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arxiv: 1508.02097 · v2 · pith:OKCM3JJWnew · submitted 2015-08-09 · ⚛️ nucl-th

Partial restoration of isospin symmetry for neutrinoless double beta decay in the deformed nuclear system of ¹⁵⁰Nd

classification ⚛️ nucl-th
keywords elementsmatrixbetadecaydeformedisospinphysrestoration
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In this work, we calculate the matrix elements of $0\nu\beta\beta$-decay of $^{150}$Nd with the deformed pn-QRPA method. We adopted the approach introduced by Rodin, Faessler [Phys. Rev. C84, 014322 (2011)] and Simkovic {\it et. al.} [Phys. Rev. C87,045501(2013)] to restore the isospin symmetry by enforcing $M^{2\nu}_F=0$. We found that with this restoration, the Fermi matrix elements are reduced by about 30\% while the more important Gamow-Teller matrix elements remains the same. The results of an enlarged model space is also presented, which changes the matrix elements by less than 10\%.

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