Isotope shifts and nuclear radius measurements for helium and lithium

2005 ◽  
Vol 83 (4) ◽  
pp. 311-325 ◽  
Author(s):  
G WF Drake ◽  
W Nörtershäuser ◽  
Z -C Yan
Keyword(s):  
Nuclear Structure ◽  
High Precision ◽  
Charge Radius ◽  
Isotope Shift ◽  
Halo Nucleus ◽  
Nuclear Charge ◽  
Nuclear Charge Radius ◽  
Nuclear Radius ◽  
Charge Radii ◽  
Theory And Experiment

It is now well established that accurate relative values of the rms nuclear charge radius for light atoms can be extracted from a comparison between high-precision theory and experiment for the isotope shift in atomic transition frequencies. Results are available for isotopes of helium and lithium. This paper reviews and updates the interpretation of earlier measurements for 3He relative to 4He, and 6Li relative to 7Li. New results are presented for the quantum electrodynamic recoil corrections. Recent measurements for the halo nucleus 6He, and the short-lived nuclei 8Li, and 9Li are discussed. The derived nuclear charge radii of 2.054(14), 2.30(4), and 2.24(4)~fm, respectively, are compared with the predictions of various nuclear structure models.PACS Nos.: 31.15.Pf, 31.30.Jv, and 32.10.Hq

EFFECTS OF STRONG INTERACTIONS AND FINITE NUCLEAR CHARGE RADIUS IN PIONIC ATOMS

1967 ◽  
Vol 45 (10) ◽  
pp. 3313-3318 ◽  
Author(s):  
L. P. Fulcher ◽  
J. M. Eisenberg ◽  
J. LeTourneux
Keyword(s):  
Charge Radius ◽  
Nuclear Charge ◽  
Wave Functions ◽  
Light Nuclei ◽  
Strong Interactions ◽  
Nuclear Charge Radius ◽  
Charged Sphere ◽  
Nuclear Radius ◽  
Nuclear Charge Distribution ◽  
Square Well

For studies involving the interaction of bound pions with the atomic nucleus, it is essential to investigate details of the pionic wave function at the nucleus. These are especially important for the1S orbitals, where both the repulsive strong interaction and the effects of finite nuclear charge radius are important. We present calculations based on the use of a square-well potential to simulate the strong interactions. The nuclear charge distribution is taken to be that of a uniformly charged sphere. The corresponding Schrödinger equation is solved exactly. The square-well radius is taken to be the same as the nuclear radius, and its strength is chosen so as to obtain agreement with the observed 2P−1S energy differences. For light nuclei, the probability of finding the meson in the nucleus is found to be approximately one-fourth to one-half that calculated with conventional hydrogenic wave functions.

Critical examination of isotope shift and fine structure measurements for optical transitions in 6,7LiThis paper was presented at the International Conference on Precision Physics of Simple Atomic Systems, held at University of Windsor, Windsor, Ontario, Canada on 21–26 July 2008.

2009 ◽  
Vol 87 (7) ◽  
pp. 807-815 ◽  
Author(s):  
George A. Noble ◽  
William A. van Wijngaarden
Keyword(s):  
Fine Structure ◽  
Charge Radius ◽  
Isotope Shift ◽  
Nuclear Charge ◽  
Theoretical Estimate ◽  
Nuclear Charge Radius ◽  
Critical Examination ◽  
Mean Square ◽  
Atomic Systems ◽  
The Difference

Precise isotope shift and fine structure measurements are critically reviewed. Each experiment was checked for whether the data found for different transitions yielded consistent values for the difference in mean-square nuclear charge radius Δr2 of 6,7Li. Experiments that passed this test found Δr2 = 0.735 ± 0.036, 0.755 ± 0.023, and 0.739 ± 0.013 fm2 by studying the Li+ 1s2s 3S→1s2p 3P transition, the Li D lines and the Li 2S1/2→3S1/2 transition, respectively. These data determine the difference in mean-square nuclear charge radius 25 times more accurately than electron scattering. Similarly, averaging the fine structure data from the same experiments gives 62 678.75 ± 0.55 MHz for the 7Li+ 1s2p 3P1–2 interval, in good agreement with theory. The results for the 6,7Li 2P fine structure intervals, 10 0.52.954 ± 0.049 and 10 053.154 ± 0.040 MHz, exceed computed values by 2 MHz and yield a splitting isotope shift, which is nearly a factor of 2 lower than a theoretical estimate.

scholarly journals The particle moves on a doughnut Nuclear Charge Radius Differences of 15N -14N and 18O-16O

