Physical Reliability Criteria and Special Features of Data on the Photodisintegration of $${}^{{75}}$$ As, $${}^{{127}}$$ I, $${}^{{181}}$$ Ta,and $${}^{{208}}$$ Pb Nuclei

Physics of Atomic Nuclei - The known problem of significant systematic discrepancies between the cross sections obtained for partial photoneutron reactions using beams of quasimonoenergetic...     

Measurement of Cumulative Yield of the $${}^{{103}}$$ Ru Radionuclide for $${}^{{4}}$$ He-, $${}^{{3}}$$ He-, Proton- and Deuteron-Induced Reactions on ThO $${}_{{2}}$$ Targets

Physics of Atomic Nuclei - Modular nanotransporters (MNTs) are promising technology for nuclear medicine of the present time which is based on an engineered polypeptide platform. Emitters of Auger...     

Interactive, $${F(R)}$$ and Other Cosmological Models,Recent Observational Data and $${H}_{{0}}$$ Tension

Physics of Atomic Nuclei - Different cosmological scenarios are confronted with recent observational data, in particular, models with interaction of the dark components which are interpreted as...     

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...     

Peculiarity of the $${}^{{12}}$$ C(0 $${{}^{+}}$$ ) and $${}^{{12}}$$ C(2 $${{}^{+}}$$ ) Energy Spectrum in a 3 $$\alpha$$ Model

Physics of Atomic Nuclei - Lowest energy spectrum of the $${}^{12}$$ C nucleus is analyzed in the 3 $$\alpha$$ -cluster model with a deep $$\alpha\alpha$$ potential of Buck, Friedrich and Wheatley...     

Hypergeometric $${\tau}$$ -Functions,Hurwitz Numbers and Enumeration of Paths

A multiparametric family of 2D Toda \({\tau}\) -functions of hypergeometric type is shown to provide generating functions for composite, signed Hurwitz numbers that enumerate certain classes of branched coverings of the Riemann sphere and paths in the Cayley graph of S _n . The coefficients \({{F^{c_{1}, . . . , c_{l}}_{d_{1}, . . . , d_{m}}}(\mu, \nu)}\) in their series expansion over products \({P_{\mu}P^{'}_{\nu}}\) of power sum symmetric functions in the two sets of Toda flow parameters and powers of the l + m auxiliary parameters are shown to enumerate \({|\mu|=|\nu|=n}\) fold branched covers of the Riemann sphere with specified ramification profiles \({ \mu}\) and \({\nu}\) at a pair of points, and two sets of additional branch points, satisfying certain additional conditions on their ramification profile lengths. The first group consists of l branch points, with ramification profile lengths fixed to be the numbers \({(n-c_{1}, . . . , n-c_{l})}\) ; the second consists of m further groups of “coloured” branch points, of variable number, for which the sums of the complements of the ramification profile lengths within the groups are fixed to equal the numbers \({(d_{1}, . . . , d_{m})}\). The latter are counted with signs determined by the parity of the total number of such branch points. The coefficients \({{F^{c_{1}, . . . , c_{l}}_{d_{1}, . . . , d_{m}}}(\mu, \nu)}\) are also shown to enumerate paths in the Cayley graph of the symmetric group S _n generated by transpositions, starting, as in the usual double Hurwitz case, at an element in the conjugacy class of cycle type \({\mu}\) and ending in the class of type \({\nu}\), with the first l consecutive subsequences of \({(c_{1}, . . . , c_{l})}\) transpositions strictly monotonically increasing, and the subsequent subsequences of \({(d_{1}, . . . , d_{m})}\) transpositions weakly increasing.     

Simultaneous Investigation of the Nuclear Reactions $${}^{11}$$ B $$\boldsymbol{(p,3\alpha)}$$ and $${}^{11}$$ B $$\boldsymbol{(p,n)^{11}}$$ C as a New Tool for Determining the Absolute Yield of Alpha Particles in Picosecond Plasmas

Physics of Atomic Nuclei - The results of experimental investigations devoted to initiating the promising nuclear fusion reaction $${}^{11}$$ B $$(p,3\alpha)$$ in picosecond laser plasmas at a...     

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...     

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...     

Cross-Section Calculation of ( $${n,p}$$ ) and ( $${n,2n}$$ ) Reactions for High Temperature Reactors Construction Materials Tungsten and Rhenium

Physics of Atomic Nuclei - In this study, cross-section calculations for ( $$n,2n$$ ) and ( $$n,p$$ ) reactions of Tungsten isotopes and Rhenium isotopes have been investigated using different...     

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...     

Pseudo-Hermiticity, $$\mathcal{P}\mathcal{T}$$ symmetry,and the metric operator

The main achievements of Pseudo-Hermitian Quantum Mechanics and its distinction from the indefinite-metric quantum theories are reviewed. The issue of the non-uniqueness of the metric operator and its consequences for defining the observables are discussed. A systematic perturbative expression for the most general metric operator is offered and its application for a toy model is outlined. Presented at the 3rd International Workshop “Pseudo-Hermitian Hamiltonians in Quantum Physics”, Istanbul, Turkey, June 20–22, 2005.     

Dynamics of the Neutron Transfer Process in the Reaction $${}^{{181}}$$ Ta( $${}^{{18}}$$ O, $${}^{{19}}$$ O) at an Energy of 10 MeV per Nucleon

Physics of Atomic Nuclei - The results of an experiment carried out on the MAVR high-resolution magnetic spectrometer and devoted to studying neutron transfer in the $${}^{18}\textrm{O}+^{181}$$ Ta...     

Effect of Intranuclear Cascades on the Composition and Energy of Fragments Originating from Si( $${p,x}$$ ) and Fe( $${p,x}$$ ) Nuclear Reactions

Physics of Atomic Nuclei - Quantum-mechanical models and the Monte Carlo method are used to study the composition and energies of products of nuclear reactions induced by collisions of fast protons...     

$${\mathsf{N}}$$ -Complexes as Functors,Amplitude Cohomology and Fusion Rules

We consider -complexes as functors over an appropriate linear category in order to show first that the Krull-Schmidt Theorem holds, then to prove that amplitude cohomology (called generalized cohomology by M. Dubois-Violette) only vanishes on injective functors providing a well defined functor on the stable category. For left truncated -complexes, we show that amplitude cohomology discriminates the isomorphism class up to a projective functor summand. Moreover amplitude cohomology of positive -complexes is proved to be isomorphic to an Ext functor of an indecomposable -complex inside the abelian functor category. Finally we show that for the monoidal structure of -complexes a Clebsch-Gordan formula holds, in other words the fusion rules for -complexes can be determined. This work has been supported by the projects PICT 08280 (ANPCyT), UBACYTX169, PIP-CONICET 5099 and the German Academic Exchange Service (DAAD). The second author is a research member of CONICET (Argentina) and a Regular Associate of ICTP Associate Scheme.     

Strong Resonances at High Excitation Energy in $${}^{\mathbf{17}}$$ O $$+$$ Alpha Resonance Scattering

Physics of Atomic Nuclei - The thick target inverse kinematics (TTIK) approach was used to measure excitation functions for the elastic $${}^{17}$$ O ( $$\alpha,\alpha$$ ) scattering at the initial...