Nuclear Theory·nucl-th

Monday·April 29, 2024

10 papers—4 primary·6 cross-listed

05
[Submitted on 23 Apr 2024] (cross-list from quant-ph)
The extended Lipkin model: proposal for implementation in a quantum platform and machine learning analysis of its phase diagram
S. Baid🇪🇸 · A. Sáiz🇪🇸 · L. Lamata🇪🇸 · P. Pérez-Fernández🇪🇸 · A.M. Romero🇪🇸 · A. Ríos🇪🇸 · J.M. Arias🇪🇸 · J.E. García-Ramos🇪🇸
We investigate the Extended Lipkin Model (ELM), whose phase diagram mirrors that of the Interacting Boson Approximation model (IBA). Unlike the standard Lipkin model, the ELM (as the IBA) features both first- and second-order quantum shape phase transitions depending on the model parameters. Our goal is to implement the ELM on a quantum platform, leveraging Machine Learning techniques to identify its quantum phase transitions and critical lines. To achieve this, we offer: i) ground state energy calculations using a variational quantum eigensolver; ii) a detailed formulation for ELM dynamics within quantum computing, facilitating experimental exploration of the IBA phase diagram; and iii) a phase diagram determination using various Machine Learning methods. We successfully replicate the ELM ground-state energy using the Adaptive Derivative-Assembled Pseudo-Trotter ansatz Variational Quantum Eigensolver (ADAPT-VQE) algorithm across the entire phase space. Our framework ensures ELM implementation on quantum platforms with controlled errors. Lastly, our ML predictions yield a meaningful phase diagram for the model. Keywords: Quantum Platforms Nuclear Models ADAPT-VQE Quantum Shape Phase Transitions Interacting Boson Approximation Extended Lipkin Model Machine Learning
Comments:
23 pages, 14 figures
Subjects:
Quantum Physics (quant-ph); Nuclear Theory (nucl-th)
arXiv:
2404.15558 [pdf]
PRC(2024)·8 citations
06
[Submitted on 26 Apr 2024] (cross-list from hep-ph)
The Theoretical Study of $p p ˉ \to Λ ˉ Σ η$ Reaction
Aojia Xu🇨🇳 · Ruitian Li🇨🇳 · Xuan Luo🇨🇳 · Hao Sun🇨🇳
We study the production of hyperon resonances in the $p p ˉ \to Λ ˉ Σ η$ reaction within an effective Lagrangian approach. The model includes the production of $Σ (1750)$ and $Λ (1670)$ in the intermediate state excited by the $K$ and $K^{*}$ meson exchanges between the initial proton and antiproton. Due to the large coupling of $Σ (1750) Σ η$ vertex, $Σ (1750)$ is found a significant contribution near the threshold in this reaction. We provide total and differential cross section predictions for the reation and discuss the possible influence of $Σ (1750) Σ η$ vertex coupling and model parameters, which will be useful in future experimental studies. This reaction can provide a platform for studying the features of $Σ (1750)$ resonance, especially the coupling to $Σ η$ channel.
Subjects:
High Energy Physics — Phenomenology (hep-ph); Nuclear Theory (nucl-th)
arXiv:
2404.17088 [pdf]
EPJC(2024)·3 citations
07
[Submitted on 26 Apr 2024] (cross-list from hep-ph)
Distinguishing charged lepton flavor violation scenarios with inelastic $μ \to e$ conversion
W. C. Haxton🇺🇸 · Evan Rule🇺🇸
The Mu2e and COMET experiments are expected to improve existing limits on charged lepton flavor violation (CLFV) by roughly four orders of magnitude. $μ \to e$ conversion experiments are typically optimized for electrons produced without nuclear excitation, as this maximizes the electron energy and minimizes backgrounds from the free decay of the muon. Here we argue that Mu2e and COMET will be able to extract additional constraints on CLFV from inelastic $μ \to e$ conversion, given the $^{27}$ Al target they have chosen and backgrounds they anticipate. We describe CLFV scenarios in which inelastic CLFV can induce measurable distortions in the near-endpoint spectrum of conversion electrons, including cases where certain contributing operators cannot be probed in elastic $μ \to e$ conversion. We extend the nonrelativistic EFT treatment of elastic $μ \to e$ conversion to include the new nuclear operators needed for the inelastic process, evaluate the associated nuclear response functions, and describe several new-physics scenarios where the inelastic process can provide additional information on CLFV.
Comments:
5 pages, 1 figure, V2 matches PRL version
Subjects:
High Energy Physics — Phenomenology (hep-ph); Nuclear Theory (nucl-th)
arXiv:
2404.17166 [pdf]
PRL(2024)·9 citations
08
[Submitted on 26 Apr 2024] (cross-list from hep-ph)
Most general neutron decay correlations: Standard Model recoil and radiative corrections
Chien-Yeah Seng🇺🇸
