arXiv subjects

A. Candiello

Publications and source records attributed to A. Candiello.

6 recordsLinked to original sources

arXiv2026

Nuclear Charge Radii of Sr Isotopes: Reevaluation based on Transition Frequency Measurements in the $5s-5p-4d$ manifold in Sr$^+$

High-precision quasi-simultaneous collinear and anticollinear laser spectroscopy was performed on the $5s\,^2S_{1/2}\rightarrow 5p\,^2P_{1/2}$ (D1), $5s\,^2S_{1/2}\rightarrow 5p\,^2P_{3/2}$ (D2), and three $4d\rightarrow 5p$ transitions in the naturally abundant Sr$^+$ isotopes. Absolute transition frequencies were determined with uncertainties as low as $600$ kHz, while common-mode rejection enabled the extraction of isotope shifts with uncertainties down to $200$ kHz, one order of magnitude smaller than previously achieved. The uncertainties of the hyperfine-structure constants of the $5p$ states and the $4d\,^2D_{3/2}$ state in $^{87}$Sr were also improved. A King-plot analysis yielded a field-shift ratio of the D2 and D1 lines of $F_{\mathrm{D2}}/F_{\mathrm{D1}}=1.004(5)$, which lies within the theoretically allowed region and provides a benchmark for atomic-structure calculations. Using data from all stable isotopes and investigated transitions, we compare field- and mass-shift constants obtained using several established approaches, ranging from King plots based entirely on experimental input to state-of-the-art \textit{ab initio} atomic-structure calculations. We show that, above $N=50$, the extracted charge radii depend strongly on the approach used.

physics.atom-ph↗

arXiv2026

Quenching of the proton $\pi0p_{3/2}$-$\pi0p_{1/2}$ spin-orbit splitting in $^{20}$O and the effect of the tensor force

We present the first direct measurement of the Z=6 shell gap in the neutron-rich 20O nucleus. The one-proton removal transfer reaction 2H(20O,3He)19N has been studied using the ACTAR TPC setup at GANIL. The use of ACTAR TPC enabled the measurement of low-cross section proton-removal reactions while preserving resolution. Eight p-hole states with l=1 were identified in 19N accounting for total strengths of 86% and 72% of the 0p3/2 and 0p1/2 single-particle orbitals, respectively. The energies and spectroscopic factors of the measured states allowed to determine the proton spin-orbit splitting 0p3/2 - 0p1/2 in 20O. The Z=6 shell gap has been established to be 5.30(14) MeV. These findings indicate a reduction of the Z=6 shell gap while adding neutrons to the sd-valence orbitals, consistent with the effects of the tensor force predicted by state-of-the-art shell model interaction SFO-tls while at variance with the emergence of a large Z=6 gap observed in other studies.

nucl-ex↗

arXiv1994

k-Anomalies and Space-Time Supersymmetry in the Green-Schwarz Heterotic Superstring

The computation of $κ$-anomalies in the Green-Schwarz heterotic superstring sigma-model and the corresponding Wess-Zumino consistency condition constitute a powerful alternative approach for the derivation of manifestly supersymmetric string effective actions. With respect to the beta-function approach this technique presents the advantage that a result which is obtained with the computation of beta-functions at $n$ loops can be obtained through the calculation of $κ$-anomalies at \hbox{$n-1$} loops. In this paper we derive by a direct one-loop perturbative computation the $κ$-anomaly associated to the Yang-Mills Chern-Simons threeform and, for the first time, the one associated to the Lorentz Chern-Simons threeform. Contrary to what is often stated in the literature we show that the Lorentz $κ$-anomaly gets contributions from the integration over both the fermionic {\it and\/} bosonic degrees of freedom of the string. A careful analysis of the absolute coefficients of all these anomalies reveals that they can be absorbed by setting $dH={α'\over4}(\trace F^2-\trace R^2)$, where $α'$ is the string tension, the expected result. We show that this relation ensures also the absence of gauge and Lorentz anomalies in the sigma-model effective action. We evidenciate the presence of infrared divergences.

hep-th↗

arXiv1994

The supersymmetric version of the Green--Schwarz anomaly cancellation mechanism

The $N=1$, $D=10$ Supergravity--Super--Yang--Mills (SUGRA-SYM) theory is plagued by ABBJ gauge and Lorentz anomalies which are cancelled via the Green-Schwarz anomaly cancellation mechanism. Due to the fact that the ABBJ anomalies are not invariant under supersymmetry (SUSY) transformations one concludes that the theory is plagued also by a SUSY anomaly. For the gauge groups $SO(32)$ and $E_8\times E_8$ we compute this SUSY anomaly, by solving a coupled cohomology problem, and we show that it can be cancelled by subtracting from the action the known Green--Schwarz counterterm, the same which cancels also the ABBJ anomaly, the expected result. Finally, we argue that the corresponding mechanism does not apply in the dual SUGRA-SYM, related to the heterotic five-brane.

hep-th↗

arXiv1994

WBase: a C package to reduce tensor products of Lie algebra representations

It is nearly twenty years that there exist computer programs to reduce products of Lie algebra irreps. This is a contribution in the field that uses a modern computer language (``C'') in a highly structured and object-oriented way. This gives the benefits of high portability, efficiency, and makes it easier to include the functions in user programs. Characteristic of this set of routines is the {\it all-dynamic} approach for the use of memory, so that the package only uses the memory resources as needed.

hep-th↗

arXiv1993

Duality in Supergravity Theories

We present a unified treatment in superspace of the two dual formulations of $D=10$, $N=1$ {\it pure} supergravity based on a strictly super-geometrical framework: the only fundamental objects are the super Riemann curvature and torsion, and the related Bianchi identities are sufficient to set the theory on shell; there is no need to introduce, from the beginning, closed three- or seven-superforms. This formulation extends also to {\it non minimal} models. Moreover, in this framework the algebraic analogy between pure super Yang--Mills theories and pure supergravity in $D=10$ is manifest. As an additional outcome in the present formulation the supersymmetric partner of the ABBJ-Lorentz anomaly in pure $D=10$ supergravity can be computed in complete analogy to the ABBJ-gauge anomaly in supersymmetric Yang--Mills theories in ten dimensions. In the same framework we attack the issue of duality in $N=1$, $D=11$ supergravity showing in detail that duality holds at the kinematical level in superspace while it is broken by the dynamics. We discuss also possible extensions of this theory which could be related to quantum corrections of the eleven dimensional membrane.

hep-th↗