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We investigate whether magnetic field induced $\pi-\rho$ mixing can explain the non-monotonic behavior of the charged pion reported in lattice QCD. Using a near-pole effective action derived from the SU(2)$_f$ Nambu--Jona-Lasinio model, we…

高能物理 - 唯象学 · 物理学 2026-05-05 Ziyue Wang

The $\pi_0$ neutral meson pole mass is calculated in a strongly magnetized medium using the SU(2) Nambu-Jona-Lasinio model within the random phase approximation (RPA) at zero temperature and zero baryonic density. We employ a magnetic field…

高能物理 - 唯象学 · 物理学 2017-02-23 Sidney S. Avancini , Ricardo L. S. Farias , Marcus Benghi Pinto , William R. Tavares , Varese S. Timóteo

We employ a variational basis with a number of $\bar{q}q$ and $\pi\pi$ lattice interpolating fields with quantum numbers of the $\rho$ resonance to extract the discrete energy spectrum in a finite volume. In the elastic region, this…

高能物理 - 格点 · 物理学 2014-04-21 C. B. Lang , Daniel Mohler , Sasa Prelovsek , Matija Vidmar

We calculate the pole masses of pseudoscalar mesons in a strongly magnetized medium within the framework of the SU(3) Nambu-Jona--Lasinio model, using a magnetic field-independent regularization scheme. We employ both a constant and a…

高能物理 - 唯象学 · 物理学 2021-12-01 Sidney S. Avancini , Máximo Coppola , Norberto N. Scoccola , Joana C. Sodré

In this work we calculate the pole-mass of the $\rho^0$ meson with different spin projections $s_z=0,\pm 1$ in the context of the magnetized two-flavor Nambu--Jona--Lasinio model. Making use of the mean field approximation to obtain the…

高能物理 - 唯象学 · 物理学 2022-06-22 Sidney S. Avancini , Ricardo L. S. Farias , William R. Tavares , Varese S. Timóteo

We collect spectra extracted in the $I=\ell=1$ $\pi\pi$ sector provided by various lattice QCD collaborations and study the $m_\pi$ dependence of $\rho$-meson properties using Hamiltonian Effective Field Theory (HEFT). In this unified…

高能物理 - 格点 · 物理学 2024-03-18 Kang Yu , Yan Li , Jia-Jun Wu , Derek B. Leinweber , Anthony W. Thomas

An analysis of the pion mass and pion decay constant is performed using mixed-action Lattice QCD calculations with domain-wall valence quarks on ensembles of rooted, staggered n_f = 2+1 MILC configurations. Calculations were performed at…

高能物理 - 格点 · 物理学 2012-11-14 S. R. Beane , W. Detmold , P. M. Junnarkar , T. C. Luu , K. Orginos , A. Parreno , M. J. Savage , A. Torok , A. Walker-Loud

We present our preliminary results concerning the charged/neutral pion mass difference $M_{\pi^{+}} - M_{\pi^{0}}$ at order $\mathcal{O}(\alpha_{em})$ in the QED interactions, and for $M_{\pi^{+}} - M_{\pi^{0}}$ at order $\mathcal{O}\left(…

高能物理 - 格点 · 物理学 2021-12-03 R. Frezzotti , G. Gagliardi , V. Lubicz , G. Martinelli , F. Sanfilippo , S. Simula

We present a lattice QCD investigation of the $\rho$ resonance using nine $N_f = 2 + 1$ Wilson-Clover ensembles with three lattice spacings and various pion masses ranging from $135$ to $320$ MeV. For each ensemble, a large number of finite…

高能物理 - 格点 · 物理学 2025-02-07 Zhengli Wang , Derek B. Leinweber , Chuan Liu , Liuming Liu , Peng Sun , Anthony W. Thomas , Jia-jun Wu , Hanyang Xing , Kang Yu

The background magnetic-field formalism of Lattice QCD has been used recently to calculate the magnetic polarizability of the charged pion. These $n_f = 2 + 1$ numerical simulations are electro-quenched, such that the virtual sea-quarks of…

核理论 · 物理学 2021-09-22 Fangcheng He , D. B. Leinweber , A. W. Thomas , P. Wang

We present a calculation of the charged pion electric polarizability using the background field method. To extract the mass-shift induced by the electric field for the accelerated charged particle we fit the lattice QCD correlators using…

高能物理 - 格点 · 物理学 2021-08-04 Hossein Niyazi , Andrei Alexandru , Frank X. Lee , Michael Lujan

We present non-perturbative results for beyond the standard model kaon mixing matrix elements in the isospin symmetric limit ($m_u=m_d$) of QCD, including a complete estimate of all dominant sources of systematic error. Our results are…

We investigate the possibility of charged pion condensation in the presence of parallel rotation and magnetic field within the Nambu--Jona-Lasinio model with quarks as the fundamental degrees of freedom. Previous study based on…

核理论 · 物理学 2019-11-20 Gaoqing Cao , Lianyi He

We determine the light meson spectrum in QCD in the presence of background magnetic fields using quenched Wilson fermions. Our continuum extrapolated results indicate a monotonous reduction of the connected neutral pion mass as the magnetic…

高能物理 - 格点 · 物理学 2018-03-06 Gunnar S. Bali , Bastian B. Brandt , Gergely Endrodi , Benjamin Glaessle

We study light meson properties in a magnetic field, focusing on a charged pion and a charged and polarized rho meson, in quenched lattice QCD. The gauge-invariant density-density correlators are calculated to investigate the deformation…

高能物理 - 格点 · 物理学 2019-04-30 Koichi Hattori , Arata Yamamoto

We evaluate by means of lattice QCD calculations the low-energy constant $\ell_{7}$ which parametrizes strong isospin effects at NLO in $\rm{SU}(2)$ chiral perturbation theory. Among all low-energy constants at NLO, $\ell_{7}$ is the one…

高能物理 - 格点 · 物理学 2021-10-27 R. Frezzotti , G. Gagliardi , V. Lubicz , G. Martinelli , F. Sanfilippo , S. Simula

The behavior of charged and neutral pion masses in the presence of a static uniform magnetic field is studied in the framework of the two-flavor Nambu-Jona-Lasinio (NJL) model. Analytical calculations are carried out employing the Ritus…

高能物理 - 唯象学 · 物理学 2018-05-07 M. Coppola , D. Gomez Dumm , N. N. Scoccola

We calculate the parameters describing elastic $I=1$, $P$-wave $\pi\pi$ scattering using lattice QCD with $2+1$ flavors of clover fermions. Our calculation is performed with a pion mass of $m_\pi \approx 320\:\:{\rm MeV}$ and a lattice size…

Using lattice QCD on a $16^{3}\times 24$ lattice at $\beta=6.0$, we examine the elastic limit of charge overlap functions in the quenched approximation for the pion and rho meson; results are compared to previous direct current insertion…

高能物理 - 格点 · 物理学 2009-10-28 William Andersen , Walter Wilcox

We present a lattice calculation of the charged/neutral pion mass difference $M_{\pi^{+}}-M_{\pi^{0}}$ at order $\mathcal{O}(\alpha_{em})$ using the gauge configurations produced by the Extended Twisted Mass Collaboration with $N_{f}=2+1+1$…

高能物理 - 格点 · 物理学 2022-07-20 R. Frezzotti , G. Gagliardi , V. Lubicz , G. Martinelli , F. Sanfilippo , S. Simula
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