Generalized Emission Functions for Photon Emission from Quark-Gluon Plasma

The Landau-Pomeranchuk-Migdal effects on photon emission from the quark gluon plasma have been studied as a function of photon mass, at a fixed temperature of the plasma. The integral equations for the transverse vector function (${\bf \tilde{f}(\tilde{p}_\perp)}$) and the longitudinal function ($\tilde{g}({\bf \tilde{p}_\perp})$) consisting of multiple scattering effects are solved by the self consistent iterations method and also by the variational method for the variable set \{$p_0,q_0,Q^2$\}, considering the bremsstrahlung and the $\bf aws$ processes. We define four new dynamical scaling variables, $x^b_T$,$x^a_T$,$x^b_L$,$x^a_L$ for bremsstrahlung and {\bf aws} processes and analyse the transverse and longitudinal components as a function of \{$p_0,q_0,Q^2$\}. We generalize the concept of photon emission function and we define four new emission functions for massive photon emission represented by $g^b_T$, $g^a_T$, $g^b_L$, $g^a_L$. These have been constructed using the exact numerical solutions of the integral equations. These four emission functions have been parameterized by suitable simple empirical fits. In terms of these empirical emission functions, the virtual photon emission from quark gluon plasma reduces to one dimensional integrals that involve folding over the empirical $g^{b,a}_{T,L}$ functions with appropriate quark distribution functions and the kinematic factors. Using this empirical emission functions, we calculated the imaginary part of the photon polarization tensor as a function of photon mass and energy.Comment: In nuclear physics journals and arxiv listings, my name used to appear as S.V.S. Sastry. Hereafter, my name will appear as, S.V. Suryanarayan

Magnetic and magnetocaloric properties of HoCr0.75Fe0.25O3 compound

We report on the magnetic and magnetocaloric properties of HoCr0.75Fe0.25O3 compound around the Néel temperature (TN), which is due to Cr3+ ordering. Susceptability (χ) vs. temperature (T) graph of HoCr0.75Fe0.25O3 compound infer two transitions due to the ordering of Cr3+ moments (TN ~ 155 K) and Ho3+ moments (TNHo ~ 8 K). Magnetic entropy (–ΔSM) value of 1.14 J kg-1 K-1 around 157.5 K with a magnetic field (H) of 90 kOe is attributed to antiferromagnetic (AFM) ordering of Cr3+ moments. A maximum value of adiabatic temperature (ΔTad) ~ 0.41 K around TN is obtained and is found to increases with applied magnetic field. Negative slope for H/M vs. M2 graph is evident for HoCr0.75Fe0.25O3 compound below TN, which indicates the first order phase transition. Quantified values of – ΔSM and ΔTad opens up the way to explore rare earth orthochromites for the MCE properties and refrigeration applications

Photo-elastic effect in crystals: a new result for the T<SUB>h</SUB> class

This article does not have an abstract

A note on the even, odd and half-overtones in piezo-electric crystal plates

This article does not have an abstract

Supersymmetric Electromagnetic Waves on Giants and Dual-Giants

We set up the BPS equations for a D3-brane moving in AdS_5 \times S^5 which preserves two supercharges and with all bosonic fields turned on in the world-volume theory. By solving these, we find generalizations of Mikhailov giants and wobbling dual-giants that include electromagnetic waves propagating on their world-volume. For these giants (dual-giants) we show that the BPS field strength is the real part of the pull-back of a holomorphic 2-form in the ambient space C^3 (C^{1,2}) onto the world-volume.Comment: 18 page

Counting 1/8-BPS Dual-Giants

We count 1/8-BPS states in type IIB string theory on AdS_5 x S^5 background which carry three independent angular momenta on S^5. These states can be counted by considering configurations of multiple dual-giant gravitons up to N in number which share at least four supersymmetries. We map this counting problem to that of counting the energy eigen states of a system of N bosons in a 3-dimensional harmonic oscillator. We also count 1/8-BPS states with two independent non-zero spins in AdS_5 and one non-zero angular momentum on S^5 by considering configurations of arbitrary number of giant gravitons that share at least four supersymmetries.Comment: 19 page

Impulse Buying in the Digital Age: A Dimensional Study on Influencer Marketing Impact on Millennials

This study explores the relationship between influencer characteristics, consumer emotions, and self-construction in the context of impulse buying among millennials in the digital age. It examines how specific traits and qualities of influencers influence millennials' emotions and shape their self-identity during the process of impulse buying. The research investigates the dimensions of influencer marketing that have the most significant impact on millennials' emotional responses and their construction of self-image. By analysing the interplay between influencer characteristics, consumer emotions, and self-construction, this study provides valuable insights into the underlying mechanisms driving impulse buying behavior among millennials in the digital era. The results provide new insight into the power of influencers to sway customer behavior and suggest ways in which businesses may more successfully employ influencer marketing to connect with and convert young buyers

Effect of integrated nutrient management on dry herbage yield, nutrient uptake and profitability of French Basil (Ocimum basilicum L.)

Field experiments were conducted at ICAR - Indian Institute of Horticultural Research, Bengaluru during Kharif season of 2015 and 2016 with nine treatments and three replications in a randomized block design to find out the effect of integrated nutrient management on dry herbage yield, nutrient uptake and economics of sweet basil (Ocimum basilicum). The results revealed that the conjunctive use of inorganic fertilizer along with FYM increased the dry herbage yield and nutrient uptake of sweet basil. Application of recommended FYM (10 t/ha) along with recommended NPK (160:80:80 kg/ha) registered the highest dry herbage yield (8.43 and 3.76 t ha- 1) in the main crop and ratoon, respectively and maximum uptake of nutrient in the main crop as N (155.67 and 113.19 kg/ha), P (43.80 and 32.43 kg/ha) and K (163.33 and 116.16 kg/ha) and in ratoon (56.43 and 26.65 kg ha-1), (16.14 and 14.01 kg ha-1) and (55.65 and 39.27 kg ha-1) in 2015 and 2016 respectively. Highest B: C ratio (5.49) was obtained with application of full dose of recommended NPK fertilizer during 2015. While in 2016, the maximum B: C ratio (3.71) was recorded with application of recommended dose of NPK (160:80:80 kg/ha) + FYM (10 t/ha)

Asymptotics for numbers of line segments and lines in a square grid

We present an asymptotic formula for the number of line segments connecting q+1 points of an nxn square grid, and a sharper formula, assuming the Riemann hypothesis. We also present asymptotic formulas for the number of lines through at least q points and, respectively, through exactly q points of the grid. The well-known case q=2 is so generalized