The Elasticity of the Neutron Star Mantle: The Improved Compressible Liquid Drop Model for Cylindrical Phases by Nikita A. Zemlyakov, Andrey I. Chugunov

“…In this paper, we reconsider the transverse shear modulus for cylindrical phases of the mantle within the framework of the compressible liquid drop model. We demonstrate that transverse shearing affects the shape of nuclear clusters: their cross-section becomes elliptical. …”
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Derivation of a new formula for calculating the two neutrons' separation energy (S2n) based on the liquid-drop model by S.M. Al-Rawashdeh

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1-20 MeV Enerji Aralığında 230,232Th ve 236,238,239,240,241,242,244Pu Çekirdeklerinin Nötronlarla Oluşturulan Fisyon Tesir Kesitlerinin Hesaplanması by Mustafa Yiğit, Mehmet Korkmaz, Mehtap Günay, Başar Şarer

“…In ALICE-ASH calculations, RFRM (Rotation-Finite-Range Model) and RLDM (Rotation-liquid- Drop Model) was used. The calculated fission cross section was compared with the experimental data taken from the Experimental Nuclear Reaction Data (EXFOR). …”
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Estimation of Nuclear Mass Formulas Coefficients Using Least-Squares Method Based on Gauss-Seidel Scheme: A Comparative Study Between Three Models by Hadj Mouloudj, Benyoucef Mohammed-Azizi, Oussama Zeggai, Abdelkader Ghalem, Alla Eddine Toubal Maamar

“…The obtained r.m.s. result for the new liquid drop model in terms of masses is equal to 1.05 MeV. …”
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Statistical learnability of nuclear masses by A. Idini

“…After more than 80 years from the seminal work of Weizsäcker and the liquid drop model of the atomic nucleus, deviations from experiments of mass models (∼MeV) are orders of magnitude larger than experimental errors (≲keV). …”
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Calculation of the Cluster Emission Half-Lives by Considering the Deformations and Relative Orientations of the Nuclei by P Nazarzadeh, R Bagheri

“…The calculated results are in good agreement with the experimental data and the results of the Liquid Drop Model, LDM. It is seen that with increasing the angle of the relative orientation, the systems under consideration, will be more stable against this phenomenon.…”
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Elastic properties of nuclear pasta in a fully three-dimensional geometry by Cheng-Jun Xia, Toshiki Maruyama, Nobutoshi Yasutake, Toshitaka Tatsumi, Ying-Xun Zhang

“…For slabs, due to the negligence on the variations of their thicknesses, the analytic formulae from liquid-drop model agree qualitatively but not quantitatively with our numerical estimations. …”
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Surface Vibrations of Bubble-like Superheavy Nuclei by Şerban Mişicu

“…The shape vibrations of a superheavy nucleus with a complete (bubble) or a partially (semi-bubble) depleted density in its central region and sharp-edge inner and outer surfaces are investigated in the frame of the Liquid-Drop Model. The quadrupole oscillations of the two existing surfaces are coupled in both velocity and coordinate and, upon decoupling, a low-energy and a high-energy component are predicted. …”
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Investigation of Nuclear Binding Energy and Charge Radius Based on Random Forest Algorithm by CAI Boshuai;YU Tianjun;LIN Xuan;ZHANG Jilong;WANG Zhixuan;YUAN Cenxi

“…RMSE for nuclides with Z, N>7 is reduced to 0.816 MeV and 0.020 0 fm compared with the six-term liquid drop model and a three-term nuclear charge radius formula, respectively. …”
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Formation and dissociation processes of gas-phase detergent micelles. by Borysik, A, Robinson, C

“…This relationship contradicts the thermodynamics of micelle formation in solution. However, the liquid drop model, which considers both the surface energy and charge, correlates extremely well with the experimental cluster size. …”

Skyrme interaction and nuclear matter constraints by Dutra, M, Lourenço, O, Sá Martins, J, Delfino, A, Stone, JR, Stevenson, P

