Nuclear Theory·nucl-th

Friday·August 25, 2023

5 papers—2 primary·3 cross-listed

01
[Submitted on 23 Aug 2023]
Toward experimental determination of spin entanglement of nucleon pairs
Dong Bai
Nuclear entanglement is a flagship in the interdisciplinary direction of nuclear physics and quantum information science. Spin entanglement, a special kind of nuclear entanglement, is ubiquitous in nuclear structures and dynamics. Based on the idea of quantum state tomography, the problem of experimental determination of spin entanglement of two-nucleon pure states is studied directly within the scope of nuclear physics. It is shown that the amount of spin entanglement can be obtained by measuring three spin polarizations of one nucleon in polarization experiments. The errors from imperfect preparation of nucleon pairs are also analyzed. This work not only complements the existing literature of nuclear entanglement but also provides new opportunities for nuclear physics with polarized particles.
Comments:
7 pages, 3 figures, published version
Subjects:
Nuclear Theory (nucl-th); Nuclear Experiment (nucl-ex)
arXiv:
2308.12327 [pdf]
PRC(2024)·27 citations
02
[Submitted on 24 Aug 2023]
Neutron Scattering off One-Neutron Halo Nuclei in Halo Effective Field Theory
Xu Zhang🇨🇳 · Hai-Long Fu🇨🇳 · Feng-Kun Guo🇨🇳 · Hans-Werner Hammer🇩🇪
Neutron scattering off neutron halos can provide important information about the internal structure of nuclei close to the neutron drip line. In this work, we use halo effective field theory to study the $s$ -wave scattering of a neutron and the spin-parity $J^{P} = \frac{1}{2}^{+}$ one-neutron halo nuclei $^{11} Be$ , $^{15} C$ , and $^{19} C$ at leading order. In the $J = 1$ channel, the only inputs to the Faddeev equations are their one-neutron separation energies. In the $J = 0$ channel, the neutron-neutron scattering length and the two-neutron separation energies of $^{12} Be$ , $^{16} C$ and $^{20} C$ enter as well. The numerical results show that the total $s$ -wave cross sections in the $J = 1$ channel at threshold are of the order of a few barns. In the $J = 0$ channel, these cross sections are of the order of a few barns for $n$ - $^{11} Be$ and $n$ - $^{19} C$ scattering, and about 60 $mb$ for the $n$ - $^{15} C$ scattering. The appearance of a pole in $p cot δ$ close to zero in all three cases indicates the existence of a virtual Efimov state close to threshold in each of the $^{12} Be$ , $^{16} C$ , and $^{20} C$ systems. Observation of this pole would confirm the presence of Efimov physics in halo nuclei. The dependence of the results on the neutron-core scattering length is also studied.
Subjects:
Nuclear Theory (nucl-th); High Energy Physics — Phenomenology (hep-ph); Nuclear Experiment (nucl-ex)
arXiv:
2308.12815 [pdf]
PRC(2023)·8 citations
03
[Submitted on 22 Aug 2023] (cross-list from gr-qc)
Nuclear physics constraints from binary neutron star mergers in the Einstein Telescope era
Francesco Iacovelli🇨🇭 · Michele Mancarella🇮🇹 · Chiranjib Mondal🇫🇷 · Anna Puecher🇳🇱 · Tim Dietrich🇩🇪 · Francesca Gulminelli🇫🇷 · Michele Maggiore🇨🇭 · Micaela Oertel🇫🇷
The next generation of ground-based gravitational-wave detectors, Einstein Telescope (ET) and Cosmic Explorer (CE), present a unique opportunity to put constraints on dense matter, among many other groundbreaking scientific goals. In a recent study the science case of ET was further strengthened, studying in particular the performances of different detector designs. In this paper we present a more detailed study of the nuclear physics section of that work. In particular, focusing on two different detector configurations (the single-site triangular-shaped design and a design consisting of two widely separated "L-shaped" interferometers), we study the detection prospects of binary neutron star (BNS) mergers, and how they can reshape our understanding of the underlying equation of state (EoS) of dense matter. We employ several state-of-the-art EoS models and state-of-the-art synthetic BNS merger catalogs, and we make use of the Fisher information formalism (FIM) to quantify statistical errors on the astrophysical parameters describing individual BNS events. To check the reliability of the FIM method, we further perform a full parameter estimation for a few simulated events. Based on the uncertainties on the tidal deformabilities associated to these events, we outline a mechanism to extract the underlying injected EoS using a recently developed meta-modelling approach within a Bayesian framework. Our results suggest that with $≳ 500$ events with signal-to-noise ratio greater than $12$ , we will be able to pin down very precisely the underlying EoS governing the neutron star matter.
