scholarly journals A NEW BARRIER PENETRATION FORMULA AND ITS APPLICATION TO α-DECAY HALF-LIVES

2010 ◽  
Vol 19 (03) ◽  
pp. 359-370 ◽  
Author(s):  
LU-LU LI ◽  
SHAN-GUI ZHOU ◽  
EN-GUANG ZHAO ◽  
WERNER SCHEID
Keyword(s):  
Long Range ◽  
Coulomb Interaction ◽  
Coulomb Barrier ◽  
Wkb Method ◽  
Α Decay ◽  
Potential Barriers ◽  
Atomic Nuclei ◽  
Barrier Penetration ◽  
New Formula ◽  
Good Agreement

Starting from the WKB approximation, a new barrier penetration formula is proposed for potential barriers containing a long-range Coulomb interaction. This formula is especially proper for the barrier penetration with penetration energy much lower than the Coulomb barrier. The penetrabilities calculated from the new formula agree well with the results from the WKB method. As a first attempt, this new formula is used to evaluate α-decay half-lives of atomic nuclei and a good agreement with the experiment is obtained.

A systematic calculation of alpha decay half-lives using a new approach for barrier penetration probability

2016 ◽  
Vol 25 (09) ◽  
pp. 1650069 ◽  
Author(s):  
M. Ismail ◽  
A. Y. Ellithi ◽  
A. EL-Depsy ◽  
O. A. Mohamedien
Keyword(s):  
Experimental Data ◽  
Coulomb Barrier ◽  
Alpha Decay ◽  
New Approach ◽  
Systematic Calculation ◽  
Barrier Penetration ◽  
Spherical Nuclei ◽  
New Formula ◽  
Penetration Probability ◽  
Good Agreement

A systematic calculation of alpha decay half-lives of 347 nuclei is considered in the framework of the Wentzel–Kramers–Brillouin (WKB) approximation using two formulas. A recently proposed barrier penetration formula, with some modified parameters, is used first. Second, a new analytic barrier penetration formula is derived by taking into account the centrifugal potential. A good agreement with experimental data is achieved especially for spherical nuclei. The new formula reproduces experimental alpha decay half-lives with a satisfying accuracy especially for penetration energies much lower than the Coulomb barrier.

ANALYTIC SOLUTION FOR THE POTENTIAL BARRIERS IN ALPHA-DECAY PROCESS FOR Po ISOTOPES

2013 ◽  
Vol 22 (11) ◽  
pp. 1350080 ◽  
Author(s):  
H. HASSANABADI ◽  
E. JAVADIMANESH ◽  
S. ZARRINKAMAR
Keyword(s):  
Ground State ◽  
Analytic Solution ◽  
Alpha Decay ◽  
Decay Process ◽  
Potential Barriers ◽  
New Formula ◽  
Penetration Probability ◽  
Good Agreement

We study the half-lives of some nuclei via the alpha-decay process in ground-state to ground-state ( g.s. → g.s. ) transitions. To go through the problem, we consider the parabola and WKB approximations to fin the penetration probability. This new formula is used to evaluate alpha-decay half-lives and a good agreement with the experiment is obtained.

scholarly journals Bichromatic Photoassociation Spectroscopy for the Determination of Rotational Constants of Cs2 0 u + Long-Range State below the 6S1/2 + 6P1/2 Asymptote

Molecules ◽  
2020 ◽  
Vol 25 (17) ◽  
pp. 3963
Author(s):  
Jizhou Wu ◽  
Jie Ma ◽  
Yuqing Li ◽  
Wenliang Liu ◽  
Peng Li ◽  
...  
Keyword(s):  
Long Range ◽  
Spectroscopic Technique ◽  
Rigid Rotor ◽  
Simple Analysis ◽  
Rotational Constants ◽  
Vibrational Levels ◽  
Photoassociation Spectroscopy ◽  
Rotor Model ◽  
Good Agreement

