Shell model results for nuclear β−-decay properties of sd-shell nuclei

Kumar, Anil; Srivastava, P. C.; Suzuki, Tsuneo

doi:10.1093/ptep/ptaa012

Cited by 11 publications

(7 citation statements)

References 65 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Few noticeable mentions include shell model Monte Carlo technique (e.g., [? ]), thermal quasi-particle random-phase approximation, QRPA (e.g., [19][20][21]), large-scale shell model (e.g., [3]), Gross theory (e.g., [13]), density functional theory (e.g., [14]), Hartree-Fock-Bogoliubov method (e.g., [15]) and shell model (e.g., [16]).…”

Section: Of 17mentioning

confidence: 99%

“…Since the majority of these nuclei cannot be created under lab conditions, microscopic calculations of stellar weak-decay properties have gained importance in our quest to comprehend stellar processes. Numerous computations have focused on the mechanisms underlying stellar development and nucleosynthesis (e.g., [11][12][13][14][15][16]). Once an iron core develops in a giant star's later stages of evolution, there is no more fuel available to start a new burning cycle.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Re-examination of the Effect of Pairing Gaps on Gamow-Teller Strength Distributions and $\beta$-decay Rates

Nabi,

Riaz,

Mehmood

2023

Preprint

View full text Add to dashboard Cite

$\beta$-decay is one of the key factors to understand the $r$-process and evolution of massive stars. The Gamow-Teller (GT) transitions drive the $\beta$-decay process. We employ the proton-neutron quasiparticle random phase approximation (pn-QRPA) model to calculate terrestrial and stellar $\beta$-decay rates for 50 top-ranked nuclei possessing astrophysical significance according to a recent survey \cite{Nab21}. The model parameters of the pn-QRPA model effect the predicated results of $\beta$-decay. The current study investigates the effect of nucleon-nucleon pairing gaps on charge-changing transitions and the associated $\beta$ decay rates. Three different values of pairing gaps, namely TF, 3TF and 5TF, were used in our investigation. It was concluded that both GT strength distributions and half-lives are sensitive to pairing gap values. The 3TF pairing gap scheme, in our chosen nuclear model, resulted in best prediction with around 80$\%$ of the calculated half-lives within a factor 10 of the measured ones. The 3TF pairing scheme also led to calculation of biggest $\beta$-decay rates in stellar matter.

show abstract

Section: Of 17mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Re-examination of the Effect of Pairing Gaps on Gamow-Teller Strength Distributions and $\beta$-decay Rates

Nabi,

Riaz,

Mehmood

2023

Preprint

View full text Add to dashboard Cite

show abstract

“…One possibility is the half-life method where the computed and experimental (partial) β-decay half-lives are matched by varying the value of g A . This method has been used for the allowed, forbidden, and two-neutrino double β decays in the framework of the proton-neutron quasiparticle random-phase approximation (pnQRPA) [7][8][9][10][11][12][13][14], the nuclear shell model (NSM) [15][16][17][18][19][20][21][22], and the interacting boson model (IBM) [23][24][25]. All these studies have shown that a quenched value of g A is needed in order to reproduced the experimental observations.…”

Section: Introductionmentioning

confidence: 99%

Second-forbidden nonunique $$\beta ^-$$ decays of $$^{59,60}$$Fe:possible candidates for $$g_{\mathrm{A}}$$ sensitive electron spectral-shape measurements

2021

Self Cite

View full text Add to dashboard Cite

In this work, we present a theoretical study of the electron spectral shapes for the second-forbidden nonunique β − -decay transitions 59 Fe(3/2 − ) → 59 Co(7/2 − ) and 60 Fe(0 + ) → 60 Co(2 + ) in the framework of the nuclear shell model. We have computed the involved wave functions by carrying out a complete 0 ω calculation in the full f p model space using the KB3G and GXPF1A effective interactions. When compared with the available data, these interactions predict the low-energy spectra and electromagnetic properties of the involved nuclei quite successfully. This success paves the way for the computations of the β-decay properties, and comparison with the available data. We have computed the electron spectral shapes of the mentioned decay transitions as functions of the value of the weak axial coupling gA. By comparing these computed shapes with the measured spectral shapes allows then to extract the effective value of gA for these decay transitions. This procedure, coined the spectrum-shape method (SSM) in several earlier studies, complements the method of determining the value of gA by reproducing the (partial) half-lives of decay transitions. Here we have enhanced the original SSM by constraining the value of the relativistic vector matrix element, V M (0) KK−11 , using the conserved vector-current hypothesis (CVC) as a starting point. We hope that this finding would be a strong incentive to measure the spectral shapes in the future.

show abstract

“…Study of nuclear structures up to Z = 20 and beyond using first principles or ab initio approaches has gained momentum over the past few years [32][33][34][35][36][37][38]. In Ref.…”

Section: Introductionmentioning

confidence: 99%

Structure of $^{46,47}$Ca from the $β^-$ decay of $^{46,47}$K in the framework of nuclear shell model

Choudhary,

Kumar,

Srivastava

et al. 2021

Preprint

Self Cite

View full text Add to dashboard Cite

In the present work, we report a comprehensive theoretical study of the log f t values for the allowed and forbidden β − decay transitions of 46 K and 47 K corresponding to recently available experimental data from the GRIFFIN spectrometer at TRIUMF-ISAC [Phys. Rev. C 100, 054327 (2019); Phys. Rev. C 102, 054314 (2020)]. We perform the nuclear shell-model calculation in sdpf -valence space, with the SDPF-MU interaction, to calculate low-lying energy spectra of 46,47 K and 46,47 Ca. For further investigation, we also calculate spectroscopic properties of 46,47 K, 46,47 Ca and compare the results with the experimental data. We suggest spin-parity of several levels, which were previously tentative, in both the calcium isotopes. Based on the energy and log f t values, we conclude that the state at 3.984 in 46 Ca could be either 3 − or 2 + and a state at 4.432 MeV might be 3 − . The spin-parity of the states at 2.875, 3.951 and 4.453 MeV are predicted to be 1/2 − , 3/2 − and 1/2 − or 1/2 + , respectively, in 47 Ca. We also give the confirmation to spin-parity of 2.850, 3.889 and 4.606 MeV states for 47 Ca. Our results of level schemes and log f t values for the β − decay of 46,47 K are in a reasonable agreement with the experimental data.

show abstract

Shell model results for nuclear β−-decay properties of sd-shell nuclei

Cited by 11 publications

References 65 publications

Re-examination of the Effect of Pairing Gaps on Gamow-Teller Strength Distributions and $\beta$-decay Rates

Re-examination of the Effect of Pairing Gaps on Gamow-Teller Strength Distributions and $\beta$-decay Rates

Second-forbidden nonunique $$\beta ^-$$ decays of $$^{59,60}$$Fe:possible candidates for $$g_{\mathrm{A}}$$ sensitive electron spectral-shape measurements

Structure of $^{46,47}$Ca from the $β^-$ decay of $^{46,47}$K in the framework of nuclear shell model

Contact Info

Product

Resources

About