Muon Capture Constraints on Sterile Neutrino Properties

We show that ordinary and radiative muon capture impose stringent constraints on sterile neutrino properties. In particular, we consider a sterile neutrino with a mass between 40 to $80 {\rm MeV}$ that has a large mixing with the muon neutrino and decays predominantly into a photon and light neutrinos due to a large transition magnetic moment. Such a model was suggested as a possible resolution to the puzzle presented by the results of the LSND, KARMEN, and MiniBooNE experiments. We find that the scenario with the radiative decay to massless neutrinos is ruled out by measurements of the radiative muon capture rates at TRIUMF in the relevant mass range by a factor of a few in the squared mixing angle. These constraints are complementary to those imposed by the process of electromagnetic upscattering and de-excitation of beam neutrinos inside the neutrino detectors induced by a large transition magnetic moment. The latter provide stringent constraints on the size of the transitional magnetic moment between muon, electron neutrinos and $N$. We also show that further extension of the model with another massive neutrino in the final state of the radiative decay may be used to bypass the constraints derived in this work.Comment: 5 pages, 5 figures, revtex4-1. v2: updated to consider anisotropic sterile neutrino decay and a way of relaxing the RMC constraints by introducing another massive sterile neutrino; improved estimate of decay probability in targe

FURTHER ON THE PROBLEM OF QUANTITATIVE DETERMINATION OF CHOLESTEROL IN CONCREMENTS : Communication II

No abstract

ULTRASOUND AND ORGANIC ACIDS INVESTIGATIONS ON MINERALIZED BIOLOGICAL STRUCTURES. FIFTH COMMUNICATION. DEMINERALIZATION OF BIO-STRUCTURES (BONES AND SHELLS) WITH COMPLEXON III SOLUTION IN ULTRASOUND ENVIRONMENT

No abstract

Jacobi Identity for Vertex Algebras in Higher Dimensions

Vertex algebras in higher dimensions provide an algebraic framework for investigating axiomatic quantum field theory with global conformal invariance. We develop further the theory of such vertex algebras by introducing formal calculus techniques and investigating the notion of polylocal fields. We derive a Jacobi identity which together with the vacuum axiom can be taken as an equivalent definition of vertex algebra.Comment: 35 pages, references adde

Proton Zemach radius from measurements of the hyperfine splitting of hydrogen and muonic hydrogen

While measurements of the hyperfine structure of hydrogen-like atoms are traditionally regarded as test of bound-state QED, we assume that theoretical QED predictions are accurate and discuss the information about the electromagnetic structure of protons that could be extracted from the experimental values of the ground state hyperfine splitting in hydrogen and muonic hydrogen. Using recent theoretical results on the proton polarizability effects and the experimental hydrogen hyperfine splitting we obtain for the Zemach radius of the proton the value 1.040(16) fm. We compare it to the various theoretical estimates the uncertainty of which is shown to be larger that 0.016 fm. This point of view gives quite convincing arguments in support of projects to measure the hyperfine splitting of muonic hydrogen.Comment: Submitted to Phys. Rev.

Supersymmetric vertex algebras

We define and study the structure of SUSY Lie conformal and vertex algebras. This leads to effective rules for computations with superfields.Comment: 71 page

Precision Spectroscopy of Molecular Hydrogen Ions: Towards Frequency Metrology of Particle Masses

We describe the current status of high-precision ab initio calculations of the spectra of molecular hydrogen ions (H_2^+ and HD^+) and of two experiments for vibrational spectroscopy. The perspectives for a comparison between theory and experiment at a level of 1 ppb are considered.Comment: 26 pages, 13 figures, 1 table, to appear in "Precision Physics of Simple Atomic Systems", Lecture Notes in Physics, Springer, 200

ON ТНЕ QUANTIТAТIVE DEТERMINATION OF CONCREMENTS

In our previous report the results were presented of comparative studies of methods for quantitative determination of calcium, magnesium, oxalate and phosphate ions in model solutions of concrements. The experimental data obtained indicate that the following methods may bе considered the most appropriate:1. Complexometric determination of Са2+ with 0,002 М solution of complexon III with fluorexon - thymolphthalein as indicator.2. Simultaneous complexometric determination of Са2-+ аnd Mg2 + а separate determination of Са2+ and detection of the amount of Mg2+ through the existing difference. 3. Plumbometric determination of C2O42 - with 0,1 М solution of Рb(NО3)2.4. Direct complexometric determination of РO43 - with 0,01 M solution of MgSO4. The purpose of the prelimiпary work was to evaluate contemporary methods for the determination of Ca2+, Mg2+, С2O42 - and РO43 - first оn model solutions аnd then on native concrements. In the present work some results are reported of the quantitative study of concrements of renal or vesical origin. The materials are obtained at the Surgical Clinic and the Propedeutic Iпternal Clinic at the Higher Medical Institute in Varna. Data presented are compaired with data obtained bу means of other methods

On the Positronium g-factor

In this letter, we recall the main facts concerning the g-factor of positronium and we show how the value of the g-factor of the positronium is important. Taking it better into consideration may provide a solution to the reported discrepancy between QED theory and experiments concerning the hyperfine splitting of the fundamental level of the positronium. We also give the only experimental value that existing experiments can provide, $g_{\mathrm{Ps}}=2.0023\pm 0.0012$ at $3\sigma$.Comment: Submitted to EPJ

ON ТНЕ QUANTIТAТIVE DEТERMINATION OF CONCREMENTS

The chemical composition of concrements has been of clinical interest for long. For that reason methods for its determination have already been devised. А method for the qualitative examination of concrements is proposed bу Halman. These methods are old in many respects and do not meet the present capacities of chemical analysis. А method for quantitative determination has been proposed also bу Schpet and Кeiser, but this method is neither contemporary.The interest shown in internal and urological practice toward the quantitative composition of concrements stimulated us to elaborate а method for quantitative analysis, primarily of renal and vesical concrements. We directed our attention mainly toward modern methods. Our definite experimental work consisted of the following: 1) comparative study of known methods on model solutions prepared bу us; 2) application of selected methods for definite analysis of concrements. We chose mainly complexometric methods which imvosed а necessity to specify the conditions for determination of Са +, Mg2+, C2O42-, РO43- in model solutions, resembling concrement solutions. The results are reported in the present work