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About 7,417 papers for “Multiplet”

Multiplet Separations

S. Goudsmit, C. J. Humphreys · Physical Review · 1928

Formulas for the separations of normal multiplets, arising from general configurations, are derived by reasoning from the fundamental assumption that they are due to the interaction energy between spin and orbital magnetism of the electrons. The separations are known for multiplets arising from groups of equivalent electrons, from considerations given in the preceding paper. It is shown in this investigation, by a simple treatment of the vector model, that the interaction energy for other configurations may be found in terms of that of the equivalent group and the interaction energy of the electron or group of electrons added, provided the quantum vectors of the original configuration remain unchanged. Our treatment applies only to multiplets showing reasonably close agreement with the interval rule, and which are therefore accounted for by the Russell-Saunders coupling. Examples given for illustration are taken from data on Fe and ${\mathrm{O}}^{+}$. Calculated results indicate the validity of our formulas to the extent permitted by agreement of data with the interval rule.

Cited by 19

KONISHI MULTIPLET

KONISHI, KENICHI · CINECA IRIS Institutial research information system (University of Pisa) · 2004

Cited by 0

Long multiplet bootstrap

Martina Cornagliotto, Madalena Lemos, Volker Schomerus · Journal of High Energy Physics · 2017

Applications of the bootstrap program to superconformal field theories promise unique new insights into their landscape and could even lead to the discovery of new models. Most existing results of the superconformal bootstrap were obtained form correlation functions of very special fields in short (BPS) representations of the superconformal algebra. Our main goal is to initiate a superconformal bootstrap for long multiplets, one that exploits all constraints from superprimaries and their descendants. To this end, we work out the Casimir equations for four-point correlators of long multiplets of the two-dimensional global $$ \mathcal{N}=2 $$ superconformal algebra. After constructing the full set of conformal blocks we discuss two different applications. The first one concerns two-dimensional (2,0) theories. The numerical bootstrap analysis we perform serves a twofold purpose, as a feasibility study of our long multiplet bootstrap and also as an exploration of (2,0) theories. A second line of applications is directed towards four-dimensional $$ \mathcal{N}=3 $$ SCFTs. In this context, our results imply a new bound $$ c\ge \frac{13}{24} $$ for the central charge of such models, which we argue cannot be saturated by an interacting SCFT.

Cited by 43Open access

Long multiplet bootstrap

Cornagliotto, Martina, Lemos, Madalena, Schomerus, Volker · Durham Research Online (Durham University) · 2017

Cited by 0Open access

NMR Multiplet Interpretation

Roman Valiulin · 2024

NMR Multiplet Interpretation: An Infographic Walk-Through focuses on complex first-order 1 H multiplet interpretation that the synthetic organic chemist should expect to tackle. The 2 nd edition also expands upon the interpretation of ( 1 H and 19 F) multiplets and ties the shape of multiplets to the structural features of hypothetical chemical compounds. The book provides thoroughly-visualized illustrations, embracing an elegant and intuitive methodology from the scientific literature. Moreover, it identifies core mnemonic rules and diagrams that help the reader quickly internalize key concepts. It includes progressively-challenging problems—from simple, intermediate, advanced, to expert—and corresponding colorful answer keys that are presented wholly-visually. While this is not a textbook nor a scientific publication, it does strive to be a unique learning tool that fills an apparent need for highly-visual pedagogical materials for chemists who want to develop practical confidence with first-order multiplet interpretation and prediction. It can be either a great companion to more traditional coursework in NMR spectroscopy for students or a continuing educational tool for researchers.

Cited by 0

Long multiplet bootstrap

Cornagliotto, Martina, Lemos, Madalena, Schomerus, Volker · DESY Publication Database (PUBDB) (Deutsches Elektronen-Synchrotron) · 2017

Applications of the bootstrap program to superconformal field theories promise unique new insights into their landscape and could even lead to the discovery of new models. Most existing results of the superconformal bootstrap were obtained form correlation functions of very special fields in short (BPS) representations of the superconformal algebra. Our main goal is to initiate a superconformal bootstrap for long multiplets, one that exploits all constraints from superprimaries and their descendants. To this end, we work out the Casimir equations for four-point correlators of long multiplets of the two-dimensional global $\mathcal{N}=2$ superconformal algebra. After constructing the full set of conformal blocks we discuss two different applications. The first one concerns two-dimensional (2,0) theories. The numerical bootstrap analysis we perform serves a twofold purpose, as a feasibility study of our long multiplet bootstrap and also as an exploration of (2,0) theories. A second line of applications is directed towards four-dimensional $\mathcal{N}=3$ SCFTs. In this context, our results imply a new bound $c \geqslant \tfrac{13}{24}$ for the central charge of such models. A theory that saturates this bound is not known yet.

