Competition Between Different Decay Modes of Lanthanides

We have studied the competition between different decay modes such as alpha decay, beta decay, electron capture and proton decay for lanthanide nuclei. This study enable us to identify the dominant decay mode. By studying the different decay properties, we have predicted 79 new isotopes in the lanthanide region. Twenty-four new β + emitting isotopes such as 119 , 120 , 122 C e , 120 - 125 N d , 126 - 128 , 130 S m , 132 - 134 , 136 G d , 145 T b , 136 - 138 , 140 D y , 143 H o , 145 E r and 148 Y b were identified. Also, 55 new β - emitting isotopes such as 157 - 160 L a , 159 - 162 C e , 161 - 164 P r , 163 - 166 N d , 164 - 167 P m , 167 - 170 S m , 169 - 171 E u , 171 - 174 G d , 173 - 176 T b , 174 - 177 D y , 176 - 179 H o , 177 - 180 E r , 182 - 183 T m , 148 , 186 Y b and 185 - 188 L u were identified. The predicted new isotopes have the decay energies in the range 4 MeV to 12 MeV and life times from few minutes to seconds. The predicted β - and β + decay emitters will find potential applications in the radiotherapy and diagnosis.