Angular distributions of the differential cross section for elastic scattering and Li-6 -> alpha + d resonant breakup in the B-10 + Li-6 system were measured in inverse kinematics with a 51-MeV B-10 beam. A comparison with existing data for the B-10 + Li-7 system at the same incident B-10 energy revealed an important difference in the backward angle elastic scattering, with that for B-10 + Li-6 being significantly larger in magnitude. A series of coupled channel and coupled discretized continuum channel calculations investigated the influence of B-10 and Li-7 ground state reorientation and breakup couplings on the elastic scattering. Elastic transfer of a He-4 and He-3 cluster between the Li-6 and Li-7 cores, respectively, was also investigated. Although a conclusive explanation of the observed difference in the backward angle elastic scattering between the two systems was not obtained, the elastic transfer mechanism could be definitively ruled out as a significant factor and there were indications that a difference in the effect of the breakup coupling may play a role even in these light systems. The ground state reorientation coupling in Li-7, while exhibiting an interesting interference effect with the B-10 ground state reorientation, was also found to make a negligible contribution to the difference in backward angle elastic scattering.

An extensive data set for the $^{6}\mathrm{Li}+^{15}\mathrm{N}$ system at an energy ${E}_{\mathrm{c}.\mathrm{m}.}=23.1$ MeV, consisting of elastic and inelastic scattering to excited states of $^{15}\mathrm{N}$ and the ${3}_{1}^{+}$, ${2}_{1}^{+}$, and ${1}_{1}^{+}$ spin-orbit triplet of $L=2$, $T=0$ resonances in $^{6}\mathrm{Li}$, was analyzed with a single calculation including the $^{6}\mathrm{Li}\ensuremath{\rightarrow}\ensuremath{\alpha}+d$ breakup, excitation of the $^{15}\mathrm{N}$ levels, and the $^{15}\mathrm{N}(^{6}\mathrm{Li},^{7}\mathrm{Li})^{14}\mathrm{N}$ one-neutron pickup reaction employing the coupled discretized continuum channel, coupled channel, and coupled reaction channel techniques, respectively. Since the experiment was performed in inverse kinematics, and owing to the specific structure properties of $^{15}\mathrm{N}$, it was possible to measure an angular distribution for population of the ${1}_{1}^{+}$ resonance of $^{6}\mathrm{Li}$ for the first time, without the need for time-consuming and complicated coincidence measurements through detection of the scattered $^{15}\mathrm{N}$. A good description of the cross sections for populating all three $^{6}\mathrm{Li}$ resonances was obtained, confirming the validity of the $\ensuremath{\alpha}+d$ cluster model of $^{6}\mathrm{Li}$. In the methodology adopted the surface absorption was mostly generated by the included couplings, and while the $^{6}\mathrm{Li}$ breakup had the most important influence on the elastic scattering, coupling to the $^{15}\mathrm{N}$ inelastic excitations was also found to have a significant effect, particularly at midrange angles. By contrast, the one-neutron pickup coupling had a negligible effect on the other channels.

An extensive data set for the Li-6+ N-15 system at an energy E-c. m. = 23.1 MeV, consisting of elastic and inelastic scattering to excited states of N-15 and the 3(1)(+), 2(1)(+) , and 1(1)(+) spin-orbit triplet of L = 2, T = 0 resonances in 6Li, was analyzed with a single calculation including the Li-6 ->alpha + d breakup, excitation of the N-15 levels, and the N-15(Li-6, 7Li) N-14 one-neutron pickup reaction employing the coupled discretized continuum channel, coupled channel, and coupled reaction channel techniques, respectively. Since the experiment was performed in inverse kinematics, and owing to the specific structure properties of N-15, it was possible to measure an angular distribution for population of the 1(1)(+) resonance of Li-6 for the first time, without the need for time-consuming and complicated coincidence measurements through detection of the scattered N-15. A good description of the cross sections for populating all three Li-6 resonances was obtained, confirming the validity of the a + d cluster model of Li-6. In the methodology adopted the surface absorption was mostly generated by the included couplings, and while the Li-6 breakup had the most important influence on the elastic scattering, coupling to the N-15 inelastic excitations was also found to have a significant effect, particularly at midrange angles. By contrast, the one-neutron pickup coupling had a negligible effect on the other channels.

