scholarly journals Existence and nonexistence in the liquid drop model

2021 ◽  
Vol 60 (6) ◽  
Author(s):  
Rupert L. Frank ◽  
Phan Thành Nam
Keyword(s):  
Liquid Drop ◽  
Riesz Potential ◽  
Heavy Nuclei ◽  
Liquid Drop Model ◽  
Optimal Range ◽  
Nonexistence Result ◽  
Existence Of Minimizers ◽  
Existence And Nonexistence

AbstractWe revisit the liquid drop model with a general Riesz potential. Our new result is the existence of minimizers for the conjectured optimal range of parameters. We also prove a conditional uniqueness of minimizers and a nonexistence result for heavy nuclei.

Alpha decay half-lives of heavy nuclei within a generalized liquid drop model

2009 ◽  
Vol 33 (S1) ◽  
pp. 95-97 ◽  
Author(s):  
Zhang Hong-Fei ◽  
Wang Zu-Kai ◽  
Cheng Xi-Meng ◽  
Zuo-Wei ◽  
Li Jun-Qing
Keyword(s):  
Liquid Drop ◽  
Alpha Decay ◽  
Heavy Nuclei ◽  
Liquid Drop Model

PROPERTIES OF ALPHA DECAY TO ROTATIONAL BANDS OF HEAVY NUCLEI

2010 ◽  
Vol 19 (10) ◽  
pp. 1961-1971 ◽  
Author(s):  
Y. Z. WANG ◽  
J. Z. GU ◽  
J. M. DONG ◽  
B. B. PENG
Keyword(s):  
Experimental Data ◽  
Ground State ◽  
Liquid Drop ◽  
Alpha Decay ◽  
Branching Ratios ◽  
Heavy Nuclei ◽  
Liquid Drop Model ◽  
Α Decay ◽  
Rotational Bands ◽  
Good Agreement

In the framework of the generalized liquid drop model (GLDM) and improved Royer's formula, we investigate the branching ratios and half-lives of α-decay to the members of the ground-state rotational bands of heavy even–even Fm and No isotopes. The calculated results are in good agreement with the available experimental data and some useful predictions are provided for future experiments.

scholarly journals Droplet breakup in the liquid drop model with background potential

2019 ◽  
Vol 21 (03) ◽  
pp. 1850022 ◽  
Author(s):  
Stan Alama ◽  
Lia Bronsard ◽  
Rustum Choksi ◽  
Ihsan Topaloglu
Keyword(s):  
Asymptotic Expansion ◽  
Long Range ◽  
Liquid Drop ◽  
Droplet Breakup ◽  
Minimizing Sequences ◽  
Liquid Drop Model ◽  
Arbitrary Mass ◽  
Limit Formula ◽  
Riesz Kernel ◽  
Existence Of Minimizers

We consider a variant of Gamow’s liquid drop model, with a general repulsive Riesz kernel and a long-range attractive background potential with weight [Formula: see text]. The addition of the background potential acts as a regularization for the liquid drop model in that it restores the existence of minimizers for arbitrary mass. We consider the regime of small [Formula: see text] and characterize the structure of minimizers in the limit [Formula: see text] by means of a sharp asymptotic expansion of the energy. In the process of studying this limit we characterize all minimizing sequences for the Gamow model in terms of “generalized minimizers”.

Symmetrical shapes of equilibrium for a liquid drop model

1963 ◽  
Vol 46 ◽  
pp. 639-659 ◽  
Author(s):  
V.M. Strutinsky ◽  
N.Ya. Lyashchenko ◽  
N.A. Popov
Keyword(s):  
Liquid Drop ◽  
Liquid Drop Model

scholarly journals Bulk properties of rotating nuclei and the validity of the liquid drop model at finite angular momenta

1999 ◽  
Vol 652 (2) ◽  
pp. 142-163 ◽  
Author(s):  
J. Piperova ◽  
D. Samsoen ◽  
P. Quentin ◽  
K. Bencheikh ◽  
J. Bartel ◽  
...  
Keyword(s):  
Liquid Drop ◽  
Liquid Drop Model ◽  
Bulk Properties ◽  
Angular Momenta ◽  
Rotating Nuclei
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