Nuclear Theory·nucl-th

Thursday·July 27, 2017

8 papers—3 primary·5 cross-listed

04
Integrability and chemical potential in the (3+1)-dimensional Skyrme model
P. D. Alvarez🇨🇱 · F. Canfora🇨🇱 · N. Dimakis🇨🇱 · A. Paliathanasis🇨🇱
Using a remarkable mapping from the original (3+1)dimensional Skyrme model to the Sine-Gordon model, we construct the first analytic examples of Skyrmions as well as of Skyrmions--anti-Skyrmions bound states within a finite box in 3+1 dimensional flat space-time. An analytic upper bound on the number of these Skyrmions--anti-Skyrmions bound states is derived. We compute the critical isospin chemical potential beyond which these Skyrmions cease to exist. With these tools, we also construct topologically protected time-crystals: time-periodic configurations whose time-dependence is protected by their non-trivial winding number. These are striking realizations of the ideas of Shapere and Wilczek. The critical isospin chemical potential for these time-crystals is determined.
↳ hep-thcond-mat.othermath-phmath.MP+1PLB(2017)·53 citations
05
Muon capture reaction on $^{100} M o$ to study nuclear responses for double beta decays and astro-neutrinos
I.H. Hashim · H. Ejiri · T. Shima · A. Sato · Y. Kuno · N. Kawamura · S. Miyake · K. Ninomiya
The negative-muon capture reaction (MCR) on the enriched $^{100} M o$ isotope was studied for the first time to investigate neutrino nuclear response for neutrino-less double beta decays and supernova neutrino nuclear interactions. MCR on $^{100} M o$ proceeds mainly as $^{100} M o (m u, x n)^{100 - x} N b$ with $x$ being the number of neutrons emitted from MCR. The Nb isotope mass distribution was obtained by measuring delayed gamma-rays from radioactive $^{100 - x} N b$ . By using the neutron emission model after MCR, the neutrino response (the strength distribution) for MCR was derived. Giant resonance (GR)-like distribution at the peak energy around 11-14 MeV, suggests concentration of the MCR strength at the muon capture GR region.
↳ nucl-exnucl-thPRC(2018)·41 citations
06
Non-extensive Fokker-Planck transport coefficients of heavy quarks
Trambak Bhattacharyya🇿🇦 · Jean Cleymans🇿🇦
In presence of the non-ideal plasma effects, Heavy Quarks (HQs) carry out non linear random walk inside Quark-Gluon Plasma (QGP) and in the small momentum transfer limit, the evolution of the HQ distribution is dictated by the Non Linear Fokker-Planck Equation (NLFPE). Using the NLFPE, we calculate the transport coefficients (drag and diffusion) of heavy quarks travelling through QGP. We observe substantial modification in the momentum and temperature variation of the transport coefficients; and this will modify the physical picture we are having about the transport of heavy quarks inside QGP, and hence, about the characterisation of the plasma.
↳ hep-phnucl-th3 citations
07
Hydrodynamical corrections to electromagnetic emissivities in QCD
Yizhuang Liu🇺🇸 · Ismail Zahed🇺🇸
We provide a general framework for the derivation of the hydrodynamical corrections to the QCD electromagnetic emissivities in a viscous fluid. Assuming that the emission times are short in comparison to the fluid evolution time, we show that the leading corrections in the fluid gradients are controlled by the bulk and shear tensors times pertinent response functions involving the energy-momentum tensor. In a hadronic fluid phase, we explicit these contributions using spectral functions. Using the vector dominance approximation, we show that the bulk viscosity correction to the photon rate is sizable, while the shear viscosity is negligible for about all frequencies. In the partonic phase near the transition temperature we provide an assessment of the viscous corrections to the photon and dilepton emissions, using a non-perturbative quark-gluon plasma with soft thermal gluonic corrections in the form of operators of leading mass dimension. Again, the thermal bulk viscosity corrections are found to be larger than the thermal shear viscosity corrections at all energies for both the photon and dilepton in the partonic phase.
↳ hep-phhep-thnucl-thPRD(2017)·6 citations
08
Dynamic Universality Class of Model H with Frustrated Diffusion: $ϵ$ -Expansion
Ho-Ung Yee🇺🇸
We study a variation of the dynamic universality class of model H in a spatial dimension of $d = 4 - ϵ$ , by frustrating charge diffusion and momentum density fluctuations along $d_{T} = 1$ or $d_{T} = 2$ dimensions, while keeping the same dynamics of model H in the other $d_{L} = d - d_{T}$ dimensions. The case of $d_{T} = 2$ describes the QCD critical point in a background magnetic field. We find that these models belong to a different dynamical universality class due to extended conservation laws compared to the model H, although the static universality class remains the same as the 3-dimensional Ising model. We compute the dynamic critical exponents of these models in first order of $ϵ$ -expansion to find that $x_{λ} \approx 0.847 ϵ$ , $x_{η ˉ} \approx 0.153 ϵ$ , and $z = 4 - x_{λ} \approx 3.15$ when $ϵ = 1$ and $d_{T} = 2$ . For $d_{T} = 1$ the results are numerically similar to the model H values: $z \approx 3.08$ .
↳ hep-phhep-thnucl-thPRD(2018)·3 citations

Affiliations

first authorsco-authorsvia INSPIRE

Integrability and chemical potential in the (3+1)-dimensional Skyrme model

Muon capture reaction on 100Mo to study nuclear responses for double beta decays and astro-neutrinos

Non-extensive Fokker-Planck transport coefficients of heavy quarks

Hydrodynamical corrections to electromagnetic emissivities in QCD

Dynamic Universality Class of Model H with Frustrated Diffusion: ϵ-Expansion

Affiliations

Muon capture reaction on $^{100} M o$ to study nuclear responses for double beta decays and astro-neutrinos

Dynamic Universality Class of Model H with Frustrated Diffusion: $ϵ$ -Expansion