Reanalysis of muonic {sup 90}Zr and {sup 208}Pb atoms

Muonic transition energies in lowlying {mu}{sup -}-{sup 90}Zr and {mu}{sup -}-{sup 208}Pb states are reanalyzed by using nuclear polarization with the full-electromagnetic nuclear response. The possibility of the observed enhancement of the energy-weighted sum rule is also considered in the analysis. The transverse part of the nuclear polarization and the enhancement effect play an important role in improving the fine structure splitting of muonic p-states in both nuclei. Furthermore, introducing a pygmy dipole resonance in the excitation spectrum, the final fit drastically improves in {sup 208}Pb. However, there remains a discrepancy in {sup 90}Zr, for which the structure of the nuclear excitation spectrum is insensitive to the nuclear-polarization energy shift. Therefore, the remaining discrepancy might be caused by effects other than the nuclear polarization.

[1]  P. Ring,et al.  β-decay rates of r-process nuclei in the relativistic quasiparticle random phase approximation , 2004, nucl-th/0412028.

[2]  D. Youngblood,et al.  Compression mode resonances in Zr 90 , 2004 .

[3]  D. Youngblood,et al.  IsoscalarE0−E3strength inSn116,Sm144,Sm154, andPb208 , 2004 .

[4]  M. Hare,et al.  Measurement of the negative muon anomalous magnetic moment to 0.7 ppm. , 2002, Physical review letters.

[5]  A. Haga,et al.  Gauge invariant evaluation of nuclear polarization with the collective model , 2002, physics/0209088.

[6]  A. Haga,et al.  Nuclear polarization in muonic 208Pb , 2002 .

[7]  A. Haga,et al.  Nuclear polarization in hydrogenlike 82 208 Pb 8 1 , 2001, nucl-th/0110012.

[8]  P. Reinhard.  Skyrme forces and giant resonances in exotic nuclei , 1999 .

[9]  D. Youngblood,et al.  Incompressibility of Nuclear Matter from the Giant Monopole Resonance , 1999 .

[10]  H Germany,et al.  Recoil correction to the ground-state energy of hydrogenlike atoms. , 1997, physics/9711026.

[11]  V. Shabaev.  QED theory of the nuclear recoil effect in atoms , 1997, physics/9705039.

[12]  Peter J. Mohr,et al.  QED corrections in heavy atoms , 1998 .

[13]  H. Toki,et al.  Giant resonances in the relativistic RPA with non-linear interactions , 1997 .

[14]  E. Browne.  Nuclear Data Sheets for A = 90☆ , 1997 .

[15]  D. Youngblood.  Monopole resonance strengths in 58 Ni and 208 Pb , 1997 .

[16]  Beier,et al.  Second-order self-energy-vacuum-polarization contributions to the Lamb shift in highly charged few-electron ions. , 1996, Physical review. A, Atomic, molecular, and optical physics.

[17]  G. Soff,et al.  Vacuum polarization - nuclear polarization corrections to the Lamb shift in heavy atoms , 1996 .

[18]  V. Shabaev,et al.  Relativistic nuclear recoil corrections to the energy levels of hydrogenlike and high-Z lithiumlike atoms in all orders in alpha Z. , 1995, Physical review. A, Atomic, molecular, and optical physics.

[19]  L. Kramer,et al.  Isovector giant quadrupole resonance observed in [sup 89]Y([ital [rvec p]],[gamma])[sup 90]Zr , 1994 .

[20]  B. Barnes,et al.  Scaling of single ionization cross sections of molecules with the charge of fast projectiles , 1994 .

[21]  Lindgren,et al.  Bound-state self-energy calculation using partial-wave renormalization. , 1993, Physical Review A. Atomic, Molecular, and Optical Physics.

[22]  Y. Horikawa,et al.  Transverse nuclear polarization in muonic 208Pb , 1992 .

[23]  Greiner,et al.  Nuclear polarization in heavy atoms and superheavy quasiatoms. , 1991, Physical review. A, Atomic, molecular, and optical physics.