An extensive data set for the $^{6}\mathrm{Li}+^{15}\mathrm{N}$ system at an energy ${E}_{\mathrm{c}.\mathrm{m}.}=23.1$ MeV, consisting of elastic and inelastic scattering to excited states of $^{15}\mathrm{N}$ and the ${3}_{1}^{+}$, ${2}_{1}^{+}$, and ${1}_{1}^{+}$ spin-orbit triplet of $L=2$, $T=0$ resonances in $^{6}\mathrm{Li}$, was analyzed with a single calculation including the $^{6}\mathrm{Li}\ensuremath{\rightarrow}\ensuremath{\alpha}+d$ breakup, excitation of the $^{15}\mathrm{N}$ levels, and the $^{15}\mathrm{N}(^{6}\mathrm{Li},^{7}\mathrm{Li})^{14}\mathrm{N}$ one-neutron pickup reaction employing the coupled discretized continuum channel, coupled channel, and coupled reaction channel techniques, respectively. Since the experiment was performed in inverse kinematics, and owing to the specific structure properties of $^{15}\mathrm{N}$, it was possible to measure an angular distribution for population of the ${1}_{1}^{+}$ resonance of $^{6}\mathrm{Li}$ for the first time, without the need for time-consuming and complicated coincidence measurements through detection of the scattered $^{15}\mathrm{N}$. A good description of the cross sections for populating all three $^{6}\mathrm{Li}$ resonances was obtained, confirming the validity of the $\ensuremath{\alpha}+d$ cluster model of $^{6}\mathrm{Li}$. In the methodology adopted the surface absorption was mostly generated by the included couplings, and while the $^{6}\mathrm{Li}$ breakup had the most important influence on the elastic scattering, coupling to the $^{15}\mathrm{N}$ inelastic excitations was also found to have a significant effect, particularly at midrange angles. By contrast, the one-neutron pickup coupling had a negligible effect on the other channels.

Angular distributions of the N-15+C-12 elastic and inelastic scattering were measured at Elab (N-15) = 81 MeV to study the nuclear-nuclear interactions and possible transfer contributions to the scattering. The data were analyzed with the coupled-reaction-channels (CRC) method using the N-15+C-12 optical potential of Woods-Saxon shape. The elastic and inelastic scattering as well as the most obvious one-and two-step transfer reactions were included in the channel-coupling scheme. The N-15+C-12 optical potential and deformation parameters of N-15 were deduced. The transfer reaction contributions to the N-15+C-12 elastic and inelastic scattering channels were estimated. The N-15+C-12 elastic scattering at 81 MeV was compared with the N-14+C-12 elastic scattering of N-14 beam energy 78 MeV.

Angular distributions at both forward and backward angles for the C-12(N-15, C-14,)N-13 reaction were measured at the energy E-lab (N-15) = 81 MeV for ground and exited states of C-14 and N-13 nuclei by detecting both particles at forward angles. Coupled-reaction-channels (CRC) calculations using spectroscopic amplitudes calculated within the translational invariant shell model (TISM) for transferring nucleons and clusters were carried out. These calculations describe the origin of the observed highly oscillatory large angle data as two neutron transfer while the less structured forward angle data is by proton transfer. Multi-step and other nucleon transfers were found to give small contributions to the current data. (C) 2019 Elsevier B.V. All rights reserved.

In this paper, we exhibited the ground and excited state masses of doubly heavy Ω baryons.For this purpose, we have analytically solved the sixdimensional radial Schrödinger equation for three identical particles with the hypercentral potential by using the Ansatz method.The hypercentral potential is considered as a combination of the hypercoulomb, linear confining, and the harmonic oscillator terms which has a two-body character and turns out to be exactly hypercentral.We also incorporated the first order correction and the spin-dependent part to the confinement potential.Our calculations have been performed for the radial excited states as well as orbital excited states masses of Ω cc , Ω bb and Ω bc baryons.The obtained masses are compared with other theoretical predictions, which could be a useful tool for the interpretation of experimentally unknown doubly heavy baryons spectrum.

a S. Abdel-Samad, a J. Bojowald, d A. Budzanovski, i A. Chatterjee, g J. Ernst, h D. Frekers, a,c P. Hawranek, a,e J. Ilieva, c L. Jarczyk, a K. Kilian, d S. Kliczewski, l D. Kirillov, a,c W. Klimala, f D. Kolev, n M. Kravčíková, e T. Kutsarova, j J. Lieb, a H. Machner, a,c A. Magiera, m G. Martinská, k H. Nann, e L. Pentchev, l N. Piskunov, a D. Protić, a P. von Rossen, i B. J. Roy, l I. Sitnik, d R. Siudak, a,m M. Uličný, c A. Strzałkowski, f R. Tsenov, a,g J. Urbán, b K. Zwoll a Institut für Kernphysik, Forschungszentrum Jülich, Germany, b Zentallabor für Elektronik, Forschungszentrum Jülich, Germany, c Institute of Physics, Jagellonian University, Krakow, Poland, d Institute of Nuclear Physics, Krakow, Poland, e Institute of Nuclear Physics and Nuclear Energy, Sofia, Bulgaria, f Physics Faculty, University of Sofia, Bulgaria, g Institut für Strahlen – und Kernphysik der Universität Bonn, Germany, h Institut für Kernphysik, Universität Münster, Germany, i Nuclear physics Division, BARC, Bombay, India, j Physics department, George Mason University, Fairfax, Virginia, USA, k IUCF, Indiana University, Bloomington, Indiana, USA, l LHE, JINR Dubna, Russia, m P. J. Šafárik University, Košice, Slovakia, n Technical University Košice, Slovakia.

