Precision measurement of the RaE shape factor

Carles, A. Grau; Malonda, A. Grau

doi:10.1016/0375-9474(95)00381-9

Cited by 28 publications

(15 citation statements)

References 15 publications

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“…The time-independent Dirac equation (37) in radial coordinates is a differential equation of the following type:…”

Section: Computational Methods For the Spherically Symmetric Systemsmentioning

confidence: 99%

“…These equations are solved self-consistently similarly to the non-relativistic HF equations. Indeed, Equation (37) can be used also to find the nucleon eigenstates in the independent particle framework, by changing the interaction term to a suitable nucleon-nucleon potential. By changing the interaction potential, the calculation of the hadronic wavefunctions within the nuclear matrix elements can be performed.…”

Section: The Beta Decay Hamiltonian On a Real-space Gridmentioning

confidence: 99%

“…The solutions to the radial Dirac equation (37) with such Coulomb potential are analytical and can be found in ref. While the antineutrino wavefunction results unaffected, the electron wavefunction is modified by the potential.…”

Section: Spectral Lineshape Without and With Atomic Exchange Effectsmentioning

confidence: 99%

“…By modeling the nucleus as a point charge, the relevant potential is V N (r ) = − Z f r (Z f = 18 for 36 Cl). The solutions to the radial Dirac equation (37) with such Coulomb potential are analytical and can be found in ref. [31].…”

Section: Spectral Lineshape Without and With Atomic Exchange Effectsmentioning

confidence: 99%

“…The investigation of the influence of nuclear configuration mixing on the theoretical modeling of beta decay has been previously discussed by several authors (see e.g., ref. [] for 210 Bi or ref. [] for 36 Cl).…”

Section: Application Of Our Relativistic Approach To the Simulation Omentioning

confidence: 99%

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Relativistic Theory and Ab Initio Simulations of Electroweak Decay Spectra in Medium‐Heavy Nuclei and of Atomic and Molecular Electronic Structure

Morresi

Taioli

Simonucci

2018

Advcd Theory and Sims

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In this work a novel theoretical and computational method for computing electroweak beta decay spectra of medium and heavy-mass nuclei, as well as the electronic structure of atomic and molecular systems is developed. In particular, starting from the phenomenological electroweak interaction of the Standard Model (SM) of particles, a general expression of the beta decay rate was derived. Relativistic effects are taken into account by solving the many-electron Dirac equation from first-principles. Furthermore, an extension of this approach to include the nucleon-nucleon interaction at the same level of theory of the electronic correlations has been devised. It is shown that post-collisional effects, and to a lesser extent the electronic exchange and correlation, can modify significantly the cross-section only at low energies (<10 keV), while nuclear correlations considerably affect the lineshape of both the absorption and emission spectra particularly in odd-odd nuclear transitions, where the independent particle approximation, on which the nuclear shell model is framed, is more likely to fail. These findings demonstrate the importance of moving beyond the independent particle picture to obtain an accurate description of the experimental data by adding the many-body correlations between the spectator and participator hadrons and leptons involved in the decay. The application of our approach to a number of test cases, such as the modeling of beta decay of 36 Cl, 63 Ni, 129 I, 210 Bi, 241 Pu and of the electron capture of 138 La 3+ , leads to an extremely good agreement with the relevant experimental data. Finally, the extension of this method to atomic and molecular systems by calculating the electronic structures of 138 La 3+ and several isomers (MgCN, MgNC) and molecules (HMgCN, MgCNO, and BrCF 3 ) relevant to astrophysical scenarios is presented. This method, which is capable to deal with both nucleonic and electronic degrees of freedom, has far-reaching implications also in neutrino physics and nuclear astrophysics. 1800086 (23 of 24) www.advancedsciencenews.com www.advtheorysimul.com Keywords Dirac equation, electronic structure simulations, nuclear beta decay, nuclear many-body effects, standard model Hamiltonian

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“…The time-independent Dirac equation (37) in radial coordinates is a differential equation of the following type:…”

Section: Computational Methods For the Spherically Symmetric Systemsmentioning

confidence: 99%

Section: The Beta Decay Hamiltonian On a Real-space Gridmentioning

confidence: 99%

Section: Spectral Lineshape Without and With Atomic Exchange Effectsmentioning

confidence: 99%

Section: Spectral Lineshape Without and With Atomic Exchange Effectsmentioning

confidence: 99%

Section: Application Of Our Relativistic Approach To the Simulation Omentioning

confidence: 99%

See 3 more Smart Citations

Relativistic Theory and Ab Initio Simulations of Electroweak Decay Spectra in Medium‐Heavy Nuclei and of Atomic and Molecular Electronic Structure

Morresi

Taioli

Simonucci

2018

Advcd Theory and Sims

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Measurement of the pep and CNO Solar Neutrino Interaction Rates in Borexino

Davini¹

2014

Springer Theses

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Measurement of the pep and CNO Solar Neutrino Interaction Rates in Borexino

Davini¹

2013

Measurement of the Pep and CNO Solar Neutrino Interaction Rates in Borexino

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Precision measurement of the RaE shape factor

Cited by 28 publications

References 15 publications

Relativistic Theory and Ab Initio Simulations of Electroweak Decay Spectra in Medium‐Heavy Nuclei and of Atomic and Molecular Electronic Structure

Relativistic Theory and Ab Initio Simulations of Electroweak Decay Spectra in Medium‐Heavy Nuclei and of Atomic and Molecular Electronic Structure

Measurement of the pep and CNO Solar Neutrino Interaction Rates in Borexino

Measurement of the pep and CNO Solar Neutrino Interaction Rates in Borexino

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