Nuclear Theory·nucl-th

Thursday·December 29, 2022

12 papers—5 primary·7 cross-listed

01
[Submitted on 26 Dec 2022]
The Symmetry Energy: Current Status of Ab Initio Predictions vs. Empirical Constraints
Francesca Sammarruca
Infinite nuclear matter is a suitable laboratory to learn about nuclear forces in many-body systems. Modern theoretical predictions of neutron-rich matter are particularly timely in view of recent and planned measurements of observables which are sensitive to the equation of state of isospin-asymmetric matter. For these reasons, over the past several years we have taken a broad look at the equation of state of neutron-rich matter and the closely related symmetry energy, which is the focal point of this article. Its density dependence is of paramount importance for a number of nuclear and astrophysical systems, ranging from neutron skins to the structure of neutron stars. We review and discuss ab initio predictions in relation to recent empirical constraints. We emphasize and demonstrate that free-space NN data pose stringent constraints on the density dependence of the neutron matter equation of state, which essentially determines the slope of the symmetry energy at saturation.
Comments:
17 pages, 10 figures. Revised and extended version
Subjects:
Nuclear Theory (nucl-th)
arXiv:
2212.13304 [pdf]
Symmetry(2023)·7 citations
02
[Submitted on 27 Dec 2022]
Spin polarization and correlation of quarks from glasma
Avdhesh Kumar🇹🇼 · Berndt Müller🇺🇸 · Di-Lun Yang🇹🇼
We investigate the interaction of strong color fields in the glasma stage of high-energy nuclear collisions with the spins of quarks and antiquarks. We employ the perturbative solution of the quantum kinetic theory for the spin transport of (massive) quarks in a background color field governed by the linearized Yang-Mills equation and derive expressions for the quark-spin polarization and quark-antiquark spin correlation at small momentum in terms of field correlators. For the Golec-Biernat Wüsthoff dipole distribution the quark-spin polarization vanishes, but the out-of-plane spin correlation of quarks and antiquarks is nonzero. Our order-of-magnitude estimate of the correlation far exceeds that caused by vorticity effects, but does not fully explain the data for vector meson alignment. We identify possible mechanisms that could further increase the predicted spin correlation.
Comments:
36 pages, 5 figures, some errors corrected, conclusions unchanged, matched journal version
Subjects:
Nuclear Theory (nucl-th); High Energy Physics — Phenomenology (hep-ph)
arXiv:
2212.13354 [pdf]
PRD(2023)·31 citations
03
[Submitted on 27 Dec 2022]
Correlation between the nuclear structure and reaction dynamics of Ar-isotopes as projectile using the relativistic mean-field approach
Monalisa Das · J. T. Majekodunmi · N. Biswal · R. N. Panda · M. Bhuyan
This theoretical study is devoted to bridging the gap between the nuclear structure and reaction dynamics and unravelling their impact on each other, considering the neutron-rich light mass 30-60Ar isotopes. Using the relativistic mean-field with the NL3* parameter set, several bulk properties such as binding energies, charge radii, quadrupole deformation parameter, two neutron separation energy, and differential two neutron separation energy with the shell closure parameter are probed for the mentioned isotopic chain. For validation, the RMF (NL3*) results are compared with those obtained from the finite range droplet model (FRDM), Weizsacker-Skyrme model with WS3, WS* parameters and the available experimental data. Most of the participating isotopes are found to be prolate in structure and neutron shell closures are conspicuously revealed at N=14, 20, 40 but weakly shown at N=24, 28, 34. From our analysis, a central depletion in the nucleonic density is identified in 32Ar and 42-58Ar, indicating them as possible candidates for a semi-bubble-like structure. Interestingly, these results are consistent with recent theoretical and experimentally measured data. Besides, using the Glauber model, the reaction cross-sections are determined by taking 26-48Ar as projectiles and stable targets such as 12C, 16O, 40Ca, 90Zr, 124,132Sn, 208Pb and 304120. Although there is no experimental evidence for the stability of 304120, it has been predicted in Ref. [Mod. Phys. Lett. A {\bf 27}, 1250173 (2012)] as a stable nucleus. A relatively higher cross-section value is noticed between 30Ar and 32Ar which infers that 32Ar is the most stable isotope among the considered chain. Moreover, we noticed that the profile of the differential cross-sections and scattering angle are highly influenced by the mass of the target nuclei and the magnitude of the incident energy of the projectile nucleus.