The results of new experimental measurements of p16O elastic scattering in the energy range of 0.6-1.0 MeV at angles of 40-160 deg. are given. Phase shift analysis of p16O elastic scattering was made using these and other experimental data on differential cross sections in excitation functions and angular distributions at energies of up to 2.5 MeV.

Background: It was suggested that the shape of the barrier height distribution can be determined not only by strong reaction channels (collective excitations) but also by weak channels such as transfers and/or noncollective excitations.Purpose: The study of the barrier height distributions for the Ne-20+ Ni-58,Ni-60,Ni-61 systems requires information on transfer cross sections at near-barrier energies.Methods: Ameasurement of the cross sections for various transfer channels at a backward angle (142 degrees), at a near-barrier energy was performed. Identification of products was based on time-of-flight and Delta E-E methods. A measurement of the angular distribution of alpha stripping in the Ne-20+ Ni-61 system was performed using a gas Delta E-E telescope.Results: For all three systems studied: Ne-20+ Ni-58, Ni-60, and Ni-61 total (sum of all transfer channels) cross sections are similar and dominated by alpha stripping.Conclusions: The results, as well as coupled reaction channel calculations, suggest that transfer is not responsible for smoothing the barrier height distribution in Ne-20+ Ni-61, supporting the hypothesis that barrier distribution shapes are influenced by noncollective excitations.

The 16O+16O fusion reaction is important in terms of the explosive oxygen burning process during late evolution stage of massive stars as well as understanding of the mechanism of low-energy heavy-ion fusion reactions. We aim to determine the excitation function for the most major exit channels, α+28Si and p+31P, toward stellar energies indirectly by the Trojan Horse Method via the 16O(20Ne, α28Si)α and 16O(20Ne, p31P)α three-body reactions. We report preliminary results involving reaction identification, and determination of the momentum distribution of α-16O intercluster motion in the projectile 20Ne nucleus.

The elastic and inelastic scattering of alpha-particles at 48.2 MeV and He-3 at 50 and 60 MeV energies on N-14 nuclei with excitation of the 3.95 MeV (1(+)) and 7.03 MeV (2(+)) states was studied. The analysis of angular distributions was performed using the coupled channels and distorted waves methods. A good description of the experimental data in the full angular range with potentials having volume integrals of the real part near 400-500 MeV fm(3) was obtained. The rainbow effects caused by refractive properties of the real nuclear potential were clearly seen in the measured angular distributions of the elastic scattering.

The scattering process on 1p-shell nuclei, having the cluster structure, can be seen in the anomaly increasing of cross sections for large angles. Most often, this increasing of cross sections is connected with mechanism of transfer of clusters or nucleons. The study of the alpha-cluster transfer mechanism in the elastic scattering of Ne-20 ions on O-16 nuclei is important for investigation burning process in evolution of the Universe immediately after the Big-Bang. Therefore new experiment on the heavy ion accelerator (Warsaw University) was carried out with a significant expansion of the range of angles up to 170 degrees in center mass system at E-Lab=50.0 MeV. Data analysis of angular distribution was performed in framework of the optical model and coupled channel method. The optimal parameters of the optical potential were obtained and the spectroscopic factor was obtained 1 for Ne-20 as alpha+O-16.

Several processes of meson production in proton-deuteron collisions have been measured simultaneously using a calibrated magnetic spectrograph. Among these processes, the η meson is seen clearly as a sharp missing-mass peak on a slowly varying background in the p + d → He + X reaction. Knowing the kinematics of the other reactions with well determined masses, it is possible to deduce a precise mass for the η meson. The final result, m(η) = 547.311 ± 0.028 (stat) ± 0.032 (syst) MeV/c, Preprint submitted to Elsevier Science 19 November 2013 is significantly lower than that found by the recent NA48 measurement, though it is consistent with values obtained in earlier counter experiments.

