Entanglement spectrum degeneracy and the Cardy formula in 1+1 dimensional conformal field theories

We investigate the effect of a global degeneracy in the distribution of the entanglement spectrum in conformal field theories in one spatial dimension. We relate the recently found universal expression for the entanglement Hamiltonian to the distribution of the entanglement spectrum. The main tool to establish this connection is the Cardy formula. It turns out that the Affleck-Ludwig non-integer degeneracy, appearing because of the boundary conditions induced at the entangling surface, can be directly read from the entanglement spectrum distribution. We also clarify the effect of the noninteger degeneracy on the spectrum of the partial transpose, which is the central object for quantifying the entanglement in mixed states. We show that the exact knowledge of the entanglement spectrum in some integrable spinchains provides strong analytical evidences corroborating our results

Study of the excitation of 11/2– isomeric state of the nucleus 139Се in reaction (γ, n)m in the giant E1-resonance region

The isomeric yield ratio Ym/Yg is measured in 140Се(γ, n)139m,gСе reaction in 11 - 18 MeV energy range with the step of 0.5 MeV. Using inverse matrix method the experimental cross section of 140Се(γ, n)139m,gСе reaction is estimated. Obtained excitation cross section of the isomeric state of the nucleus 139Се is comparable with the results of the theoretical calculations performed with the TALYS-1.6 program suite

Вивчення фотозбудження ізомерного стану 11/2- ізотопу 129Te в реакції (γ,n)

Dependence of isomeric ratios on the energy of gammas in the reaction 130Te(γ,n)129m,gTe gTe in the dipole resonance energie range have been investigated. Obtained experimental results have been compared with TALYS-1.0 calculations. В области энергий гигантского дипольного резонанса исследовано зависимость изомерных отношений выходов от энергии гамма-квантов в реакции 130Te(γ,n)129m,gTe. Полученные экспериментальные результаты сравниваются с расчетами, проведёнными с помощью программного пакета TALYS-1.0.В області енергій гігантського дипольного резонансу досліджено залежність ізомерних відношень виходів від енергії гамма-квантів в реакції 130Te(γ,n)129m,gTe. Одержані експериментальні результати порівнюються з розрахунками проведеними за допомогою програмного пакета TALYS-1.0.

Investigation of isomeric ratios in (γ, n) reactions on rubidium isotopes in giant dipole resonance energy region

Dependence on gamma-quanta energy of isomeric yield ratios obtained in 85Rb(γ, n)84m,gRb and 87Rb(γ, n)86m,gRb reactions within 10 - 18 MeV energy range have been studied. Thresholds of isomeric states excitations and energies of activation levels have been determined. Experimental results are compared with TALYS-1.0 calculations in the framework of statistical model

A study of isomeric yield ratios in the 124Te(γ,n)123mTe reaction in the giant E1-resonance region

Section II. Experimental Investigations of Nuclear Reactions Mechanism