Nuclear Effects in Neutrino Induced Coherent Pion Production at K2K and MiniBooNE Neutrino Energies

The coherent pion production induced by neutrinos in nuclei is studied using a delta hole model in local density approximation taking into account the renormalization of $\Delta$ properties in a nuclear medium. The pion absorption effects have been included in an eikonal approximation. These effects give a large reduction in the total cross section. The numerical results for the total cross section are found to be consistent with recent experimental results from K2K and MiniBooNE collaborations and other older experiments in the intermediate energy region.Comment: 4pages, 5figure

Distance and Similarity Measures for Soft Sets

In [P. Majumdar, S. K. Samanta, Similarity measure of soft sets, New Mathematics and Natural Computation 4(1)(2008) 1-12], the authors use matrix representation based distances of soft sets to introduce matching function and distance based similarity measures. We first give counterexamples to show that their Definition 2.7 and Lemma 3.5(3) contain errors, then improve their Lemma 4.4 making it a corllary of our result. The fundamental assumption of Majumdar et al has been shown to be flawed. This motivates us to introduce set operations based measures. We present a case (Example 28) where Majumdar-Samanta similarity measure produces an erroneous result but the measure proposed herein decides correctly. Several properties of the new measures have been presented and finally the new similarity measures have been applied to the problem of financial diagnosis of firms.Comment: 14 pages, accepted manuscript, to appear in New Mathematics and Natural Computatio

A note on “Taylor–Couette flow of a generalized second grade fluid due to a constant couple”

In this brief note, we show that the unsteady flow of a generalized second grade fluid due to a constant couple, as well as the similar flow of Newtonian and ordinary second grade fluids, ultimately becomes steady. For this, a new form of the exact solution for velocity is established. This solution is presented as a sum of the steady and transient components. The required time to reach the steady-state is obtained by graphical illustrations

Recent advances in closure of atrial septal defects and patent foramen ovale

Transcatheter closure of secundum atrial septal defect (ASD) and patent foramen ovale (PFO) is now widely accepted as an alternative to surgical closure. With currently available devices and techniques, approximately 80-90% of secundum ASDs and all PFOs can be closed percutaneously. While many devices are available, the use of any particular device is dictated largely by individual defect anatomy, device availability, long-term considerations, approval status (US Food and Drug Administration approval versus CE mark), and physician preference

Weak production of η\eta mesons induced by νμ(νˉμ)\nu_{\mu}(\bar{\nu}_\mu) at MicroBooNE energies

We have studied neutral and charged current (anti)neutrino induced $\eta$ production off the free nucleon target at MicroBooNE energies, in the light of recent results reported by the MicroBooNE collaboration for the total $\eta$ production cross section. This study has been made using a theoretical model in which the weak hadronic current receives contribution from the nonresonant Born terms as well as from the resonance excitations. The Born terms are obtained using the SU(3) symmetric chiral model, used earlier in the study of $K-$meson production. The contribution from the resonance terms is considered from the excitation of five nucleon resonances viz. $S_{11}(1535)$, $S_{11}(1650)$, $P_{11}(1710)$, $P_{11}(1880)$, and $S_{11}(1895)$. To fix the parameters of the vector current interaction, this model is first used to study the electromagnetic production of $\eta$ mesons induced by real and virtual photons, and the theoretical results have been compared with the data from the MAINZ and JLab experiments. The partially conserved axial-vector current hypothesis and generalized Goldberger-Treiman relation are used to fix the parameters of the axial-vector current interaction. The results are presented for the total cross section for the neutral and charged current induced $\eta$ production, ratio of the cross sections for the charged current to neutral current, MicroBooNE flux averaged cross section $\langle \sigma \rangle$, $\left \langle \frac{d\sigma}{dQ^2} \right\rangle$ and $\left\langle \frac{d\sigma}{dp_\eta} \right\rangle$, which may be useful in the future analysis of MicroBooNE as well as other accelerator and atmospheric neutrino experiments being performed in the ${\cal O}$(1)~GeV energy region.Comment: 18 pages, 9 figures, and 2 tables. arXiv admin note: substantial text overlap with arXiv:2211.0883

Muon Pair Production by Electron-Photon Scatterings

The cross section for muon pair productions by electrons scattering over photons, $\sigma_{MPP}$, is calculated analytically in the leading order. It is pointed out that for the center-of-mass energy range, $s \geq 5 m^{2}_{\mu}$, the cross section for $\sigma_{MPP}$ is less than $1 \mu$b. The differential energy spectrum for either of the resulting muons is given for the purpose of high-energy neutrino astronomy. An implication of our result for a recent suggestion concerning the high-energy cosmic neutrino generation through this muon pair is discussed.Comment: a comment added, to appear in Phys. Rev. D, Rapid Communicatio

Chronic insertional achilles tendon ruptures treated by suture anchor repair and augmentation with flexor hallucis longus tendon transfer

Background: Different surgical procedures have been used for treatment of chronic ruptures of the Achilles tendon with varying results. This study assesses the functional outcomes and complications of chronic insertional tears of Achilles tendon.Methods: 10 patients with chronic ruptures of the Achilles tendon were followed for a mean period of 10.3 months. Only ruptures at or near (within 1 cm) insertion were included. They were treated by direct repair of tendon to calcaneum by suture anchor. Flexor hallucis longus (FHL) tendon transfer fixed to calcaneal tunnel with an interference screw was used to augment the repair.Results: Outcome was assessed by AOFAS Ankle-Hindfoot (AHS) score. The mean preoperative score of 41.2 improved to 85.4 at final follow-up out of a total 100 points. We achieved excellent results in 80% and good outcome in 20% cases. No re-ruptures were noted. Conclusions: In insertional chronic ruptures of Achilles tendon, FHL transfer to calcaneum with interference screw fixation and repair of Achilles tendon with suture anchor is a reliable technique with good outcome and is recommended

LoanSTAR Energy Auditing: Update and Changes

Annual savings identified by detailed LoanSTAR audits during the period January, 1989 -December, 1991 are $13.7 million with an investment cost of$46.1 million. These savings represent retrofit projects in state-owned buildings, local government-owned facilities, and independent school districts, accounting for 80%, 16%, and 4% of the investment cost, respectively. A summary of retrofit projects by type is presented and modifications to chillers and chilled water systems account for 26% of the savings and 32% of the cost, followed by lighting retrofits which account for 24% of the savings and 24% of the cost. The Governor's Energy Office has implemented changes to simplify the audit process by eliminating some calculations. Independent calculations and maintenance and operating procedures calculations are no longer required, and some retrofit projects may depend on standard paybacks to identify cost savings