Nuclear Theory·nucl-th

Thursday·June 29, 2023

9 papers—4 primary·5 cross-listed

05
[Submitted on 28 Jun 2023] (cross-list from hep-th)
Universal rapidity scaling of entanglement entropy inside hadrons from conformal invariance
Umut Gürsoy🇳🇱 · Dmitri E. Kharzeev🇺🇸 · Juan F. Pedraza🇪🇸
When a hadron is probed at high energy, a nontrivial quantum entanglement entropy inside the hadron emerges due to the lack of complete information about the hadron wave function extracted from this measurement. In the high-energy limit, the hadron becomes a maximally entangled state, with a linear dependence of entanglement entropy on rapidity, as has been found in a recent analysis based on parton description. In this paper, we use an effective conformal field theoretic description of hadrons on the light cone to show that the linear dependence of the entanglement entropy on rapidity found in parton description is a general consequence of approximate conformal invariance and does not depend on the assumption of weak coupling. Our result also provides further evidence for a duality between the parton and string descriptions of hadrons.
Comments:
5 pages, 1 figure. v2: Matches published version
Subjects:
High Energy Physics — Theory (hep-th); High Energy Physics — Phenomenology (hep-ph); Nuclear Theory (nucl-th)
arXiv:
2306.16145 [pdf]
PRD(2024)·18 citations
06
[Submitted on 28 Jun 2023] (cross-list from nucl-ex)
Intruder configurations in $^{29}$ Ne at the transition into the island of inversion: Detailed structure study of $^{28}$ Ne
H.Wang · M.Yasuda · Y.Kondo · T.Nakamura · J.A. Tostevin · K.Ogata · T.Otsuka · A.Poves · N.Shimizu · K.Yoshida · N.L.Achouri · H.Al Falou and 84 other authors
Detailed $γ$ -ray spectroscopy of the exotic neon isotope $^{28}$ Ne has been performed for the first time using the one-neutron removal reaction from $^{29}$ Ne on a liquid hydrogen target at 240~MeV/nucleon. Based on an analysis of parallel momentum distributions, a level scheme with spin-parity assignments has been constructed for $^{28}$ Ne and the negative-parity states are identified for the first time. The measured partial cross sections and momentum distributions reveal a significant intruder $p$ -wave strength providing evidence of the breakdown of the $N = 20$ and $N = 28$ shell gaps. Only a weak, possible $f$ -wave strength was observed to bound final states. Large-scale shell-model calculations with different effective interactions do not reproduce the large $p$ -wave and small $f$ -wave strength observed experimentally, indicating an ongoing challenge for a complete theoretical description of the transition into the island of inversion along the Ne isotopic chain.
Subjects:
Nuclear Experiment (nucl-ex); Nuclear Theory (nucl-th)
arXiv:
2306.16189 [pdf]
PLB(2023)·6 citations
07
[Submitted on 28 Jun 2023] (cross-list from hep-ph)
Schwinger poles of the three-gluon vertex: symmetry and dynamics
A. C. Aguilar🇧🇷 · M. N. Ferreira🇪🇸 · B. M. Oliveira🇧🇷 · J. Papavassiliou🇪🇸 · L. R. Santos🇧🇷
The implementation of the Schwinger mechanism endows gluons with a nonperturbative mass through the formation of special massless poles in the fundamental QCD vertices; due to their longitudinal character, these poles do not cause divergences in on-shell amplitudes, but induce detectable effects in the Green's functions of the theory. Particularly important in this theoretical setup is the three-gluon vertex, whose pole content extends beyond the minimal structure required for the generation of a gluon mass. In the present work we analyze these additional pole patterns by means of two distinct, but ultimately equivalent, methods: the Slavnov-Taylor identity satisfied by the three-gluon vertex, and the nonlinear Schwinger-Dyson equation that governs the dynamical evolution of this vertex. Our analysis reveals that the Slavnov-Taylor identity imposes strict model-independent constraints on the associated residues, preventing them from vanishing. Approximate versions of these constraints are subsequently recovered from the Schwinger-Dyson equation, once the elements responsible for the activation of the Schwinger mechanism have been duly incorporated. The excellent coincidence between the two approaches exposes a profound connection between symmetry and dynamics, and serves as a nontrivial self-consistency test of this particular mass generating scenario.
