No Arabic abstract
Using an expanded form of Planck-Bohrs quantization method and phenomenological formulae,} {small we deduce the rest masses and intrinsic quantum numbers (I, S, C, b and Q) of all kinds of the lowest energy quarks and baryons, from only one elementary quark family}$epsilon $ {small with S = C = b = 0. The deduced quantum numbers match those found in experiments. The deduced rest masses are consistent with experimental results. This paper predicts some quarks $text{u}_{C}text{(6073),}$}d$_{S}${small (9613)} {small $text{and d}_{b}text{(9333)}$and baryons $Lambda_{c}^{+}$% (6696), $Lambda_{b}$(9959)and $Lambda $(10239).
Using a three step quantization and phenomenological formulae, we can deduce the rest masses and intrinsic quantum numbers (I, S, C, B and Q) of quarks from only one unflavored elementary quark family $epsilon$ with S = C = B = 0 in the vacuum. Then using sum laws, we can deduce the rest masses and intrinsic quantum numbers of baryons and meson from the deduced quarks. The deduced quantum numbers match experimental results exactly. The deduced rest masses are consistent with experimental results. This paper predicts some new quarks [d_{s}(773), d_{s}(1933), u_{c}(6073), d_{b}(9333)], baryons [$Lambda_{c}$(6699), $Lambda_{b}$(9959)] and mesons [D(6231), B(9502)]. PACS: 12.60.-i; 12.39.-x; 14.65.-q; 14.20.-c Key word: beyond the standard model
Using phenomenological formulae, we deduce the masses and quantum numbers of the quarks from two elementary quarks ($epsilon_{u}$ and $epsilon_{d}$) first. Then using the sum laws and a binding energy formula, in terms of the qqq baryon model and SU(4), we deduce the masses and quantum numbers of the important baryons from the deduced quarks. At the same time, using the sum laws and a binding energy formula, in terms of the quark-antiquark bound state meson model, we deduce the masses and quantum numbers of the mesons from the deduced quarks. The deduced masses of the baryons and mesons are 98% consistent with experimental results. The deduced quantum numbers of the baryons and mesons match with the experimental results exactly. In fact this paper improves upon the Quark Model, making it more powerful and more reasonable. It predicts some baryonsalso. PACS: 12.39.-x; 14.65.-q; 14.20.-c keywords: phenomenology, elementary, quark, mass, SU(4), baryon, meson
Using phenomenological formulae, we can deduce the rest masses and intrinsic quantum numbers (I, S, C, B and Q) of quarks, baryons and mesons from only one unflavored elementary quark family. The deduced quantum numbers match experimental results exactly, and the deduced rest masses are 98.5% (or 97%) consistent with experimental results for baryons (or mesons). This paper predicts some quarks [d_{S}(773), d_{S}(1933) and u_{C}(6073)], baryons [$Lambda_{c}(6599)$, $Lambda_{b)(9959)$] and mesons [D(6231), B(9502)]. PACS: 12.39.-x; 14.65.-q; 14.20.-c. Keywords: phenomenological, beyond the standard model.
Baryons with one or more heavy quarks have been shown, in the context of a nonrelativistic description, to exhibit mass inequalities under permutations of their quarks, when spin averages are taken. These inequalities sometimes are invalidated when spin-dependent forces are taken into account. A notable instance is the inequality $2E(Mmm) > E(MMm) + E(mmm)$, where $m = m_u = m_d$, satisfied for $M = m_b$ or $M = m_c$ but not for $M = m_s$, unless care is taken to remove effects of spin-spin interactions. Thus in the quark-level analog of nuclear fusion, the reactions $Lambda_b Lambda_b to Xi_{bb}N$ and $Lambda_c Lambda_c to Xi_{cc}^{++}n$ are exothermic, releasing respectively 138 and 12 MeV, while $Lambda Lambda to Xi N$ is endothermic, requiring an input of between 23 and 29 MeV. Here we explore such mass inequalities in the context of an approach, previously shown to predict masses successfully, in which contributions consist of additive constituent-quark masses, spin-spin interactions, and additional binding terms for pairs each member of which is at least as heavy as a strange quark.
We report on our calculation of the pion electromagnetic form factor with two-flavors of dynamical overlap quarks. Gauge configurations are generated using the Iwasaki gauge action on a 16^3 times 32 lattice at the lattice spacing of 0.12fm with sea quark masses down to m_s/6, where m_s is the physical strange quark mass. We describe our setup to measure the form factor through all-to-all quark propagators and present preliminary results.