Modern Physics Letters A

Construction of future Muon Collider (or dedicated $\mu$-ring) tangential to the energy frontier $hh$ colliders will give opportunity to realize $\mu p$ and $\mu A$ collisions at multi-TeV center-of-mass energies with sufficiently high luminosities. Obviously, such colliders will essentially enlarge the physics search potential of corresponding muon and hadron colliders for both the SM (especially for clarifying QCD basics and confinement hypothesis) and BSM phenomena. In addition, they will provide parton distribution functions for adequate interpretation of energy frontier $hh$ colliders’ and cosmic ray experiments data. This paper is devoted to review of main parameters of $\mu h$ colliders proposed until now.

We propose to investigate the effects of new physics in the semi-leptonic sequential decay ${\mathrm{\Lambda }}_b\to {\mathrm{\Lambda }}_c(\to \mathrm{\Lambda }\pi )\tau {\bar{\nu }}_{\tau }$. First, we write the general, model-independent, non-covariant expression of the differential decay width of the process. Then, we calculate that observable according to three different types of new physics interactions, which might explain the tension of data with the Standard Model predictions. We find that some coefficients of the differential decay width are sensitive to the kind of interaction that is assumed. The measurements that we suggest seem to be feasible.

The complete Glauber calculation of the differential cross-sections of ${}^{12}\mathrm{\text{C}}$–${}^{12}\mathrm{\text{C}}$ and halo nuclei on ${}^{12}\mathrm{\text{C}}$ scattering was performed using the previously proposed in Y. M. Shabelski and A. G. Shuvaev [Phys. Rev. C 104, 064607 (2021); Mod. Phys. Lett. A 37, 2250081 (2022)] method of generating function. The results are different as compared with the similar calculations in the optical model and the rigid target approximation. The halo nuclei radii extracted from the scattering data via the complete Glauber analysis come out to be larger than those obtained in the approximate approaches.

We pursue our study of generalized Kac–Moody and Virasoro algebras defined on compact homogeneous manifolds. Extending the well-known vertex operator in the case of the two-torus or the two-sphere, we obtain explicit bosonic realizations of the semi-direct product of the extension of Kac–Moody and Virasoro algebras on ${𝕊}^1\times {𝕊}^1$ and ${𝕊}^2$, respectively. As for the fermionic realization previously constructed, in order to have well defined algebras, we introduce, beyond the usual normal ordering prescription, a regulator and regularize infinite sums by means of the Riemann $\zeta$-function.

In earlier work, the evolution operator for the exact RG equation was mapped to a field theory in Euclidean AdS. This gives a simple way of understanding AdS/CFT. We explore aspects of this map by studying a simple example of a Schrödinger equation for a free particle with time-dependent mass. This is an analytic continuation of an ERG like equation. We show for instance that it can be mapped to a harmonic oscillator. We show that the same techniques can lead to an understanding of dS/CFT too.

In the background of homogeneous Kantowski–Sachs (KS) space-time geometry, the anisotropic Skyrme fluid with zero heat flux has been considered in the framework of Einstein gravity. The homothetic group of the physical space is determined and the generation of the Noether point symmetry is discussed. Further, the Wheeler–DeWitt equation is constructed for studying quantum cosmology of the system and the wave function of the Universe is evaluated using the conserved Noether charge. The present model shows a bouncing nature of evolution that is a singularity free model.

This paper derives the most general form of the relativistic Doppler effect and of the relativistic aberration starting from base principles available in classical electrodynamics and from the Lorentz transforms of the energy-momentum. We derive the relativistic Doppler and the relativistic aberration formulas for the case of both source and receiver moving in arbitrary directions with respect to an inertial reference frame as viewed from either a uniformly rotating or a uniformly accelerated frame.

Wigner distributions play a significant role in formulating the phase–space analog of quantum mechanics. The Schrödinger wave functional for solitons is needed to derive it for solitons. The Wigner distribution derived can further be used for calculating the charge distributions, current densities and wave function amplitude in position or momentum space. It can be also used to calculate the upper bound of the quantum speed limit time. We derive and analyze the Wigner distributions for Kink and Sine-Gordon solitons by evaluating the Schrödinger wave functional for both solitons. The charge, current density, and quantum speed limit for solitons are also discussed which we obtain from the derived analytical expression of Wigner distributions.

With the development of lab technology, the low-order correlation function can no longer describe the main effect of decoherence in the quantum many-body system, so it is imperative to study the higher-order correlation function of the system. In this paper, the higher-order correlation function is discussed analytically in the 1D transverse Ising model, and it is searched when the third-order or higher correlation functions play a key role in the decoherence effect. Under the cases of strong coupling and long coherence time, it is indicated that the effect of high-order correlation functions cannot be ignored, and the approximation of the classical Markov process is limited. But the low-order correlation function can describe well in the case of weak coupling and short coherence time.