Comments:
19 pages, 7 figures
Subjects:
Nuclear Theory (nucl-th)
arXiv:
2212.13411 [pdf]
NPA(2023)·2 citations
04
[Submitted on 27 Dec 2022]
On nuclear short-range correlations and the zero-energy eigenstates of the Schrodinger equation
Saar Beck · Ronen Weiss · Nir Barnea
We present a systematic analysis of the nuclear 2 and 3-body short range correlations, and their relations to the zero-energy eigenstates of the Schrodinger equation. To this end we analyze the doublet and triplet Coupled-Cluster amplitudes in the high momentum limit, and show that they obey universal equations independent of the number of nucleons and their state. Furthermore, we find that these Coupled-Cluster amplitudes coincide with the zero-energy Bloch-Horowitz operator. These results illuminate the relations between the nuclear many-body theory and the generalized contact formalism, introduced to describe the nuclear 2-body short range correlations, and it might also be helpful for general Coupled-Cluster computations as the asymptotic part of the amplitudes is given and shown to be universal.
Subjects:
Nuclear Theory (nucl-th); Nuclear Experiment (nucl-ex)
arXiv:
2212.13412 [pdf]
PRC(2023)·5 citations
05
[Submitted on 28 Dec 2022]
Forbidden beta decay properties of $^{135, 137}$ Te using shell-model
Shweta Sharma · Praveen C. Srivastava · Anil Kumar
In this work, the large-scale shell-model calculations for $β$ -decay properties have been done. The $β$ -delayed $γ$ -ray spectroscopy has been performed recently at ILL, Grenoble [M. Si \textit{et al.}, Phys. Rev. C {\bf 106}, 014302 (2022)] to study $β$ -decay properties corresponding to $^{137}$ Te (( $7/ 2^{-}))$ $\to$ $^{137}$ I ( $J_{f}$ ) transitions. We have done a systematic shell-model study for nuclear structure properties and compared the obtained results with the experimental data. Finally, the $β$ -decay properties such as the $lo g f t$ values and average shape factors have been reported. This is the first theoretical calculation for the $lo g f t$ values corresponding to these new experimental data. In addition, we have also reported calculated $lo g f t$ results for $^{135}$ Te (( $7/ 2^{-}))$ $\to$ $^{135}$ I ( $J_{f}$ ) transitions.
Comments:
16 pages, 1 figure, 4 tables, Accepted in Nuclear Physics A (2023)
Subjects:
Nuclear Theory (nucl-th); Nuclear Experiment (nucl-ex)
arXiv:
2212.13870 [pdf]
NPA(2023)·6 citations
06
[Submitted on 27 Dec 2022] (cross-list from hep-ph)
Neutrino oscillations in Quantum Field Theory
Sergey Kovalenko🇨🇱 · Fedor Simkovic🇸🇰
We propose a Quantum Field Theory (QFT) approach to neutrino oscillations in vacuum. The neutrino emission and detection are identified with the charged-current vertices of a single second-order Feynman diagram for the underlying process, enclosing neutrino propagation between these two points. The key point of our approach is the definition of the space-time setup typical for neutrino oscillation experiments, implying macroscopically large but finite volumes of the source and detector separated by a sufficiently large distance $L$ . We derive an $L$ -dependent master formula for the charged lepton production rate, which provides the QFT basis for the analysis of neutrino oscillations. Our formula depends on the underlying process and is not reducible to the conventional approach resorting to the concept of neutrino oscillation probability, which originates from non-relativistic quantum mechanics (QM). We demonstrate that for some particular choice of the underlying process our QFT formula approximately coincides with the conventional one under some assumptions.