This article demonstrates new observation of the high-resolution ro-vibrational bichromatic photoassociation spectra (BPAS) of Cs2 in the 0u+ long-range state below the asymptotes 6S1/2 + 6P1/2. By combining with a modulation spectroscopic technique, precise references of the frequency differences have been engineered through the BPAS, with which the rotational constants of low-lying vibrational levels of the Cs20u+ long-range state have been accurately determined by fitting the frequency differences to the non-rigid-rotor model. The rotational constants for the newly observed seven ro-vibrational levels are summarized and disagreement for the level ῦ = 498 is clarified. The rotational constants of different vibrational levels demonstrate strong perturbations of the related energy structures. A simple analysis is performed and shows good agreement with experimental results.

scholarly journals Striped phases in the two-dimensional Hubbard model with long-range Coulomb interaction

1998 ◽  
Vol 58 (20) ◽  
pp. 13506-13509 ◽  
Author(s):  
G. Seibold ◽  
C. Castellani ◽  
C. Di Castro ◽  
M. Grilli
Keyword(s):  
Hubbard Model ◽  
Long Range ◽  
Coulomb Interaction ◽  
Two Dimensional ◽  
Striped Phases

SHELL DEFORMATION AND SPIN EFFECTS IN NUCLEON SEPARATION ENERGIES

1993 ◽  
Vol 02 (04) ◽  
pp. 789-807
Author(s):  
D. CALEB CHANTHI RAJ ◽  
M. RAJASEKARAN ◽  
R. PREMANAND
Keyword(s):  
Structural Changes ◽  
Shell Correction ◽  
Separation Energy ◽  
Systematic Analysis ◽  
Spin Effects ◽  
Wide Range ◽  
Type Calculation ◽  
Nucleon Separation Energy ◽  
New Formula ◽  
Good Agreement

A new formula to obtain shell correction to separation energy is derived from a Strutinsky type calculation. A systematic analysis of shell and deformation effects on nucleon separation energy is made. Spin induced structural changes are also evident in shape changes along the spin coordinate. Calculations are performed for a wide range of nuclei from Zr to Cm. The results are generally in very good agreement with experimental analysis.

HALF-LIVES OF CLUSTER RADIOACTIVITY OF HEAVY NUCLEI

2005 ◽  
Vol 19 (15n17) ◽  
pp. 2452-2456
Author(s):  
ZHONGZHOU REN ◽  
CHANG XU
Keyword(s):  
Natural Extension ◽  
Heavy Nuclei ◽  
Α Decay ◽  
Cluster Radioactivity ◽  
New Formula ◽  
Experimental Researches

The half-lives of cluster radioactivity (14C-34Si) are well reproduced by a new formula between half-lives and decay energies. This formula is a natural extension of both the Geiger-Nuttall law and the Viola-Seaborg formula from α-decay to cluster radioactivity. The half-lives of new cluster emitters are predicted based on this formula. These are useful for future experimental researches of cluster radioactivity. The physics related to this formula is analyzed and discussed.

scholarly journals Long range effects on the optical model of 6He around the Coulomb barrier

2010 ◽  
Vol 840 (1-4) ◽  
pp. 19-38 ◽  
Author(s):  
J.P. Fernández-García ◽  
M. Rodríguez-Gallardo ◽  
M.A.G. Alvarez ◽  
A.M. Moro
Keyword(s):  
Long Range ◽  
Coulomb Barrier ◽  
Optical Model

scholarly journals Noise suppression due to long-range Coulomb interaction: crossover between diffusive and ballistic transport regimes

1997 ◽  
Vol 12 (8) ◽  
pp. 1053-1056 ◽  
Author(s):  
T González ◽  
O M Bulashenko ◽  
J Mateos ◽  
D Pardo ◽  
L Reggiani ◽  
...  
Keyword(s):  
Long Range ◽  
Coulomb Interaction ◽  
Noise Suppression ◽  
Ballistic Transport
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