Nuclear Theory·nucl-th

Monday·October 2, 2023

13 papers—7 primary·6 cross-listed

08
[Submitted on 28 Sept 2023] (cross-list from hep-ph)
Diquarks and $Λ^{0} / π^{+}$ , $Ξ^{-} / π^{+}$ ratios in the framework of the EPNJL model
A. V. Friesen🇷🇺 · Yu. L. Kalinovsky🇷🇺
The applicability of the effective models to the description of baryons and the behaviour of ratios of strange baryons to pions is discussed. In the framework of the EPNJL model, the Bethe - Salpeter equation is used to find masses of baryons, which are considered as diquark-quark state. Baryon melting is discussed at a finite chemical potential and a flavor dependence of the hadronic deconfinement temperature is pointed. It is shown that the description of the diquark-quark state at finite chemical potential is limited due to the occurrence of the Bose condensate. This effect is strongly manifested in the description of light diquarks and baryons. Both $Λ^{0} / π^{+}$ and $Ξ^{-} / π^{+}$ ratios show a sharp behaviour as functions of $T / μ_{B}$ variable, where T and $μ_{B}$ are calculated along the melting lines.
Comments:
9 pages, 7 pictures, 1 table
Subjects:
High Energy Physics — Phenomenology (hep-ph); Nuclear Theory (nucl-th)
arXiv:
2309.16815 [pdf]
Particles(2023)·1 citation
09
[Submitted on 28 Sept 2023] (cross-list from hep-ph)
Extraction of the neutron F2 structure function from inclusive proton and deuteron deep-inelastic scattering data
Shujie Li🇺🇸 · Alberto Accardi🇺🇸 · Matteo Cerutti🇺🇸 · Ishara. P. Fernando🇺🇸 · Cynthia E. Keppel🇺🇸 · Wally Melnitchouk🇺🇸 · Peter Monaghan🇺🇸 · Gabriel Niculescu🇺🇸 · Maria I. Niculescu🇺🇸 · Jeff. F. Owens🇺🇸
The available world deep-inelastic scattering data on proton and deuteron structure functions F2p, F2d, and their ratios, are leveraged to extract the free neutron F2n structure function, the F2n/F2p ratio, and associated uncertainties using the latest nuclear effect calculations in the deuteron. Special attention is devoted to the normalization of the proton and deuteron experimental datasets and to the treatment of correlated systematic errors, as well as the quantification of procedural and theoretical uncertainties. The extracted F2n dataset is utilized to evaluate the Q2 dependence of the Gottfried sum rule and the nonsinglet F2p - F2n moments. To facilitate replication of our study, as well as for general applications, a comprehensive DIS database including all recent JLab 6 GeV measurements, the extracted F2n, a modified CTEQ-JLab global PDF fit named CJ15nlo_mod, and grids with calculated proton, neutron and deuteron DIS structure functions at next-to-leading order, are discussed and made publicly available.
Comments:
55 pages. Database: https://www.jlab.org/theory/cj, https://github.com/JeffersonLab/CJ-database
Subjects:
High Energy Physics — Phenomenology (hep-ph); High Energy Physics — Experiment (hep-ex); Nuclear Experiment (nucl-ex); Nuclear Theory (nucl-th)
arXiv:
2309.16851 [pdf]
PRD(2024)·16 citations
10
[Submitted on 29 Sept 2023] (cross-list from cond-mat.str-el)
Energy minimization of paired composite fermion wave functions in the spherical geometry
Greg J. Henderson · Gunnar Möller · Steven H. Simon
We perform the energy minimization of the paired composite fermion (CF) wave functions, proposed by Möller and Simon (MS) [PRB 77, 075319 (2008)] and extended by Yutushui and Mross (YM) [PRB 102, 195153 (2020)], where the energy is minimized by varying the CF pairing function, in the case of an approximate model of the Coulomb interaction in the second Landau level for pairing channels $ℓ = - 1, 3, 1$ which are expected to be in the Pfaffian, anti-Pfaffian and particle-hole symmetric (PH) Pfaffian phases respectively. It is found that the energy of the $ℓ = - 1$ MS wave function can be reduced substantially below that of the Moore-Read wave function at small system sizes, however, in the $ℓ = 3$ case the energy cannot be reduced much below that of the YM trial wavefunction. Nonetheless, both our optimized and unoptimized wavefunctions with $ℓ = - 1, 3$ extrapolate to roughly the same energy per particle in the thermodynamic limit. For the $ℓ = 1$ case, the optimization makes no qualitative difference and these PH-Pfaffian wave functions are still energetically unfavourable. The effective CF pairing is analyzed in the resulting wave functions, where the effective pairing for the $ℓ = - 1, 3$ channels is found to be well approximated by a weak-pairing BCS ansatz and the $ℓ = 1$ wave functions show no sign of emergent CF pairing.
Comments:
14 pages, 4 figures, 7 tables
Subjects:
Strongly Correlated Electrons (cond-mat.str-el); Nuclear Theory (nucl-th)
arXiv:
2309.17003 [pdf]
PRB(2023)·3 citations
11
[Submitted on 29 Sept 2023] (cross-list from hep-ph)
Near-threshold resonance in $e^{+} e^{-} \to Λ_{c} Λ ˉ_{c}$ process
S.G. Salnikov🇷🇺 · A.I. Milstein🇷🇺
