Nuclear Theory·nucl-th

Wednesday·June 28, 2023

6 papers—1 primary·5 cross-listed

01
[Submitted on 27 Jun 2023]
Fixed point behavior mapping of cumulants between the three-dimensional Ising model and QCD
Xue Pan🇨🇳
Fixed point behavior was found in the temperature dependence of normalized cumulants of order parameter at different external magnetic fields in the three-dimensional Ising model in my last work. In this paper, considering possible existing QCD critical point belonging to the three-dimensional Ising universality class and the non-universal mapping parameters between the Ising model and QCD, effects of the mapping parameters on the fixed point behavior in the net-baryon chemical potential dependence of normalized cumulants along different experimental freeze-out curves is studied in this paper. We found that when the directions of Ising variables, the reduced temperature and external magnetic field, are orthogonal or not far from orthogonal after mapping to the QCD temperature and net-baryon chemical potential plane, the fixed point behavior exists in the net-baryon chemical potential dependence of the normalized cumulants and is closer to the QCD critical point than the peak in the cumulants.
Comments:
7 pages, 4 figures
Subjects:
Nuclear Theory (nucl-th); High Energy Physics — Experiment (hep-ex); High Energy Physics — Phenomenology (hep-ph)
arXiv:
2306.15187 [pdf]
0 citations
02
[Submitted on 26 Jun 2023] (cross-list from hep-ph)
Parton Distributions from Boosted Fields in the Coulomb Gauge
Xiang Gao🇺🇸 · Wei-Yang Liu🇺🇸 · Yong Zhao🇺🇸
We propose a new method to calculate parton distribution functions (PDFs) from lattice correlations of boosted quarks and gluons in the Coulomb gauge. Compared to the widely used gauge-invariant Wilson-line operators, these correlations greatly simplify the renormalization thanks to the absence of linear power divergence. Besides, they enable access to larger off-axis momenta under preserved 3D rotational symmetry, as well as enhanced long-range precision that facilitates the Fourier transform. We verify the factorization formula that relates this new observable to the quark PDF at one-loop order in perturbation theory. Moreover, through a lattice calculation of the pion valence quark PDF, we demonstrate the aforementioned advantage and features of the Coulomb gauge correlation and show that it yields consistent result with the gauge-invariant method. This opens the door to a more efficient way to calculate parton physics on the lattice.
Comments:
5 pages, 4 figures, and the appendix
Subjects:
High Energy Physics — Phenomenology (hep-ph); High Energy Physics — Experiment (hep-ex); High Energy Physics — Lattice (hep-lat); Nuclear Theory (nucl-th)
arXiv:
2306.14960 [pdf]
PRD(2024)·46 citations
03
[Submitted on 27 Jun 2023] (cross-list from hep-ph)
Study of Baryon Number Transport Dynamics and Strangeness Conservation Effects Using $Ω$ -hadron Correlations
Weijie Dong🇨🇳 · Xiaozhou Yu🇨🇳 · Siyuan Ping🇨🇳 · Xiatong Wu🇺🇸 · Gang Wang🇺🇸 · Huan Zhong Huang🇨🇳 · Zi-Wei Lin🇺🇸
In nuclear collisions at RHIC energies, an excess of $Ω$ hyperons over $Ω ˉ$ is observed, indicating that $Ω$ carries a net baryon number despite $s$ and $s ˉ$ quarks being produced in pairs. The baryon number in $Ω$ could have been transported from the incident nuclei and/or produced in baryon-pair production of $Ω$ with other types of anti-hyperons, such as $Ξ ˉ$ . To investigate these two scenarios, we propose to measure correlations between $Ω$ and $K$ , as well as between $Ω$ and anti-hyperons. We will use two versions, the default and string-melting, of a multiphase transport (AMPT) model to illustrate the method to measure the correlation and to demonstrate the general shape of the correlation. We will present the $Ω$ -hadron correlations from simulated $Au$ + $Au$ collisions at $s_{N N} = 7.7$ and $14.6 GeV$ , and discuss the dependence on collision energy and on the hadronization scheme in these two AMPT versions. These correlations can be used to explore the mechanism of baryon number transport and the effects of baryon number and strangeness conservation in nuclear collisions.
