Shell model calculations for the allowed Gamow-Teller β-decays of light nuclei

Li, Hantao; Ren, Zhongzhou

doi:10.1007/s11433-014-5456-7

Cited by 12 publications

(7 citation statements)

References 44 publications

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“…This is due to the oppositive charge between a positron and an electron. These are also confirmed by numerical calculations of β-decay half-lives [28][29][30][31][32][33]. It is natural to extend this idea from single β-decay to double β-decay.…”

Section: Half-livessupporting

confidence: 60%

“…( 2) from double β − -decay to that of double β +decay, we analyze the contribution of the Coulomb field on half-lives. It is well known from textbooks [25][26][27] and from previous researches [28][29][30][31][32][33] that the effect of the Coulomb field in single β + -decay is oppositive as compared with that in single β − -decay. The effect of the Coulomb field will shorten the half-lives of a β − -decay but it will prolong the half-lives of a β + -decay when the decay energy is fixed.…”

Section: Half-livesmentioning

confidence: 99%

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Half-lives of double β +-decay with two neutrinos

Ren

2014

Sci. China Phys. Mech. Astron.

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Nuclear double β − -decays with two neutrinos were observed for many years and a systematic law describing the relation between their half-lives and decay energies was also proposed recently [Phys.Rev. C89, 064603 (2014)]. However, double β + -decay (β + β + ) with emission of both two positrons and two neutrinos has not been observed up to date. In this article, we perform a systematic analysis on the candidates of double β + -decay, based on the 2012 nuclear mass table. Eight nuclei are found to be the good candidates for double β + -decay and their half-lives are predicted according to the generalization of the systematic law to double β + -decay. As far as we know, there is no theoretical result on double β + -decay of nucleus 154 Dy and our result is the first prediction on this nucleus. This is also the first complete research on eight double β + -decay candidates based on the available data of nuclear masses. It is expected that the calculated half-lives of double β + -decay in this article will be useful for future experimental search of double β + -decay.

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Section: Half-livessupporting

confidence: 60%

Section: Half-livesmentioning

confidence: 99%

Half-lives of double β +-decay with two neutrinos

Ren

2014

Sci. China Phys. Mech. Astron.

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“…For GT transitions, the shape factor is not dependent on the β energy W and has the form [27][28][29][30][31][32][33][34] …”

Section: Theoretical Frameworkmentioning

confidence: 99%

β-decay rates of neutron-rich Zr and Mo isotopes in the deformed quasiparticle random-phase approximation with realistic interactions

Ren

2014

Phys. Rev. C

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The β − -decay rates of neutron-rich Zr and Mo isotopes are investigated within the deformed quasiparticle random-phase approximation with realistic nucleon-nucleon interactions. Axially symmetric deformations are considered in the calculations from a mean-field description of a quasiparticle picture and of both particle-hole and particle-particle excitations. The Brückner G matrix obtained with charge-dependent Bonn nucleon-nucleon forces is employed for residual particle-particle and particle-hole interactions. Contributions from both allowed Gammow-Teller and first-forbidden transitions are calculated and the sensitivity of the calculated results to the particle-particle strength is discussed. The calculated β-decay half-lives show a good agreement with the available experimental data. Moreover, predictions of β-decay half-lives are made for some extremely neutron-rich isotopes, which could be useful for future experiments.

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“…A few examples could be found in refs. [20][21][22][23][24][25]. The monopole Hamiltonian is specified by the angular-momentum averaged two-body matrix elements, i.e., monopole matrix elements [18] …”

Section: Theoretical Frameworkmentioning

confidence: 99%

A short revisit to Kuo-Brown effective interactions

Wang

Dong

2015

Sci. China Phys. Mech. Astron.

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International audienceThis paper is a short revisit to Kuo-Brown effective interaction derived from the Hamada-Johnston nucleon-nucleon potential, doneby Gerry Brown and Tom Kuo. This effective interaction, derived in year 1966, is the first attempt to describe nuclear structureproperties from the free nucleon-nucleon potential. Nowadays much progress has been achieved for the effective interactions inshell model. We would compare the effective interactions obtained in the 1966 paper with up-to-date shell-model interactions insd-shell and pf-shell model space. Recent knowledge of effective interactions on nuclear structure, can also be traced in the Kuo-Brown effective interaction, i.e., the universal roles of central and tensor forces, which reminds us that such discovery should benoticed much earlier

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Shell model calculations for the allowed Gamow-Teller β-decays of light nuclei

Cited by 12 publications

References 44 publications

Half-lives of double β +-decay with two neutrinos

Half-lives of double β +-decay with two neutrinos

β-decay rates of neutron-rich Zr and Mo isotopes in the deformed quasiparticle random-phase approximation with realistic interactions

A short revisit to Kuo-Brown effective interactions

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