dorsal/arxiv
View SchemaA large Hilbert space QRPA and RQRPA calculation of neutrinoless double beta decay
| Authors | F. Simkovic, J. Schwieger, G. Pantis, Amand Faessler |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9708030 |
| URL | https://arxiv.org/abs/nucl-th/9708030 |
| DOI | 10.1007/BF02551528 |
| Journal | Found.Phys. 27 (1997) 1275 |
Abstract
A large Hilbert space is used for the calculation of the nuclear matrix elements governing the light neutrino mass mediated mode of neutrinoless double beta decay of Ge76, Mo100, Cd116, Te128 and Xe136 within the proton-neutron quasiparticle random phase approximation (pn-QRPA) and the renormalized QRPA with proton-neutron pairing (full-RQRPA) methods. We have found that the nuclear matrix elements obtained with the standard pn-QRPA for several nuclear transitions are extremely sensitive to the renormalization of the particle-particle component of the residual interaction of the nuclear hamiltonian. Therefore the standard pn-QRPA does not guarantee the necessary accuracy to allow us to extract a reliable limit on the effective neutrino mass. This behaviour, already known from the calculation of the two-neutrino double beta decay matrix elements, manifests itself in the neutrinoless double-beta decay but only if a large model space is used. The full-RQRPA, which takes into account proton-neutron pairing and considers the Pauli principle in an approximate way, offers a stable solution in the physically acceptable region of the particle-particle strength. In this way more accurate values on the effective neutrino mass have been deduced from the experimental lower limits of the half-lifes of neutrinoless double beta decay.
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"abstract": "A large Hilbert space is used for the calculation of the nuclear matrix\nelements governing the light neutrino mass mediated mode of neutrinoless double\nbeta decay of Ge76, Mo100, Cd116, Te128 and Xe136 within the proton-neutron\nquasiparticle random phase approximation (pn-QRPA) and the renormalized QRPA\nwith proton-neutron pairing (full-RQRPA) methods. We have found that the\nnuclear matrix elements obtained with the standard pn-QRPA for several nuclear\ntransitions are extremely sensitive to the renormalization of the\nparticle-particle component of the residual interaction of the nuclear\nhamiltonian. Therefore the standard pn-QRPA does not guarantee the necessary\naccuracy to allow us to extract a reliable limit on the effective neutrino\nmass. This behaviour, already known from the calculation of the two-neutrino\ndouble beta decay matrix elements, manifests itself in the neutrinoless\ndouble-beta decay but only if a large model space is used. The full-RQRPA,\nwhich takes into account proton-neutron pairing and considers the Pauli\nprinciple in an approximate way, offers a stable solution in the physically\nacceptable region of the particle-particle strength. In this way more accurate\nvalues on the effective neutrino mass have been deduced from the experimental\nlower limits of the half-lifes of neutrinoless double beta decay.",
"arxiv_id": "nucl-th/9708030",
"authors": [
"F. Simkovic",
"J. Schwieger",
"G. Pantis",
"Amand Faessler"
],
"categories": [
"nucl-th"
],
"doi": "10.1007/BF02551528",
"journal_ref": "Found.Phys. 27 (1997) 1275",
"title": "A large Hilbert space QRPA and RQRPA calculation of neutrinoless double beta decay",
"url": "https://arxiv.org/abs/nucl-th/9708030"
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