Neutrino Splitting for Lorentz-Violating Neutrinos: Detailed Analysis

Lorentz-violating neutrino parameters have been severely constrained on the basis of astrophysical considerations. In the high-energy limit, one generally assumes a superluminal dispersion relation of an incoming neutrino of the form E ~ |p|v, where E is the energy, p is the momentum and $v = sqrt(1 + delta) > 1. Lepton-pair creation due to a Cerenkov-radiation-like process (nu -> nu + e^- + e^+) becomes possible above a certain energy threshold, and bounds on the Lorentz-violating parameter delta can be derived. Here, we investigate a related process, nu_i -> nu_i + nu_f + bar_nu_f, where nu_i is an incoming neutrino mass eigenstate, while nu_f is the final neutrino mass eigenstate, with a superluminal velocity that is slightly slower than that of the initial state. This process is kinematically allowed if the Lorentz-violating parameters at high energy differ for the different neutrino mass eigenstates. Neutrino splitting is not subject to any significant energy threshold condition and could yield quite a substantial contribution to decay and energy loss processes at high energy, even if the differential Lorentz violation among neutrino flavors is severely constrained by other experiments. We also discuss the SU(2)-gauge invariance of the superluminal models and briefly discuss the use of a generalized vierbein formalism in the formulation of the Lorentz-violating Dirac equation.Comment: 17 pages; RevTeX; to appear in Physical Review

Neutrino Splitting for Lorentz-Violating Neutrinos: Detailed Analysis

Lorentz-violating neutrino parameters have been severely constrained on the basis of astrophysical considerations. In the high-energy limit, one generally assumes a superluminal dispersion relation of an incoming neutrino of the form E≈ |p ⃗|v , where E is the energy, p ⃗ is the momentum and v ₌ √(1+ δ) \u3e 1. Lepton-pair creation due to a Cerenkov-radiation-like process (ν → ν + е-+e+) becomes possible above a certain energy threshold, and bounds on the Lorentz-violating parameter δ can be derived. Here, we investigate a related process, νi→ νi+ νf+ ν ‾f, where νi is an incoming neutrino mass eigenstate, while νf is the final neutrino mass eigenstate, with a superluminal velocity that is slightly slower than that of the initial state. This process is kinematically allowed if the Lorentz-violating parameters at high energy differ for the different neutrino mass eigenstates. Neutrino splitting is not subject to any significant energy threshold condition and could yield quite a substantial contribution to decay and energy loss processes at high energy, even if the differential Lorentz violation among neutrino flavors is severely constrained by other experiments. We also discuss the SU(2)L-gauge invariance of the superluminal models and briefly discuss the use of a generalized vierbein formalism in the formulation of the Lorentz-violating Dirac equation

Mineral content of three several muscles from six cattle genotypes

The aim of this study was to determine the effect of genotype and type of muscle on the mineral content of beef. Altogether 62 young bulls from Angus, Charolais, Holstein, Hungarian Simmental, Hungarian Grey, and Charolais×Hungarian Grey were used. The calcium content varied between 26–46 mg kg−1, in longissimus muscle of Hungarian Simmental it was significantly higher than for other genotypes except for Angus. Psoas major of Holstein had the highest phosphorus content, it significantly differed from the longissimus of Angus. Longissimus muscle of Angus was the poorest for magnesium, and the richest was the psoas major of Holstein and Hungarian Grey. Charolais had higher level of potassium in psoas major than Angus and Charolais×Hungarian Grey. Sodium content of semitendinosus in Charolais×Hungarian Grey was lower than in Holstein. Present data showed that levels were detected in the longissimus of Angus and semitendinosus of Holstein. Concerning zinc, a higher level was found in longissimus, especially for Holstein. The results confirmed that beef mineral content depends on genotype, and is related to muscle type, too

Effect of animal fats on the physical properties of palm fat

Palm fat is one of the most commonly used fats in food industry. The main role of palm fat is to develop the desired texture of food products. Fat blends were developed to find the most appropriate mixture fitting the technological needs. In our work palm mid fraction (PMF) was mixed with anhydrous milk fat (AMF), goose fat (G), and lard (L) in a 1:1 ratio. Anhydrous milk fat represents fat consisting of a wide range of fatty acids. Goose fat is a soft, easily melting fat, and lard is characterized as animal fat with wide melting temperature interval. The measurements aimed to establish the miscibility of the fats and the effect of animal fats on the melting-solidification profile of palm mid fraction. SFC vs temperature curves, Differential Scanning Calorimetry (DSC) melting thermograms describe the melting profile of the samples. Isotherm crystallization by SFC vs time curves and DSC cooling thermograms were measured to characterize the solidification of pure fats and the blends. Since the SFC curves did not show crosspoints we concluded that fats blended in a 1:1 ratio were miscible. Anhydrous milk fat strongly modified the properties of palm mid fraction, the blend became similar to anhydrous milk fat. Goose fat had no strong modification effect on palm mid fraction and could be considered as a softening agent. The effect of lard was complex: melting and solidification behaviour of the blend differed from the characteristics of both parent fats

Leaf number and plant height of three Canna x generalis cultivars

The aim of this three-year study was to evaluate the effect of three treatments (thiophanate methyl, charcoal dust, and control) on leaf number and plant height on three Canna x generalis cultivars (City of Portland, Richard Wallace and Robert Kemp). Results showed that the 3-year means of leaf number ranged from 13.9 to 23.1 for the three cultivars. The largest leaf numbers were for cultivar Robert Camp (23.1 in 2010) and the lowest for cultivar City of Portland (13.9 in 2011). Thiophanate methyl treatment produced the highest number of leaves and the values were significantly different at P< 0.05 from the control for all years and for all cultivars. Numbers of leaves in charcoal dust treatments were larger than the control treatments but it was not significantly different. Results on plant height ranged from 69.2 to 160.5 cm for the three cultivars. The largest plant height was for cultivar Robert Kemp (160.5 cm in 2011) and the lowest for cultivar City of Portland (69.2 cm in 2011). Thiophanate methyl treatment produced the highest plant height and the values were significantly different at P< 0.05 from the control for all years and for all cultivars. Plant heights in charcoal dust treatments were larger than the control treatments but it was not significantly different

Leaf number and plant height of three Canna x generalis cultivars

The aim of this three-year study was to evaluate the effect of three treatments (tiophanate methyl, charcosal dust, and control) on leaf number and plant height on three Canna x generalis cultivars (City of Portland, Richard Wallace and Robert Kemp). Results showed that the 3-year means of leaf number ranged from 13.7 to 22.4 for the three cultivars. The largest leaf numbers were for cultivar Robert Camp (22.4 in 2010) and the lowest for cultivar City of Portland (13.7 in 2011). Tiophanate methyl treatment produced the highest number of leaves and the values were significantly different at P< 0.05 from the control for all years and for all cultivars. Numbers of leaves in charcosal dust treatments were larger than the control treatments but it was not significantly different. Results on plant height ranged from 65.8 to 160.1 cm for the three cultivars. The largest plant height was for cultivar Robert Camp (160.1 cm in 2010) and the lowest for cultivar City of Portland (65.8 cm in 2011). Tiophanate methyl treatment produced the highest plant height and the values were significantly different at P< 0.05 from the control for all years and for all cultivars. Plant heights in charcosal dust treatments were larger than the control treatments but it was not significantly different