Comments:
6 pages, 1 figure
Subjects:
High Energy Physics — Phenomenology (hep-ph); High Energy Physics — Experiment (hep-ex); High Energy Physics — Theory (hep-th); Nuclear Theory (nucl-th)
arXiv:
2212.13635 [pdf]
6 citations
07
[Submitted on 28 Dec 2022] (cross-list from nucl-ex)
Testing the $ϕ$ -nuclear potential in pion-induced $ϕ$ meson production on nuclei near threshold
E. Ya. Paryev🇷🇺
The near-threshold pion-induced $ϕ$ production off nuclei has been studied in the kinematical conditions of the HADES experiment using a collision model based on the nuclear spectral function. Starting from the elementary reaction $π^{-} p \to ϕ n$ , absolute differential and integral cross sections for the production of $ϕ$ mesons off a light carbon and a heavy tungsten target have been calculated and compared to the recently reported experimental cross sections. The absolute cross section values are shown to be sensitive to the effective nuclear scalar $ϕ$ and neutron potentials while the transparency ratio is governed by the $ϕ N$ absorption cross section. The experimental data are found to be consistent with an attractive $ϕ$ -nucleus potential of $\approx$ -(50--100) MeV at normal nuclear matter density $ρ_{0}$ and an effective $ϕ N$ absorption cross section of $\approx$ 12--25 mb. The extracted $ϕ$ -nucleus potential is deeper than previous theoretical and experimental findings as well as those obtained in the present work within the ( $t ρ$ ) approximation with accounting for Pauli correlations from the spin-averaged $ϕ$ - $p$ scattering length reported in a recent ALICE experiment.
Comments:
19 pages, 6 figures, references and some additional comments are added
Subjects:
Nuclear Experiment (nucl-ex); High Energy Physics — Experiment (hep-ex); Nuclear Theory (nucl-th)
arXiv:
2212.13778 [pdf]
NPA(2023)·9 citations
08
[Submitted on 28 Dec 2022] (cross-list from physics.atom-ph)
Comprehensive theory of the Lamb shift in light muonic atoms
K. Pachucki🇵🇱 · V. Lensky🇩🇪 · F. Hagelstein🇩🇪 · S. S. Li Muli🇩🇪 · S. Bacca🇩🇪 · R. Pohl🇩🇪
A comprehensive theory of the Lamb shift in light muonic atoms such as $μ$ H, $μ$ D, $μ^{3}$ He $^{+}$ , and $μ^{4}$ He $^{+}$ is presented, with all quantum electrodynamic corrections included at the precision level constrained by the uncertainty of nuclear structure effects. This analysis can be used in the global adjustment of fundamental constants and in the determination of nuclear charge radii. Further improvements in the understanding of electromagnetic interactions of light nuclei will allow for a promising test of fundamental interactions by comparison with ``normal" atomic spectroscopy, in particular, with H-D and $^{3}$ He- $^{4}$ He isotope shifts.
Comments:
21 pages, 4 figures, matched the published version
Subjects:
Atomic Physics (physics.atom-ph); Nuclear Experiment (nucl-ex); Nuclear Theory (nucl-th)
arXiv:
2212.13782 [pdf]
RMP(2024)·57 citations
09
[Submitted on 28 Dec 2022] (cross-list from hep-ph)
Neutral pion mass in warm magnetized medium within Linear Sigma Model coupled to Quarks $(LSM_{q})$ framework
Aritra Das🇮🇳 · Najmul Haque🇮🇳
We study the neutral pion mass in the presence of an external arbitrary magnetic field in the framework of the linear sigma model coupled to quark (LSMq) at finite temperature. In doing so, we have calculated the pion self-energy, constructed the dispersion equation via re-summation, and solved the dispersion relation at zero three momentum limit. In calculating the pion mass, we have included meson self-coupling's thermal and magnetic contribution and approximate chiral order parameter $v_{0}$ . We report that the $π^{0}$ mass decreases with the magnetic field and increases with temperature.
Comments:
26 pages, 7 captioned figures
Subjects:
High Energy Physics — Phenomenology (hep-ph); High Energy Physics — Lattice (hep-lat); Nuclear Theory (nucl-th)
arXiv:
2212.13814 [pdf]
PRD(2023)·6 citations
10
[Submitted on 28 Dec 2022] (cross-list from hep-lat)
Equation of state and speed of sound of isospin-asymmetric QCD on the lattice
Bastian B. Brandt🇩🇪 · Francesca Cuteri🇩🇪 · Gergely Endrodi🇩🇪
We determine the QCD equation of state at nonzero temperature in the presence of an isospin asymmetry between the light quark chemical potentials on the lattice. Our simulations employ $N_{f} = 2 + 1$ flavors of dynamical staggered quarks at physical masses, using three different lattice spacings. The main results are based on a two-dimensional spline interpolation of the isospin density, from which all relevant quantities can be obtained analytically. In particular, we present results for the pressure, the interaction measure, the energy and entropy densities, as well as the speed of sound. Remarkably, the latter is found to exceed its ideal gas limit deep in the pion condensed phase, the first account of the violation of this limit in first principles QCD. Finally, we also compute the phase diagram in the temperature -- isospin density plane for the first time. The data for all observables will be useful for the benchmarking of effective theories and low-energy models of QCD and are provided in ancillary files for simple reuse.
