Nuclear Theory·nucl-th

Wednesday·October 12, 2022

7 papers—2 primary·5 cross-listed

01
[Submitted on 11 Oct 2022]
Is Relativistic Hydrodynamics always Symmetric-Hyperbolic in the Linear Regime?
Lorenzo Gavassino
Close to equilibrium, the kinetic coefficients of a thermodynamic system must satisfy a set of symmetry conditions, which follow from the Onsager-Casimir principle. Here, we show that, if a system of hydrodynamic equations is analysed from the perspective of the Onsager-Casimir principle, then it is possible to impose very strong symmetry conditions also on the principal part of such equations (the part with highest derivatives). In particular, we find that, in the absence of macroscopic magnetic fields and spins, relativistic hydrodynamics should always be symmetric-hyperbolic, when linearised about equilibrium. We use these results to prove that Carter's multifluid theory and the Israel-Stewart theory in the pressure frame are both symmetric-hyperbolic in the linear regime. Connections with the GENERIC formalism are also explored.
Comments:
17 pages; No figures; Published on PRD, see https://journals.aps.org/prd/abstract/10.1103/PhysRevD.107.065013
Subjects:
Nuclear Theory (nucl-th); General Relativity and Quantum Cosmology (gr-qc)
arXiv:
2210.05067 [pdf]
PRD(2023)·23 citations
02
[Submitted on 11 Oct 2022]
Density profiles near nuclear surface of $^{44, 52}$ Ti: An indication of $α$ clustering
W. Horiuchi🇯🇵 · N. Itagaki🇯🇵
We investigate the degree of $α$ ( $^{4}$ He nucleus) clustering in the ground-state density profiles of $^{44}$ Ti and $^{52}$ Ti. Two types of density distributions, shell- and cluster-model configurations, are generated fully microscopically with the antisymmetrized quasi-cluster model, which can describe both the j-j coupling shell and $α$ -cluster configurations in a single scheme. Despite both the models reproducing measured charge radius data, we found that the $α$ clustering significantly diffuses the density profiles near the nuclear surface compared to the ideal j-j coupling shell model configuration. The effect is most significant for $^{44}$ Ti, while it is less for $^{52}$ Ti due to the occupation of the $0 f_{7/2}$ orbits in the $^{48}$ Ca core. This difference can be detected by measuring proton-nucleus elastic scattering or the total reaction cross section on a carbon target at intermediate energies.
Comments:
9 pages, 7 figures
Subjects:
Nuclear Theory (nucl-th)
arXiv:
2210.05172 [pdf]
PRC(2022)·12 citations
03
[Submitted on 10 Oct 2022] (cross-list from quant-ph)
State Preparation in the Heisenberg Model through Adiabatic Spiraling
Anthony N. Ciavarella🇺🇸 · Stephan Caspar🇺🇸 · Marc Illa🇺🇸 · Martin J. Savage🇺🇸
An adiabatic state preparation technique, called the adiabatic spiral, is proposed for the Heisenberg model. This technique is suitable for implementation on a number of quantum simulation platforms such as Rydberg atoms, trapped ions, or superconducting qubits. Classical simulations of small systems suggest that it can be successfully implemented in the near future. A comparison to Trotterized time evolution is performed and it is shown that the adiabatic spiral is able to outperform Trotterized adiabatics.
Comments:
22 pages, 8 figures, published version, fixed missing acknowledgment
Subjects:
Quantum Physics (quant-ph); Quantum Gases (cond-mat.quant-gas); High Energy Physics — Lattice (hep-lat); Nuclear Theory (nucl-th)
arXiv:
2210.04965 [pdf]
Quantum(2023)·17 citations
04
[Submitted on 11 Oct 2022] (cross-list from hep-ph)
Photoproduction of $e^{+} e^{-}$ in peripheral isobar collisions
Shuo Lin🇨🇳 · Ren-Jie Wang🇨🇳 · JIan-Fei Wang🇨🇳 · Hao-Jie Xu🇨🇳 · Shi Pu🇨🇳 · Qun Wang🇨🇳
We investigate the photoproduction of di-electrons in peripheral collisions of $_{44}^{96} Ru +_{44}^{96} Ru$ and $_{40}^{96} Zr +_{40}^{96} Zr$ at 200 GeV. With the charge and mass density distributions given by the calculation of the density functional theory, we calculate the spectra of transverse momentum, invariant mass and azimuthal angle for di-electrons at 40-80\% centrality. The ratios of these spectra in Ru+Ru collisions over to Zr+Zr collisions are shown to be smaller than $(44/40)^{4}$ (the ratio of $Z^{4}$ for Ru and Zr) at low transverse momentum. The deviation arises from the different mass and charge density distributions in Ru and Zr. So the photoproduction of di-leptons in isobar collisions may provide a new way to probe the nuclear structure.
Comments:
17 pages, 6 figures
Subjects:
High Energy Physics — Phenomenology (hep-ph); Nuclear Theory (nucl-th)
arXiv:
2210.05106 [pdf]
PRD(2023)·18 citations
05
[Submitted on 11 Oct 2022] (cross-list from hep-ph)
Stronger $C$ -odd color charge correlations in the proton at higher energy
