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At least 271 records · Page 15

Study of the radiative pion decay

We study the radiative pion decay of {pi}{sup +}{yields}e{sup +}{nu}{sub e}{gamma} in the light-front quark model. We also summarize the result in the chiral perturbation theory. The vector and axial-vector hadronic form factors (F{sub V,A}) for the {pi}{yields}{gamma} transition are evaluated in the whole allowed momentum transfer. In terms of these momentum dependent form factors, we calculate the decay branching ratio and compare our results with the experimental data and other theoretical predictions in the literature. We also constrain the possible size of the tensor interaction in the light-front quark model.

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS↗

The Photon Impact Factor for DIS at NLO: analytic result

Using the Operator Product Expansion for high-energy scattering processes, we compute the photon impact factor at next-to-leading order accuracy. We obtain an analytic expression as a linear combination of five independent conformal tensor structures.

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS↗

STELLAR STRUCTURE AND TESTS OF MODIFIED GRAVITY

Theories that attempt to explain cosmic acceleration by modifying gravity typically introduces a long-range scalar force that needs to be screened on small scales. One common screening mechanism is the chameleon, where the scalar force is screened in environments with a sufficiently deep gravitational potential, but acts unimpeded in regions with a shallow gravitational potential. This leads to a variation in the overall gravitational G with environment. We show that such a variation can occur within a star itself, significantly affecting its evolution and structure, provided that the host galaxy is unscreened. The effect is most pronounced for red giants, which would be smaller by a factor of tens of percent and thus hotter by hundreds of Kelvin, depending on the parameters of the underlying scalar-tensor theory. Careful measurements of these stars in suitable environments (nearby dwarf galaxies not associated with groups or clusters) would provide constraints on the chameleon mechanism that are four orders of magnitude better than current large-scale structure limits and two orders of magnitude better than present solar system tests.

79 ASTRONOMY AND ASTROPHYSICS↗

Experiments with internal targets at the VEPP-3 electron storage ring

An overview of the recently completed, current, and planned experiments with internal targets at the VEPP-3 electron-positron storage ring in Novosibirsk is given. The results of the experiment to separately measure the deuteron form factors in elastic ed scattering in the range of momentum transfer Q{sup 2} = 8-15 fm{sup -2} are provided. The results of measuring the tensor analyzing power components of the tensor-polarized deuteron photodisintegration reaction in the range of {gamma}-quantum energies E{sub {gamma}}= 25-600 MeV are presented. The tensor analyzing powers of the coherent photoproduction of a neutral pion on a tensor-polarized deuteron have been measured for the first time. The almost-real photon tagging system being created is discussed. The status of the experiment under way to determine the contribution of two-photon exchange to the elastic ep scattering cross section is described.

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS↗

Stress-energy tensor induced by a bulk Dirac spinor in the Randall-Sundrum model

Motivated by the possible extension into a supersymmetric Randall-Sundrum (RS) model, we investigate the properties of the vacuum expectation value (VEV) of the stress-energy tensor for a quantized bulk Dirac spinor field in the RS geometry and compare it with that for a real scalar field. This is carried out via the Green function method based on first principles without invoking the degeneracy factor, whose validity in a warp geometry is a priori unassured. In addition, we investigate the local behavior of the Casimir energy near the two branes. One salient feature we found is that the surface divergences near the two branes have opposite signs. We argue that this is a generic feature of the fermionic Casimir energy density due to its parity transformation in the fifth dimension. Furthermore, we investigate the self-consistency of the RS metric under the quantum correction due to the stress-energy tensor. It is shown that the VEV of the stress-energy tensor and the classical one become comparable near the visible brane if k ≃ M ≃ M Pl (the requirement of no hierarchy problem), where k is the curvature of the RS warped geometry and M the five-dimensional Planck mass. In that case the self-consistency of the RS model that includes bulk fields is in doubt. If, however, k ≲ M , then an approximate self-consistency of the RS-type metric may still be satisfied.

71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSIC↗

Connes' embedding problem and Tsirelson's problem

We show that Tsirelson's problem concerning the set of quantum correlations and Connes' embedding problem on finite approximations in von Neumann algebras (known to be equivalent to Kirchberg's QWEP conjecture) are essentially equivalent. Specifically, Tsirelson's problem asks whether the set of bipartite quantum correlations generated between tensor product separated systems is the same as the set of correlations between commuting C{sup *}-algebras. Connes' embedding problem asks whether any separable II{sub 1} factor is a subfactor of the ultrapower of the hyperfinite II{sub 1} factor. We show that an affirmative answer to Connes' question implies a positive answer to Tsirelson's. Conversely, a positive answer to a matrix valued version of Tsirelson's problem implies a positive one to Connes' problem.

