Antiprotonic atoms with nonperturbative inclusion of vacuum polarization and finite nuclear mass

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F25%3A10508332" target="_blank" >RIV/00216208:11320/25:10508332 - isvavai.cz</a>

Výsledek na webu

<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=olrnqdtEzX" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=olrnqdtEzX</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1103/82t6-y58b" target="_blank" >10.1103/82t6-y58b</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Antiprotonic atoms with nonperturbative inclusion of vacuum polarization and finite nuclear mass

Popis výsledku v původním jazyce

We demonstrate that energy levels of excited states in a hydrogenic system consisting of an arbitrary nucleus and an antiproton can be calculated within the framework of nonrelativistic quantum electrodynamics, even for a large nuclear charge Z. It is because for rotational states the expansion parameter is Z alpha/n. The main advantage of this approach is the possibility of exact inclusion of the finite nuclear mass, which we achieve up to the (Z alpha)(6) order. In addition, we include unperturbatively the one-loop and two-loop electron vacuum polarization (EVP) potentials in the nonrelativistic Hamiltonian, as well as in the leading relativistic correction. The obtained results for l &gt; 1 states of antiprotonic atoms with a spinless nucleus are the most accurate to date. We make available a user-friendly MATHEMATICA code for antiprotonic atoms PBARSPECTR, which can be further improved by combining EVP potentials with (Z alpha)(5) QED effects, by adding three-loop EVP, and by extending to an arbitrary nuclear spin. Finally, we note that rotational states of antiprotonic atoms can be used to determine the mean-square nuclear charge radius much more accurately than from electronic or muonic atoms.

Název v anglickém jazyce

Antiprotonic atoms with nonperturbative inclusion of vacuum polarization and finite nuclear mass

Popis výsledku anglicky

We demonstrate that energy levels of excited states in a hydrogenic system consisting of an arbitrary nucleus and an antiproton can be calculated within the framework of nonrelativistic quantum electrodynamics, even for a large nuclear charge Z. It is because for rotational states the expansion parameter is Z alpha/n. The main advantage of this approach is the possibility of exact inclusion of the finite nuclear mass, which we achieve up to the (Z alpha)(6) order. In addition, we include unperturbatively the one-loop and two-loop electron vacuum polarization (EVP) potentials in the nonrelativistic Hamiltonian, as well as in the leading relativistic correction. The obtained results for l &gt; 1 states of antiprotonic atoms with a spinless nucleus are the most accurate to date. We make available a user-friendly MATHEMATICA code for antiprotonic atoms PBARSPECTR, which can be further improved by combining EVP potentials with (Z alpha)(5) QED effects, by adding three-loop EVP, and by extending to an arbitrary nuclear spin. Finally, we note that rotational states of antiprotonic atoms can be used to determine the mean-square nuclear charge radius much more accurately than from electronic or muonic atoms.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

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OECD FORD obor

10300 - Physical sciences

Projekt

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Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2025

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Physical review A

ISSN

2469-9926

e-ISSN

2469-9934

Svazek periodika

112

Číslo periodika v rámci svazku

5

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

8

Strana od-do

052808

Kód UT WoS článku

001619381700001

EID výsledku v databázi Scopus

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