charge conjugate
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Author(s):  
Francisco Cleiton Lima ◽  
Allan Moreira ◽  
Laura Machado ◽  
CARLOS ALBERTO ALMEIDA

A Majorana fermion is the single fermionic particle that is its own antiparticle. Its dynamics is determined by the Majorana equation, where the spinor field is by definition equal to its charge-conjugate field. In this paper, we investigated Shannon’s entropy of linear Majorana fermions to understand how this quantity is modified due to an external potential of the linear type linear. Subsequently, we turn our attention to the construction of an ensemble of these Majorana particles to study the thermodynamic properties of the model. Finally, we show how Shannon’s entropy and thermodynamic properties are modified under the linear potential action. Keywords: Majorana Fermions; Thermodynamic properties; Shannon’s Entropy.


2020 ◽  
Vol 80 (2) ◽  
Author(s):  
S. Acharya ◽  
◽  
D. Adamová ◽  
S. P. Adhya ◽  
A. Adler ◽  
...  

Abstract The production of the $$\Lambda $$Λ(1520) baryonic resonance has been measured at midrapidity in inelastic pp collisions at $$\sqrt{s} = 7\ \hbox {TeV}$$s=7TeV and in p–Pb collisions at $$\sqrt{s_{\mathrm{NN}}} = 5.02\ \hbox {TeV}$$sNN=5.02TeV for non-single diffractive events and in multiplicity classes. The resonance is reconstructed through its hadronic decay channel $$\Lambda $$Λ(1520) $$\rightarrow \hbox {pK}^{-}$$→pK- and the charge conjugate with the ALICE detector. The integrated yields and mean transverse momenta are calculated from the measured transverse momentum distributions in pp and p–Pb collisions. The mean transverse momenta follow mass ordering as previously observed for other hyperons in the same collision systems. A Blast-Wave function constrained by other light hadrons ($$\pi $$π, K, $$\hbox {K}_{\mathrm{S}}^0$$KS0, p, $$\Lambda $$Λ) describes the shape of the $$\Lambda $$Λ(1520) transverse momentum distribution up to $$3.5\ \hbox {GeV}/c$$3.5GeV/c in p–Pb collisions. In the framework of this model, this observation suggests that the $$\Lambda $$Λ(1520) resonance participates in the same collective radial flow as other light hadrons. The ratio of the yield of $$\Lambda (1520)$$Λ(1520) to the yield of the ground state particle $$\Lambda $$Λ remains constant as a function of charged-particle multiplicity, suggesting that there is no net effect of the hadronic phase in p–Pb collisions on the $$\Lambda $$Λ(1520) yield.


2019 ◽  
Vol 65 (6 Nov-Dec) ◽  
pp. 612
Author(s):  
Valeriy V. Dvoeglazov

An analog of the $S=1/2$ Feynman-Dyson propagator is presented in the framework of the $S=1$ Weinberg's theory.The basis for this construction is the concept of the Weinberg field as a system of four field functions differing by parity and by dual transformations.Next, we analyze the recent controversy in the definitions of the Feynman-Dyson propagator for the field operator containing the $S=1/2$ self/anti-self charge conjugate states in the papers by D. Ahluwalia et al. and by W. Rodrigues Jr. et al. The solution of this mathematical controversy is obvious. It is related to the necessary doubling of the Fock Space (as in the Barut and Ziino works), thus extending the corresponding Clifford Algebra. However, the logical interrelations of different mathematical foundations with the physical interpretations are not so obvious. Physics should choose only one correct formalism- it is not clear, why two correct mathematical formalisms (which are based on the same postulates) lead to different physical results?


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