97 MATHEMATICS AND COMPUTING↗

The neutrino charge radius as a probe of physics beyond the standard model

In this paper, we review the search of possible physics effects beyond the standard model on the electromagnetic charge and anapole form factors, f{sub Q}(q{sup 2}) and f{sub A}(q{sup 2}), for a no massive Dirac neutrino, when these quantities are calculated in the frame of an effective electroweak Yang-Mills theory, which induces the most general SU{sub L}(2)-invariant Lorentz tensor structure of nonrenormalizable type for the WW{gamma} vertex. We found that in this frame, besides the standard model contribution, the additional contribution to f{sub Q}(q{sup 2}) and f{sub A}(q{sup 2}) (f{sub Q}{sup O{sub W}}(q{sup 2}) and f{sub A}{sup O{sub W}}(q{sup 2}), respectively) are gauge independent and finite functions of q{sup 2} after adopting a renormalization scheme. These form factors, f{sub Q}{sup O{sub W}}(q{sup 2}) and f{sub A}{sup O{sub W}}(q{sup 2}), get contribution at the one loop level only from the proper neutrino electromagnetic vertex. Besides, the relation f{sub Q}{sup eff}(q{sup 2}) = q{sup 2}f{sub A}{sup eff}(q{sup 2})(f{sub Q}{sup eff}(q{sup 2}) = f{sub Q}{sup SM}(q{sup 2})+f{sub Q}{sup O{sub W}}(q{sup 2}),f{sub A}{sup eff}(q{sup 2}) = f{sub A}{sup SM}(q{sup 2})+f{sub A}{sup O{sub W}}(q{sup 2})) is still fulfilled and hence the relation a{sub v}{sup eff} = {sup eff}/6(a{sub v}{sup eff} = a{sub v}{sup SM}+a{sub v}{sup O{sub W}}, {sup eff} = {sup SM}+ {sup O{sub W}}) is obtained, just as in the SM. Using the experimental constraint on the anomalous WW{gamma} vertex, a value for the additional contribution to the charge radius of Double-Vertical-Line {sup O{sub W}} Double-Vertical-Line Less-Than-Or-Equivalent-To 10{sup -34} cm{sup 2} is gotten, which is one order of magnitude lower than the SM value.

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS↗

Path integral factorization and the gravitational effective action

Abstract We discuss the factorization and continuity properties of fields in the Euclidean gravitational path integral with higher dimension operators constructed from powers of the Riemann tensor. We construct the boundary terms corresponding to the microcanonical ensemble and show that the saddle point approximation to the path integral with a quasilocal energy constraint generally yields a saddle point with discontinuous temperature. This extends a previous result for the Euclidean Schwarzschild–de Sitter geometry in Einstein gravity and shows that it is robust against at least some types of quantum corrections from heavy fields. As an application, we compute the entropy of SdS in D = 4 using the BTZ method. Our result matches the entropy calculated using Wald’s formula.

Astronomy & Astrophysics↗

Understanding Nucleons in the Nuclear Medium

Recent cross section (e,e'pN) short-range correlation experiments have clearly shown the strong dominance of tensor correlations for (e,e'p) missing momenta greater than the Fermi momentum; while recent D(e,e'p)n and 4He(e,e'p)t asymmetry experiments at low missing momentum have shown small changes from the free nucleon form factor. By doing asymmetry experiments as a function of missing momentum, these results can be linked together and observed as a change of sign in the measured asymmetry. This idea will be presented within the context of the recently completed Jefferson Lab Hall A quasi-elastic, polarized 3He(e,e'N) experiments (N=0,p,n,d) where the asymmetries of several reaction channels were measured with three, orthogonal target-spin directions. Together, these various experiments will help us to better understand nucleons in the nuclear medium.

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS↗

Momentum space approach to crossing symmetric CFT correlators. Part II. General spacetime dimension

Our previous work [1] constructed, in three-dimensional momentum space, a manifestly crossing symmetric basis for scalar conformal four-point functions, based on the factorization property proposed by Polyakov. This work extends this construction to general dimensional conformal field theory. To facilitate the treatment of symmetric traceless tensors, we exploit techniques of spherical harmonics in general dimensions.

71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSIC↗

DBI Galileon inflation in the light of Planck 2015

In this work we consider a DBI Galileon (DBIG) inflationary model and constrain its parameter space with the Planck 2015 and BICEP2/Keck array and Planck (BKP) joint analysis data by means of a potential independent analysis. We focus our attention on inflationary solutions characterized by a constant or varying sound speed as well as warp factor. We impose bounds on stringy aspects of the model, such as the warp factor (f) and the induced gravity parameter ( m-tilde ). We study the parameter space of the model and find that the tensor-to-scalar ratio can be as low as r ≅ 6 × 10{sup −4} and inflation happens to be at GUT scale. In addition, we obtain the tilt of the tensor power spectrum and test the standard inflationary consistency relation (r = −8n{sub t}) against the latest bounds from the combined results of BKP+Laser Interferometer Gravitational-Waves Observatory (LIGO), and find that DBIG inflation predicts a red spectral index for the tensor power spectrum.

