Abstract
We study the , , and coefficients of the isobaric-multiplet mass equation (IMME) using a macroscopic-microscopic approach developed by P. Möller and collaborators [At. Data Nucl. Data Tables 59, 185 (1995); At. Data Nucl. Data Tables 109-110, 1 (2016)]. We show that already the macroscopic part of the finite-range liquid-drop model (FRLDM) describes the general trend of the and coefficients relatively well, while the staggering behavior of coefficients for doublets and quartets can be understood in terms of the difference of average proton and neutron pairing energies. The sets of isobaric masses, predicted by the full macroscopic-microscopic approaches, are used to explore the general trends of IMME coefficients up to . We conclude that while the agreement for coefficients is quite satisfactory, the full approaches have less sensitivity to predict the IMME and coefficients in detail. The best set of theoretical coefficients, as given by the modified macroscopic part of the FRLDM, is used to predict masses of proton-rich nuclei based on the known experimental masses of neutron-rich mirror partners, and subsequently to investigate their one- and two-proton separation energies in proton-rich nuclei up to the region. The estimated position of the proton drip line is in fair agreement with known experimental data. These masses are important for simulations of the astrophysical process.
2 More- Received 10 April 2020
- Revised 5 October 2020
- Accepted 19 January 2021
DOI:https://doi.org/10.1103/PhysRevC.103.024316
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