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Shape effects on double beta decay of $^{70}$Zn and $^{150}$Nd in deformed shell model
Nuclear Theory · Submitted 30 Jan 2015
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Using deformed shell model based on Hartree-Fock intrinsic states with $^{70}$Zn as an example and employing two realistic effective interactions, namely jj44b that produces deformed shape and JUN45 that generates spherical shape, it is demonstrated that the $0\nu$ and $2\nu$ nuclear transition matrix elements for double beta decay will reduce considerably as we go from spherical shapes to deformed shapes.
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The abstract, sentence by sentence
Using deformed shell model based on Hartree-Fock intrinsic states with $^{70}$Zn as an example and employing two realistic effective interactions, namely jj44b that produces deformed shape and JUN45 that generates spherical shape, it is demonstrated that the $0\nu$ and $2\nu$ nuclear transition matrix elements for double beta decay will reduce considerably as we go from spherical shapes to deformed shapes. This result is further substantiated by using $^{150}$Nd as another example.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Using deformed shell model based on Hartree-Fock intrinsic states with $^{70}$Zn as an example and employing two realistic effective interactions, namely jj44b that produces deformed shape and JUN45 that generates spherical shape, it is demonstrated that the $0\nu$ and $2\nu$ nuclear transition matrix elements for double beta decay will reduce considerably as we go from spherical shapes to deformed shapes. | result 0.85 | 0.92 | 0.93 | asserted 1.00 |
| s1 | This result is further substantiated by using $^{150}$Nd as another example. | result 0.48 | 0.81 | 0.06 | asserted 0.98 |
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The paper
Original abstract
Using deformed shell model based on Hartree-Fock intrinsic states with $^{70}$Zn as an example and employing two realistic effective interactions, namely jj44b that produces deformed shape and JUN45 that generates spherical shape, it is demonstrated that the $0\nu$ and $2\nu$ nuclear transition matrix elements for double beta decay will reduce considerably as we go from spherical shapes to deformed shapes. This result is further substantiated by using $^{150}$Nd as another example.
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1 arXiv paper cite this in 1 sentence
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Uses the method or tool of 1 paper
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In our DSM analysis, we will use $(2:0ν)$ as given in [ref] and it contains the neutrino potential, Jastrow factor and a scale factor three.
Deformed shell model results for neutrinoless double beta decay of nuclei in A=60-90 region · Double beta decay half-lives and deformed shell model · 0.85
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