Nuclear ground-state masses and deformations: FRDM(2012)

Nuclear ground-state masses and deformations: FRDM(2012)

August 13, 2015 | P. Möller, A. J. Sierk, T. Ichikawa, H. Sagawa
The paper presents the FRDM(2012) nuclear mass table, which is an updated version of the earlier FRDM(1992) mass table. The FRDM(2012) model improves upon the previous one by incorporating more accurate treatments of deformation and reducing the number of approximations needed due to limitations in computer power. The model is based on the finite-range droplet macroscopic model and the folded-Yukawa single-particle microscopic model. The results are obtained using a more accurate execution of the model and a more extensive and accurate experimental mass database, allowing for the determination of one additional macroscopic-model parameter, the density-symmetry coefficient L, which was previously set to zero. The FRDM(2012) mass table includes the atomic mass excesses and binding energies, ground-state shell-plus-pairing corrections, ground-state microscopic corrections, and nuclear ground-state deformations for 9318 nuclei ranging from $^{16}$O to A = 339. The error of the mass model is 0.5595 MeV for the entire region of nuclei included in the adjustment, but is only 0.3549 MeV for the region N ≥ 65. The FRLDM(2012) mass table, which is also presented, has an error of 0.6618 MeV, with 0.5181 MeV for nuclei with N ≥ 65, both somewhat larger than in the FRDM(2012). However, the FRLDM(2012) is suitable for studies of fission and has been extensively applied elsewhere with FRLDM(2002) constants. The FRLDM(2012) fits 31 fission barrier heights from $^{70}$Se to $^{252}$Cf with a root-mean-square deviation of 1.052 MeV. The paper also discusses the models used in the FRDM(2012) and FRLDM(2012), including the finite-range droplet model, the folded-Yukawa single-particle model, and the shell correction. The paper provides a detailed description of the models, the constants used, and the calculation details. It also discusses the results of the calculations, including the calculated ground-state masses and deformations, and some additional studies and discussions. The paper concludes with a summary of the results and the implications of the calculations for nuclear physics.The paper presents the FRDM(2012) nuclear mass table, which is an updated version of the earlier FRDM(1992) mass table. The FRDM(2012) model improves upon the previous one by incorporating more accurate treatments of deformation and reducing the number of approximations needed due to limitations in computer power. The model is based on the finite-range droplet macroscopic model and the folded-Yukawa single-particle microscopic model. The results are obtained using a more accurate execution of the model and a more extensive and accurate experimental mass database, allowing for the determination of one additional macroscopic-model parameter, the density-symmetry coefficient L, which was previously set to zero. The FRDM(2012) mass table includes the atomic mass excesses and binding energies, ground-state shell-plus-pairing corrections, ground-state microscopic corrections, and nuclear ground-state deformations for 9318 nuclei ranging from $^{16}$O to A = 339. The error of the mass model is 0.5595 MeV for the entire region of nuclei included in the adjustment, but is only 0.3549 MeV for the region N ≥ 65. The FRLDM(2012) mass table, which is also presented, has an error of 0.6618 MeV, with 0.5181 MeV for nuclei with N ≥ 65, both somewhat larger than in the FRDM(2012). However, the FRLDM(2012) is suitable for studies of fission and has been extensively applied elsewhere with FRLDM(2002) constants. The FRLDM(2012) fits 31 fission barrier heights from $^{70}$Se to $^{252}$Cf with a root-mean-square deviation of 1.052 MeV. The paper also discusses the models used in the FRDM(2012) and FRLDM(2012), including the finite-range droplet model, the folded-Yukawa single-particle model, and the shell correction. The paper provides a detailed description of the models, the constants used, and the calculation details. It also discusses the results of the calculations, including the calculated ground-state masses and deformations, and some additional studies and discussions. The paper concludes with a summary of the results and the implications of the calculations for nuclear physics.
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