Emergence of cluster structures and collectivity within a no-core shell-model framework

An innovative symmetry-guided concept, which capitalizes on partial as well as exact symmetries that underpin the structure of nuclei, is discussed. Within this framework, ab initio applications of the theory to light nuclei reveal the origin of collective modes and the emergence a simple orderly pattern from first principles. This provides a strategy for determining the nature of bound states of nuclei in terms of a relatively small fraction of the complete shell-model space, which, in turn, can be used to explore ultra-large model spaces for a description of alpha-cluster and highly deformed structures together with the associated rotations. We find that by using only a fraction of the model space extended far beyond current no-core shell-model limits and a long-range interaction that respects the symmetries in play, the outcome reproduces characteristic features of the low-lying 0+ states in 12 C (including the elusive Hoyle state and its 2+ excitation) and agrees with ab initio results in smaller spaces. This is achieved by selecting those particle configurations and components of the interaction found to be foremost responsible for the primary physics governing clustering phenomena and large spatial deformation in the ground-state and Hoyle-state rotational bands of 12 C. For these states, we offer a novel perspective emerging out of no-core shell-model considerations, including a discussion of associated nuclear deformation, matter radii, and density distribution. The framework we find is also extensible to negative-parity states (e.g., the 3-1 state in 12C) and beyond, namely, to the low-lying 0+ states of 8Be as well as the ground-state rotational band of Ne, Mg, and Si isotopes. The findings inform key features of the nuclear interaction and point to a new insight into the formation of highly-organized simple patterns in nuclear dynamics

Emergent symmetries in atomic nuclei from first principles

An innovative symmetry-guided approach and its applications to light and intermediate-mass nuclei is discussed. This approach, with Sp(3, R) the underpinning group, is based on our recent remarkable finding, namely, we have identified the symplectic Sp(3,R) as an approximate symmetry for low-energy nuclear dynamics. This study presents the results of two complementary studies, one that utilizes realistic nucleon-nucleon interactions and unveils symmetries inherent to nuclear dynamics from first principles (or ab initio), and another study, which selects important components of the nuclear interaction to explain the primary physics responsible for emergent phenomena, such as enhanced collectivity and alpha clusters. In particular, within this symmetry-guided framework, ab initio applications of the theory to light nuclei reveal the emergence of a simple orderly pattern from first principles. This provides a strategy for determining the nature of bound states of nuclei in terms of a relatively small fraction of the complete shell-model space, which, in turn, can be used to explore ultra-large model spaces for a description of alpha-cluster and highly deformed structures together with associated rotations. We find that by using only a fraction of the model space extended far beyond current no-core shell-model limits and a long-range interaction that respects the symmetries in play, the outcome reproduces characteristic features of the low-lying 0+ states in 12C (including the elusive Hoyle state of importance to astrophysics) and agrees with ab initio results in smaller spaces. For these states, we offer a novel perspective emerging out of no-core shell-model considerations, including a discussion of associated nuclear deformation, matter radii, and density distribution. The framework we find is also extensible beyond 12C, namely, to the low-lying 0+ states of 8Be as well as the ground-state rotational band of Ne, Mg, and Si isotopes

Understanding emergent collectivity and clustering in nuclei from a symmetry-based no-core shell-model perspective

We present a detailed discussion of the structure of the low-lying positive-parity energy spectrum of C12 from a no-core shell-model perspective. The approach utilizes a fraction of the usual shell-model space and extends its multishell reach via the symmetry-based no-core symplectic shell model (NCSpM) with a simple, physically informed effective interaction. We focus on the ground-state rotational band, the Hoyle state, and its 2+ and 4+ excitations, as well as the giant monopole 0+ resonance, which is a vibrational breathing mode of the ground state. This, in turn, allows us to address the open question about the structure of the Hoyle state and its rotational band. In particular, we find that the Hoyle state is best described through deformed prolate collective modes rather than vibrational modes, while we show that the higher lying giant monopole 0+ resonance resembles the oblate deformation of the C12 ground state. In addition, we identify the giant monopole 0+ and quadrupole 2+ resonances of selected light- and intermediate-mass nuclei, along with other observables of C12, including matter rms radii, electric quadrupole moments, and E2 and E0 transition rates

No-core Symplectic Model: Exploiting Hidden Symmetry in Atomic Nuclei

We report on recent developments within the framework of the no-core symplectic shell model (NCSpM) that complements the no-core shell model (Navrátil, Vary, and Barrett) by exploiting the algebraic features of the symplectic shell model (Rowe and Rosensteel) while also allowing for high-performance computing applications, but in highly truncated, physically relevant subspaces of the complete space. The leading symplectic symmetry typically accounts for 70% to 90% of the structure of the low-lying states, a result that is only moderately dependent on the details of the selected inter-nucleon interaction. Examples for6Li,12C,16O, and20Ne are shown to illustrate the efficacy the NCSpM, and as well the strong overlap with cluster-like and pairing configurations that dominate the dynamics of low-lying states in these nuclei

Clustering and α -capture reaction rate from ab initio symmetry-adapted descriptions of Ne 20

We introduce a new framework for studying clustering and for calculating α partial widths using ab initio wave functions. We demonstrate the formalism for Ne20, by calculating the overlap between the O16+α cluster configuration and states in Ne20 computed in the abinitio symmetry-adapted no-core shell model. We present spectroscopic amplitudes and spectroscopic factors, and compare those to no-core symplectic shell-model results in larger model spaces, to gain insight into the underlying physics that drives α clustering. Specifically, we report on the α partial width of the lowest 1- resonance in Ne20, which is found to be in good agreement with experiment. We also present first no-core shell-model estimates for asymptotic normalization coefficients for the ground state, as well as for the first excited 4+ state in Ne20 that lies in a close proximity to the α+16O threshold. This outcome highlights the importance of correlations for developing cluster structures and for describing α widths. The widths can then be used to calculate α-capture reaction rates for narrow resonances of interest to astrophysics. We explore the reaction rate for the α-capture reaction O16(α,γ)20Ne at astrophysically relevant temperatures and determine its impact on simulated x-ray burst abundances

