Muonic Lithium atoms: nuclear structure corrections to the Lamb shift

Abstract

In view of the future plans to measure the Lamb shift in muonic Lithium atoms we address the microscopic theory of the µ-6 Li 2+ and µ-7 Li 2+ systems. The goal of the CREMA collaboration is to measure the Lamb shift to extract the charge radius with high precision and compare it to electron scattering data or atomic spectroscopy to see if interesting puzzles, such as the proton and deuteron radius puzzles, arise. For this experiment to be successful, theoretical information on the nuclear structure corrections to the Lamb shift is needed. For µ-6 Li 2+ and µ-7 Li 2+ there exist only estimates of nuclear structure corrections based on experimental data that suffer from very large uncertainties. We present the first steps towards an ab initio computation of these quantities using few-body techniques.

Few-body model approach to the lowest bound S-state of non-symmetric exotic atoms and ions

“…The literature survey reveals the fact that though lots of work have been done on non-symmetric muonic atoms having nuclear charge Z 3 (Eg., e − μ − 3 He 2+ , e − μ − 7 Li 3+ ), less attention has been given to system with nuclear charge Z > 3. Apart from that the results reported in the literature are mostly related to the hyperfine structure of the ground state obtained by variational technique or the Lamb shift measurements [53], 2S-2P transition in the muonic helium-4 ion [54]. And experiments are being conducted with high-intensity muon beams by various research groups like the HIPA at PSI [55], MUSE at J-PARC [56], TRIUMF, RAL, MuSIC at Osaka, etc.…”

Muonic-Atom Spectroscopy and Impact on Nuclear Structure and Precision QED Theory

“…Given the prospects to study µLi, we expect the nuclear polarizability contributions to become extremely important. The latter can be and will be tackled within ab-initio calculations [65]. For the heavier nuclei, similarly to what was implemented in µC [66], one could use input from total integrated nuclear photoabsorption cross-sections to estimate the polarizability.…”

Quantum nonequilibrium dynamics from Knizhnik-Zamolodchikov equations

“…Gaudin model Hamiltonian ĤG is integrable and is linear combination of integrals of motion ĤG = 2 N l=1 w l ĤG l . As we pointed in the introduction, a class of models including the celebrated Richardon's pairing Hamiltonian [5,[20][21][22][23][24][25][26][27][28][29][30][31][32][33], whose conserved integrals of motion can be regarded as a generalization of those of the Gaudin magnet [89][90][91]…”

“…[1,2]) over the last couple of decades that surged again recently in connection with quantum information problems [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19]. These include the dynamical discrete-state Bardeen-Cooper-Shriffer (BCS) pairing models [5,[20][21][22][23][24][25][26][27][28][29][30][31][32][33], where for example the interaction strength can be made time dependent, and various multi-level Landau-Zenner tunneling models and their many body generalizations [34][35][36][37][38][39][40][41][42][43][44][45][46].…”