Neutrinoless double- $\beta$ decay of Sn 124, Te 130, and Xe 136 in the Hamiltonian-based generator-coordinate method. Jiao, C. F., Horoi, M., & Neacsu, A. Physical Review C, 98(6):64324, dec, 2018. ![Neutrinoless double- $\beta$ decay of Sn 124, Te 130, and Xe 136 in the Hamiltonian-based generator-coordinate method [link]](https://bibbase.org/img/filetypes/link.svg "link")
Paper doi abstract bibtex We present a generator-coordinate method for realistic shell-model Hamiltonians that closely approximates the full shell model calculations of the matrix elements for the neutrinoless double-$\beta$ decay of Sn124, Te130, and Xe136. We treat not only quadrupole deformations but also the proton-neutron pairing amplitudes as generator coordinates. We validate this method by calculating and comparing spectroscopic quantities with the exact shell model results and experimental data. Our Hamiltonian-based generator-coordinate method produces 0$\nu$$\beta$$\beta$ matrix elements much closer to the shell model ones, compared to the existing energy-density-functional-based generator-coordinate approaches. The remaining overestimation of 0$\nu$$\beta$$\beta$ nuclear matrix element suggests that additional correlations may be needed to be taken into account for Sn124, Te130, and Xe136 when calculating with the Hamiltonian-based generator-coordinate method. The validation of this method may open the possibility of calculating 0$\nu$$\beta$$\beta$ matrix element of Nd150 in a large shell-model space.
@article{jiao_neutrinoless_2018,
abstract = {We present a generator-coordinate method for realistic shell-model Hamiltonians that closely approximates the full shell model calculations of the matrix elements for the neutrinoless double-$\beta$ decay of Sn124, Te130, and Xe136. We treat not only quadrupole deformations but also the proton-neutron pairing amplitudes as generator coordinates. We validate this method by calculating and comparing spectroscopic quantities with the exact shell model results and experimental data. Our Hamiltonian-based generator-coordinate method produces 0$\nu$$\beta$$\beta$ matrix elements much closer to the shell model ones, compared to the existing energy-density-functional-based generator-coordinate approaches. The remaining overestimation of 0$\nu$$\beta$$\beta$ nuclear matrix element suggests that additional correlations may be needed to be taken into account for Sn124, Te130, and Xe136 when calculating with the Hamiltonian-based generator-coordinate method. The validation of this method may open the possibility of calculating 0$\nu$$\beta$$\beta$ matrix element of Nd150 in a large shell-model space.},
annote = {Publisher: American Physical Society},
author = {Jiao, C. F. and Horoi, M. and Neacsu, A.},
doi = {10.1103/PhysRevC.98.064324},
issn = {24699993},
journal = {Physical Review C},
month = {dec},
number = {6},
pages = {64324},
title = {{Neutrinoless double- $\beta$ decay of Sn 124, Te 130, and Xe 136 in the Hamiltonian-based generator-coordinate method}},
url = {https://link.aps.org/doi/10.1103/PhysRevC.98.064324},
volume = {98},
year = {2018}
}
Downloads: 0
{"_id":"eqNCRpo79fcy8oPmd","bibbaseid":"jiao-horoi-neacsu-neutrinolessdoublebetadecayofsn124te130andxe136inthehamiltonianbasedgeneratorcoordinatemethod-2018","author_short":["Jiao, C. F.","Horoi, M.","Neacsu, A."],"bibdata":{"bibtype":"article","type":"article","abstract":"We present a generator-coordinate method for realistic shell-model Hamiltonians that closely approximates the full shell model calculations of the matrix elements for the neutrinoless double-$\\beta$ decay of Sn124, Te130, and Xe136. We treat not only quadrupole deformations but also the proton-neutron pairing amplitudes as generator coordinates. We validate this method by calculating