Subjects:
High Energy Physics — Phenomenology (hep-ph); Nuclear Theory (nucl-th)
arXiv:
2306.15160 [pdf]
Nucl.Sci.Tech.(2024)·8 citations
04
[Submitted on 27 Jun 2023] (cross-list from nucl-ex)
$^{12}$ C+ $^{12}$ C scattering as the reference system for reaction cross section
Shingo Tagami · Tomotsugu Wakasa · Masanobu Yahiro
In our previous paper, we tested the chiral (Kyushu) folding model for $^{12}$ C+ $^{12}$ C scattering, since the profile function in the Glauber mode is constructed for the system. We found that the folding model is reliable for reaction cross sections $σ_{R}$ in $30 \lsim E_{lab} \lsim 100$ ~MeV and $250 \lsim E_{lab} \lsim 400$ ~MeV. Accurate data are available for $^{12}$ C scattering on $^{9}$ Be, $^{12}$ C, $^{27}$ Al targets in $30 \lsim E_{lab} \lsim 400$ ~MeV. We determine matter radius $r_{m} (exp)$ of $^{12}$ C from the accurate $σ_{R} (exp)$ , using the Kyushu $g$ -matrix folding model. Our result is $r_{m}^{12} (exp) = 2.352 \pm 0.013$ ~fm for $^{12}$ C. The model is applied for the accurate data on $^{12}$ C+ $^{27}$ Al scattering, and yields $r_{m} (exp) = 2.936 \pm 0.012$ ~fm for $^{27}$ Al. Our conclusion is that $r_{m} (exp) = 2.352 \pm 0.013$ ~fm agrees with $r_{m} (exp) = 2.35 \pm 0.02$ ~fm determined from interaction cross sections by Tanihata {\it et. al.}.
Comments:
arXiv admin note: text overlap with arXiv:2306.09609
Subjects:
Nuclear Experiment (nucl-ex); Nuclear Theory (nucl-th)
arXiv:
2306.15178 [pdf]
2 citations
05
[Submitted on 27 Jun 2023] (cross-list from hep-ph)
Mission Target: Tetraquark Mesons of Flavour-Cryptoexotic Type
Wolfgang Lucha🇦🇹
Currently, flavour-cryptoexotic tetraquarks form the most common sort of all experimentally established exotic multiquark hadrons. This note points out a few promising concepts that should help improve theoretical (but, for several reasons, not quite straightforward) analyses of such kind of states: among others, their scope of application encompasses the strong interactions in the limit of (arbitrarily) large numbers of colours, and equally analytical and nonperturbative approaches to multiquark states.
Comments:
12 pages, 2 figures
Subjects:
High Energy Physics — Phenomenology (hep-ph); High Energy Physics — Theory (hep-th); Nuclear Theory (nucl-th)
arXiv:
2306.15474 [pdf]
Universe(2023)·2 citations
06
[Submitted on 27 Jun 2023] (cross-list from physics.atom-ph)
Accurate determination of $^{6, 7}$ Li nuclear magnetic moments
Krzysztof Pachucki · Vojtěch Patkóš · Vladimir A. Yerokhin
We report an accurate determination of the nuclear magnetic dipole moments of $^{6, 7}$ Li from the measured ratio of the nuclear and the electron $g$ -factors in atomic Li. The obtained results significantly improve upon the literature values and stress the importance of reliable theoretical calculations of the nuclear shielding corrections.
Subjects:
Atomic Physics (physics.atom-ph); High Energy Physics — Phenomenology (hep-ph); Nuclear Theory (nucl-th)
arXiv:
2306.15514 [pdf]
PLB(2023)·4 citations

Affiliations

first authorsco-authorsvia INSPIRE

Fixed point behavior mapping of cumulants between the three-dimensional Ising model and QCD

Parton Distributions from Boosted Fields in the Coulomb Gauge

Study of Baryon Number Transport Dynamics and Strangeness Conservation Effects Using Ω-hadron Correlations

12C+12C scattering as the reference system for reaction cross section

Mission Target: Tetraquark Mesons of Flavour-Cryptoexotic Type

Accurate determination of 6,7Li nuclear magnetic moments

Affiliations

Study of Baryon Number Transport Dynamics and Strangeness Conservation Effects Using $Ω$ -hadron Correlations

$^{12}$ C+ $^{12}$ C scattering as the reference system for reaction cross section

Accurate determination of $^{6, 7}$ Li nuclear magnetic moments