1971 ◽  
Vol 26 (12) ◽  
pp. 2070-2071 ◽  
Author(s):  
W. Schütz ◽  
H. Theissen ◽  
K. H. Schmidt ◽  
H. Frank
Keyword(s):  
Electron Scattering ◽  
Ground State ◽  
Charge Radius ◽  
Nuclear Charge ◽  
Low Energy ◽  
Nuclear Charge Radius ◽  
Elastic Electron ◽  
Elastic Electron Scattering ◽  
Charge Radii ◽  
Relative Differences

The relative differences of the rms ground state nuclear charge radii of 15N -14N and 18O -16O have been measured by low energy elastic electron scattering to be (1.3 + 0.7)% and (2.4 + 0.6)%, respectively. Both values are less than those following from an A1/3 dependence

Anomalous Isotope Shift of the Nuclear Charge Radius

1966 ◽  
Vol 17 (6) ◽  
pp. 324-328 ◽  
Author(s):  
F. G. Perey ◽  
J. P. Schiffer
Keyword(s):  
Charge Radius ◽  
Isotope Shift ◽  
Nuclear Charge ◽  
Nuclear Charge Radius

scholarly journals Evidence of a sudden increase in the nuclear size of proton-rich silver-96

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
M. Reponen ◽  
R. P. de Groote ◽  
L. Al Ayoubi ◽  
O. Beliuskina ◽  
M. L. Bissell ◽  
...  
Keyword(s):  
Charge Radius ◽  
Density Functional ◽  
Theory Development ◽  
Density Functional Theory Calculations ◽  
Neutron Number ◽  
Nuclear Charge Radius ◽  
Sudden Increase ◽  
Nuclear Theory ◽  
Charge Radii ◽  
Proton Pairing

AbstractUnderstanding the evolution of the nuclear charge radius is one of the long-standing challenges for nuclear theory. Recently, density functional theory calculations utilizing Fayans functionals have successfully reproduced the charge radii of a variety of exotic isotopes. However, difficulties in the isotope production have hindered testing these models in the immediate region of the nuclear chart below the heaviest self-conjugate doubly-magic nucleus 100Sn, where the near-equal number of protons (Z) and neutrons (N) lead to enhanced neutron-proton pairing. Here, we present an optical excursion into this region by crossing the N = 50 magic neutron number in the silver isotopic chain with the measurement of the charge radius of 96Ag (N = 49). The results provide a challenge for nuclear theory: calculations are unable to reproduce the pronounced discontinuity in the charge radii as one moves below N = 50. The technical advancements in this work open the N = Z region below 100Sn for further optical studies, which will lead to more comprehensive input for nuclear theory development.

Towards a nuclear charge radius determination for beryllium isotopes

LASER 2006 ◽  
2007 ◽  
pp. 189-195
Author(s):  
M. Žáková ◽  
Ch. Geppert ◽  
A. Herlert ◽  
H.-J. Kluge ◽  
R. Sánchez ◽  
...  
Keyword(s):  
Charge Radius ◽  
Nuclear Charge ◽  
Nuclear Charge Radius ◽  
Beryllium Isotopes

Nuclear charge radius difgerence for 46Ti — 50Ti

1966 ◽  
Vol 22 (5) ◽  
pp. 623-624 ◽  
Author(s):  
H. Theissen ◽  
R. Engfer ◽  
G.J.C. Van Niftrik
Keyword(s):  
Charge Radius ◽  
Nuclear Charge ◽  
Nuclear Charge Radius

Mössbauer Isomer Shifts and Hyperfine Splitting of the 145.4 keV γ-rays of 141Pr

1971 ◽  
Vol 26 (3) ◽  
pp. 357-367 ◽  
Author(s):  
W.H. Kapfhammer ◽  
W. Maurer ◽  
F.E. Wagner ◽  
P.E. Kienle
Keyword(s):  
Magnetic Moment ◽  
Charge Radius ◽  
Hyperfine Splitting ◽  
Nuclear Charge ◽  
Magnetic Hyperfine ◽  
Nuclear Charge Radius ◽  
Fluorine Compounds ◽  
Γ Rays

Abstract The Mössbauer scattering of the 145.4 keV γ-rays of 141Pr was observed in a number of praseodymium compounds. From the isomer shifts between trivalent and tetravalent fluorine compounds the value Δ/(r2) = + 12 · 10-3 fm2 was derived for the change of the nuclear charge radius. The magnetic moment of the 145.4 keV state, μ7/2= (2.8 ± 0.2) μN, was deduced from the magnetic hyperfine pattern observed with scatterers of antiferromagnetic PrO2 .

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