Comments:
39 pages, 10 figures
Subjects:
High Energy Physics — Phenomenology (hep-ph); High Energy Physics — Lattice (hep-lat); High Energy Physics — Theory (hep-th); Nuclear Theory (nucl-th)
arXiv:
2306.16283 [pdf]
EPJC(2023)·8 citations
08
[Submitted on 28 Jun 2023] (cross-list from hep-ph)
Inhomogeneous condensation in the Gross-Neveu model in noninteger spatial dimensions $1 \leq d < 3$
Laurin Pannullo🇩🇪
The Gross-Neveu model in the $N \to \infty$ approximation in $d = 1$ spatial dimensions exhibits a chiral inhomogeneous phase (IP), where the chiral condensate has a spatial dependence that spontaneously breaks translational invariance and the $Z_{2}$ chiral symmetry. This phase is absent in $d = 2$ , while in $d = 3$ its existence and extent strongly depends on the regularization and the value of the finite regulator. This work connects these three results smoothly by extending the analysis to non-integer spatial dimensions $1 \leq d < 3$ , where the model is fully renormalizable. To this end, we adapt the stability analysis, which probes the stability of the homogeneous ground state under inhomogeneous perturbations, to non-integer spatial dimensions. We find that the IP is present for all $d < 2$ and vanishes exactly at $d = 2$ . Moreover, we find no instability towards an IP for $2 \leq d < 3$ , which suggests that the IP in $d = 3$ is solely generated by the presence of a regulator.
Comments:
14 pages, 6 figures. v2: corrected an error in the analysis for figure 6, version as accepted for publication in Physical Review D
Subjects:
High Energy Physics — Phenomenology (hep-ph); Strongly Correlated Electrons (cond-mat.str-el); Nuclear Theory (nucl-th)
arXiv:
2306.16290 [pdf]
PRD(2023)·18 citations
09
[Submitted on 28 Jun 2023] (cross-list from hep-ph)
Corrections to the Forward Limit Dispersion Relations for $γ Z$ -Exchange Contributions
Qian-Qian Guo🇨🇳 · Hai-Qing Zhou🇨🇳
The weak charge of the proton $Q_{w}$ is one of the most fundamental quantities in physics. It can be determined by measuring the parity asymmetry $A_{PV}$ in elastic $e p$ scattering, where the $γ Z$ -exchange contributions are crucial. For the past fifteen years, dispersion relations (DRs) in the forward limit have been widely used as a model-independent method to estimate these contributions. In this work, we study corrections to these forward-limit DRs. We first estimate these corrections using pointlike interactions as an illustrative example. We then estimate the $γ Z$ -exchange contributions for the upcoming P2 experiment through both direct calculation and the forward-limit DRs, within the framework of low-energy effective interactions. The results indicate that the correction to the forward-limit DR for $□_{γ Z}^{V}$ is around 47\% for the upcoming P2 experiment, which will significantly modify the extracted value of $Q_{w}$ .
Comments:
Two typos have been corrected, and one footnote has been added
Subjects:
High Energy Physics — Phenomenology (hep-ph); Nuclear Experiment (nucl-ex); Nuclear Theory (nucl-th)
arXiv:
2306.16294 [pdf]
PRC(2024)·3 citations

Affiliations

first authorsco-authorsvia INSPIRE

Universal rapidity scaling of entanglement entropy inside hadrons from conformal invariance

Intruder configurations in 29Ne at the transition into the island of inversion: Detailed structure study of 28Ne

Schwinger poles of the three-gluon vertex: symmetry and dynamics

Inhomogeneous condensation in the Gross-Neveu model in noninteger spatial dimensions 1≤d<3

Corrections to the Forward Limit Dispersion Relations for γZ-Exchange Contributions

Affiliations

Intruder configurations in $^{29}$ Ne at the transition into the island of inversion: Detailed structure study of $^{28}$ Ne

Inhomogeneous condensation in the Gross-Neveu model in noninteger spatial dimensions $1 \leq d < 3$

Corrections to the Forward Limit Dispersion Relations for $γ Z$ -Exchange Contributions