Phys.Rev. C 104, 044321 (2021)

F.Minato, T.Marketin, N.Paar

β-delayed neutron-emission and fission calculations within relativistic quasiparticle random-phase approximation and a statistical model

RADIOACTIVITY Z=8-110, N=11-209, A=19-318(β^-), (β^-n); calculated T_1/2, β^--delayed neutron emission (BDNE) branching ratios (P_0n, P_1n, P_2n, P_3n, P_4n, P_5n, P_6n, P_7n, P_8n, P_9n, P_10n), mean number of delayed neutrons per beta-decay, and average delayed neutron kinetic energy, total beta-delayed fission and α emission branching ratios for four fission barrier height models (ETFSI, FRDM, SBM, HFB-14). Z=93-110, N=184-200, A=224-318; calculated T_1/2, β^--delayed fission (BDF) branching ratios (P_0f, P_1f, P_2f, P_3f, P_4f, P_5f, P_6f, P_7f, P_8f, P_9f, P_10f), total beta-delayed fission and beta-delayed neutron emission branching ratios for four fission barrier height models ^140,162Sn; calculated β strength functions, β^--delayed neutron branching ratios from P_0n to P_10n by pn-RQRPA+HFM and pn-RQRPA methods. ^{137,138,139,140,156,157,158,159,160,161,162}Sb; calculated isotope production ratios as a function of excitation energy. ^{123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156}Pd, ^{120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159}Ag, ^{200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250}Os, ^{200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255}Ir; calculated β-delayed one neutron branching ratio P_1n by pn-RQRPA+HFM, pn-RQRPA, and FRDM+QRPA+HFM methods, and compared with available experimental data. ⁸⁹Br, ¹³⁸I; calculated β-delayed neutron spectrum by pn-RQRPA+HFM method, and compared with experimental spectra. ^{260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330}Fm; calculated fission barrier heights for HFB-14, FRDM, ETFSI and SBM models, mean numbers and mean energies of emitted β-delayed neutrons by pn-RQRPA+HFM and pn-RQRPA methods. ^{63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}Ni, ^{120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,161,162,163,164,165,166,167,168,169,170}Sn; calculated mean numbers and mean energies of emitted β-delayed neutrons by pn-RQRPA+HFM and pn-RQRPA methods. Z=70-110, N=120-190; calculated β^--delayed α branching ratios P_α (%) for FRDM fission barrier data. Fully self-consistent covariant density-functional theory (CDFT), with the ground states of all the nuclei calculated with the relativistic Hartree-Bogoliubov (RHB) model with the D3C^* interaction, and relativistic proton-neutron quasiparticle random-phase approximation (pn-RQRPA) for β strength functions, with particle evaporations and fission from highly excited nuclear states estimated by Hauser-Feshbach statistical model (pn-RQRPA+HFM) for four fission barrier height models (ETFSI, FRDM, SBM, HFB-14). Detailed tables of numerical data for β-delayed neutron emission (BDNE), β-delayed fission (BDF) and β-delayed α-particle emission branching ratios are given in the Supplemental Material of the paper.

doi: 10.1103/PhysRevC.104.044321