To continue from our previous work Phys.Rev.D 109(2024),073007, we derive the full Standard Model prediction of the most general free neutron differential decay rate with all massive particles (neutron, proton and electron) polarized, including the $O (1/ m_{N})$ recoil corrections and $O (α / π)$ radiative corrections. For the latter we adopt the newly-developed pseudo-neutrino formalism which is compatible to realistic experimental setups, in which neutrinos and photons are not detected. We also provide readily-executable Mathematica notebooks to evaluate these corrections.
Comments:
Version accepted by PRD
Subjects:
High Energy Physics — Phenomenology (hep-ph); High Energy Physics — Experiment (hep-ex); High Energy Physics — Lattice (hep-lat); Nuclear Experiment (nucl-ex); Nuclear Theory (nucl-th)
arXiv:
2404.17200 [pdf]
PRD(2024)·2 citations
09
[Submitted on 26 Apr 2024] (cross-list from quant-ph)
Spiral flow of quantum quartic oscillator with energy cutoff
M. Girguś🇵🇱 · S. D. Głazek🇵🇱
Theory of the quantum quartic oscillator is developed with close attention to the energy cutoff one needs to impose on the system in order to approximate the smallest eigenvalues and corresponding eigenstates of its Hamiltonian by diagonalizing matrices of limited size. The matrices are obtained by evaluating matrix elements of the Hamiltonian between the associated harmonic-oscillator eigenstates and by correcting the computed matrices to compensate for their limited dimension, using the Wilsonian renormalization-group procedure. The cutoff dependence of the corrected matrices is found to be described by a spiral motion of a three-dimensional vector. This behavior is shown to result from a combination of a limit-cycle and a floating fixed-point behaviors, a distinct feature of the foundational quantum system that warrants further study. A brief discussion of the research directions concerning renormalization of polynomial interactions of degree higher than four, spontaneous symmetry breaking and coupling of more than one oscillator through the near neighbor couplings known in condensed matter and quantum field theory, is included.
Comments:
plain latex, 10 pages, 3 figures
Subjects:
Quantum Physics (quant-ph); High Energy Physics — Theory (hep-th); Nuclear Theory (nucl-th)
arXiv:
2404.17446 [pdf]
NPB(2025)·4 citations
10
[Submitted on 26 Apr 2024] (cross-list from astro-ph.SR)
Skeletal Kinetics Reduction for Astrophysical Reaction Networks
A.G.Nouri · Y. Liu · P. Givi · H. Babaee · D. Livescu
A novel methodology is developed to extract accurate skeletal reaction models for nuclear combustion. Local sensitivities of isotope mass fractions with respect to reaction rates are modeled based on the forced optimally time-dependent (f-OTD) scheme. These sensitivities are then analyzed temporally to generate skeletal models. The methodology is demonstrated by conducting skeletal reduction of constant density and temperature burning of carbon and oxygen relevant to SNe Ia. The 495-isotopes Torch model is chosen as the detailed reaction network. A map of maximum production of $^{56} Ni$ in SNe Ia is produced for different temperatures, densities, and proton to neutron ratios. The f-OTD simulations and the sensitivity analyses are then performed with initial conditions from this map. A series of skeletal models are derived and their performances are assessed by comparison against currently existing skeletal models. Previous models have been constructed intuitively by assuming the dominance of $α$ -chain reactions. The comparison of the newly generated skeletal models against previous models is based on the predicted energy release and $^{44} Ti$ and $^{56} Ni$ abundances by each model. The consequences of $y_{e} \neq = 0.5$ in the initial composition are also explored where $y_{e}$ is the electron fraction. The simulated results show that $^{56} Ni$ production decreases by decreasing $y_{e}$ as expected, and that the $^{43} Sc$ is a key isotope in proton and neutron channels toward $^{56} Ni$ production. It is shown that an f-OTD skeletal model with 150 isotopes can accurately predict the $^{56} Ni$ abundance in SNe Ia for $y_{e} ≲ 0.5$ initial conditions.
Subjects:
Solar and Stellar Astrophysics (astro-ph.SR); Nuclear Theory (nucl-th)
arXiv:
2404.17447 [pdf]
Astrophys.J.Suppl.(2024)·1 citation

Affiliations

first authorsco-authorsvia INSPIRE

The extended Lipkin model: proposal for implementation in a quantum platform and machine learning analysis of its phase diagram

The Theoretical Study of ppˉ​→ΛˉΣη Reaction

Distinguishing charged lepton flavor violation scenarios with inelastic μ→e conversion

Most general neutron decay correlations: Standard Model recoil and radiative corrections

Spiral flow of quantum quartic oscillator with energy cutoff

Skeletal Kinetics Reduction for Astrophysical Reaction Networks

Affiliations

The Theoretical Study of $p p ˉ \to Λ ˉ Σ η$ Reaction

Distinguishing charged lepton flavor violation scenarios with inelastic $μ \to e$ conversion