Microscopic Analysis of Elastic Scattering Angular Distributions for Five Different Density Distribution of 9Be Nucleus

Physics of Atomic Nuclei - The elastic scattering angular distributions of the weakly bound $${}^{9}$$ Be projectile by $${}^{27}$$ Al, $${}^{64}$$ Zn, $${}^{89}$$ Y, $${}^{120}$$ Sn, and...     

Systematic Low-Energy Optical Model Potential for $$\alpha$$ -Nucleus Elastic Scattering

Physics of Atomic Nuclei - The elastic scattering of $$\alpha$$ particle from $${}^{89}$$ Y, $${}^{92}$$ Mo, $${}^{106-116}$$ Cd, $${}^{112}$$ Sn, and $${}^{144}$$ Sm nuclei ( $$Z=39{-}62$$ ) at...     

Comparing a New Optimized Potential with Woods–Saxon Potential in Heavy-Ion Reactions $${}^{{28}}$$ Si, $${}^{{32,36}}$$ S, $${}^{{40,48}}$$ Ca, $${}^{{46,50}}\textrm{Ti}{+}^{{90}}$$ Zr

Physics of Atomic Nuclei - This study analyzed the fusions of zirconium with projectiles $${}^{28}$$ Si, $${}^{32,36}$$ S, $${}^{40,48}$$ Ca, $${}^{46,50}$$ Ti by using the CCFULL code. The...     

A look at multiparticle production via modified combinants

The European Physical Journal A - The transverse momentum ($$p_{T}$$) distribution of strange hadrons ($$K_{S}^{0}$$ and $$\varLambda $$) and multi-strange hadrons( $$\varXi $$ and $$\varOmega $$)...     

Analysis of Angular $$\boldsymbol{t{-}\gamma}$$ Correlations in the Reaction $${}^{\boldsymbol{27}}$$ Al $$\boldsymbol{(\alpha,t)^{28}}$$ Si(2 $${}^{\boldsymbol{+}}$$ )

Physics of Atomic Nuclei - Angular $$t$$ – $$\gamma$$ correlations measured earlier in the reaction $${}^{27}$$ Al $$(\alpha,t)^{28}$$ Si(2 $${}^{+}$$ ) occurring at $$E_{\alpha}=30.3$$ MeV...     

Emission of High-Energy Alpha Particles in the Interaction of $${}^{48}$$ Ca Nuclei with Tantalum,Gold, and Uranium Nuclei at 280 MeV

Physics of Atomic Nuclei - The energy spectra of alpha particles from reactions induced by 280-MeV $${}^{48}$$ Ca beams incident to $${}^{181}$$ Ta, $${}^{197}$$ Au, and $${}^{238}$$ U targets were...     

Systematic Approach to Calculate the Total Kinetic Energy Distribution of Actinides for the Photofission Phenomenon

Physics of Atomic Nuclei - The total kinetic energy as a function of fragment mass (TKE/A) was calculated for photofission of $${}^{232}$$ Th, $${}^{234}$$ U, $${}^{238}$$ U, $${}^{240}$$ Pu, and...     

Fast Charged Particles in the Interaction of $${}^{{56}}$$ Fe with Be,Ta, and U Nuclei at an Energy of 400 MeV

Physics of Atomic Nuclei - The energy spectra of alpha particles emitted at an angle of 0 $${}^{\circ}$$ in the interaction of 400-MeV $${}^{56}$$ Fe ions with $${}^{238}$$ U, $${}^{181}$$ Ta, and...     

