arXiv subjects

Archana Saxena

Publications and source records attributed to Archana Saxena.

7 recordsLinked to original sources

arXiv2025

Forbidden non-unique $β^{-}$ transitions and $g_A$-sensitive electron spectral-shapes

In the present work, we have done a systematic study of beta decay properties such as electron spectral-shapes, shape factors, and log$ft$ values for the higher forbidden non-unique $β^{-}$ transitions in the mass region A=85-123. We have performed the nuclear shell model (SM) calculations to explore the sensitivity of the electron spectral-shapes for different axial-vector coupling constants $g_{A}=0.8-1.27$. The effective interactions GWBXG, G-matrix, SNET and SN100PN are used for different model spaces. In the present work, we have computed the electron spectral-shapes of $^{85}$Br, $^{87}$Rb, $^{93}$Zr, $^{97}$Zr, $^{101}$Mo, $^{115}$Cd, $^{117}$Cd, $^{119}$In, $^{123}$Sn and $^{135}$Cs by constraining the small relativistic nuclear matrix element from conserved vector-current hypothesis (CVC). We have found that the electron spectral-shapes are strongly dependent on $g_{A}$ except the second forbidden non-unique $β^{-}$ transition $^{93}$Zr.

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arXiv2024

Higher forbidden unique $β^-$ decay transitions and shell-model interpretation

In the present work, we have predicted the half-lives for the $β^{-}$ decay for higher forbidden unique transitions in the mass range of nuclei from A = 40-138. For these transitions, the experimental data for half-lives are not available except for a few cases. The calculations for half-lives are performed within the framework of the nuclear shell model (SM). We have used the effective interactions sdpf-mu, gxpf1a, gwbxg, G-matrix, snet, sn100pn, and jj56pnb to perform the SM calculations in different mass regions. A comprehensive discussion has been made between the SM-predicted half-lives and the scaled half-lives from proton-neutron quasiparticle random-phase approximation (pnQRPA). The results of the present study will be useful to plan new experiments to measure half-lives for these higher forbidden unique $β^{-}$ transitions.

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arXiv2020

Ab initio no-core shell model study of $^{18-23}$O and $^{18-24}$F isotopes

In the present work, we have done a comprehensive study of low-lying energy spectrum for oxygen and fluorine chains using $ab~initio$ no core shell model. We have used inside nonlocal outside Yukawa (INOY) potential, which is a two body interaction but also has the effect of three body forces by short range and nonlocal character. Also, we have performed calculations with N3LO and N2LOopt interactions and compared corresponding results with the experimental data and phenomenological USDB interaction. We have reached up to $N_{max}$=6 for $^{18-21}$O and $^{18-19}$F, $N_{max}$=4 for other oxygen and fluorine isotopes, respectively. We have also discussed the binding energy of oxygen and fluorine chains. Over binding in the ground state (g.s.) energy in neutron rich oxygen isotopes is observed in our largest model space calculations.

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arXiv2019

Ab Initio No Core Shell Model Study of Neutron Rich Nitrogen Isotopes

In the present paper, we have calculated the energy spectra for neutron rich $^{18-22}$N isotopes using no core shell model (NCSM).To calculate the energy spectrum we have used three different $NN$ potentials, inside non-local outside Yukawa (INOY), next-to-next-to-next-leading order (N3LO) from chiral effective field theory and charge-dependent Bonn 2000 (CDB2K). The INOY potential, which is a two body interaction but also have the effect of three body forces by short range and non local character present in it. The calculations have been done at $\hbarΩ$=20 MeV, 14 MeV and 12 MeV using INOY, N3LO and CDB2K potentials, respectively. Apart from this, we have also performed shell model calculations with the YSOX interaction.The results with INOY interaction show good agreement with the experimental data in comparison to other three interactions. We have also shown the occupancy of different orbitals involved corresponding to the largest model space ($N_{max}$= 4) in the present calculations.

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arXiv2018

$Ab~initio$ calculations for Gamow-Teller strengths in $sd$ shell

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 similarity renormalization group (IM-SRG) and coupled-cluster effective interaction (CCEI) approaches. The aim of the present work is to test the predictive power of $ab~initio$ effective interactions by using the available experimental data of Gamow-Teller strength distributions in $sd$ shell nuclei. We perform calculations for $^{20}$Ne $\rightarrow$ $^{20}$F, $^{23}$Na $\rightarrow$ $^{23}$Mg, $^{23}$Na $\rightarrow$ $^{23}$Ne, $^{24}$Mg $\rightarrow$ $^{24}$Na, $^{24}$Mg $\rightarrow$ $^{24}$Al, $^{25}$Mg $\rightarrow$ $^{25}$Al, $^{26}$Mg $\rightarrow$ $^{26}$Na, $^{26}$Mg $\rightarrow$ $^{26}$Al, $^{26}$Si $\rightarrow$ $^{26}$Al, $^{27}$Al $\rightarrow$ $^{27}$Si, $^{28}$Si $\rightarrow$ $^{28}$P, $^{31}$P $\rightarrow$ $^{31}$Si, and $^{32}$S $\rightarrow$ $^{32}$P transitions. For comparison we also show the results obtained by using the phenomenological USDB Hamiltonian. The phenomenological USDB results of the Gamow-Teller (GT$_+$/GT$_-$) strength distributions show reasonable agreements with the experimental data in comparison to the $ab~initio$ interactions. We also calculate the electron capture reaction rates for $^{23}$Na(e$^-$, $ν$)$^{23}$Ne and $^{25}$Mg(e$^-$, $ν$)$^{25}$Na using $ab~initio$ and USDB interactions.

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arXiv2017

First-principles results for electromagnetic properties of $sd$ shell nuclei

In this work we present $ab~initio$ shell-model calculations for electric quadrupole moments and magnetic dipole moments of $sd$ shell nuclei using valence-space Hamiltonians derived with two $ab~initio$ approaches: the in-medium similarity renormalization group (IM-SRG) and the coupled-cluster effective interaction (CCEI). Results are in a reasonable agreement with the available experimental data as well as with the results from the phenomenological USDB effective interaction. This work will add more information to the available $ab~initio$ results for the spectroscopy of $sd$ shell nuclei.

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arXiv2017

$^{35,37,39}$S isotopes in $sd-pf$ space : Shell-model interpretation

The structure of $^{35,37,39}$S isotopes is described by performing comprehensive shell model calculations with SDPF-U and SDPFMW interactions. Protons and neutrons are restricted to the $sd$-shell for $N < 20$, neutrons start to fill the $pf$-shell for $N > 20$. Natural parity states are described by only in-shell mixing, unnatural parity states with 1p-1h inter-shell neutron excitations. With SDPF-U interaction, reported are the results for natural parity states only because this interaction is not suitable for cross shell excitations. Calculated energy levels, electromagnetic properties and spectroscopic factors are in good agreement with the recently available experimental data.

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