79 ASTRONOMY AND ASTROPHYSICS↗

Complex deuteron NMR signals

To determine the spin polarization of deuterons, nuclear magnetic resonance (NMR) is used. This is necessary for polarized targets, such as for the upcoming A zz and b 1 experiment at Jefferson Lab. NMR measures the impedance of a solenoid around a deuterated sample. Although the impedance is a complex value, conventionally only the real part of the impedance has been used for this purpose. However, often the tune is not precisely real, meaning the signal has at least some small imaginary portion. This conventionally has been dealt with by an offset parameter, such as Dulya’s false asymmetry method. For vector polarization, this suffices, as the tuning is factored into the overall error of the results, and for a small phase angle doesn’t make much of a difference. However, for tensor polarization, the exact lineshape of the signal is quite significant, and treating the impedance as complex during analysis removes the need for an offset parameter. As a result, it also provides more accurate results, as the conventional false asymmetry method over- or underestimates polarization, depending on the sign of the phase angle.

McClellan, Michael [University of New Hampshire, D↗

Physics with Rare Isotope Beams

Using stable and radioactive beams provided by ATLAS nuclear reactions of special interest in astrophysics have been studied with emphasis on breakout from the hot CNO cycle to the rp-process. The masses of nuclear fragments provided by a strong fission source have been measured in order to help trace the path of the r process. 8Li ions produced by the d(7Li,8Li)n reaction have been trapped and the electrons and alphas emitted in the ensuing beta-decay measured. The neutrino directions were therefore determined, which leads to a measurement of the electron-neutrino correlation. The energies and kinematics are such that a sensitive search for any tensor admixture could be performed and an upper limit of 0.6% was placed on any such admixture. Earlier work on the electromagnetic form factors of the proton was extended. Graduate students were active participants in all of these experiments, which formed the basis for six PhD theses.

73 NUCLEAR PHYSICS AND RADIATION PHYSICS↗

Quasinormal modes for non-minimally coupled scalar fields in regular black hole spacetimes: Grey-body factors, area spectrum and shadow radius

Black hole perturbation theory is a useful approach to study interactions between black holes and fundamental fields. A particular class of black hole solutions arising out of modification of Einstein’s general theory of relativity are regular black holes (RBHs) which can be constructed using a nonlinear electrodynamic Lagrangian. Because of their importance, we are interested in studying the behavior of three kinds of such RBHs under perturbations generated by an external field. Indeed, we investigate the quasinormal modes (QNMs) of a massive scalar field propagating near the RBHs which is non-minimally coupled to the Ricci scalar-tensor of background geometry. We will attempt to find the low-lying quasinormal frequencies of the perturbations by using WKB approximation. We shall also study the relationship between the QNMs and some characteristic properties of black holes such as grey-body factors, area quantization, and shadow radius.

71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSIC↗

A continuous analogue of the tensor-train decomposition

We develop new approximation algorithms and data structures for representing and computing with multivariate functions using the functional tensor-train (FT), a continuous extension of the tensor-train (TT) decomposition. The FT represents functions using a tensor-train ansatz by replacing the three-dimensional TT cores with univariate matrix-valued functions. The main contribution of this paper is a framework to compute the FT that employs adaptive approximations of univariate fibers, and that is not connected to any tensorized discretization. The algorithm can be coupled with any univariate linear or nonlinear approximation procedure. We demonstrate that this approach can generate multivariate function approximations that are several orders of magnitude more accurate, for the same cost, than those based on the conventional approach of compressing the coefficient tensor of a tensor-product basis. Our approach is in the spirit of other continuous computation packages such as Chebfun, and yields an algorithm which requires the computation of “continuous” matrix factorizations such as the LU and QR decompositions of vector-valued functions. To support these developments, we describe continuous versions of an approximate maximum-volume cross approximation algorithm and of a rounding algorithm that re-approximates an FT by one of lower ranks. We demonstrate that our technique improves accuracy and robustness, compared to TT and quantics-TT approaches with fixed parameterizations, of high-dimensional integration, differentiation, and approximation of functions with local features such as discontinuities and other nonlinearities.

