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Wave functions arising form a pairing Hamiltonian E(0) i,e, one in which the interaction is only between J=0^{+}T=1 pairs, lead to magnetic dipole and Gamow-Teller transition rates that are much larger than those from an interaction…

Nuclear Theory · Physics 2015-06-22 Matthew Harper , Larry Zamick

In the present work we perform a systematic shell model study of Gamow-Teller transition strength distributions in $sd$ shell nuclei using $ab~initio$ effective interactions. The $ab~initio$ effective interactions are based on in-medium…

Nuclear Theory · Physics 2018-02-09 Archana Saxena , Praveen C. Srivastava , Toshio Suzuki

A systematic shell model description of the experimental Gamow-Teller transition strength distributions in $^{42}$Ti, $^{46}$Cr, $^{50}$Fe and $^{54}$Ni is presented. These transitions have been recently measured via $\beta$ decay of these…

Nuclear Theory · Physics 2016-06-29 Vikas Kumar , P. C. Srivastava

For the first time, the $(d,{}^2\text{He})$ reaction was successfully used in inverse kinematics to extract the Gamow-Teller transition strength in the $\beta^{+}$ direction from an unstable nucleus. The nucleus studied was $^{14}$O, and…

It is widely accepted that nuclear Gamow-Teller transitions are quenched; shell-model calculations also showed a clear anticorrelation between the Gamow-Teller strength and the transition rate of the collective quadrupole excitation from…

Nuclear Theory · Physics 2017-10-25 Vladimir Zelevinsky , Naftali Auerbach , Bui Minh Loc

We consider 2 neutrons and 2 protons in the g_{9/2} shell.Wave functions and energy levels are obtained for various interactions. The wave functions for states with total angular momentum I greater or equal to 10 are not affected by what…

Nuclear Theory · Physics 2015-06-22 Larry Zamick , Daniel Hertz-Kintish

We have reported a systematic shell model description of the experimental Gamow-Teller transition strength for $^{44}$Sc $\rightarrow$ $^{44}$Ca, $^{45}$Ti $\rightarrow$ $^{45}$Sc, $^{48}$Ti $\rightarrow$ $^{48}$V, $^{66}$Co $\rightarrow$…

Nuclear Theory · Physics 2020-06-24 Vikas Kumar , Praveen C. Srivastava , Anil Kumar

Weak interaction charged current transition strengths from highly excited nuclear states are fundamental ingredients for accurate modeling of compact object composition and dynamics, but are difficult to obtain either from experiment or…

Nuclear Theory · Physics 2022-02-09 Raul A. Herrera , Calvin W. Johnson , George M. Fuller

The energy distributions of the Gamow-Teller strength are studied for even-even Xe isotopes with mass numbers from 124 to 142. A self-consistent microscopic formalism is used to generate the single particle basis, using a deformed Skyrme…

We investigate the effect of pairing correlations on the computed Gamow-Teller (GT) strength distributions and corresponding $\beta$-decay half-lives. The calculations are performed for a total of 47 sd-shell nuclei, for $20 < A < 30$,…

Nuclear Theory · Physics 2025-03-24 Jameel-Un Nabi , Asim Ullah , Muhammad Tahir

The isoscalar and isovector components and their contributions to $M1$ transitions are discussed in the odd-$A$, $T=1/2$ mirror nuclei with mass number ranging from $A=23$ to 37. The orbital contributions in various $M1$ transitions and…

Nuclear Theory · Physics 2024-11-14 Subhrajit Sahoo , Praveen C. Srivastava

A method for calculation of Gamow-Teller transition rates is developed by using the concept of the Projected Shell Model (PSM). The shell model basis is constructed by superimposing angular-momentum-projected multi-quasiparticle…

Nuclear Theory · Physics 2008-11-26 Zao-Chun Gao , Yang Sun , Y. -S. Chen

Through a sequence of large scale shell model calculations, total Gamow-Teller strengths ($S_+$ and $S_-$) in $^{54}$Fe and $^{56}$Fe are obtained. They reproduce the experimental values once the $\sigma\tau$ operator is quenched by the…

Nuclear Theory · Physics 2009-10-28 E. Caurier , A. Poves , A. P. Zuker , G. Martinez-Pinedo

The problem of the near vanishing of the Gamow-Teller transition ($GT$) in the A=14 system between the lowest $J=0^+~ T=1$ and $J=1^+~ T=0$ states is revisited. The model space is extended from the valence space $(p^{-2})$ to the valence…

Nuclear Theory · Physics 2009-10-31 M. S. Fayache , L. Zamick , H. Muether

We perform calculations for M1 transitions and allowed Gamow Teller (GT) transitions in the even-even Titanium isotopes - $^{44}$Ti, $^{46}$Ti, and $^{48}$Ti. We first do calculations with the FPD6 interaction. Then to study the effect of…

Nuclear Theory · Physics 2009-11-07 Shadow J. Q. Robinson , Larry Zamick

The double Gamow-Teller strength distributions in the lightest double beta-decay candidate $^{48}$Ca and its isotope $^{46}$Ca were calculated using the nuclear shell model by applying the single Gamow-Teller operator two times sequentially…

Nuclear Theory · Physics 2018-12-05 Naftali Auerbach , Minh-Loc Bui

Searches of neutrinoless double-beta decay require information on the value of the nuclear matrix elements that rule the process to plan and interpret experiments. At present, however, even the matrix elements obtained with the most…

Nuclear Theory · Physics 2018-08-15 Javier Menéndez , Noritaka Shimizu , Kentaro Yako

The proportionality between differential cross sections at vanishing linear momentum transfer and Gamow-Teller transition strength, expressed in terms of the \textit{unit cross section} ($\hat{\sigma}_{GT}$) was studied as a function of…

We have studied the Gamow-Teller (GT) transitions from $N=Z+2$ neighbors to $N=Z=$ odd nuclei in $p$-shell region by using isospin-projected and $\beta\gamma$-constraint antisymmetrized molecular dynamics combined with generator coordinate…

Nuclear Theory · Physics 2017-10-25 Hiroyuki Morita , Yoshiko Kanada-En'yo

We investigate the tensor force (TF) effect %in the residual interaction on the Gamow-Teller (GT) transitions in four magic nuclei, $^{48}$Ca, $^{90}$Zr, $^{132}$Sn and $^{208}$Pb. The TF is taken into account by using the Br\"uckner…

Nuclear Theory · Physics 2024-02-27 Eunja Ha , Myung-Ki Cheoun , H. Sagawa
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