scholarly journals ISOSPIN MIXING IN THE VICINITY OF THE N = Z LINE

2011 ◽  
Vol 20 (02) ◽  
pp. 244-251 ◽  
Author(s):  
W. SATUŁA ◽  
J. DOBACZEWSKI ◽  
W. NAZAREWICZ ◽  
M. BORUCKI ◽  
M. RAFALSKI
Keyword(s):  
Density Functional Theory ◽  
Angular Momentum ◽  
Density Functional ◽  
Decay Rates ◽  
Nuclear Density ◽  
Isospin Breaking ◽  
Β Decay ◽  
Functional Theory ◽  
Recent Estimate ◽  
Nuclear Density Functional Theory

We present the isospin- and angular-momentum-projected nuclear density functional theory (DFT) and its applications to the isospin-breaking corrections to the superallowed β-decay rates in the vicinity of the N = Z line. A preliminary value obtained for the Cabibbo–Kobayashi–Maskawa matrix element, |Vud| = 0.97463(24), agrees well with the recent estimate by Towner and Hardy [Phys. Rev.C77, 025501 (2008)]. We also discuss new opportunities to study the symmetry energy by using the isospin-projected DFT.

scholarly journals Quantification of Uncertainties in Nuclear Density Functional Theory

2015 ◽  
Vol 123 ◽  
pp. 115-118 ◽  
Author(s):  
N. Schunck ◽  
J.D. McDonnell ◽  
D. Higdon ◽  
J. Sarich ◽  
S. Wild
Keyword(s):  
Density Functional Theory ◽  
Density Functional ◽  
Nuclear Density ◽  
Functional Theory ◽  
Nuclear Density Functional Theory

scholarly journals Charge radii of potassium isotopes in the RMF(BCS)* approach

2022 ◽  
Author(s):  
Rong An ◽  
Shisheng Zhang ◽  
Li-Sheng Geng ◽  
Feng-Shou 张丰收 Zhang
Keyword(s):  
Experimental Data ◽  
Density Functional Theory ◽  
Density Functional ◽  
Mean Field ◽  
Field Studies ◽  
Nuclear Density ◽  
Isotopic Chain ◽  
Functional Theory ◽  
Charge Radii ◽  
Nuclear Density Functional Theory

Abstract We apply the recently proposed RMF(BCS)* ansatz to study the charge radii of the potassium isotopic chain up to $^{52}$K. It is shown that the experimental data can be reproduced rather well, qualitatively similar to the Fayans nuclear density functional theory, but with a slightly better description of the odd-even staggerings (OES). Nonetheless, both methods fail for $^{50}$K and to a lesser extent for $^{48,52}$K. It is shown that if these nuclei are deformed with a $\beta_{20}\approx-0.2$, then one can obtain results consistent with experiments for both charge radii and spin-parities. We argue that beyond mean field studies are needed to properly describe the charge radii of these three nuclei, particularly for $^{50}$K.

Sign in / Sign up

Export Citation Format

Share Document