Relativistic random-phase approximation calculation with negative energy states of nuclear polarization in muonic atoms

Haga, Akihiro; Horikawa, Yoko; Tanaka, Y.; Toki, H.

doi:10.1103/physrevc.69.044308

Cited by 9 publications

(8 citation statements)

References 28 publications

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“…It was found that the RRPA eigenstates with negative energy have a significant role, since the transverse form factors of these states become considerably large [4]. If antinucleons are deeply bound, the transverse response function has a contribution from the antinucleon states with an energy lower than twice the nucleon mass.…”

Section: Introductionmentioning

confidence: 99%

Relativistic Hartree approach with exact treatment of vacuum polarization for finite nuclei

et al. 2004

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We study the relativistic Hartree approach with an exact treatment of the vacuum polarization in the Walecka ͑-͒ model. The contribution from the vacuum polarization of the nucleon-antinucleon field to the source term of the meson fields is evaluated by performing the energy integrals of the Dirac Green function along the imaginary axis. With the present method of calculating the vacuum polarization in finite system, the total binding energies and charge radii of 16 O and 40 Ca can be reproduced. On the other hand, the level splittings in the single-particle level, in particular the spin-orbit splittings, are not described well because the inclusion of vacuum effect provides a large effective mass with small meson fields. We also show that the derivative expansion of the effective action is fairly useful for the estimation of the vacuum effect.

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Section: Introductionmentioning

confidence: 99%

Relativistic Hartree approach with exact treatment of vacuum polarization for finite nuclei

et al. 2004

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“…One should bear in mind possible complications in the special case of µ-208 Pb due to potential muonnuclear resonances; therefore, we suggest that the less intricate cases of muonic 90 Zr and 112 -124 Sn should be tackled first. The non-relativistic nuclear treatment in our calculations is justified by the excellent agreement between the non-relativistic seagull term and antinucleon NP contributions in light muonic atoms [16]. In addition, there is a general consistency between relativistic and non-relativistic approaches for a variety of nuclear phenomena [24][25][26].…”

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confidence: 64%

“…1 (b) and (c)). However, if noncommuting nuclear charge and current operators are employed, it can be shown that an additional contribution has to be included in order to ensure gauge invariance of the NP correction [15,16]. This additional term can be represented by the so-called seagull diagram (Fig.…”

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confidence: 99%

Evidence against nuclear polarization as source of fine-structure anomalies in muonic atoms

Valuev,

Colò,

Roca-Maza

et al. 2022

Preprint

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A long-standing problem of fine-structure anomalies in muonic atoms is revisited by considering the ∆2p splitting in muonic 90 Zr, 120 Sn and 208 Pb and the ∆3p splitting in muonic 208 Pb. State-ofthe-art techniques from both nuclear and atomic physics are brought together in order to perform the most comprehensive to date calculations of nuclear-polarization energy shifts. Barring the more subtle case of µ-208 Pb, the results suggest that the dominant calculation uncertainty is much smaller than the persisting discrepancies between theory and experiment. We conclude that the resolution to the anomalies is likely to be rooted in refined QED corrections or even some other previously unaccounted-for contributions.

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“…The present results are also consistent with the scattering analysis. In addition, it would be interesting to perform the analysis of anomaly in the nuclearpolarization corrections for the 90 Zr, 208 Pb, and Sn isotope by the present extended relativistic nuclear models; the nuclear-polarization correction is considerably sensitive to the EWSR strength and the anomaly seems to require the effective mass effect 16,17 . As regards the effect of the large effective mass, we will reconsider in the subsection of the giant quadrupole resonance.…”

Section: Ewsrmentioning

confidence: 99%

Relativistic mean-field model and random-phase approximation with vacuum polarization

et al. 2006

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The collective multipole excitations are studied in the framework of relativistic random-phase approximation with the vacuum polarization. First, we show for the nuclear ground state that the leading order of derivative expansion of the effective action arising from the vacuum correction agrees with the exact calculation using the Green function method very well. The derivative expansion makes us easy to perform a fully self-consistent calculation, even for the random-phase approximation. A remarkable effect of the inclusion of the vacuum polarization is the increase of the effective mass meff/mN ~ 0.9, which gives, for all multipole modes, smaller energy-weighted sum rule values than those of the typical relativistic model. Also, the large effective mass constrained by the vacuum polarization can give an excellent agreement with experimental data on the excitation energy for the isoscalar quadrupole resonances. It is shown, further, that the change of the shell structure due to the vacuum polarization plays an important role in the dipole compression modes.

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Relativistic random-phase approximation calculation with negative energy states of nuclear polarization in muonic atoms

Cited by 9 publications

References 28 publications

Relativistic Hartree approach with exact treatment of vacuum polarization for finite nuclei

Relativistic Hartree approach with exact treatment of vacuum polarization for finite nuclei

Evidence against nuclear polarization as source of fine-structure anomalies in muonic atoms

Relativistic mean-field model and random-phase approximation with vacuum polarization

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