Nuclear Theory·nucl-th

Monday·December 11, 2023

12 papers—7 primary·5 cross-listed

08
[Submitted on 7 Dec 2023] (cross-list from quant-ph)
Solving the Lipkin model using quantum computers with two qubits only with a hybrid quantum-classical technique based on the Generator Coordinate Method
Yann Beaujeault-Taudiere🇫🇷 · Denis Lacroix🇫🇷
The possibility of using the generator coordinate method (GCM) using hybrid quantum-classical algorithms with reduced quantum resources is discussed. The task of preparing the basis states and calculating the various kernels involved in the GCM is assigned to the quantum computer, while the remaining tasks, such as finding the eigenvalues of a many-body problem, are delegated to classical computers for post-processing the generated kernels. This strategy reduces the quantum resources required to treat a quantum many-body problem. We apply the method to the Lipkin model. Using the permutation symmetry of the Hamiltonian, we show that, ultimately, only two qubits is enough to solve the problem regardless of the particle number. The classical computing post-processing leading to the full energy spectrum can be made using standard generalized eigenvalues techniques by diagonalizing the so-called Hill-Wheeler equation. As an alternative to this technique, we also explored how the quantum state deflation method can be adapted to the GCM problem. In this method, variational principles are iteratively designed to access the different excited states with increasing energies. The methodology proposed here is successfully applied to the Lipkin model with a minimal size of two qubits for the quantum register. The performances of the two classical post-processing approaches with respect to the statistical noise induced by the finite number of measurements and quantum devices noise are analyzed. Very satisfactory results for the full energy spectra are obtained once noise correction techniques are employed.
Comments:
12 pages, 8 figures
Subjects:
Quantum Physics (quant-ph); Nuclear Theory (nucl-th)
arXiv:
2312.04703 [pdf]
PRC(2024)·16 citations
09
[Submitted on 8 Dec 2023] (cross-list from hep-ph)
Prediction of $P_{cc}$ states in quark model
Ye Yan🇨🇳 · Hongxia Huang🇨🇳 · Xinmei Zhu🇨🇳 · Jialun Ping🇨🇳
Inspired by the observation of hidden-charm pentaquark $P_{c}$ and $P_{cs}$ states by the LHCb Collaboration, we explore the $q q c c ˉ c$ ( $q = u$ or $d$ ) pentaquark systems in the quark delocalization color screening model. The interaction between baryons and mesons and the influence of channel coupling are studied in this work. Three compact $q q c c ˉ c$ pentaquark states are obtained, whose masses are 5259 MeV with $I (J^{P})$ = $0 (1/ 2^{-})$ , 5396 MeV with $I (J^{P})$ = $1 (1/ 2^{-})$ , and 5465 MeV with $I (J^{P})$ = $1 (3/ 2^{-})$ . Two molecular states are obtained, which are $I (J^{P})$ = $0 (1/ 2^{-})$ $Λ_{c} J / ψ$ with 5367 MeV and $I (J^{P})$ = $0 (5/ 2^{-})$ $Ξ_{cc}^{*} D ˉ^{*}$ with 5690 MeV. These predicted states may provide important information for future experimental search.
Comments:
13 pages, 6 figures. arXiv admin note: text overlap with arXiv:2309.15380
Subjects:
High Energy Physics — Phenomenology (hep-ph); High Energy Physics — Experiment (hep-ex); Nuclear Theory (nucl-th)
arXiv:
2312.04977 [pdf]
PRD(2024)·10 citations
10
[Submitted on 8 Dec 2023] (cross-list from hep-ph)
Off-lightcone Wilson-line operators in gradient flow
Nora Brambilla🇩🇪 · Xiang-Peng Wang🇩🇪
Off-lightcone Wilson-line operators are constructed using local operators connected by time-like or space-like Wilson lines, which ensure gauge invariance. Off-lightcone Wilson-line operators have broad applications in various contexts. For instance, space-like Wilson-line operators play a crucial role in determining quasi-distribution functions (quasi-PDFs), while time-like Wilson-line operators are essential for understanding quarkonium decay and production within the potential non-relativistic QCD (pNRQCD) framework. In this work, we establish a systematic approach for calculating the matching from the gradient-flow scheme to the $MS$ scheme in the limit of small flow time for off-lightcone Wilson-line operators. By employing the one-dimensional auxiliary-field formalism, we simplify the matching procedure, reducing it to the matching of local current operators. We provide one-loop level matching coefficients for these local current operators. For the case of hadronic matrix element related to the quark quasi-PDFs, we show at one-loop level that the finite flow time effect is very small as long as the flow radius is smaller than the physical distance $z$ , which is usually satisfied in lattice gradient flow computations. Applications include lattice gradient flow computations of quark/gluon quasi-PDFs, gluonic correlators related to quarkonium decay and production in pNRQCD, and spin-dependent potentials in terms of chromoelectric and chromomagnetic field insertions into a Wilson loop.
