dorsal/arxiv
View SchemaNuclear Physics of Double Beta Decay
| Authors | Petr Vogel |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9904065 |
| URL | https://arxiv.org/abs/nucl-th/9904065 |
Abstract
Study of the neutrinoless $\beta\beta$ decay allows us to put a stringent limit on the effective neutrino Majorana mass, a quantity of fundamental importance. To test our ability to evaluate the nuclear matrix elements that govern the decay rate, it is desirable to be able to describe the allowed two-neutrino decay. It is argued that only low-lying virtual intermediate states are important for that process, and thus it appears that the large-scale shell model evaluation, free from the various difficulties of QRPA, is the preferred method. In the $0\nu$ decay, it is shown that there is a substantial cancellation between the paired and broken pair pieces of the nuclear wave function. Thus, despite the popular claim to the contrary, one expects that the $0\nu$ rate is also sensitive to the details of nuclear structure. This is reflected in the spread of the theoretical values, leading to the uncertainty of about factor 2-3 in the deduced $<m_{\nu}>$ limit. Finally, brief comment about the $0\nu$ decay with the exchange of a very heavy neutrino are made.
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"abstract": "Study of the neutrinoless $\\beta\\beta$ decay allows us to put a stringent\nlimit on the effective neutrino Majorana mass, a quantity of fundamental\nimportance. To test our ability to evaluate the nuclear matrix elements that\ngovern the decay rate, it is desirable to be able to describe the allowed\ntwo-neutrino decay. It is argued that only low-lying virtual intermediate\nstates are important for that process, and thus it appears that the large-scale\nshell model evaluation, free from the various difficulties of QRPA, is the\npreferred method. In the $0\\nu$ decay, it is shown that there is a substantial\ncancellation between the paired and broken pair pieces of the nuclear wave\nfunction. Thus, despite the popular claim to the contrary, one expects that the\n$0\\nu$ rate is also sensitive to the details of nuclear structure. This is\nreflected in the spread of the theoretical values, leading to the uncertainty\nof about factor 2-3 in the deduced $\u003cm_{\\nu}\u003e$ limit. Finally, brief comment\nabout the $0\\nu$ decay with the exchange of a very heavy neutrino are made.",
"arxiv_id": "nucl-th/9904065",
"authors": [
"Petr Vogel"
],
"categories": [
"nucl-th"
],
"title": "Nuclear Physics of Double Beta Decay",
"url": "https://arxiv.org/abs/nucl-th/9904065"
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