Baryon-to-meson Transition Distribution Amplitudes (TDAs) encoding valuable new information on hadron structure appear as building blocks in the collinear factorized description for several types of hard exclusive reactions. In this paper, we address the possibility of accessing nucleon-to-pion (πN) TDAs from \(\bar pp \to e^ + e^ - \pi ^0 \) reaction with the future P̄ANDA detector at the FAIR facility. At high center-of-mass energy and high invariant mass squared of the lepton pair q 2, the amplitude of the signal channel \(\bar pp \to e^ + e^ - \pi ^0 \) admits a QCD factorized description in terms of πN TDAs and nucleon Distribution Amplitudes (DAs) in the forward and backward kinematic regimes. Assuming the validity of this factorized description, we perform feasibility studies for measuring \(\bar pp \to e^ + e^ - \pi ^0 \) with the P̄ANDA detector. Detailed simulations on signal reconstruction efficiency as well as on rejection of the most severe background channel, i.e. \(\bar pp \to \pi ^ + \pi ^ - \pi ^0 \) were performed for the center-of-mass energy squared s = 5 GeV2 and s = 10 GeV2, in the kinematic regions 3.0 < q 2 < 4.3 GeV2 and 5 < q 2 GeV2, respectively, with a neutral pion scattered in the forward or backward cone \(\left| {\cos \theta _{\pi ^0 } } \right| > 0.5\) in the proton-antiproton center-of-mass frame. Results of the simulation show that the particle identification capabilities of the P̄ANDA detector will allow to achieve a background rejection factor of 5 · 107 (1 · 107) at low (high) q 2 for s = 5 GeV2, and of 1 · 108 (6 · 106) at low (high) q 2 for s = 10 GeV2, while keeping the signal reconstruction efficiency at around 40%. At both energies, a clean lepton signal can be reconstructed with the expected statistics corresponding to 2 fb−1 of integrated luminosity. The cross sections obtained from the simulations are used to show that a test of QCD collinear factorization can be done at the lowest order by measuring scaling laws and angular distributions. The future measurement of the signal channel cross section with P̄ANDA will provide a new test of the perturbative QCD description of a novel class of hard exclusive reactions and will open the possibility of experimentally accessing π TDAs.

Algorithms for search of communities in networks usually consist in discrete variations of links.Here we discuss a flow method, driven by a set of differential equations.Two examples are demonstrated in detail.First is a partition of a signed graph into two parts, where the proposed equations are interpreted in terms of removal of a cognitive dissonance by agents placed in the network nodes.There, the signs and values of links refer to positive or negative interpersonal relationships of different strength.Second is an application of a method akin to the previous one, dedicated to communities identification, to the Sierpiński triangle of finite size.During the time evolution, the related graphs are weighted; yet at the end, the discrete character of links is restored.In the case of the Sierpiński triangle, the method is supplemented by adding a small noise to the initial connectivity matrix.By breaking the symmetry of the network, this allows to a successful handling of overlapping nodes.

Angular distributions of the 11B + 15N elastic and inelastic scattering were measured at Elab(15N) = 84 MeV (Ec.m.=35.5MeV). The data were analyzed within the optical model and coupled-reaction-channels method. The elastic and inelastic scattering, reorientations of 11B in ground and excited states and 15N in excited states as well as the more important one- and two-step transfer reactions were included in the channels-coupling scheme. The 11B + 15N optical potential parameters as well as deformation parameters of these nuclei were deduced. The contributions of one- and two-step transfers in the 11B + 15N elastic and inelastic scattering channels were estimated. The large angle cross section is found to be structureless and of the same order of magnitude ∼0.1–0.2 mb/sr as that for 11B + 16O and 11B + 14C.

Angular distributions of deuterons elastically and inelastically scattered on Li-7 nuclei with excitation of the 0.478 MeV (J(pi) = 1/2(-)) level, and tritons from the Li-7(d, t)(6) Li reaction, corresponding to transitions to the ground (J(pi) = 1(+)) and low-lying excited states (J(pi) = 3(+) and 0(+)) of the Li-6 nucleus were measured at the 25 MeV energy. The experimental data were analyzed within the framework of the coupled reaction channels and a modified distorted-wave methods. The values of the spectroscopic factors and the asymptotic normalization coefficients for the Li-7 -> Li-6 + n vertex were extracted.

V.Z. Goldberg, M.S. Golovkov, I. Ivanov, M. Kisieliński, S. Kliczewski, M. Kowalczyk, N. Munbayev, A. Nurmukhanbetova, E. Piasecki, G. Tiourin, S. Torilov, W. Trzaska, A. Trzcińska, R. Wolski, V. Zherebchevski, and R.E. Tribble JINR, Dubna, Russia L.N. Gumilyjov Eurasian National University, Astana, Republic of Kazakhstan Heavy Ion Laboratory, University of Warsaw, Warsaw, Poland IFJ PAN, Kraków, Poland Nazarbayev University Research and Innovation System, Astana, Republic of Kazakhstan National Center for Nuclear Research, Świerk, Poland University of Jyväskylä, Finland Saint-Petersburg State University, Saint-Petersburg, Russia