Cited by 0Open access

Optimization for multiplet deconvolution.

Paul N. Patrone (1759957), Matthew DiSalvo (4430692), Anthony J. Kearsley (2387887) et al. · Figshare · 2023

<div><p>Signals analysis for cytometry remains a challenging task that has a significant impact on uncertainty. Conventional cytometers assume that individual measurements are well characterized by simple properties such as the signal area, width, and height. However, these approaches have difficulty distinguishing inherent biological variability from instrument artifacts and operating conditions. As a result, it is challenging to quantify uncertainty in the properties of individual cells and perform tasks such as doublet deconvolution. We address these problems via signals analysis techniques that use scale transformations to: (I) separate variation in biomarker expression from effects due to flow conditions and particle size; (II) quantify reproducibility associated with a given laser interrogation region; (III) estimate uncertainty in measurement values on a per-event basis; and (IV) extract the singlets that make up a multiplet. The key idea behind this approach is to model how variable operating conditions deform the signal shape and then use constrained optimization to “undo” these deformations for measured signals; residuals to this process characterize reproducibility. Using a recently developed microfluidic cytometer, we demonstrate that these techniques can account for instrument and measurand induced variability with a residual uncertainty of less than 2.5% in the signal shape and less than 1% in integrated area.</p></div>

Cited by 0Open access

Kapitza Multiplet Raw Data

Ethan G. Arnault, Sara Idris, Aeron McConnell et al. · Zenodo (CERN European Organization for Nuclear Research) · 2022

Data and codes for Dynamical stabilization of Multiplet Supercurrents in Multi-terminal Josephson Junctions

Cited by 0Open access

Kapitza Multiplet Raw Data

Ethan G. Arnault, Sara Idris, Aeron McConnell et al. · Zenodo (CERN European Organization for Nuclear Research) · 2022

Data and codes for Dynamical stabilization of Multiplet Supercurrents in Multi-terminal Josephson Junctions

Cited by 0Open access

cheminfo/multiplet-analysis: v2.1.4

Damien Jeannerat, Luc Patiny, cheminfo-bot et al. · Zenodo (CERN European Organization for Nuclear Research) · 2024

2.1.4 (2024-12-04) Bug Fixes type file (#51) (2b22286)

Cited by 0Open access

Bottom (70,1-) baryon multiplet

Elena Matskevich · Springer Link (Chiba Institute of Technology) · 2020

\nThe aim of this paper is to derive systems of equations for the amplitudes for the case of negative parity (70,1-) bottom nonstrange baryons and to calculate the masses of these particles. In order to calculate masses of (70,1-) bottom baryons we use the relativistic quark model. The relativistic three-quark equations of the (70,1-) bottom baryon multiplet are derived in the framework of the dispersion relation technique. The relativistic three-quark equations of the (70,1-) bottom baryon multiplet are derived. The approximate solutions of these equations using the method based on the extraction of leading singularities of the amplitude are obtained. The masses of 21 baryons are predicted.\n

Cited by 0

Linear Multiplet Formulation of

String-inspired Effective Supergravity I, Joel Giedt · 2002

The majority of the computation of the full component Lagrangian of supergravity coupled to chiral multiplets and a linear multiplet in the U(1)K formulation is presented here. The few remaining quantities to be calculated are isolated for future study. We include an anomalous U(1) factor in the gauge group, and an effective theory of gaugino and hidden sector matter condensation through static composite superfields, using the formalism of Binétruy, Gaillard and Wu. Our assumption for the form of the Kähler potential is general enough to accomodate stabilization of the dilaton at weak coupling through nonperturbative corrections to the dilaton Kähler potential. Finally, in our effective theory of gaugino condensation we provide for general couplings between the hidden sector matter condensates and other unconfined fields present in the theory. It is important to allow for this possibility since such couplings may be useful for the stabilization of matter fields which are moduli at the leading order.