An epidemiological study of pleuropulmonary paragonimiasis among pupils in the peri-urban zone of Kumba town, Meme Division, Cameroon

BACKGROUND: Paragonimiasis have previously been reported in two zones of the Southwest Province of Cameroon including the Kupe mountain and Mundani foci. The aim of this study was to investigate the presence and epidemiology of paragonimiasis in the peri-urban zone of Kumba, Meme Division, located about 50 km away from the Kupe mountain focus. METHODS: Pupils of several government primary schools in 5 villages around Kumba underwent both parasitologic and clinical investigations in search of signs and symptoms of paragonimiasis. Mycobacterium tuberculosis was also searched for in the differential diagnosis.Freshwater crabs from neighbouring streams in the five villages were dissected in search of paragonimus metacercariae. RESULTS: Out of a total of 1482 pupils examined in all five villages, 309 individuals (147 males and 162 females) were recruited for this study based on the presence of one or more signs or symptoms of paragonimiasis. Eggs of Paragonimus africanus were found in stools and/or sputum of pupils from all five villages, giving an overall paragonimus prevalence of 2.56%. There was no significant difference in the disease prevalence between the villages (X(2 )= 8.36, P = 0.08). The prevalence of Paragonimus africanus eggs amongst pupils with symptoms of paragonimiasis was 12.3% (38 of 309). Males were infected more than females (17.0% versus 8.0%), but the difference was not significant (X(2 )= 5.76, P = 0.16). All the 38 paragonimus egg positive subjects presented with cough, 23 (60.53%) complained of chest pain while 16 (42.11%) had haemoptysis. Stool examinations also detected some intestinal parasites including Ascaris lumbricoides (29.45%), Trichuris trichiura (6.47%), Necator americanus (2.27%), Strongyloides stercoralis (1.62%), Enterobius vermicularis (0.65%), and Entamoeba histolytica (4.53%). No case of M. tuberculosis was noted. Out of a total of 85 dissected crabs (Sudanonautes africanus), 6.02 % were infected with paragonimus metacercariae. CONCLUSION: In addition to the two previously described paragonimiasis foci of Kupe mountain and Mundani, the identification of autochthonous cases of paragonimiasis in the peri-urban zone of Kumba town, makes the South West Province the most endemic zone of paragonimiasis in Cameroon at present

Prevalence of facet joint pain in chronic spinal pain of cervical, thoracic, and lumbar regions

BACKGROUND: Facet joints are a clinically important source of chronic cervical, thoracic, and lumbar spine pain. The purpose of this study was to systematically evaluate the prevalence of facet joint pain by spinal region in patients with chronic spine pain referred to an interventional pain management practice. METHODS: Five hundred consecutive patients with chronic, non-specific spine pain were evaluated. The prevalence of facet joint pain was determined using controlled comparative local anesthetic blocks (1% lidocaine or 1% lidocaine followed by 0.25% bupivacaine), in accordance with the criteria established by the International Association for the Study of Pain (IASP). The study was performed in the United States in a non-university based ambulatory interventional pain management setting. RESULTS: The prevalence of facet joint pain in patients with chronic cervical spine pain was 55% 5(95% CI, 49% – 61%), with thoracic spine pain was 42% (95% CI, 30% – 53%), and in with lumbar spine pain was 31% (95% CI, 27% – 36%). The false-positive rate with single blocks with lidocaine was 63% (95% CI, 54% – 72%) in the cervical spine, 55% (95% CI, 39% – 78%) in the thoracic spine, and 27% (95% CI, 22% – 32%) in the lumbar spine. CONCLUSION: This study demonstrated that in an interventional pain management setting, facet joints are clinically important spinal pain generators in a significant proportion of patients with chronic spinal pain. Because these patients typically have failed conservative management, including physical therapy, chiropractic treatment and analgesics, they may benefit from specific interventions designed to manage facet joint pain

From Producer Innovation to User and Open Collaborative Innovation

In this paper we assess the economic viability of innovation by producers relative to two increasingly important alternative models: innovations by single user individuals or firms, and open collaborative innovation. We analyze the design costs and architectures and communication costs associated with each model. We conclude that both innovation by individual users and open collaborative innovation increasingly compete with and may displace producer innovation in many parts of the economy. We explain why this represents a paradigm shift with respect to innovation research, policymaking, and practice. We discuss important implications and offer suggestions for further research

Functional determinants for general self-adjoint extensions of Laplace-type operators resulting from the generalized cone

In this article we consider the zeta regularized determinant of Laplace-type operators on the generalized cone. For {\it arbitrary} self-adjoint extensions of a matrix of singular ordinary differential operators modelled on the generalized cone, a closed expression for the determinant is given. The result involves a determinant of an endomorphism of a finite-dimensional vector space, the endomorphism encoding the self-adjoint extension chosen. For particular examples, like the Friedrich's extension, the answer is easily extracted from the general result. In combination with \cite{BKD}, a closed expression for the determinant of an arbitrary self-adjoint extension of the full Laplace-type operator on the generalized cone can be obtained.Comment: 27 pages, 2 figures; to appear in Manuscripta Mathematic