Comments:
Published version, including updating footnote 5 and Note Added for comparison with existing calculation, and correcting several text typos
Subjects:
High Energy Physics — Phenomenology (hep-ph); High Energy Physics — Lattice (hep-lat); Nuclear Theory (nucl-th)
arXiv:
2312.05032 [pdf]
JHEP(2024)·20 citations
11
[Submitted on 8 Dec 2023] (cross-list from nucl-ex)
Measurement of yields and angular distributions of $γ$ -quanta from the interaction of $14.1$ MeV neutrons with oxygen, phosphorus and sulfur
D.N. Grozdanov · N.A. Fedorov · S.B. Dabylova · Yu.N. Kopatch · I.N. Ruskov · V.R. Skoy · T.Yu. Tretyakova · C. Hramco · P.I. Kharlamov · G.V. Pampushik · P.G. Filonchik · A.V. Andreev
A study of the inelastic scattering of neutrons with an energy of $14.1$ ~MeV on the nuclei of oxygen, phosphorus and sulfur was carried out at the TANGRA facility at JINR (Dubna). The purpose of the experiment was to refine existing and obtain new data on the yields and angular distributions of $γ$ -quanta emitted by the studied nuclei as a result of neutron-induced nuclear reactions using the tagged neutron method. Two types of detector systems were used to register $γ$ -quanta. The $γ$ -ray yields were measured using a high-purity germanium (HPGe) detector. The angular distributions of $γ$ -rays were obtained using a system of 18 scintillation detectors based on bismuth germanite Bi $_{4}$ Ge $_{3}$ O $_{12}$ (BGO) located around the sample. As a result of the studies carried out, the yields of two transitions for the reaction of tagged neutrons with $^{16}$ O, nine transitions for the reaction with $^{31}$ P, and nine transitions for the reaction with $^{32}$ S were measured for the first time. The angular anisotropy of the $γ$ -radiation accompanying the inelastic scattering of neutrons with an energy of $14.1$ ~MeV on $^{31}$ P nuclei was also measured for the first time.
Comments:
16 pages, 11 figures. Accepted for publication in Chinese Physics C
Subjects:
Nuclear Experiment (nucl-ex); Nuclear Theory (nucl-th)
arXiv:
2312.05105 [pdf]
CPC(2024)·6 citations
12
[Submitted on 8 Dec 2023] (cross-list from hep-ph)
Gravitational $p \to Δ^{+}$ transition form factors in chiral perturbation theory
H. Alharazin🇩🇪 · B.-D. Sun🇩🇪 · E. Epelbaum🇩🇪 · J. Gegelia🇩🇪 · U.-G. Meißner🇬🇪
The gravitational form factors of the transition from the proton to the $Δ^{+}$ resonance are calculated to leading one-loop order using a manifestly Lorentz-invariant formulation of chiral perturbation theory. We take into account the leading electromagnetic and strong isospin-violating effects. The loop contributions to the transition form factors are found to be free of power-counting violating pieces, which is consistent with the absence of tree-level diagrams at the considered order. In this sense, our results can be regarded as predictions of chiral perturbation theory.
Comments:
arXiv admin note: text overlap with arXiv:2209.01233
Subjects:
High Energy Physics — Phenomenology (hep-ph); Nuclear Theory (nucl-th)
arXiv:
2312.05193 [pdf]
JHEP(2024)·22 citations

Affiliations

first authorsco-authorsvia INSPIRE

Solving the Lipkin model using quantum computers with two qubits only with a hybrid quantum-classical technique based on the Generator Coordinate Method

Prediction of Pcc​ states in quark model

Off-lightcone Wilson-line operators in gradient flow

Measurement of yields and angular distributions of γ-quanta from the interaction of 14.1 MeV neutrons with oxygen, phosphorus and sulfur

Gravitational p→Δ+ transition form factors in chiral perturbation theory

Affiliations

Prediction of $P_{cc}$ states in quark model

Measurement of yields and angular distributions of $γ$ -quanta from the interaction of $14.1$ MeV neutrons with oxygen, phosphorus and sulfur

Gravitational $p \to Δ^{+}$ transition form factors in chiral perturbation theory