We discuss the influence of various contributions of the $Λ_{c} Λ ˉ_{c}$ potential on the energy dependence of the cross section $e^{+} e^{-} \to Λ_{c} Λ ˉ_{c}$ near the threshold. New BESIII experimental data on the cross section and electromagnetic form factors $G_{E}$ and $G_{M}$ are taken into account. Our predictions are in good agreement with experimental data. We predict a bound state of $Λ_{c} Λ ˉ_{c}$ at energy $\sim 38 MeV$ below the threshold that may manifest itself in anomalous behavior of light meson production cross sections in a given energy region.
Comments:
5 pages, 1 figure
Subjects:
High Energy Physics — Phenomenology (hep-ph); High Energy Physics — Experiment (hep-ex); Nuclear Theory (nucl-th)
arXiv:
2309.17018 [pdf]
PRD(2023)·13 citations
12
[Submitted on 29 Sept 2023] (cross-list from hep-ph)
Doubly heavy tetraquark states in the constituent quark model using diffusion Monte Carlo method
Yao Ma🇨🇳 · Lu Meng🇩🇪 · Yan-Ke Chen🇨🇳 · Shi-Lin Zhu🇨🇳
We use the diffusion Monte Carlo method to calculate the doubly heavy tetraquark $T_{cc}$ system in two kinds of constituent quark models, the pure constituent quark model AL1/AP1 and the chiral constituent quark model. When the discrete configurations are complete and no spatial clustering is preseted, the AL1/AP1 model gives an energy of $T_{cc}$ close to the $D D^{*}$ threshold, and the chiral constituent quark model yields a deeply bound state. We further calculate all doubly heavy tetraquark systems with $J^{P} = 0^{+}, 1^{+}, 2^{+}$ , and provide the binding energies of systems with bound states. The $I (J^{P}) = 0 (0^{+})$ $b c n ˉ n ˉ$ , $0 (1^{+})$ $bb n ˉ n ˉ$ , $0 (1^{+})$ $b c n ˉ n ˉ$ , $\frac{1}{2} (1^{+})$ $bb s ˉ n ˉ$ systems have bound states in all three models. Since the DMC method has almost no restriction on the spatial part, the resulting bound states have greater binding energies than those obtained in previous works.
Comments:
9 pages, 1 figure. Comments are welcomed
Subjects:
High Energy Physics — Phenomenology (hep-ph); High Energy Physics — Experiment (hep-ex); High Energy Physics — Lattice (hep-lat); Nuclear Theory (nucl-th)
arXiv:
2309.17068 [pdf]
PRD(2024)·30 citations
13
[Submitted on 29 Sept 2023] (cross-list from hep-ph)
An algebraic model to study the internal structure of pseudo-scalar mesons with heavy-light quark content
B. Almeida-Zamora🇲🇽 · J.J. Cobos-Martínez🇲🇽 · A. Bashir🇲🇽 · K. Raya🇪🇸 · J. Rodríguez-Quintero🇪🇸 · J. Segovia🇪🇸
The internal structure of all lowest-lying pseudo-scalar mesons with heavy-light quark content is studied in detail using an algebraic model that has been applied recently, and successfully, to the same physical observables of pseudo-scalar and vector mesons with hidden-flavor quark content, from light to heavy quark sectors. The algebraic model consists on constructing simple and evidence-based \emph{ansätze} of the meson's Bethe-Salpeter amplitude (BSA) and quark's propagator in such a way that the Bethe-Salpeter wave function (BSWF) can then be readily computed algebraically. Its subsequent projection onto the light front yields the light front wave function (LFWF) whose form allows us a simple access to the valence-quark Parton Distribution Amplitude (PDA) by integrating over the transverse momentum squared. We exploit our current knowledge of the PDAs of lowest-lying pseudo-scalar heavy-light mesons to compute their Generalized Parton Distributions (GPDs) through the overlap representation of LFWFs. From these three dimensional knowledge, different limits/projections lead us to deduce the related Parton Distribution functions (PDFs), Electromagnetic Form Factors (EFFs), and Impact parameter space GPDs (IPS-GPDs). When possible, we make explicit comparisons with available experimental results and earlier theoretical predictions.
Comments:
15 pages, 9 figures
Subjects:
High Energy Physics — Phenomenology (hep-ph); High Energy Physics — Experiment (hep-ex); High Energy Physics — Lattice (hep-lat); Nuclear Experiment (nucl-ex); Nuclear Theory (nucl-th)
arXiv:
2309.17282 [pdf]
PRD(2024)·20 citations

Affiliations

first authorsco-authorsvia INSPIRE

Diquarks and Λ0/π+, Ξ−/π+ ratios in the framework of the EPNJL model

Extraction of the neutron F2 structure function from inclusive proton and deuteron deep-inelastic scattering data

Energy minimization of paired composite fermion wave functions in the spherical geometry

Near-threshold resonance in e+e−→Λc​Λˉc​ process

Doubly heavy tetraquark states in the constituent quark model using diffusion Monte Carlo method

An algebraic model to study the internal structure of pseudo-scalar mesons with heavy-light quark content

Affiliations

Diquarks and $Λ^{0} / π^{+}$ , $Ξ^{-} / π^{+}$ ratios in the framework of the EPNJL model

Near-threshold resonance in $e^{+} e^{-} \to Λ_{c} Λ ˉ_{c}$ process