We consider K − nucleon elastic and inelastic scattering in isospin symmetric nuclear matter. It is found that the proper description of the Λ(1405) resonance structure in nuclear matter requires a self-consistent approach. Then the Λ(1405) resonance mass remains basically unchanged, however, the resonance acquires an increased decay width as nuclear matter is compressed. The elastic and inelas...

inthis paper, the main aim is to introduce the class $mathcal{u}_p(lambda,alpha,beta,k_0)$ of $p$-harmonic mappings togetherwith its subclasses $mathcal{u}_p(lambda,alpha,beta,k_0)capmathcal {t}_p$ and $mathcal{u}_p(lambda,alpha,beta,k_0)capmathcal {t}_p^0$, andinvestigate the properties of the mappings in these classes. first,we give a sufficient condition for mappings to be in $mathcal{u}_p(l...

We have found theoretically that the elementary process, p + p → K + Λ(1405) + p, which occurs in a short impact parameter (∼ 0.2 fm) and with a large momentum transfer (Q ∼ 1.6 GeV/c), leads to unusually large self-trapping of Λ(1405)(≡ Λ) by the projectile proton, when a Λ − p system exists as a dense bound state (size ∼ 1.0 fm) propagating to Kpp. The seed, called “Λp doorway”, is expected t...

‎In this paper‎, ‎we study a class of boundary value problem‎ ‎involving the p-Laplacian oprator and singular nonlinearities‎. ‎We‎ ‎analyze the existence a critical parameter $lambda^{ast}$ such‎ ‎that the problem has least one solution for‎ ‎$lambdain(0,lambda^{ast})$ and no solution for‎ ‎$lambda>lambda^{ast}.$ We find lower bounds of critical‎ ‎parameter $lambda^{ast}$‎. ‎We use the method ...

We consider K − nucleon elastic and inelastic scattering in isospin symmetric nuclear matter. It is found that the proper description of the Λ(1405) resonance structure in nuclear matter requires a self-consistent approach. Then the Λ(1405) resonance mass remains basically unchanged, however, the resonance acquires an increased decay width as nuclear matter is compressed. The elastic and inelas...