Cited by 0

Scalar Multiplet Dark Matter

Hambye, T., Ling, F. -S., Honorez, L. Lopez et al. · arXiv (Cornell University) · 2009

We perform a systematic study of the phenomenology associated to models where the dark matter consists in the neutral component of a scalar SU(2)_L n-uplet, up to n=7. If one includes only the pure gauge induced annihilation cross-sections it is known that such particles provide good dark matter candidates, leading to the observed dark matter relic abundance for a particular value of their mass around the TeV scale. We show that these values actually become ranges of values -which we determine- if one takes into account the annihilations induced by the various scalar couplings appearing in these models. This leads to predictions for both direct and indirect detection signatures as a function of the dark matter mass within these ranges. Both can be largely enhanced by the quartic coupling contributions. We also explain how, if one adds right-handed neutrinos to the scalar doublet case, the results of this analysis allow to have altogether a viable dark matter candidate, successful generation of neutrino masses, and leptogenesis in a particularly minimal way with all new physics at the TeV scale.

Cited by 0Open access

Scalar Multiplet Dark Matter

Thomas Hambye, Fu-Sin Ling, Laura Lopez-Honorez et al. · 2012

We perform a systematic study of the phenomenology associated to models where the dark matter consists in the neutral component of a scalar SU(2)L n-uplet, up to n = 7. If one includes only the pure gauge induced annihilation cross-sections it is known that such particles provide good dark matter candidates, leading to the observed dark matter relic abundance for a particular value of their mass around the TeV scale. We show that these values actually become ranges of values- which we determine- if one takes into account the annihilations induced by the various scalar couplings appearing in these models. This leads to predictions for both direct and indirect detection signatures as a function of the dark matter mass within these ranges. Both can be largely enhanced by the quartic coupling contributions. We also explain how, if one adds right-handed neutrinos to the scalar doublet case, the results of this analysis allow to have altogether a viable dark matter candidate, successful generation of neutrino masses, and leptogenesis in a particularly minimal way with all new physics at the TeV scale. 1

Cited by 223

The T = 2 isobaric multiplet

P. Aguilera, F. Molina, B. Rubio et al. · MPG.PuRe (Max Planck Society) · 2025

In this paper we present our results on the decay of <sup>64</sup>Se. It is the heaviest T<sub>z</sub> = −2 nucleus that both β decays and has a stable mirror partner (T<sub>z</sub> = +2), thus allowing comparison with charge exchange reaction studies. The β decays of <sup>64</sup>Se and its descendants were studied at the RIKEN Nishina Center (Japan) following their production in the fragmentation of <sup>78</sup>Kr on a beryllium target. β-Delayed γ-ray and particle radiation was identified for each of the nuclei in the decay chain allowing us to obtain decay schemes for <sup>64</sup>Se, <sup>64</sup>As, and <sup>63</sup>Ge. Thus new excited states could be found for the descendant nuclei, including the interesting case of the N = Z nucleus <sup>64</sup>Ge. Furthermore, we observed for the first time the β-delayed proton emission of <sup>64</sup>Se and <sup>64</sup>As. Based on these results we obtained proton branching ratios of 48.0(9)% in <sup>64</sup>Se decay and 4.4(1)% in <sup>64</sup>As decay. We obtained a half-life value of 22.5(6) ms for <sup>64</sup>Se decay and half-lives slightly more precise than those in the literature for each nucleus involved in the decay chain. Using our results on the excited levels of <sup>64</sup>As and the mass excess in the literature for <sup>63</sup>Ge we obtained −39588(50) keV for the mass excess of <sup>64</sup>As. Then based on the isobaric mass multiplet equation we obtained the mass excess of −27429(88) keV for <sup>64</sup>Se by extrapolation. The mirror process of <sup>64</sup>Se β decay, the charge exchange reaction <sup>64</sup>Zn(<sup>3</sup>He, t) <sup>64</sup>Ga, has already been measured allowing us to study the mirror symmetry through the comparison of the weak force (βa decay) and strong force (charge exchange reaction). An interpretation of the decay schemes based on the idea of the antisnalogue tate is proposed.

Cited by 0