Comments:
30 pages, 46 figures; v2: extended discussion of splines and data, conclusions unchanged, matches published version
Subjects:
High Energy Physics — Lattice (hep-lat); High Energy Astrophysical Phenomena (astro-ph.HE); High Energy Physics — Phenomenology (hep-ph); Nuclear Theory (nucl-th)
arXiv:
2212.14016 [pdf]
JHEP(2023)·101 citations
11
[Submitted on 28 Dec 2022] (cross-list from hep-th)
Non-Gaussian fluctuation dynamics in relativistic fluids
Xin An🇫🇮 · Gokce Basar🇺🇸 · Mikhail Stephanov🇺🇸 · Ho-Ung Yee🇺🇸
We consider non-equilibrium evolution of non-Gaussian fluctuations within relativistic hydrodynamics relevant for the QCD critical point search in heavy-ion collision experiments. We rely on the hierarchy of relaxation time scales, which emerges in the hydrodynamic regime near the critical point, to focus on the slowest mode such as the fluctuations of specific entropy, whose equilibrium magnitude, non-Gaussianity and typical relaxation time are increasing as the critical point is approached. We derive evolution equations for the non-Gaussian correlators of this diffusive mode in an arbitrary relativistic hydrodynamic flow. We compare with the simpler case of the stochastic diffusion on a static homogeneous background and identify terms which are specific to the case of the full hydrodynamics with pressure fluctuations and flow.
Comments:
29 pages, 8 figures. Version accepted by PRC
Subjects:
High Energy Physics — Theory (hep-th); Statistical Mechanics (cond-mat.stat-mech); High Energy Physics — Phenomenology (hep-ph); Nuclear Theory (nucl-th)
arXiv:
2212.14029 [pdf]
PRC(2023)·29 citations
12
[Submitted on 28 Dec 2022] (cross-list from hep-lat)
General quantum algorithms for Hamiltonian simulation with applications to a non-Abelian lattice gauge theory
Zohreh Davoudi🇺🇸 · Alexander F. Shaw🇺🇸 · Jesse R. Stryker🇺🇸
With a focus on universal quantum computing for quantum simulation, and through the example of lattice gauge theories, we introduce rather general quantum algorithms that can efficiently simulate certain classes of interactions consisting of correlated changes in multiple (bosonic and fermionic) quantum numbers with non-trivial functional coefficients. In particular, we analyze diagonalization of Hamiltonian terms using a singular-value decomposition technique, and discuss how the achieved diagonal unitaries in the digitized time-evolution operator can be implemented. The lattice gauge theory studied is the SU(2) gauge theory in 1+1 dimensions coupled to one flavor of staggered fermions, for which a complete quantum-resource analysis within different computational models is presented. The algorithms are shown to be applicable to higher-dimensional theories as well as to other Abelian and non-Abelian gauge theories. The example chosen further demonstrates the importance of adopting efficient theoretical formulations: it is shown that an explicitly gauge-invariant formulation using loop, string, and hadron degrees of freedom simplifies the algorithms and lowers the cost compared with the standard formulations based on angular-momentum as well as the Schwinger-boson degrees of freedom. The loop-string-hadron formulation further retains the non-Abelian gauge symmetry despite the inexactness of the digitized simulation, without the need for costly controlled operations. Such theoretical and algorithmic considerations are likely to be essential in quantumly simulating other complex theories of relevance to nature.
Comments:
49+16+8 pages, 16 figures. v3: includes minor scattered revisions to improve readability and correct a few typos. Version accepted to Quantum
Subjects:
High Energy Physics — Lattice (hep-lat); High Energy Physics — Phenomenology (hep-ph); Nuclear Theory (nucl-th); Quantum Physics (quant-ph)
arXiv:
2212.14030 [pdf]
Quantum(2023)·89 citations

Affiliations

first authorsco-authorsvia INSPIRE