Hopf Bifurcations,Drops in the Lid-Driven Square Cavity Flow

The lid-driven square cavity flow is investigated by numerical experiments. It is found that from $ \mathrm{Re} $$=$ $5,000 $ to $ \mathrm{Re} $$=$$ 7,307.75 $ the solution is stationary, but at $ \mathrm{Re}$$=$$7,308 $ the solution is time periodic. So the critical Reynolds number for the first Hopf bifurcation localizes between $ \mathrm{Re} $$=$$ 7,307.75 $ and $ \mathrm{Re} $$=$$ 7,308 $. Time periodical behavior begins smoothly, imperceptibly at the bottom left corner at a tiny tertiary vortex; all other vortices stay still, and then it spreads to the three relevant corners of the square cavity so that all small vortices at all levels move periodically. The primary vortex stays still. At $ \mathrm{Re} $$=$$ 13,393.5 $ the solution is time periodic; the long-term integration carried out past $ t_{\infty} $$=$$ 126,562.5 $ and the fluctuations of the kinetic energy look periodic except slight defects. However, at $ \mathrm{Re} $$=$$ 13,393.75 $ the solution is not time periodic anymore: losing unambiguously, abruptly time periodicity, it becomes chaotic. So the critical Reynolds number for the second Hopf bifurcation localizes between $ \mathrm{Re} $$=$$ 13,393.5 $ and $ \mathrm{Re} $$=$$ 13,393.75 $. At high Reynolds numbers $ \mathrm{Re} $$=$$ 20,000 $ until $ \mathrm{Re} $$=$$ 30,000 $ the solution becomes chaotic. The long-term integration is carried out past the long time $ t_{\infty} $$=$$ 150,000 $, expecting the time asymptotic regime of the flow has been reached. The distinctive feature of the flow is then the appearance of drops: tiny portions of fluid produced by splitting of a secondary vortex, becoming loose and then fading away or being absorbed by another secondary vortex promptly. At $ \mathrm{Re} $$=$$ 30,000 $ another phenomenon arises—the abrupt appearance at the bottom left corner of a tiny secondary vortex, not produced by splitting of a secondary vortex.     

Free Self-decomposability and Unimodality of the Fuss–Catalan Distributions

Journal of Statistical Physics - We study properties of the Fuss–Catalan distributions $$\mu (p,r)$$, $$p\ge 1$$, $$01$$ there exists $$r_{0}(p)$$, with $$p-1     

Occurrence of Staggering and Identical Energies in Ground State Rotational Bands in Some Actinide Isotopes within Two-Parameter Rotational Model

Physics of Atomic Nuclei - The excitation energies of positive parity ground state bands in $${}^{230,232}$$ Th, $${}^{234,236,238}$$ U and $${}^{236,238}$$ Pu actinide nuclei suggest that they...     

Investigation of Excitation of $${K}$$ Isomers $${}^{{179m2}}$$ Hf and $${}^{{180m}}$$ Hf in ( $${\gamma,\gamma^{\prime}}$$ ) Reactions

Physics of Atomic Nuclei - The weighted-average cross sections for $${}^{179m2}$$ Hf and $${}^{180m}$$ Hf population in ( $$\gamma,\gamma^{\prime}$$ ) reactions induced by gamma rays of...     

Higher spin $${{\mathfrak {s}}}{{\mathfrak {l}}}_2$$ s l 2 R-matrix from equivariant (co)homology

Letters in Mathematical Physics - We compute the rational $${{\mathfrak {s}}}{{\mathfrak {l}}}_2$$ R-matrix acting in the product of two spin- $$\ell \over 2$$ ( $${\ell \in {\mathbb {N}}}$$ )...     

The liquid-lithium target at the soreq applied research accelerator facility

The European Physical Journal A - In stars, the fusion of $$^{22}$$ Ne and $$^4$$ He may produce either $$^{25}$$ Mg, with the emission of a neutron, or $$^{26}$$ Mg and a $$\gamma $$ ray. At high...     

Decay of Hot and Rotating $${}^{\boldsymbol{88}}$$ Mo $${}^{\boldsymbol{*}}$$ at Incident Energies of 300, 450, and 600 MeV

Physics of Atomic Nuclei - The reaction mechanism for the decay of the hot and rotating compound system $${}^{88}$$ Mo $${}^{*}$$ formed in $${}^{48}\textrm{Ti}+^{40}$$ Ca reaction and the time for...     