“…This paper presents a detailed assessment of the ability of the 240 Skyrme interaction parameter sets in the literature to satisfy a series of criteria derived from macroscopic properties of nuclear matter in the vicinity of nuclear saturation density at zero temperature and their density dependence, derived by the liquid-drop model, in experiments with giant resonances and heavy-ion collisions. …”

From neutron skins and neutron matter to the neutron star crust by William G. Newton, Rebecca Preston, Lauren Balliet, Michael Ross

“…Using a compressible liquid drop model with an extended Skyrme energy-density functional, we obtain the most stringent constraints to date on the transition pressure Pcc=0.33−0.07+0.07 MeV fm−3 and chemical potential μcc=12.6−1.9+1,8 MeV (which control the mass, moment of inertia and thickness of a neutron star crust), the proton fractions that bracket the pasta phases yp=0.115−0.017+0.016 and ycc=0.041−0.006+0.007, as well as the relative mass and moment of inertia ΔMp/ΔMc≈ΔIp/ΔIc=0.54−0.09+0.05 and thickness ΔRp/ΔRc=0.129−0.030+0.019 of the layers of non-spherical nuclei (nuclear pasta) in the crust.…”
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Pasta Phases in Neutron Star Mantle: Extended Thomas–Fermi vs. Compressible Liquid Drop Approaches by Nikolai N. Shchechilin, Nikita A. Zemlyakov, Andrey I. Chugunov, Mikhail E. Gusakov

“…In this paper, we compare results obtained by the Extended Thomas–Fermi (ETF) method with the compressible liquid drop model (CLDM), based on the thermodynamically consistent description of the surface properties calculated for the two-phase plane interface and the same energy-density functional (for numerical illustration, we applied the Skyrme-type functional SLy4). …”
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h-BN Modification Using Several Hydroxylation and Grafting Methods and Their Incorporation into a PMMA/PA6 Polymer Blend by Abdelwahab Boukheit, France Chabert, Belkacem Otazaghine, Aurélie Taguet

“…The calculation of the wetting parameter based on the surface tension measurement using the liquid drop model showed that h-BN dispersed in the PA6 phase. …”
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Nuclear Fission in Low Excitation Energy within Macroscopic-microscopic Model and Langevin Approach by LIU Lile;CHEN Yongjing;WU Xizhen;LI Zhuxia;GE Zhigang;SHEN Caiwan;SU Yang;HUANG Xiaolong;SHU Nengchuan

“…The threedimensional Langevin model was used to study the fragment mass distribution and total kinetic energy (TKE) distribution and the scission configuration in lowenergy nuclear fission, in which the potential energy surface was calculated by using the macroscopicmicroscopic model based on the twocenter shell model and the finite range liquid drop model, and the inertia tensor and the friction tensor were obtained within the WernerWheeler method and the wallandwindow model, respectively. …”
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Fully relaxed heavy ion reactions in the mass 80 region by Evans, P, Philip Mark Evans

“…The more commonly employed rotating liquid drop model of the nucleus is unable to predict either of these effects. …”

Is there pasta in neutron stars? by Chamel Nicolas, Pearson John Michael, Shchechilin Nikolai

“…Adding shell and pairing effects perturbatively and consistently to the fourth-order extended Thomas-Fermi method using the Brussels-Montreal functional BSk24, we find that nuclear pastas are much less abundant than previously thought from liquid-drop models, thus questioning their very existence in neutron stars.…”
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Nuclear Pasta in Cold Non-Accreting Neutron Stars: Symmetry Energy Effects by Nikolai N. Shchechilin, John M. Pearson, Nicolas Chamel

“…Within the fourth-order extended Thomas–Fermi method, we find that pasta occupies a wider region of the crust for models with a lower slope of the symmetry energy (and higher symmetry energy at relevant densities) in agreement with previous studies based on pure Thomas–Fermi approximation and compressible liquid-drop models. However, the incorporation of microscopic corrections consistently calculated with the Strutinsky integral method leads to a significant shift of the onset of the pasta phases to higher densities due to the enhanced stability of spherical clusters. …”
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