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Search for Neutrinoless Quadruple- <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>β</mml:mi></mml:mrow></mml:math> Decay of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi>Nd</mml:mi></mml:mrow><mml:mprescripts /><mml:none /><mml:mrow><mml:mn>150</mml:mn></mml:mrow></mml:mmultiscripts></mml:mrow></mml:math> with the NEMO-3 Detector

Search for Neutrinoless Quadruple- <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>β</mml:mi></mml:mrow></mml:math> Decay of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi>Nd</mml:mi></mml:mrow><mml:mprescripts /><mml:none /><mml:mrow><mml:mn>150</mml:mn></mml:mrow></mml:mmultiscripts></mml:mrow></mml:math> with the NEMO-3 Detector

We report the results of a first experimental search for lepton number violation by four units in the neutrinoless quadruple-$\beta$ decay of $^{150}$Nd using a total exposure of $0.19$ kg$\cdot$y recorded with the NEMO-3 detector at the Modane Underground Laboratory (LSM). We find no evidence of this decay and set …