Lifshitz Tails for the Fractional Anderson Model

Journal of Statistical Physics - We consider the d-dimensional fractional Anderson model $$(-\Delta )^\alpha + V_\omega $$ on $$\ell ^2({\mathbb {Z}}^d)$$ where $$0<\alpha \leqslant 1$$....     

Study of Inelastic $$\boldsymbol{A}$$ ( $$\boldsymbol{p,p^{\prime}}$$ ) $$\boldsymbol{X}$$ Reaction with $${}^{\mathbf{9}}$$ Be and $${}^{\mathbf{90}}$$ Zr Nuclei at 1 GeV

Physics of Atomic Nuclei - The secondary proton polarization and differential cross sections of the ( $$p,p^{\prime}$$ ) inelastic reaction on nuclei $${}^{9}$$ Be and $${}^{90}$$ Zr at the initial...     

On the problem of splitting deformations of super Riemann surfaces

Letters in Mathematical Physics - An odd deformation of a super Riemann surface $$\mathcal {S}$$ is a deformation of $$\mathcal {S}$$ by variables of odd parity. In this article, we study the...     

On Realization of an Extremely Small Shift of MR Frequency in a Wide Range of Operating Temperatures in Rubidium Atomic Clock on 87 Rb Cell with Two Anti-Relaxation Components (Coating + Inert Gas, 40 Ar)

One of the most important problems in achieving daily frequency instability $$\sigma _{y} < 5 \cdot 10^{{ - 14}}$$ of on-board rubidium atomic clocks on absorption cell with working 87Rb atoms and mixture of buffer gases is realization of the TFS parameter — of temperature frequency shift $$\delta \nu \left( T \right)$$ at the level of $$\ \le 3 \cdot 10^{{ - 12}} /\, {^\circ } {\text{C}}.$$ The temperature dependence of the microwave “0–0” transition frequency $$\nu \left( T \right)$$ has an extremum with a small flat top ∆T ~ 0.5 °C to which the 87Rb-cell operating temperature is tuned. Significant difficulties arise in maintaining the high stability of this small ∆T zone under conditions of increased 87Rb cell operating temperature, $$T>70\, ^\circ{\rm C}$$, with an accuracy of < 0.005 °C for a day or more. To solve this problem, authors proposed a new type of 87Rb absorption cell with two dissimilar anti-relaxation (AR) components (wall coating + buffer gas, 40Ar) and created a special physical setup for optical spin pumping of 87Rb atoms at the microwave magnetic resonance frequency, $$\nu \sim \;6.834\,\;{\text{GHz}}$$, with a resolution $$0.01 \,\mathrm{H}\mathrm{z}$$. Investigations have shown TFS $$\sim 1.4 \cdot 10^{{ - 12}} /\;{{^\circ }} {\text{C}}$$ in significantly expanded (by an order of magnitude) zone, $$\Delta T$$ ≃ $$5 \left(\pm 1\right)\,\, ^\circ{\rm C} ,$$ in the operating temperature range of $$\left( {35 \div 41} \right)\;^{ \circ } {\text{C}},$$ which is ensured inside a satellite, for example. The simultaneous effect of AR-components causes the maximum mutual compensation of temperature frequency shifts in the extended ∆T zone. The experimental data show the possibility realizing daily frequency instability $$\sigma _{y} \sim 1 \cdot 10^{{ - 14}}$$ of the on-board atomic clock on 87Rb cell with two dissimilar AR-components (wall coating + inert gas, 40Ar).     

Experimental and Evaluated Data on the Photodisintegration of $${}^{{197}}$$ Au

Physics of Atomic Nuclei - The cross sections evaluated for the ( $$\gamma,1n$$ ) and ( $$\gamma,2n$$ ) partial photoneutron reactions on $${}^{\textrm{197}}$$ Au by means of objective physical...