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<p>The isospin splitting of the Dirac mass obtained using the relativistic Brueckner–Hartree–Fock (RBHF) theory was thoroughly investigated. From the perspective in the full Dirac space, the long-standing controversy between the momentum-independent approximation (MIA) method and the projection method on the isospin splitting of the Dirac mass in asymmetric nuclear matter was analyzed in detail. We found that the <i>assumption procedure</i> of the MIA method, which assumes that single-particle potentials are momentum independent, is not a sufficient condition that directly leads to the opposite sign of the isospin splitting of the Dirac mass, whereas the <i>extraction procedure</i> of the MIA method, which extracts single-particle potentials from single-particle potential energy, changes the sign. A formal expression of the Dirac mass was obtained by approximately solving a set of equations involved in the <i>extraction procedure</i>. The opposite isospin splitting of the Dirac mass was mainly caused by the <i>extraction procedure</i>, which forcibly assumed that the momentum dependence of the single-particle potential energy was in a quadratic form, in which the strength was solely determined by a constant scalar potential. Improved understanding of the isospin splitting of the Dirac mass from ab initio calculations could enhance our knowledge of neutron-rich systems, such as exotic nuclei and neutron stars.</p>

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Isospin splitting of the Dirac mass probed using the relativistic Brueckner–Hartree–Fock theory

  • 期刊论文

  • 发表日期：

    2025年1月11日

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  • Pianpian Qin,
  • Qiang Zhao,
  • Hui Tong,
  • Chencan Wang,
  • Sibo Wang

摘要

The isospin splitting of the Dirac mass obtained using the relativistic Brueckner–Hartree–Fock (RBHF) theory was thoroughly investigated. From the perspective in the full Dirac space, the long-standing controversy between the momentum-independent approximation (MIA) method and the projection method on the isospin splitting of the Dirac mass in asymmetric nuclear matter was analyzed in detail. We found that the assumption procedure of the MIA method, which assumes that single-particle potentials are momentum independent, is not a sufficient condition that directly leads to the opposite sign of the isospin splitting of the Dirac mass, whereas the extraction procedure of the MIA method, which extracts single-particle potentials from single-particle potential energy, changes the sign. A formal expression of the Dirac mass was obtained by approximately solving a set of equations involved in the extraction procedure. The opposite isospin splitting of the Dirac mass was mainly caused by the extraction procedure, which forcibly assumed that the momentum dependence of the single-particle potential energy was in a quadratic form, in which the strength was solely determined by a constant scalar potential. Improved understanding of the isospin splitting of the Dirac mass from ab initio calculations could enhance our knowledge of neutron-rich systems, such as exotic nuclei and neutron stars.