and comparing spectroscopic quantities with the exact shell model results and experimental data. Our Hamiltonian-based generator-coordinate method produces 0$\\nu$$\\beta$$\\beta$ matrix elements much closer to the shell model ones, compared to the existing energy-density-functional-based generator-coordinate approaches. The remaining overestimation of 0$\\nu$$\\beta$$\\beta$ nuclear matrix element suggests that additional correlations may be needed to be taken into account for Sn124, Te130, and Xe136 when calculating with the Hamiltonian-based generator-coordinate method. The validation of this method may open the possibility of calculating 0$\\nu$$\\beta$$\\beta$ matrix element of Nd150 in a large shell-model space.","annote":"Publisher: American Physical Society","author":[{"propositions":[],"lastnames":["Jiao"],"firstnames":["C.","F."],"suffixes":[]},{"propositions":[],"lastnames":["Horoi"],"firstnames":["M."],"suffixes":[]},{"propositions":[],"lastnames":["Neacsu"],"firstnames":["A."],"suffixes":[]}],"doi":"10.1103/PhysRevC.98.064324","issn":"24699993","journal":"Physical Review C","month":"dec","number":"6","pages":"64324","title":"Neutrinoless double- $\\beta$ decay of Sn 124, Te 130, and Xe 136 in the Hamiltonian-based generator-coordinate method","url":"https://link.aps.org/doi/10.1103/PhysRevC.98.064324","volume":"98","year":"2018","bibtex":"@article{jiao_neutrinoless_2018,\nabstract = {We present a generator-coordinate method for realistic shell-model Hamiltonians that closely approximates the full shell model calculations of the matrix elements for the neutrinoless double-$\\beta$ decay of Sn124, Te130, and Xe136. We treat not only quadrupole deformations but also the proton-neutron pairing amplitudes as generator coordinates. We validate this method by calculating and comparing spectroscopic quantities with the exact shell model results and experimental data. Our Hamiltonian-based generator-coordinate method produces 0$\\nu$$\\beta$$\\beta$ matrix elements much closer to the shell model ones, compared to the existing energy-density-functional-based generator-coordinate approaches. The remaining overestimation of 0$\\nu$$\\beta$$\\beta$ nuclear matrix element suggests that additional correlations may be needed to be taken into account for Sn124, Te130, and Xe136 when calculating with the Hamiltonian-based generator-coordinate method. The validation of this method may open the possibility of calculating 0$\\nu$$\\beta$$\\beta$ matrix element of Nd150 in a large shell-model space.},\nannote = {Publisher: American Physical Society},\nauthor = {Jiao, C. F. and Horoi, M. and Neacsu, A.},\ndoi = {10.1103/PhysRevC.98.064324},\nissn = {24699993},\njournal = {Physical Review C},\nmonth = {dec},\nnumber = {6},\npages = {64324},\ntitle = {{Neutrinoless double- $\\beta$ decay of Sn 124, Te 130, and Xe 136 in the Hamiltonian-based generator-coordinate method}},\nurl = {https://link.aps.org/doi/10.1103/PhysRevC.98.064324},\nvolume = {98},\nyear = {2018}\n}\n","author_short":["Jiao, C. F.","Horoi, M.","Neacsu, A."],"key":"jiao_neutrinoless_2018","id":"jiao_neutrinoless_2018","bibbaseid":"jiao-horoi-neacsu-neutrinolessdoublebetadecayofsn124te130andxe136inthehamiltonianbasedgeneratorcoordinatemethod-2018","role":"author","urls":{"Paper":"https://link.aps.org/doi/10.1103/PhysRevC.98.064324"},"metadata":{"authorlinks":{}}},"bibtype":"article","biburl":"https://cloud.swalk.xyz/bebop/bibtex.bib","dataSources":["7fTi5NtYYKwjPXfpu"],"keywords":[],"search_terms":["neutrinoless","double","beta","decay","124","130","136","hamiltonian","based","generator","coordinate","method","jiao","horoi","neacsu"],"title":"Neutrinoless double- $\\beta$ decay of Sn 124, Te 130, and Xe 136 in the Hamiltonian-based generator-coordinate method","year":2018}