Nuclear Theory·nucl-th

Thursday·December 9, 2021

10 papers—5 primary·5 cross-listed

06
Quantum Simulation of Chiral Phase Transitions
Alexander M. Czajka🇺🇸 · Zhong-Bo Kang🇺🇸 · Henry Ma🇺🇸 · Fanyi Zhao🇺🇸
The Nambu-Jona-Lasinio (NJL) model has been widely studied for investigating the chiral phase structure of strongly interacting matter. The study of the thermodynamics of field theories within the framework of Lattice Field Theory is limited by the sign problem, which prevents Monte Carlo evaluation of the functional integral at a finite chemical potential. Using the quantum imaginary time evolution (QITE) algorithm, we construct a quantum simulation for the $(1 + 1)$ dimensional NJL model at finite temperature and finite chemical potential. We observe consistency among digital quantum simulation, exact diagonalization, and analytical solution, indicating further applications of quantum computing in simulating QCD thermodynamics.
↳ hep-phhep-exhep-latnucl-th+1JHEP(2022)·40 citations
07
$x$ -dependence reconstruction of pion and kaon PDFs from Mellin moments
Constantia Alexandrou🇨🇾 · Simone Bacchio🇨🇾 · Ian Cloët🇺🇸 · Martha Constantinou🇺🇸 · Kyriakos Hadjiyiannakou🇨🇾 · Giannis Koutsou🇨🇾 · Colin Lauer🇺🇸
We present a calculation of the connected-diagram contributions to the first three non-trivial Mellin moments for the pion and kaon, extracted using local operators with up to 3 covariant derivatives. We use one ensemble of gauge configurations with two degenerate light, a strange and a charm quark ( $N_{f}$ =2+1+1) of maximally twisted mass fermions with clover improvement. The ensemble has a pion mass $\sim$ 260 MeV, and a kaon mass $\sim$ 530 MeV. We reconstruct the $x$ -dependence of the PDFs via fits to our results, and find that our lattice data favor a $(1 - x)^{2}$ -behavior in the large- $x$ region for both the pion and kaon PDFs. We integrate the reconstructed PDFs to extract the higher moments, $⟨ x^{n} ⟩$ , with $4 \leq n \leq 6$ . Finally, we compare the pion and kaon PDFs, as well as the ratios of their Mellin moments, to address the effect of SU(3) flavor symmetry breaking.
↳ hep-lathep-phnucl-thPoS(2022)·2 citations
08
Pion and kaon form factors using twisted-mass fermions
Constantia Alexandrou🇨🇾 · Simone Bacchio🇨🇾 · Ian Cloët🇺🇸 · Martha Constantinou🇺🇸 · Joseph Delmar🇺🇸 · Kyriakos Hadjiyiannakou🇨🇾 · Giannis Koutsou🇨🇾 · Colin Lauer🇺🇸 · Alejandro Vaquero Avilés-Casco🇺🇸
We present a calculation of the scalar, vector and tensor pion and kaon form factors using one ensemble of two degenerate light, a strange and a charm quark ( $N_{f} = 2 + 1 + 1$ ) of maximally twisted mass fermions with clover improvement. The quark masses are chosen so that they produce a pion mass of about 265 MeV, and a kaon mass of 530 MeV. The lattice spacing of the ensemble is 0.093 fm and the lattice has a spatial extent of 3 fm. We use a rest frame, as well as a boosted frame to obtain the form factors for a wider and denser set of four-vector momentum transfer squared, $Q^{2}$ . To assess and eliminate excited-states contamination, we analyze several values of the source-sink time separation within the range of 1.12 - 2.23 fm (1.12 - 1.67 fm) for the rest (boosted) frame. The $Q^{2}$ dependence of the form factors is parametrized using a monopole fit, which leads to the extraction of the corresponding radius, and the tensor anomalous magnetic moment for the tensor form factor. The results for these parametrizations are compared for the pion and kaon to assess the level of the SU(3) flavor symmetry breaking.
↳ hep-lathep-phnucl-thPoS(2022)·1 citation
09
Radiative decay of the $Ξ_{c} (2923)$ in a hadronic molecule picture
Feng Yang🇨🇳 · Hong Qiang Zhu🇨🇳 · Yin Huang🇰🇷
In the present work, we study the radiative decay of newly observed $Ξ_{c} (2923)^{0}$ based on the successful explanation that $Ξ_{c} (2923)^{0}$ is an $S$ -wave $D Λ - D Σ$ molecular state in our previous study~\cite{Zhu:2020jke}. The radiative decay width of $D Λ - D Σ$ molecular state into $Ξ_{c}^{0} γ$ final state through hadronic loops are evaluated using effective Lagrangians. We find that decay width $Ξ_{c} (2923)^{0} \to Ξ_{c}^{0} γ$ and $Ξ_{c} (2923)^{0} \to Ξ_{c}^{^{'} 0} γ$ is evaluated to be approximately 1.23-11.66 KeV and 0.30-3.71 KeV, respectively. These are different from the results~\cite{Wang:2020gkn,Bijker:2020tns} that obtained by assuming $Ξ_{c} (2923)^{0}$ may be conventional charmed baryon. If measurements are in future experimental, these differences will be very useful to help us to test various interpretations of $Ξ_{c} (2923)^{0}$ .
↳ hep-phhep-exnucl-th1 citation
10
Tetraquarks: relativistic corrections and other issues
Jean-Marc Richard🇫🇷 · Alfredo Valcarce🇪🇸 · Javier Vijande🇪🇸
We discuss the effect of relativistic kinematics on the binding energy of multiquark states. For a given potential, the use of relativistic kinematics lowers the energy by a larger amount for the threshold made of two mesons than for a tetraquark, so that its binding is weakened. Some other issues associated with exotic hadrons are also briefly discussed.
↳ hep-phnucl-thRev.Mex.Fis.Suppl.(2022)·2 citations

Affiliations

first authorsco-authorsvia INSPIRE

Quantum Simulation of Chiral Phase Transitions

x-dependence reconstruction of pion and kaon PDFs from Mellin moments

Pion and kaon form factors using twisted-mass fermions

Radiative decay of the Ξc​(2923) in a hadronic molecule picture

Tetraquarks: relativistic corrections and other issues

Affiliations

$x$ -dependence reconstruction of pion and kaon PDFs from Mellin moments

Radiative decay of the $Ξ_{c} (2923)$ in a hadronic molecule picture