2,372 research outputs found

    Decay Rate of Triaxially-Deformed Proton Emitters

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    The decay rate of a triaxially-deformed proton emitter is calculated in a particle-rotor model, which is based on a deformed Woods-Saxon potential and includes a deformed spin-orbit interaction. The wave function of the I=7/2−I=7/2^{-} ground state of the deformed proton emitter 141^{141}Ho is obtained in the adiabatic limit, and a Green's function technique is used to calculate the decay rate and branching ratio to the first excited 2+^{+} state of the daughter nucleus. Only for values of the triaxial angle γ\gamma <5∘<5^{\circ} is good agreement obtained for both the total decay rate and the 2+^{+} branching ratio.Comment: 19 pages, 4 figure

    Spin Networks for Non-Compact Groups

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    Spin networks are natural generalization of Wilson loops functionals. They have been extensively studied in the case where the gauge group is compact and it has been shown that they naturally form a basis of gauge invariant observables. Physically the restriction to compact gauge group is enough for the study of Yang-mills theories, however it is well known that non-compact groups naturally arise as internal gauge groups for Lorentzian gravity models. In this context a proper construction of gauge invariant observables is needed. The purpose of this work is to define the notion of spin network states for non-compact groups. We first built, by a careful gauge fixing procedure, a natural measure and a Hilbert space structure on the space of gauge invariant graph connection. Spin networks are then defined as generalized eigenvectors of a complete set of hermitic commuting operators. We show how the delicate issue of taking the quotient of a space by non compact groups can be address in term of algebraic geometry. We finally construct the full Hilbert space containing all spin network states. Having in mind application to gravity we illustrate our results for the groups SL(2,R), SL(2,C).Comment: 43pages, many figures, some comments adde

    Role of dynamical particle-vibration coupling in reconciliation of the d3/2d_{3/2} puzzle for spherical proton emitters

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    It has been observed that decay rate for proton emission from d3/2d_{3/2} single particle state is systematically quenched compared with the prediction of a one dimensional potential model although the same model successfully accounts for measured decay rates from s1/2s_{1/2} and h11/2h_{11/2} states. We reconcile this discrepancy by solving coupled-channels equations, taking into account couplings between the proton motion and vibrational excitations of a daughter nucleus. We apply the formalism to proton emitting nuclei 160,161^{160,161}Re to show that there is a certain range of parameter set of the excitation energy and the dynamical deformation parameter for the quadrupole phonon excitation which reproduces simultaneously the experimental decay rates from the 2d3/2d_{3/2}, 3s1/2s_{1/2} and 1h11/2h_{11/2} states in these nuclei.Comment: RevTex, 12 pages, 4 eps figure

    Social Media and Dentistry

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    Numerous social media platforms are accessible to healthcare professionals and to patients. The aim of this study was to determine the role of social media platforms in the academic life of undergraduate and postgraduate dental students, and general dentists and specialists working in an academic setting. A cross-sectional survey was conducted targeting 4th and 5th year dentistry students, postgraduate clinical assistants, qualified dentists, and specialists working at an Oral Health Centre. The survey questions focused on the role of social media sites in the academic setting, and how these can be used to interact on a professional basis in sharing knowledge efficiently and for teaching, as a marketing tool and the ethics related to its use. Most participants appreciated the use of social media to share and receive information for educational purposes. They indicated that online communication increases the spread of information and knowledge efficiently and timeously. They also specified taking advantage of this efficient spread amongst the population as a marketing tool to gain patients. Though there are some individuals who do not quite agree and have suspicions for ethical or personal reasons, and they explained this by indicating that once something is posted online it cannot be removed. The study concluded that the use of social media in dentistry has positive and negative aspects, thus the hesitancy to use it and suspicions expressed by participants. Information placed online should be closely monitored even after having received permission to do so

    Hindrance of Heavy-ion Fusion at Extreme Sub-Barrier Energies in Open-shell Colliding Systems

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    The excitation function for the fusion-evaporation reaction 64Ni+100Mo has been measured down to a cross-section of ~5 nb. Extensive coupled-channels calculations have been performed, which cannot reproduce the steep fall-off of the excitation function at extreme sub-barrier energies. Thus, this system exhibits a hindrance for fusion, a phenomenon that has been discovered only recently. In the S-factor representation introduced to quantify the hindrance, a maximum is observed at E_s=120.6 MeV, which corresponds to 90% of the reference energy E_s^ref, a value expected from systematics of closed-shell systems. A systematic analysis of Ni-induced fusion reactions leading to compound nuclei with mass A=100-200 is presented in order to explore a possible dependence of the fusion hindrance on nuclear structure.Comment: 10 pages, 9 figures, Submitted to Phys. Rev.

    Modal Approach to Casimir Forces in Periodic Structures

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    We present a modal approach to calculate finite temperature Casimir interactions between two periodically modulated surfaces. The scattering formula is used and the reflection matrices of the patterned surfaces are calculated decomposing the electromagnetic field into the natural modes of the structures. The Casimir force gradient from a deeply etched silicon grating is evaluated using the modal approach and compared to experiment for validation. The Casimir force from a two dimensional periodic structure is computed and deviations from the proximity force approximation examined.Comment: 13 pages, 7 figure
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