The Effect of Antisymmetrization in Diquark Models of Baryons

Abstract

The effect of antisymmetrization in diquark models of baryons composed of light (u&d) quarks is investigated. The diquark in this study is considered alternately as a point-like and as a composite particle where antisymmetrization is taken into account by means of Generator Coordinate Model operator kernels. The effect on ground state masses and form factors is striking and we are able to conclude that there is a strong dynamical effect due to the presence of antisymmetrization in diquark models of baryons.

Investigation on Planck scale physics by the AURIGA gravitational bar detector

“…where ω j , Q j , and L j are, respectively, the resonant pulsation, the quality factor, and the effective inductance of the mode j. They are estimated by fitting the experimental data with the function (13). Note that Q j includes all the regenerative effects due to the dynamic SQUID input impedance [45] and the effects of the cold damping loop.…”

“…. According to the fluctuation dissipation theorem, and using equation (13) around each mode, it should be equal to: , where Q int is the intrinsic mode quality factor. The relation (14) allows us to to estimate the mode equivalent temperature and then ultimately the thermal energy E j stored on each mode as:…”

“…This implies a lower bound on the uncertainty in D, given by Δ ⩾ =  D L 2 G c p min 2 3 . Although these simple considerations cannot be considered as a rigorous demonstration, the existence of a minimal measurable length of the order of the Planck length is a common feature of different approaches to quantum gravity [9,10], such as string theory [11,12] and loop quantum gravity, as well as of doubly special relativity [13] and gedanken experiments in black hole physics [14][15][16].…”