Proton radioactivity within the generalized liquid drop model with various versions of proximity potentials

Yu-Qi Xin,Jun-Gang Deng,Hong-Fei Zhang

Table 2. The logarithmic values of the proton radioactive half-lives derived when the proximity potential Prox.77-13 is applied to the GLDM, together with the corresponding results when the original version of the proximity potential is used. Elements with upper prefixes 'm'and 'n'represent the order of the excited isomeric states. '()'denotes the spin and/or parity is indeterminate. '#'means these values are estimated from the tendency of neighboring nuclides having the same Z and N parities. The experimental half-lives, spin/parity, and the proton radioactivity energies of the spherical proton emitters are taken from the NUBASE2016 [49]. All proton radioactivity half-lives and energies are in units of 's'and 'MeV’.

Proton Daughter ${j}_{p}^{\pi }$ ${j}_{d}^{\pi }$ Qp ${l}_{\min }$ ${\mathrm{log}}_{10}{T}_{1/2}^{\exp }$ ${\mathrm{log}}_{10}{T}_{1/2}^{77-13}$ ${\mathrm{log}}_{10}{T}_{1/2}^{\mathrm{Ori}}$ 145Tm 144Er (11/2−) 0+ 1.741 5 −5.498 94 −6.024 20 −6.088 03 146Tm 145Er (1+) 1/2+# 0.891 0 −0.809 67 −0.744 90 −0.833 77 146mTm 145Er (5−) 1/2+# l.201 5 −1.124 94 −1.365 37 −1.429 20 147Tm 146Er 11/2− 0+ 1.059 5 0.572 87 0.406 40 0.341 77 147mTm 146Er 3/2+ 0+ 1.120 2 −3.443 70 −3.322 00 −3.405 65 150mLu 149Yb (1+, 2+) (1/2+) 1.291 2 −4.397 94 −4.683 97 −4.762 38 151mLu 150Yb (3/2+) 0+ 1.291 2 −4.782 52 −4.693 05 −4.772 86 155Ta 154Hf (11/2−) 0+ 1.451 5 −2.494 85 −2.930 10 −2.989 59 156Ta 155Hf (2−) 7/2−# 1.021 2 −0.826 81 −0.726 51 −0.802 13 156mTa 155Hf (9+) 7/2−# 1.111 5 0.923 76 0.830 10 0.770 23 157Ta 156Hf 1/2+ 0+ 0.941 0 −0.528 71 −0.211 58 −0.294 78 160Re 159W (4−) 7/2−# 1.271 0 −3.163 68 −4.121 50 −4.199 74 161Re 160W 1/2+ 0+ 1.201 0 −3.356 55 −3.310 40 −3.389 68 161mRe 160W 11/2− 0+ 1.321 5 −0.679 85 −1.174 20 −1.232 43 165mIr 164Os (11/2−) 0+ 1.721 5 −3.429 46 −4.294 27 −4.350 21 166Ir 165Os (2−) (7/2−) 1.161 2 −0.841 64 −1.484 46 −1.554 32 166mIr 165Os (9+) (7/2−) 1.331 5 −0.090 44 −0.792 18 −0.848 35 167Ir 166Os 1/2+ 0+ 1.071 0 −1.127 84 −0.965 68 −1.042 01 167mIr 166Os 11/2− 0+ 1.246 5 0.778 15 0.175 67 0.118 72 170Au 169Pt (2−) (7/2−) 1.471 2 −3.488 12 −4.386 11 −4.452 73 170mAu 169Pt (9+) (7/2−) 1.751 5 −2.974 69 −4.109 69 −4.163 58 171Au 170Pt (1/2+) 0+ 1.448 0 −4.651 70 −4.879 26 −4.952 22 171mAu 170Pt 11/2− 0+ 1.702 5 −2.586 70 −3.740 66 −3.795 34 176Tl 175Hg (3−, 4−, 5−) (7/2−) 1.261 0 −2.207 61 −2.306 56 −2.375 19 177Tl 176Hg (1/2+) 0+ 1.155 0 −1.178 49 −0.929 37 −0.998 74 177mTl 176Hg (11/2−) 0+ 1.962 5 −3.459 67 −5.190 03 −5.246 75 185mBi 184Pb 1/2+ 0+ 1.607 0 −4.191 79 −5.352 62 −5.423 39