Isobaric-multiplet mass equation in a macroscopic-microscopic approach

O. Klochko and N. A. Smirnova
Phys. Rev. C 103, 024316 – Published 16 February 2021

Abstract

We study the a, b, and c 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 a and b coefficients relatively well, while the staggering behavior of b 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 A=100. We conclude that while the agreement for a coefficients is quite satisfactory, the full approaches have less sensitivity to predict the IMME b and c coefficients in detail. The best set of theoretical b 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 A=100 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 rp process.

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  • Received 10 April 2020
  • Revised 5 October 2020
  • Accepted 19 January 2021

DOI:https://doi.org/10.1103/PhysRevC.103.024316

©2021 American Physical Society

Physics Subject Headings (PhySH)

Nuclear Physics

Authors & Affiliations

O. Klochko1,2,* and N. A. Smirnova3,†

  • 1The Haberdashers Askes Boys School, Butterfly Lane, Elstree, Hertfordshire WD6 3AF, United Kingdom
  • 2Department of Mechanical Engineering, University College London, Torrington Place, London WC1E 7JE, United Kingdom
  • 3CENBG (CNRS/IN2P3 - Université de Bordeaux), 33175 Gradignan Cedex, France

  • *zcemokl@ucl.ac.uk
  • smirnova@cenbg.in2p3.fr

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Vol. 103, Iss. 2 — February 2021

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