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Method: Measuring excitation functions for $^{6}$He+$alpha$ scattering, populating states in the excitation energy range from 4.5 MeV to 8 MeV in $^{10}$Be using a $^6$He rare-isotope beam and a thick helium gas target. Results: No new excited states in $^{10}$Be have been observed. Stringent limitation on the possible degree of $alpha$-clustering of the hypothetical yrast 6$^+$ state has been obtained. Conclusions: The high-spin members of the $alpha$:2n:$alpha$ molecular-like rotational band configuration, that is considered to have a 0$^+$ bandhead at 6.18 MeV, either do not exist or have small overlap with the $^{6}$He(g.s.)+$alpha$ channel.
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Elastic and inelastic alpha scatterings on $^{10}$C were measured using a 68-MeV/u radioactive $^{10}$C beam incident on the recently developed MAIKo active target system. The phenomenological effective $alpha$-$N$ interaction and the point-nucleon density distribution in the ground state were determined from the elastic scattering data. The cross sections of the inelastic alpha scattering were calculated using this interaction and density distribution and were compared with the experiment to determine the neutron quadrupole transition matrix element $M_{n}$ between the ground state and the $2_{1}^{+}$ state at $E_{x} = 3.35$ MeV in $^{10}$C. The deduced neutron transition matrix element is $M_{n} = 6.9, pm0.7, mathrm{(fit)}, pm1.2, mathrm{(sys)}$ fm$^{2}$. The ratio of the neutron transition strength to proton transition strength was determined as $M_{n}/M_{p} = 1.05, pm0.11, mathrm{(fit)}, pm0.17, mathrm{(sys)}$, which indicates that the quadrupole transition between the ground state and the $2_{1}^{+}$ state in $^{10}$C is less neutron dominant compared to that in $^{16}$C.
Our present understanding of the structure of the Hoyle state in $^{12}$C and other near-threshold states in $alpha$-conjugate nuclei is reviewed in the framework of the $alpha$-condensate model. The $^{12}$C Hoyle state, in particular, is a candidate for $alpha$-condensation, due to its large radius and $alpha$-cluster structure. The predicted features of nuclear $alpha$-particle condensates are reviewed along with a discussion of their experimental indicators, with a focus on precision break-up measurements. Two experiments are discussed in detail, firstly concerning the break-up of $^{12}$C and then the decays of heavier nuclei. With more theoretical input, and increasingly complex detector setups, precision break-up measurements can, in principle, provide insight into the structures of states in $alpha$-conjugate nuclei. However, the commonly-held belief that the decay of a condensate state will result in $N$ $alpha$-particles is challenged. We further conclude that unambiguously characterising excited states built on $alpha$-condensates is difficult, despite improvements in detector technology.
A new search for production of correlated e+e- pairs in the alpha decay of 241Am has been carried out deep underground at the Gran Sasso National Laboratory of the I.N.F.N. by using pairs of NaI(Tl) detectors of the DAMA/LIBRA set-up. The experimental data show an excess of double coincidences of events with energy around 511 keV in faced pairs of detectors, which are not explained by known side reactions. This measured excess gives a relative activity lambda = (4.70 pm 0.63) times 10^{-9} for the Internal Pair Production (IPP) with respect to alpha decay of 241Am; this value is of the same order of magnitude as previous determinations. In a conservative approach the upper limit lambda < 5.5 times 10^{-9} (90% C.L.) can be derived. It is worth noting that this is the first result on IPP obtained in an underground experiment, and that the lambda value obtained in the present work is independent on the live-time estimate.
The $^3$He($alpha$,$gamma$)$^7$Be reaction is a widely studied nuclear reaction; however, it is still not understood with the required precision. It has a great importance both in Big Bang nucleosynthesis and in solar hydrogen burning. The low mass number of the reaction partners makes it also suitable for testing microscopic calculations. Despite the high number of experimental studies, none of them addresses the $^3$He($alpha$,$gamma$)$^7$Be reaction cross sections above 3.1-MeV center-of-mass energy. Recently, a previously unobserved resonance in the $^6$Li(p,$gamma$)$^7$Be reaction suggested a new level in $^7$Be, which would also have an impact on the $^3$He($alpha$,$gamma$)$^7$Be reaction in the energy range above 4.0 MeV. The aim of the present experiment is to measure the $^3$He($alpha$,$gamma$)$^7$Be reaction cross section in the energy range of the proposed level. For this investigation the activation technique was used. A thin window gas-cell target confining $^3$He gas was irradiated using an $alpha$ beam. The $^7$Be produced was implanted into the exit foil. The $^7$Be activity was determined by counting the $gamma$ rays following its decay by a well-shielded high-purity germanium detector. Reaction cross sections have been determined between $E_{cm} = 4.0 - 4.4$ MeV with 0.04-MeV steps covering the energy range of the proposed nuclear level. One lower-energy cross-section point was also determined to be able to compare the results with previous studies. A constant cross section of around 10.5 $mu$barn was observed around the $^7$Be proton separation energy. An upper limit of 45 neV for the strength of a $^3$He($alpha$,$gamma$)$^7$Be resonance is derived.
New concept of clustering is discussed in $Lambda$ hypernuclei using a new-type microscopic cluster model wave function, which has a structure that constituent clusters are confined in a container, whose size is a variational parameter and which we refer to as Hyper-Tohsaki-Horiuchi-Schuck-Ropke (Hyper-THSR) wave function. By using the Hyper-THSR wave function, $2alpha + Lambda$ cluster structure in ${^{9}_Lambda{rm Be}}$ is investigated. We show that full microscopic solutions in the $2alpha + Lambda$ cluster system, which are given as $2alpha + Lambda$ Brink-GCM wave functions, are almost perfectly reproduced by the single configurations of the Hyper-THSR wave function. The squared overlaps between the both wave functions are calculated to be $99.5$%, $99.4$%, and $97.7$% for $J^pi=0^+$, $2^+$, and $4^+$ states, respectively. We also simulate the structural change by adding the $Lambda$ particle, by varying the $Lambda N$ interaction artificially. As the increase of the $Lambda N$ interaction, the $Lambda$ particle gets to move more deeply inside the core and invokes strongly the spatial core shrinkage, and accordingly distinct localized $2alpha$ clusters appear in the nucleonic intrinsic density, though in ${^{8}{rm Be}}$ rather gaslike $2alpha$-cluster structure is shown. The origin of the localization is associated with the strong effect of Pauli principle. We conclude that the container picture of the $2alpha$ and $Lambda$ clusters is essential in understanding the cluster structure in ${^{9}_Lambda{rm Be}}$, in which the very compact spatial localization of clusters is shown in the density distribution.
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