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.

scholarly journals To unite nuclear and sub-nuclear strong interactions

2017 ◽  
Vol 5 (2) ◽  
pp. 104
Author(s):  
Satya Seshavatharam UV ◽  
Lakshminarayana S
Keyword(s):  
Binding Energy ◽  
Strong Coupling ◽  
Charge Radius ◽  
Nuclear Charge ◽  
Strong Coupling Constant ◽  
Strong Interactions ◽  
Nuclear Charge Radius ◽  
Coupling Constant

With reference to ‘reciprocal’ of the strong coupling constant and ‘reduced Compton's wavelength’ of the nucleon, we make an attempt to understand the background of nuclear charge radius, binding energy and stability.

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

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 .

Shrinking of the Nuclear Charge Radius in the First Rotational State ofHf178

1972 ◽  
Vol 6 (3) ◽  
pp. 1093-1098 ◽  
Author(s):  
P. Boolchand ◽  
David Langhammer ◽  
Ching-Lu Lin ◽  
S. Jha ◽  
Neal F. Peek
Keyword(s):  
Charge Radius ◽  
Nuclear Charge ◽  
Rotational State ◽  
Nuclear Charge Radius

Improved Z 1/3 Law of Nuclear Charge Radius

2009 ◽  
Vol 51 (1) ◽  
pp. 123-125 ◽  
Author(s):  
Lei Yi-An ◽  
Zhang Zhen-Hua ◽  
Zeng Jin-Yan
Keyword(s):  
Charge Radius ◽  
Nuclear Charge ◽  
Nuclear Charge Radius

Lithium transition energies and isotopic shift: three correlated electron states

2005 ◽  
Vol 83 (4) ◽  
pp. 467-474 ◽  
Author(s):  
M Tomaselli
Keyword(s):  
Nuclear Charge ◽  
Wave Functions ◽  
Large Contribution ◽  
Correlation Model ◽  
Transition Energies ◽  
Polarization Effects ◽  
Dynamic Correlation ◽  
Nuclear Charge Distribution ◽  
Correlated Electron ◽  
Configuration Mixing

Energies of the 1s22s2S1/2 and the 1s23s2S1/2 of the lithium isotopes are calculated in a dynamic correlation model. With the evaluated configuration mixing wave functions the polarization effects resulting from an extended nuclear charge distribution are evaluated. A relative large contribution for 7Li is observed.PACS Nos.: 32.10.Fn, 21.10.Ft, 27.20.+n

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