excesses of 52 Co and its (2 + ) isomer are measured to be −34361(8) keV and −33974(10) keV using isochronous mass spectrometry at CSRe. Referring to the β -delayed γ emissions of 52 Ni, we identified a new excited state in 52 Co and assigned it as the T = 2, J π = 0 + isobaric analog state (IAS) of 52 Ni. This state is 135(17) keV less bound than that suggested previously based on the β -delayed protons of 52 Ni. We find that the mass of this IAS together with those of the IAS ′ s in 52 Fe, 52 Mn, and 52 Cr fit well into the Isobaric Multiplet Mass Equation.An interesting finding from this measurement is that the IAS in 52 Co decays dominantly via γ transitions while proton emission is almost negligible. This phenomenon could be due to very low isospin mixing according to the large-scale shell model calculations.

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“…However, the proven validity of the IMME does not in itself provide any direct information on the nature of the charge-violating nuclear interaction. In shellmodel calculations, such interaction [26,27] are added to an isospin-conserving Hamiltonian, with the charge-symmetry breaking (CSB) or charge-independent breaking (CIB) com-ponents in the strong nuclear force fitted to data. In this Rapid Communication, we consider the contributions of CSB and CIB derived from nuclear medium in the effective nucleonnucleon interaction.…”

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Generalized isobaric multiplet mass equation and its application to the Nolen-Schiffer anomaly

Zhang

Zuo

et al. 2018

Phys. Rev. C

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The Wigner Isobaric Multiplet Mass Equation (IMME) is the most fundamental prediction in nuclear physics with the concept of isospin. However, it was deduced based on the Wigner-Eckart theorem with the assumption that all charge-violating interactions can be written as tensors of rank two. In the present work, the chargesymmetry breaking (CSB) and charge-independent breaking (CIB) components of the nucleon-nucleon force, which contribute to the effective interaction in nuclear medium, are established in the framework of Brueckner theory with AV18 and AV14 bare interactions. Because such charge-violating components can no longer be expressed as an irreducible tensor due to density dependence, its matrix element cannot be analytically reduced by the Wigner-Eckart theorem. With an alternative approach, we derive a generalized IMME (GIMME) that modifies the coefficients of the original IMME. As the first application of GIMME, we study the long-standing question for the origin of the Nolen-Schiffer anomaly found in the Coulomb displacement energy of mirror nuclei. We find that the naturally-emerged CSB term in GIMME is largely responsible for explaining the Nolen-Schiffer anomaly. Introduction. The similarity of proton and neutron masses and approximate symmetry of nucleon-nucleon interactions under the exchange of the two kinds of nucleons lead to the concept of isospin [1,2]. At the isospin-symmetry limit, the charge-symmetry requires that the free proton-proton interaction v pp excluding the Coulomb force is equal to the neutronneutron v nn , while the charge-independence requires that the neutron-proton interaction v np = (v nn + v pp )/2 [3]. However, the nucleon-nucleon scattering data suggested that v nn is slightly more attractive than v pp , and v np is stronger than (v nn + v pp )/2 [4,5]. In real nuclear systems where manybody effects are important [6], isospin symmetry breaking has long been an active research theme connected to different subfields, for examples, in understanding the precise values of the Cabbibo-Kobayashi-Maskawa (CKM) mixing matrix elements between the u and d quarks [7,8], the changes in nuclear structure near the N = Z line due to charge-violating nuclear force [9][10][11][12], and the influence in nova nucleosynthesis [13].

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Isospin nonconservation insd-shell nuclei

Cited by 68 publications

References 96 publications

Triplet energy differences and the low lying structure ofGa62

Triplet energy differences and the low lying structure ofGa62

Masses of 52Co And their Impact On The Understanding Of Beta-decay Of 52Ni

Generalized isobaric multiplet mass equation and its application to the Nolen-Schiffer anomaly

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