Subscribe to the gold package and get unlimited access to Shamra Academy
Register a new userPhenomenological Formulae for Quarks, Baryons and Mesons
54
0
0.0
(
0
)
Authors
Jiao Lin Xu
Ask ChatGPT about the research
No Arabic abstract
From only two elementary quarks ($epsilon_{u}(0) $ and $epsilon_{d}(0)) $ and the symmetries of the regular rhombic dodecahedron, using phenomenological formulae, we deduced the rest masses and the intrinsic quantum numbers (I, S, C, b and Q) of a quark spectrum. The five ground quarks of the four kinds of the deduced quarks are the five quarks of the current quark model. Then, from the quark spectrum, using sum laws and a phenomenological binding energy formula, we deduced a baryon spectrum. Finally, using the sum laws and a phenomenological binding energy formula, we deduce a meson spectrum from the quark spectrum. The intrinsic quantum numbers (I, S, C, b and Q) of the deduced baryons and the deduced mesons are the same as those of the experimental results. The rest masses of the deduced baryons and the deduced mesons are consistent with the experimental results (98%). Most of the deduced quarks in Table 11 have already been discovered by experiments. This paper infers that there are huge constant binding energies for baryons and mesons respectively. The huge binding energies provide a possible foundation for the confinement of the quarks. This paper predicts many new baryons $Lambda_{c}^{+}(6599) $, $Lambda {b}^{0}(9959) $ and $Lambda ^{0}(3369) $, ...) and new mesons (D(6231), B(9503) and $Upsilon (17868) $, ...)
rate research
Read More
Using phenomenological formulae, we deduce the masses and quantum numbers of the quarks from two elementary quarks ($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.
We construct a phenomenological model which describes the dynamical chiral symmetry breaking (DCSB) of QCD vacuum and reproduces meson spectra. Quark condensates, the pion decay constant, and meson spectra are well reproduced by phenomenological interaction which consists of a linear confining potential, a Coulombic potential, and the t Hooft determinant interaction. In this model, the t Hooft determinant interaction plays a important role not to only eta,eta mass difference, but other meson masses through DCSB.
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.
In the quasilinear Regge trajectory ansatz, some useful linear mass inequalities, quadratic mass inequalities and quadratic mass equalities are derived for mesons and baryons. Based on these relations, mass ranges of some mesons and baryons are given. The masses of bc-bar and ss-bar belonging to the pseudoscalar, vector and tensor meson multiplets are also extracted. The J^P of the baryon Xi_cc(3520) is assigned to be 1/2^+. The numerical values for Regge slopes and intercepts of the 1/2^+ and 3/2^+ SU(4) baryon trajectories are extracted and the masses of the orbital excited baryons lying on the 1/2^+ and 3/2^+ trajectories are estimated. The J^P assignments of baryons Xi_c(2980), Xi_c(3055), Xi_c(3077) and Xi_c(3123) are discussed. The predictions are in reasonable agreement with the existing experimental data and those suggested in many other different approaches. The mass relations and the predictions may be useful for the discovery of the unobserved meson and baryon states and the J^P assignment of these states.
Log in to be able to interact and post comments
comments
Fetching comments
Sign in to be able to follow your search criteria
