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In this paper, we consider the Dirac-Hartree-Fock equations for system has many-particles. The difficulties associated with Gaussians model are likely to be more complex in relativistic Dirac-Hartree-Fock calculations. To processing these…

Atomic Physics · Physics 2019-12-11 Bilal K. Jasim , Ayad A. Al-Ani. Saad N. Abood

We study the chiral expansion of the baryon octet and decuplet masses in the isospin limit. It is illustrated that a chiral expansion of the one-loop contributions is rapidly converging up to quark masses that generously encompasses the…

High Energy Physics - Lattice · Physics 2019-07-31 M. F. M. Lutz , Yonggoo Heo , Xiao-Yu Guo

The masses of the ground state heavy baryons consisting of two light (u,d,s) and one heavy (c,b) quarks are calculated in the heavy-quark--light-diquark approximation within the constituent quark model. The light quarks, forming the…

High Energy Physics - Phenomenology · Physics 2009-11-11 D. Ebert , R. N. Faustov , V. O. Galkin

We give a survey of recent development and applications of the chiral quark soliton model (also called the Nambu-Jona-Lasinio soliton model) with $N_f$=2 and $N_f$=3 quark flavors for the structure of baryons. The model is an effective…

High Energy Physics - Phenomenology · Physics 2009-10-30 Teruaki Watabe , Klaus Goeke

We present isovector nucleon observables: the axial, tensor, and scalar charges and the Dirac radius. Using the BMW clover-improved Wilson action and pion masses as low as 149 MeV, we achieve good control over chiral extrapolation to the…

High Energy Physics - Lattice · Physics 2013-01-11 Jeremy Green , Michael Engelhardt , Stefan Krieg , John Negele , Andrew Pochinsky , Sergey Syritsyn

A new method for solving the time-dependent two-center Dirac equation is developed. The time-dependent Dirac wave function is represented as a sum of atomic-like Dirac-Sturm orbitals, localized at the ions. The atomic orbitals are obtained…

We consider matrix elements of two-nucleon operators that arise in chiral effective theories of the two-nucleon system. Generically, the short-distance piece of these operators scales as 1/r^n, with r the relative separation of the two…

Nuclear Theory · Physics 2008-11-26 L. Platter , D. R. Phillips

We briefly describe our relativistic quark-diquark model, developed within the framework of point form dynamics, which is the relativistic extension of the interacting quark-diquark model. In order to do that we have to show the main…

High Energy Physics - Phenomenology · Physics 2015-10-05 M. De Sanctis , J. Ferretti , E. Santopinto , A. Vassallo

The improved quark mass density- dependent model which includes the coupling between the quarks and a non-linear scalar field is presented. Numerical analysis of solutions of the model is performed over a wide range of parameters. The wave…

Nuclear Theory · Physics 2009-11-11 Chen Wu , Wei Liang Qian , Ru-Keng Su

The mass spectra of singly charmed and bottom baryons, $\Lambda_{c/b}(1/2^\pm,3/2^-)$ and $\Xi_{c/b}(1/2^\pm,3/2^-)$, are investigated using a nonrelativistic potential model with a heavy quark and a light diquark. The masses of the scalar…

High Energy Physics - Phenomenology · Physics 2020-07-15 Yonghee Kim , Emiko Hiyama , Makoto Oka , Kei Suzuki

A model is considered in which the scale of the heavy singlet neutrinos is a few orders of magnitude below the grand unification scale and where right-handed vector bosons play still a negligible role. In a basis with diagonal up-quark and…

High Energy Physics - Phenomenology · Physics 2011-02-01 Berthold Stech

We calculate the disconnected contribution to isoscalar nucleon charges for scalar, axial and tensor channels of light and strange quarks. The calculation has been done with the Clover valence quarks on the MILC $N_f=2+1+1$ HISQ lattices…

High Energy Physics - Lattice · Physics 2015-03-23 Tanmoy Bhattacharya , Rajan Gupta , Boram Yoon

We propose a chiral quark model including the $\omega$ and $\rho$ meson contributions in addition to the $\pi$ and $\sigma$ meson contributions. We show that the masses of the ground state baryons such as the nucleon, $\Lambda_c$ and…

High Energy Physics - Phenomenology · Physics 2023-06-28 Bing-Ran He , Masayasu Harada , Bing-Song Zou

A previous work establishing a connection between a quark model, with relativistic kinematics and a $Y$-confinement plus one gluon exchange, and the $1/N_c$ expansion mass formula is extended to strange baryons. Both methods predict values…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. Semay , F. Buisseret , F. Stancu

The wave functions in the diquark-quark model for baryons are modified to take into account the effect of the different masses of the quarks in diquark formation. A spatial wave function is introduced multiplying each flavour-spin…

High Energy Physics - Phenomenology · Physics 2007-05-23 W. S. Carvalho , A. C. B. Antunes

The equation of state of symmetric nuclear matter with the inclusion of non-strange dibaryons is studied. We pay special attention to the existence of a dibaryon condensate at zero temperature. These calculations have been performed in an…

Nuclear Theory · Physics 2014-11-18 R. Aguirre , M. Schvellinger

The bispinor wave function finds its fundamental application in the study of electrons, neutrinos and protons as particles bound by their own potentials. Classical electromagnetism and the Dirac electron theory appear to be natural…

Quantum Physics · Physics 2016-09-08 Yair Goldin

These notes provide a review of various neutrino mass model and their implications for particle physics and the Standard Model. We discuss how mass terms are incorporated into the Standard Model, including the Dirac mass term and the…

High Energy Physics - Phenomenology · Physics 2023-10-30 Aditya Dev

The data from the last seven experiments performed on polarized deep--inelastic scattering on proton and neutron (or deuteron) targets have been analyzed in search of a precise determination of the spin fraction carried by the quarks in the…

High Energy Physics - Phenomenology · Physics 2008-02-03 Paolo M. Gensini

We investigate scalar matrix elements of the nucleon using $N_f=2+1+1$ flavors of maximally twisted mass fermions at a fixed value of the lattice spacing of $a\approx 0.078{\rm fm}$. We compute disconnected contributions to the relevant…

High Energy Physics - Lattice · Physics 2012-02-17 S. Dinter , V. Drach , K. Jansen