Quadrupole moments of spin-1 systems: the rho meson, the S-wave deuteron and some general constraints

Abstract

We costruct the relativistic operator of the quadrupole moment of two-particle composite spin one systems with zero orbital moment of the relative motion and derive explicit analytical expression for the quadrupole moment using the approach to relativistic composite systems based on our version of the instant-form relativistic quantum mechanics (RQM). We calculate the quadrupole moments of the rho meson and of the S-wave deuteron without any free parameters, using our unified pi&rho model (Phys. Rev.D 93, 036007 (2016); 97, 033007 (2018)) and our previous results on deuteron. Our calculation gives Q_rho=-0.158+-0.04 GeV^-2 and Q_d=-1.4*10^-4 GeV^-2. Having in our disposition the rather general form of the quadrupole-moment operator we for the first time formulate the problem of the upper and lower bounds for possible values of the quadrupole moment of a two-particle system with indicated quantum numbers for a large range of constituent masses, and partially solve it.

12 pages (revtex twocolumn), 7 figures

References in corpus (17)

• Determination of the Charged Pion Form Factor at Q2=1.60 and 2.45 (GeV/c)2
• Charged pion form factor between Q^2=0.60 and 2.45 GeV^2. II. Determination of, and results for, the pion form factor
• pi- and rho-mesons, and their diquark partners, from a contact interaction
• Vector meson form factors and their quark-mass dependence
• Charged pion form factor between $Q^2$=0.60 and 2.45 GeV${}^2$. I. Measurements of the cross section for the ${}^1$H($e,e^{\prime }{\pi }^{+}$)$n$ reaction
• Pseudoscalar and vector meson form factors from lattice QCD
• Light Meson Form Factors at near Physical Masses
• The radius of the rho meson determined from its decay constant
• Quasi-two-body decays $B_{(s)}\to P{\rho }^{\prime }(1450),P{\rho }^{\prime \prime }(1700)\to P\pi \pi$ in the perturbative QCD approach
• Determination of the properties of vector mesons in external magnetic field by Quenched $SU(3)$ Lattice QCD
• Electromagnetic rho-meson form factors in point-form relativistic quantum mechanics
• Magnetic moment of the rho meson in instant-form relativistic quantum mechanics
• Deuteron tensor polarization component T_20(Q^2) as a crucial test for deuteron wave functions
• Light-Front Spin-1 Model: Parameters Dependence
• The K-meson form factor and charge radius: linking low-energy data to future high-energy Jefferson Laboratory results
• Analytical Form of the Deuteron Wave Function Calculated within the Dispersion Approach
• Constraining scenarios of the soft/hard transition for the pion electromagnetic form factor with expected data of 12-GeV Jefferson Lab experiments and of the Electron-Ion Collider

Cited by in corpus (1)

• Pion gravitational form factors in a relativistic theory of composite particles