42 ENGINEERING↗

General properties of small-amplitude fluctuations in magnetized and unmagnetized collision poor plasmas. I. The dielectric tensor

The dielectric tensor of a collision poor plasma determines all the physical properties of small-amplitude fluctuations for given initial plasma particle distribution functions, as it enters the Maxwell operator as the only plasma-specific quantity. For the important class of gyrotropic initial particle distribution functions f{sub a}{sup (0)}(p{sub ||}),p{sub perpendicular} in a uniform magnetic field, we rigorously investigate the general properties of the plasma fluctuations without specifying the explicit momentum dependence of the gyrotropic distribution function. Two alternative forms of the relativistically correct dielectric tensor are derived which differ from nonrelativistic expressions in the literature. The first standard form is expressed in terms of infinite series of Bessel functions, whereas in the second form these infinite series are calculated with the Lerche-Newberger sum rules, yielding products of Bessel functions with complex indices for the individual elements of the Maxwell operator. The second form of the dielectric tensor is well suited to simplify the tensor in the special cases of parallel wave vectors and unmagnetized plasmas. For unmagnetized plasmas it is shown that aperiodic electrostatic and transverse fluctuations can only exist in symmetric distribution functions with f(-p{sub ||},p{sub perpendicular})=f(p{sub ||},p{sub perpendicular}). Because this includes isotropic distribution functions, the more thorough investigation of this special case reveals that no electrostatic and fluctuations with positive growth rates {gamma}=kcS>0 exist in an isotropic unmagnetized plasma, excluding both aperiodic (with R=0) and wave-like (with R{ne}0) instabilities, where R={omega}{sub R}/(kc) denotes the real part of the phase speed. The second form of the dielectric tensor is also most appropriate to investigate fluctuations in magnetized equal mass plasmas, such as electron-positron-pair and/or proton-antiproton plasmas. Here for arbitrary wave vector orientation the dispersion relation factorizes into three separate modes. For fluctuations with parallel wave vectors in isotropic plasmas of arbitrary composition, the electromagnetic stability of such isotropic plasma populations is proven, relativistically generalizing the known corresponding nonrelativistic theorem.

70 PLASMA PHYSICS AND FUSION TECHNOLOGY↗

Gravitational form factors of light mesons

Here, we calculate the gravitational form factors of the pion, $\sigma$ meson, and $\rho$ meson in the Nambu-Jona-Lasinio model of quantum chromodynamics. The canonical energy-momentum tensor (EMT) is used in their derivation, allowing the possibility of an antisymmetric contribution when the hadron has intrinsic spin. We show that the asymmetric graviton vertex arising from the canonical EMT satisfies a simpler Ward-Takahashi identity (WTI) than the symmetric graviton vertex of the Belinfante EMT. The necessity of fully dressing the graviton vertex through the relevant Bethe-Salpeter equation is demonstrated for observing both the WTI and a low-energy pion theorem. Lastly, we calculate static moments of the meson EMT decompositions, obtaining predictions for the meson mass radii. We find light cone mass radii of 0.27 fm for the pion, 0.32 fm for the $\sigma$, and 0.32 fm for the $\rho$. For the pion and rho, these are smaller than the light cone charge radii, respectively 0.51 fm and 0.45 fm, while we have a $\sigma$ charge radius of zero. Our light cone pion mass radius agrees with a phenomenological extraction from KEKB data.

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS↗

Polycrystalline Mg{sub 2}Si thin films: A theoretical investigation of their electronic transport properties

The electronic structures and thermoelectric properties of a polycrystalline Mg{sub 2}Si thin film have been investigated by first-principle density-functional theory (DFT) and Boltzmann transport theory calculations within the constant-relaxation time approximation. The polycrystalline thin film has been simulated by assembling three types of slabs each having the orientation (001), (110) or (111) with a thickness of about 18 Å. The effect of applying the relaxation procedure to the thin film induces disorder in the structure that has been ascertained by calculating radial distribution functions. For the calculations of the thermoelectric properties, the energy gap has been fixed at the experimental value of 0.74 eV. The thermoelectric properties, namely the Seebeck coefficient, the electrical conductivity and the power factor, have been determined at three temperatures of 350 K, 600 K and 900 K with respect to both the energy levels and the p-type and n-type doping levels. The best Seebeck coefficient is obtained at 350 K: the S{sub yy} component of the tensor amounts to about ±1000 μV K{sup −1}, depending on the type of charge carriers. However, the electrical conductivity is much too small which results in low values of the figure of merit ZT. Structure–property relationship correlations based on directional radial distribution functions allow us to tentatively draw some explanations regarding the anisotropy of the electrical conductivity. Finally, the low ZT values obtained for the polycrystalline Mg{sub 2}Si thin film are paralleled with those recently reported in the literature for bulk chalcogenide glasses. - Graphical abstract: Structure of the polycrystalline thin film of Mg{sub 2}Si. - Author-Highlights: • Polycrystalline Mg{sub 2}Si film has been modelled by DFT approach. • Thermoelectric properties have been evaluated by semi-classical Boltzmann theory. • The structure was found to be slightly disordered after relaxation. • The highest value of Seebeck coefficient reaches −1000 μV/K at 350 K. • The ZT value is estimated between 0.0175 at 350 K and 0.2 at 900 K.

37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CH↗