Muonic atom and antinucleonic atom October 1 2003
Muonic atom and anti-nucleonic atom October 1, 2003 Akihiro Haga Workshop in RCNP
muon
○Measured muonic transition in 208 Pb. Δ 2 p splitting 184. 788(27) ke. V. Δ 3 p splitting 47. 197(45) ke. V. At PSI.
○Experimental Allowable Regions of Nuclear Polarization Y. Yamazaki et al. Phys. Rev. Lett. 42 1470(1979) Values of the experimental NP correction Enp are determined by minimizing the χ2 function.
○Experimental Nuclear Polarization in muonic 208 Pb Δ 3 p Δ 2 p P. Bergem et al. Phys. Rev. C, 37 2821(1988)
○Feynman diagrams for nuclear polarization in lowest order
○Nuclear Polarization Formula
○Relativistic correction
○Total nuclear polarization (e. V) in muonic 208 Pb States Feynman gauge Coulomb NP 1 s 1/2 -4470 -4466 -4231 2 s 1/2 -882 -878 -831 2 p 1/2 -1685 -1859 2 p 3/2 -1656 -1683 3 p 1/2 -501 -502 -564 3 p 3/2 -554 -555 -561 3 d 3/2 -230 -255 3 d 5/2 -34 -33 -47 Haga et al. , Phys. Rev. A, 65, 052509 (2002)
○Anomaly in Δp splitting energies of muonic 208 Pb Δ 3 p Δ 2 p
○ QED corrections First order Second order
○ Relativistic treatment of nucleus ~ use of relativistic RPA ~ 250 Me. V with negative states 250 Me. V without negative states
○ Nuclear polarization in muonic 16 O (e. V)
○ Nuclear form factors for isoscalar 1 - state -1 -Ge. V state 8 -Me. V state
○ Energy-weighted sums of B(Eλ)(e2 bλ・Me. V) in 16 O Classical sum rule
○ Relativistic picture of nucleus Proton single-particle states
○ Proton single-particle energies Me. V m. N - m. N Parameter set NLSH
○ Transition probability Coulomb states
G. Mao et al. nucl-th/112010
Particle-hole excitation – Vacuum correction Ordinary particle-hole excitation + Blocking effect
Ordinary particle-hole excitation Blocking effect
○Nuclear polarization in hydrogenlike 208 Pb Feynman Coulomb Haga et al. , Phys. Rev. A, 65, 052509 (2002)
○Nuclear polarization in muonic 208 Pb Feynman Coulomb Haga et al. , Phys. Rev. A, 66, 034501 (2002)
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