Adrian Dumitru🇺🇸 · Heikki Mäntysaari🇫🇮 · Risto Paatelainen🇫🇮
The non-forward eikonal scattering matrix for dipole-proton scattering at high energy obtains an imaginary part due to a $C$ -odd three gluon exchange. We present numerical estimates for the perturbative Odderon amplitude as a function of dipole size, impact parameter, their relative azimuthal angle, and light-cone momentum cutoff $x$ . The proton is approximated as $ψ_{qqq} ∣ q q q ⟩ + ψ_{qqqg} ∣ q q q g ⟩$ , where $ψ_{qqq}$ is a non-perturbative three quark model wave function while the gluon emission is computed in light-cone perturbation theory. We find that the Odderon amplitude increases as $x$ decreases from 0.1 to 0.01. At yet lower $x$ , the reversal of this energy dependence would reflect the onset of universal small- $x$ renormalization group evolution.
Comments:
6 pages, 5 figures. Odderon amplitudes at different momentum fraction x included in the ancillary files. v2: results updated fixing symmetry factors as discussed in the erratum
Subjects:
High Energy Physics — Phenomenology (hep-ph); Nuclear Theory (nucl-th)
arXiv:
2210.05390 [pdf]
PRD(2023)·12 citations
06
[Submitted on 11 Oct 2022] (cross-list from hep-lat)
Lattice QCD studies on decuplet baryons as meson-baryon bound states in the HAL QCD method
Kotaro Murakami🇯🇵 · Yutaro Akahoshi🇯🇵 · Sinya Aoki🇯🇵 · Takumi Doi🇯🇵 · Kenji Sasaki🇯🇵
We study decuplet baryons from meson-baryon interactions in lattice QCD, in particular, $Δ$ and $Ω$ baryons from P-wave $I = 3/2$ $N π$ and $I = 0$ $Ξ K ˉ$ interactions, respectively. Interaction potentials are calculated in the HAL QCD method using 3-quark-type source operators at $m_{π} \approx 410 MeV$ and $m_{K} \approx 635 MeV$ , where $Δ$ as well as $Ω$ baryons are stable. We use the conventional stochastic estimate of all-to-all propagators combined with the all-mode averaging to reduce statistical fluctuations. We have found that the $Ξ K ˉ$ system has a weaker attraction than the $N π$ system while the binding energy from the threshold is larger for $Ω$ than $Δ$ . This suggests that an inequality $m_{N} + m_{π} - m_{Δ} < m_{Ξ} + m_{K ˉ} - m_{Ω}$ comes mainly from a smaller spatial size of a $Ξ K ˉ$ bound state due to a larger reduced mass, rather than its interaction. Root-mean-square distances of bound states in both systems are small, indicating that $Δ$ and $Ω$ are tightly bound states and thus can be regarded qualitatively as composite states of 3 quarks. Results of binding energies agree with those obtained from temporal 2-point functions within large systematic errors, which arise dominantly from the lattice artifact at short distances.
Comments:
28 pages, 14 figures, 4 tables
Subjects:
High Energy Physics — Lattice (hep-lat); High Energy Physics — Phenomenology (hep-ph); Nuclear Theory (nucl-th)
arXiv:
2210.05395 [pdf]
PTEP(2023)·7 citations
07
[Submitted on 11 Oct 2022] (cross-list from hep-lat)
The Sphaleron Rate from 4D Euclidean Lattices
Marc Barroso Mancha🇩🇪 · Guy D. Moore🇩🇪
We develop a new method to determine thermal activation rates, such as for bubble nucleation, topology change, \textsl{etc.}, using 4-dimensional Euclidean methods. This allows nonperturbative study on the lattice. We then investigate the strong sphaleron rate in pure-glue QCD at temperatures between 1.3 $\Tc$ and 1000 $T_{c}$ , making contact with previous results but extending them down close to the critical temperature. The extension to full QCD will be straightforward. Limitations of the proposal (the inability to compute a certain dynamical prefactor, puzzling large-volume behavior, and the inability to treat temperatures $T < 1.3 T_{c}$ ) are also discussed.
Comments:
32 pages, 14 figures, 2 tables. Updated to JHEP version
Subjects:
High Energy Physics — Lattice (hep-lat); High Energy Physics — Phenomenology (hep-ph); Nuclear Theory (nucl-th)
arXiv:
2210.05507 [pdf]
JHEP(2023)·29 citations

Affiliations

first authorsco-authorsvia INSPIRE

Is Relativistic Hydrodynamics always Symmetric-Hyperbolic in the Linear Regime?

Density profiles near nuclear surface of 44,52Ti: An indication of α clustering

State Preparation in the Heisenberg Model through Adiabatic Spiraling

Photoproduction of e+e− in peripheral isobar collisions

Stronger C-odd color charge correlations in the proton at higher energy

Lattice QCD studies on decuplet baryons as meson-baryon bound states in the HAL QCD method

The Sphaleron Rate from 4D Euclidean Lattices

Affiliations

Density profiles near nuclear surface of $^{44, 52}$ Ti: An indication of $α$ clustering

Photoproduction of $e^{+} e^{-}$ in peripheral isobar collisions

Stronger $C$ -odd color charge correlations in the proton at higher energy