scholarly journals Semiclassical variational calculation of liquid-drop model coefficients for metal clusters

1991 ◽  
Vol 19 (1-4) ◽  
pp. 101-103 ◽  
Author(s):  
M. Seidl ◽  
M. E. Spina ◽  
M. Brack
Keyword(s):  
Metal Clusters ◽  
Liquid Drop ◽  
Variational Calculation ◽  
Liquid Drop Model

Fragmentation of Highly Charged Metallic Clusters

1994 ◽  
Vol 366 ◽  
Author(s):  
Estela Blaisten-Barojas ◽  
Yibing Li ◽  
A. Belenki
Keyword(s):  
Alkali Metals ◽  
Metal Clusters ◽  
Liquid Drop ◽  
Critical Size ◽  
Single Atom ◽  
Liquid Drop Model ◽  
Multiply Charged ◽  
Energetic Balance ◽  
Singly Charged ◽  
Energy Of Formation

ABSTRACTMultiply charged metal clusters undergo fission at a certain size. This critical size can be predicted by the liquid drop model when some modifications are taken into consideration. In this work we revise the asymmetric liquid drop model (ALD) and modify it for the alkali metals. This modification addresses those fragmentation channels in which a parent cluster with charge Ze fissions into two fragments. One of the fragments is small and singly charged whereas the second fragment is large and carries the rest of the charge. A different energetic balance equation is presented in which the ionization energy of a single atom and the energy of formation of a small cluster are included. Results and comparison to experiments is provided for Na and Cs clusters. Prediction of the critical size of Na and Cs clusters with Ze>7 is part of the discussion.

Liquid Drop Model for Charged Spherical Metal Clusters

1996 ◽  
Vol 245 (2) ◽  
pp. 275-310 ◽  
Author(s):  
M. Seidl ◽  
M. Brack
Keyword(s):  
Metal Clusters ◽  
Liquid Drop ◽  
Liquid Drop Model

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

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.

scholarly journals Non-spherical nucleon clusters in the mantle of a neutron star: CLDM based on Skyrme-type forces

2021 ◽  
Vol 2103 (1) ◽  
pp. 012004
Author(s):  
N A Zemlyakov ◽  
A I Chugunov ◽  
N N Shchechilin
Keyword(s):  
Neutron Star ◽  
Nuclear Matter ◽  
Liquid Drop ◽  
Outer Region ◽  
Spherical Shape ◽  
Baryon Number ◽  
Compressible Liquid ◽  
Liquid Drop Model ◽  
The Core ◽  
Nuclear Clusters

Abstract Neutron stars are superdense compact astrophysical objects. The central region of the neuron star (the core) consists of locally homogeneous nuclear matter, while in the outer region (the crust) nucleons are clustered. In the outer crust these nuclear clusters represent neutron-rich atomic nuclei and all nucleons are bound within them. Whereas in the inner crust some neutrons are unbound, but nuclear clusters still keeps generally spherical shape. Here we consider the region between the crust and the core of the star, so-called mantle, where non-spherical nuclear clusters may exist. We apply compressible liquid drop model to calculate the energy density for several shape types of nuclear clusters. It allows us to identify the most energetically favorable configuration as function of baryon number density. Employing four Skyrme-type forces (SLy4 and BSk24, BSk25, BSk26), which are widely used in the neutron star physics, we faced with strong model dependence of the ground state composition. In particular, in agreement with previous works within liquid drop model, mantle is absent for SLy4 (nuclear spheres directly transit into homogeneous nuclear matter; exotic nuclear shapes do not appear).

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