Comments:
18 pages, 10 figures. v2 matches the version accepted for publication in PRD
Subjects:
General Relativity and Quantum Cosmology (gr-qc); High Energy Astrophysical Phenomena (astro-ph.HE); Nuclear Theory (nucl-th)
arXiv:
2308.12378 [pdf]
PRD(2023)·61 citations
04
[Submitted on 23 Aug 2023] (cross-list from hep-ph)
Virtual states in the coupled-channel problems with an improved complex scaling method
Yan-Ke Chen🇨🇳 · Lu Meng🇩🇪 · Zi-Yang Lin🇨🇳 · Shi-Lin Zhu🇨🇳
We improve the complex scaling method (CSM) to obtain virtual states, which were previously challenging in the conventional CSM. Our approach solves the Schrödinger equation in the momentum space as an eigenvalue problem by choosing the flexible contours. It proves to be highly effective in identifying the poles across the different Riemann sheets in the multichannel scatterings. It is more straightforward and efficient than searching for the zeros of the Fredholm determinant of the Lippmann-Schwinger equation using the root-finding algorithms. This advancement significantly extends the capabilities of the CSM in accurately characterizing the resonances and virtual states in quantum systems.
Comments:
12 pages, 14 figures, 2 tables. Version accepted by PRD
Subjects:
High Energy Physics — Phenomenology (hep-ph); High Energy Physics — Lattice (hep-lat); Nuclear Theory (nucl-th); Atomic Physics (physics.atom-ph); Quantum Physics (quant-ph)
arXiv:
2308.12424 [pdf]
PRD(2024)·21 citations
05
[Submitted on 24 Aug 2023] (cross-list from hep-ph)
Inverse magnetic catalysis effect and current quark mass effect on mass spectra and Mott transitions of pions under external magnetic field
Luyang Li🇨🇳 · Shijun Mao🇨🇳
Mass spectra and Mott transition of pions $(π^{0}, π^{\pm})$ at finite temperature and magnetic field are investigated in a two-flavor NJL model, and we focus on the inverse magnetic catalysis (IMC) effect and current quark mass (CQM) effect. Due to the dimension reduction of the constituent quarks, the pion masses jump at their Mott transitions, which is independent of the IMC effect and CQM effect. We consider the IMC effect by using a magnetic dependent coupling constant, which is a monotonic decreasing function of magnetic field. With IMC effect, the Mott transition temperature of $π^{0}$ meson $T_{m}^{0}$ is a monotonic decreasing function of magnetic field. For charged pions $π^{\pm}$ , the Mott transition temperature $T_{m}^{+}$ fast increases in weak magnetic field region and then decreases with magnetic field, which are accompanied with some oscillations. Comparing with the case without IMC effect, $T_{m}^{0}$ and $T_{m}^{+}$ are lower when including IMC effect. CQM effect are considered by varying parameter $m_{0}$ in non-chiral limit. For $π^{0}$ meson, $T_{m}^{0}$ is not a monotonic function of magnetic field with low $m_{0}$ , but it is a monotonic decreasing function with larger $m_{0}$ . In the weak magnetic field region, $T_{m}^{0}$ is higher for larger $m_{0}$ , but in the strong magnetic field region, it is lower for larger $m_{0}$ . For $π^{+}$ meson, $T_{m}^{+}$ is only quantitatively modifies by current quark mass effect, and it becomes higher with larger $m_{0}$ .
Comments:
10 pages, 13 figures
Subjects:
High Energy Physics — Phenomenology (hep-ph); Nuclear Theory (nucl-th)
arXiv:
2308.12491 [pdf]
PRD(2023)·10 citations

Affiliations

first authorsco-authorsvia INSPIRE

Toward experimental determination of spin entanglement of nucleon pairs

Neutron Scattering off One-Neutron Halo Nuclei in Halo Effective Field Theory

Nuclear physics constraints from binary neutron star mergers in the Einstein Telescope era

Virtual states in the coupled-channel problems with an improved complex scaling method

Inverse magnetic catalysis effect and current quark mass effect on mass spectra and Mott transitions of pions under external magnetic field

Affiliations