Nuclear Theory·nucl-th

Monday·July 10, 2023

5 papers—1 primary·4 cross-listed

02
Conformal duality of the nonlinear Schrödinger equation: Theory and applications to parameter estimation
David B. Reinhardt · Dean Lee · Wolfgang P. Schleich · Matthias Meister
The nonlinear Schrödinger equation (NLSE) is a rich and versatile model, which in one spatial dimension has stationary solutions similar to those of the linear Schrödinger equation as well as more exotic solutions such as solitary waves and quantum droplets. Here we present the unified theory of the NLSE, showing that all stationary solutions of the local one-dimensional cubic-quintic NLSE can be classified according to a single number called the cross-ratio. Any two solutions with the same cross-ratio can be converted into one another using a conformal transformation, and the same also holds true for traveling wave solutions. Further, we introduce an optimization afterburner that relies on this conformal symmetry to substantially improve NLSE parameter estimation from noisy empirical data. The new method therefore should have far reaching practical applications for nonlinear physical systems.
↳ cond-mat.quant-gasmath-phmath.MPnlin.SI+2PRResearch(2025)·0 citations
03
Estimates of absolute branching fractions for the $f_{0} (1710)$ decays and radiative transitions $ψ (2 S) \to γ f_{0} (1710)$ and $Υ (1 S) \to γ f_{0} (1710)$
N.N. Achasov🇷🇺 · G.N. Shestakov🇷🇺
Using the result of the VES Collaboration for $B r (J / ψ \to γ f_{0} (1710))$ , we estimate the absolute branching fractions for the $f_{0} (1710)$ decays into $π π$ , $K K ˉ$ , $η η$ , $ω ω$ , and $ω ϕ$ . In addition, we estimate $B r (ψ (2 S) \to γ f_{0} (1710)) \approx 3.5 \times 1 0^{- 5}$ and $B r (Υ (1 S) \to γ f_{0} (1710)) \approx 1 \times 1 0^{- 5}$ .
↳ hep-phhep-exnucl-exnucl-thJETP Lett.(2023)·1 citation
04
Recent progress on in-medium properties of heavy mesons from finite-temperature EFTs
Gloria Montana🇪🇸 · Angels Ramos🇪🇸 · Laura Tolos🇪🇸 · Juan M. Torres-Rincon🇪🇸
Mesons with heavy flavor content are an exceptional probe of the hot QCD medium produced in heavy-ion collisions. In the past few years, significant progress has been made toward describing the modification of the properties of heavy mesons in the hadronic phase at finite temperature. Ground-state and excited-state thermal spectral properties can be computed within a self-consistent many-body approach that employs appropriate hadron-hadron effective interactions, providing a unique opportunity to confront hadronic Effective Field Theory predictions with recent and forthcoming lattice QCD simulations and experimental data. In this article, we revisit the application of the imaginary-time formalism to extend the calculation of unitarized scattering amplitudes from the vacuum to finite temperature. These methods allow us to obtain the ground-state thermal spectral functions. The thermal properties of the excited states that are dynamically generated within the molecular picture are also directly accessible. We present here the results of this approach for the open-charm and open-bottom sectors. We also analyze how the heavy-flavor transport properties, which are strongly correlated to experimental observables in heavy-ion collisions, are modified in hot matter. In particular, transport coefficients can be computed using an off-shell kinetic theory that is fully consistent with the effective theory describing the scattering processes. The results of this procedure for both charm and bottom transport coefficients are briefly discussed.
↳ hep-phnucl-thFront.in Phys.(2023)·8 citations
05
Quark Models and Radial Oscillations: Decoding the HESS J1731-347 Compact Object's Equation of State
Ishfaq Ahmad Rather🇵🇹 · Grigoris Panotopoulos🇨🇱 · Ilídio Lopes🇵🇹
We investigate the peculiar nature of strange stars through an analysis of different quark models, i.e. vBag model and CFL model equation of states at different parameter sets, and focus on understanding the equation of state governing the intriguing central compact object (CCO) within the supernova remnant HESS J1731-347, with a mass and radius of $M = 0.7 7_{- 0.17}^{+ 0.20} M_{⊙}$ and $R = 10. 4_{- 0.78}^{+ 0.86}$ km, respectively. Additionally, we compare the radial oscillations of two models to determine the frequency of the HESS J1731-347 compact object at its maximum mass. The frequencies of radial oscillations are computed for each of the four EoSs considered. In total, the 10 lowest radial frequencies for each of those EoSs have been computed. By delving into these aspects, we aim at deepening our understanding of strange stars and their connection to the observed HESS J1731-347 mass-radius relationship.
↳ astro-ph.HEnucl-thEPJC(2023)·40 citations

Affiliations

first authorsco-authorsvia INSPIRE

Conformal duality of the nonlinear Schrödinger equation: Theory and applications to parameter estimation

Estimates of absolute branching fractions for the f0​(1710) decays and radiative transitions ψ(2S)→γf0​(1710) and Υ(1S)→γf0​(1710)

Recent progress on in-medium properties of heavy mesons from finite-temperature EFTs

Quark Models and Radial Oscillations: Decoding the HESS J1731-347 Compact Object's Equation of State

Affiliations

Estimates of absolute branching fractions for the $f_{0} (1710)$ decays and radiative transitions $ψ (2 S) \to γ f_{0} (1710)$ and $Υ (1 S) \to γ f_{0} (1710)$