“…(3.13) to order 1/A. This accuracy is sufficient for extracting the Σ − magnetic moment from the spin-orbit splitting of the high-Z exotic atoms Pb-Σ − and W-Σ − [2]. In low-Z atoms such asp-3 He or K − -p the 1/A 2 corrections are important.…”
Section: Isotope Effect In Spin-orbit Interactionsmentioning
confidence: 96%
“…EC corrections to the charge density operator and therefore to the quadrupole moments and the neutron charge radius are of the order (v/c) 3 . In the framework 2 A subclass of Z-diagrams shown on Fig. 2(d) of Ref.…”
Section: Configuration Mixing Vs Two-body Exchange Currentsmentioning
confidence: 99%
“…The multipole moments of Ω − : μ = −2.02 n.m. [3,4], Q = −2.8 × 10 −2 fm 2 [23]. U [2] max is the maximum value over F of the root mean square of eigenvalues of the matrix elements F J |U [2] |F J , U [4] max is defined similarly. For 1 H, the strong decay width is given by Eq.…”
Section: Quadrupole-spin Contact P -Wave Interactionsmentioning
confidence: 99%
“…In Ref. [2], the Σ − magnetic moment has been measured from fine structure in Σ − exotic atoms. In exotic atoms, the isotope effect becomes important.…”
Section: Isotope Effect In Spin-orbit Interactionsmentioning
confidence: 99%
“…Such method has been successful in extracting experimentally the magnetic moment of the Σ − -hyperon from fine splitting in Σ − exotic atoms [2]. The Ω − magnetic moment has been measured with high precision, however, by other techniques [3,4].…”
Contact P -wave interactions connected to the Larmor interaction of a magnetic dipole and Thomas spin precession in the filed of an electric quadrupole are described and their implications for spectroscopy of exotic Ω − -atoms are studied. In order to evaluate the magnitude of the contact P -wave interactions as compared to the conventional long-range interactions and the sensitivity of spectroscopic data to the Ω − -hyperon quadrupole moment, we consider 2P states of Ω − atoms formed with light stable nuclei with spins I 1/2 and atomic numbers Z 10. The energy level splitting caused by the contact interactions is 2-5 orders of magnitude smaller than the conventional long-range interactions. Strong decay widths of pΩ − atoms due to reactions pΩ − → ΛΞ 0 and pΩ − → ΣΞ , induced by t-channel kaon exchanges, are calculated. Ω − atoms formed with the light nuclei have strong widths 5-6 orders of magnitude higher than splitting caused by the contact interactions. The low-L pattern in the energy spectra of intermediate-and high-Z Ω − atoms thus cannot be observed. The Ω − quadrupole moment can be measured by observing X-rays from circular transitions between high-L levels in Ω − exotic atoms. The effect of strong interactions in 208 PbΩ − atoms is negligible starting from L ∼ 10. The contact P -wave interactions exist in ordinary atoms and μ-meson atoms.
“…(3.13) to order 1/A. This accuracy is sufficient for extracting the Σ − magnetic moment from the spin-orbit splitting of the high-Z exotic atoms Pb-Σ − and W-Σ − [2]. In low-Z atoms such asp-3 He or K − -p the 1/A 2 corrections are important.…”
Section: Isotope Effect In Spin-orbit Interactionsmentioning
confidence: 96%
“…EC corrections to the charge density operator and therefore to the quadrupole moments and the neutron charge radius are of the order (v/c) 3 . In the framework 2 A subclass of Z-diagrams shown on Fig. 2(d) of Ref.…”
Section: Configuration Mixing Vs Two-body Exchange Currentsmentioning
confidence: 99%
“…The multipole moments of Ω − : μ = −2.02 n.m. [3,4], Q = −2.8 × 10 −2 fm 2 [23]. U [2] max is the maximum value over F of the root mean square of eigenvalues of the matrix elements F J |U [2] |F J , U [4] max is defined similarly. For 1 H, the strong decay width is given by Eq.…”
Section: Quadrupole-spin Contact P -Wave Interactionsmentioning
confidence: 99%
“…In Ref. [2], the Σ − magnetic moment has been measured from fine structure in Σ − exotic atoms. In exotic atoms, the isotope effect becomes important.…”
Section: Isotope Effect In Spin-orbit Interactionsmentioning
confidence: 99%
“…Such method has been successful in extracting experimentally the magnetic moment of the Σ − -hyperon from fine splitting in Σ − exotic atoms [2]. The Ω − magnetic moment has been measured with high precision, however, by other techniques [3,4].…”
Contact P -wave interactions connected to the Larmor interaction of a magnetic dipole and Thomas spin precession in the filed of an electric quadrupole are described and their implications for spectroscopy of exotic Ω − -atoms are studied. In order to evaluate the magnitude of the contact P -wave interactions as compared to the conventional long-range interactions and the sensitivity of spectroscopic data to the Ω − -hyperon quadrupole moment, we consider 2P states of Ω − atoms formed with light stable nuclei with spins I 1/2 and atomic numbers Z 10. The energy level splitting caused by the contact interactions is 2-5 orders of magnitude smaller than the conventional long-range interactions. Strong decay widths of pΩ − atoms due to reactions pΩ − → ΛΞ 0 and pΩ − → ΣΞ , induced by t-channel kaon exchanges, are calculated. Ω − atoms formed with the light nuclei have strong widths 5-6 orders of magnitude higher than splitting caused by the contact interactions. The low-L pattern in the energy spectra of intermediate-and high-Z Ω − atoms thus cannot be observed. The Ω − quadrupole moment can be measured by observing X-rays from circular transitions between high-L levels in Ω − exotic atoms. The effect of strong interactions in 208 PbΩ − atoms is negligible starting from L ∼ 10. The contact P -wave interactions exist in ordinary atoms and μ-meson atoms.
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