[24]  Rost,et al.  Nonspectral Dirac random-phase approximation for finite nuclei. , 1989, Physical review. C, Nuclear physics.

[25]  Rost,et al.  Finite nucleus Dirac mean field theory and random phase approximation using finite B splines. , 1989, Physical review. C, Nuclear physics.

[26]  Greiner,et al.  Nuclear polarization contribution to the Lamb shift in heavy atoms. , 1989, Physical review. A, General physics.

[27]  Schneuwly,et al.  Nuclear polarization and charge moments of 208Pb from muonic x rays. , 1988, Physical review. C, Nuclear physics.

[28]  Bowman,et al.  Measurements on isovector giant resonances in pion charge exchange. , 1986, Physical review. C, Nuclear physics.

[29]  V. Shabaev.  Mass corrections in a strong nuclear field , 1985 .

[30]  G. Walker,et al.  The electric dipole sum rule in a relativistic self-consistent theory of finite nuclei , 1985 .

[31]  Cooper,et al.  Properties of the isovector monopole and other giant resonances in pion charge exchange , 1984 .

[32]  E. Borie.  Vacuum polarization corrections and spin-orbit splitting in antiprotonic atoms , 1983 .

[33]  R. Rosenfelder.  Nuclear polarization shifts in light muonic atoms , 1983 .

[34]  L. Cardman,et al.  Elastic photon scattering between 9. 5 and 12 MeV in /sup 208/Pb and /sup 206/Pb , 1982 .

[35]  Z. Bell,et al.  Fine structure in the 208 Pb photoneutron cross section between 9.9 and 11.2 MeV , 1982 .

[36]  E. Borie,et al.  The energy levels of muonic atoms , 1982 .

[37]  W. Knüpfer,et al.  Electroexcitation of 208Pb, distribution of electric dipole and quadrupole strength and fragmentation of the isoscalar quadrupole giant resonance , 1981 .

[38]  H. Wohlfahrt,et al.  Discrepancy between theory and experiment in nuclear polarization corrections of muonic /sup 208/Pb , 1979 .

[39]  G. Rinker,et al.  Nuclear polarization in muonic 204, 206, 207, 208Pb in the random-phase approximation , 1978 .

[40]  B. Fricke,et al.  Self-energy corrections in heavy muonic atoms , 1978 .

[41]  G. Rinker,et al.  Higher-order corrections to level energies of muonic atoms , 1977 .

[42]  W. Johnson,et al.  Self-energy corrections to the K-electron binding in heavy and superheavy atoms , 1976 .

[43]  B. L. Berman,et al.  Measurements of the giant dipole resonance with monoenergetic photons , 1975 .

[44]  G. Rinker,et al.  Comment on the validity of the Slater approximation in electron screening in exotic atoms , 1975 .

[45]  P. Mohr.  Self-energy radiative corrections in hydrogen-like systems☆☆☆ , 1974 .

[46]  M. Rosen,et al.  Dispersion corrections to elastic electron scattering by 12C and 16O II. On the use of the closure approximation , 1974 .

[47]  J. Negele,et al.  Breit equation analysis of recoil corrections to muonic atom energy levels , 1973 .

[48]  W. Johnson,et al.  LAMB SHIFT AND BINDING ENERGIES OF K ELECTRONS IN HEAVY ATOMS. , 1971 .

[49]  R. Barrett.  Radiative corrections in muonic atoms , 1968 .

[50]  L. Tassie.  A Model of Nuclear Shape Oscillations for g?Transitions and Electron Excitation , 1956 .

[51]  N. Kroll,et al.  Vacuum Polarization in a Strong Coulomb Field , 1954 .

[52]  V. Fitch,et al.  STUDIES OF X-RAYS FROM MU-MESONIC ATOMS , 1953 .

[53]  E. A. Uehling.  Polarization effects in the positron theory , 1935 .