Accurate Estimations of Stellar and Interstellar Transition Lines of Triply Ionized Germanium

Dutta, Narendra Nath; Majumder, Sonjoy

doi:10.1088/0004-637x/737/1/25

Cited by 14 publications

(14 citation statements)

References 29 publications

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“…There are few cases in the E1 transitions where correlations contribute more than 10% to the amplitudes, whereas not a single such case is found to take place in the E2 transitions. The correlation contributions to these amplitudes vary between 1.5% to 7.5% leading to about 3% to 15% variations in the transition probabilities from the corresponding DF values [26]. Here also, the Gaunt contributions are found to be less than 0.1%, except 4p 2 P 3/2 → 4f 2 F 5/2,7/2 (about 0.104%) and 4p…”

Section: Resultsmentioning

confidence: 65%

“…The transition amplitudes of the resonance transitions, i.e., 4s 2 S 1/2 → 4p 2 P 1/2,3/2 transitions are found to be about 11% correlated, which leads to about 22% correlation contributions to the corresponding oscillator strengths [26]. However, the Gaunt effects are much less significant compared to the correlations not only for these transitions but also for all the other transitions as presented in Table I.…”

Section: Resultsmentioning

confidence: 90%

“…The quality of the correlated wavefunctions generated by the relativistic coupled-cluster (RCC) method is based on the quality of the DF orbital wavefunctions. The DF orbitals of triply ionized Ga are generated from the universal Gaussian-type orbital (GTO) basis functions with α 0 = 0.00660 and β = 2.80 for the Dirac-Coulomb Hamiltonian [21,25,26]. The DF solutions of bound orbital energies and matrix elements of the different radial operators obtained from the GRASP92 code are taken as standards to fit these universal parameters [27].…”

Section: Resultsmentioning

confidence: 99%

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Ab initiocalculations of transition amplitudes and hyperfineAandBconstants of Ga iii

et al. 2013

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In this paper, the E1, E2 and M1 transition amplitudes are calculated along with the hyperfine A and B constants of doubly ionized gallium using the relativistic coupled-cluster approach. Electron correlations and the Gaunt interactions are considered to all orders using the coupled-cluster theory in the relativistic framework and their contributions are discussed explicitly in the calculations of all these amplitudes. Some interesting features of the correlation effects on the Gaunt interactions are noticed in the calculations of the hyperfine constants. Lifetimes of some low-lying states are also calculated using the transition amplitudes obtained by the present theory and the experimental transition energies. The calculated E1 transition amplitudes and lifetimes are in good agreement with the results obtained by the other theories and experiment. The hyperfine splitting of the ground states of 71 Ga III and 69 Ga III are found to be about 35 and 27.5 GHz, respectively, which shows the importance of these isotopes for the possible use of microwave frequency standards. The calculated hyperfine constants are associated with line width estimations of some transition lines in the visible and ultraviolet regions of electromagnetic spectrum.

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Section: Resultsmentioning

confidence: 65%

Section: Resultsmentioning

confidence: 90%

Section: Resultsmentioning

confidence: 99%

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Ab initiocalculations of transition amplitudes and hyperfineAandBconstants of Ga iii

et al. 2013

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“…Here, we have employed highly correlated relativistic coupled-cluster (RCC) method based on the Dirac-Coulomb-Gaunt Hamiltonian to generate the ground and different excited states [35] of In III. With respect to the other well known theories, the coupled cluster theory has the potential of taking electron correlation in an exhaustive way [3,36]. The various kind of many body effects like core correlation, core polarization and pair correlation are also studied in the framework of the present RCC theory in the calculations of the hyperfine constants.…”

Section: Introductionmentioning

confidence: 99%

Relativistic coupled-cluster calculations on hyperfine structures and electromagnetic transition amplitudes of In iii

2014

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Hyperfine constants and anomalies of ground as well as few low lying excited states of 113,115,117 In III are studied with highly correlated relativistic coupled-cluster theory. The ground state hyperfine splitting of 115 In III is estimated to be 106.8 GHz. A shift of almost 1.9 GHz of the above frequency has been calculated due to modified nuclear dipole moment. This splitting result shows its applicability as communication band and frequency standards at 10 −11 sec. Correlations study of hyperfine constants indicates a few distinct features of many-body effects in the wave-functions in and near the nuclear region of this ion. Astrophysically important forbidden transition amplitudes are estimated for the first time in the literature to our knowledge. The calculated oscillator strengths of few allowed transitions are compared with recent experimental and theoretical results wherever available.

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“…The description of the oscillator strength (dimensionless) and transition probabilities (in s −1 ) for the electric dipole (E1), electric quadrupole (E2) and magnetic dipole (M 1) transitions are given elsewhere (Dutta & Majumder 2011;Roy et al 2014;Dixit et al 2007b). The lifetime τ k→i of a transition can be calculated by considering all possible channels of emissions through E1, E2 and M 1 transitions from the state k to the state i,…”

Section: Theorymentioning

confidence: 99%

Precise Calculations of Astrophysically Important Allowed and Forbidden Transitions of Xe viii

Bhowmik

Dutta

Roy

2017

ApJ

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The present work reports transition line parameters for Xe VIII, which are potentially important for astrophysics in view of recent observations of multiply ionized xenon in hot white dwarfs. The relativistic coupled-cluster method is employed here to calculate the E1, E2, and M 1 transition line parameters with high accuracy. The E1 oscillator strengths and probabilities of E2 and M 1 transitions are determined using theoretical amplitudes and experimental energy values. The calculated branching ratios and the lifetimes are supplemented to the transition parameters. Accurate presentation of these calculated data is crucial for density estimation in several stellar and inter-stellar media.

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Accurate Estimations of Stellar and Interstellar Transition Lines of Triply Ionized Germanium

Cited by 14 publications

References 29 publications

Ab initiocalculations of transition amplitudes and hyperfineAandBconstants of Ga iii

Ab initiocalculations of transition amplitudes and hyperfineAandBconstants of Ga iii

Relativistic coupled-cluster calculations on hyperfine structures and electromagnetic transition amplitudes of In iii

Precise Calculations of Astrophysically Important Allowed and Forbidden Transitions of Xe viii

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