Self-energy correction to the energy levels of heavy muonic atoms
نویسندگان
چکیده
The fully relativistic calculations of the self-energy correction to fine-structure levels heavy muonic atoms for ground and first excited states are presented. Additionally, nuclear-model dependence as well numerical convergence issues discussed.
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Abstract. We describe atoms by a pseudo-relativistic model that has its origin in the work of Chandrasekhar. We prove that the leading energy correction for heavy atoms, the Scott correction, exists. It turns out to be lower than in the non-relativistic description of atoms. Our proof is valid up to and including the critical coupling constant. It is based on a renormalization of the energy who...
متن کاملThe Energy of Heavy Atoms According to Brown and Ravenhall: The Scott Correction
We consider relativistic many-particle operators which – according to Brown and Ravenhall – describe the electronic states of heavy atoms. Their ground state energy is investigated in the limit of large nuclear charge and velocity of light. We show that the leading quasi-classical behavior given by the Thomas-Fermi theory is raised by a subleading correction, the Scott correction. Our result is...
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ژورنال
عنوان ژورنال: Physical review research
سال: 2022
ISSN: ['2643-1564']
DOI: https://doi.org/10.1103/physrevresearch.4.l042040