Many-Body Fermions and Riemann Hypothesis

We study the algebraic structure of the eigenvalues of a Hamiltonian that corresponds to a many-body fermionic system. As the Hamiltonian is quadratic in fermion creation and/or annihilation operators, the system is exactly integrable and the complete single fermion excitation energy spectrum is constructed using the non-interacting fermions that are eigenstates of the quadratic matrix related to the system Hamiltonian. Connection to the Riemann Hypothesis is discussed.

Coupling of a j = 3/2 nucleon to an even–even core with Davidson potential

The properties of odd nuclei have been investigated within the collective model by assuming the system is composed of a single nucleon in the [Formula: see text] single particle orbit coupled to a [Formula: see text]-unstable even-core. The Davidson potential has been used in the corresponding Bohr Hamiltonian for the even core. The excitation energy spectrum and the electric quadrupole transition ratios have been obtained. The results have been used to predict the experimental data of the some selected odd isotopes.

THE STUDY OF α + 14C CLUSTER STATES OF 18O THROUGH THE RESONANT BREAKUP REACTION 12C(18O, 14Cα) AT E(18O) = 94.5 MeV

In this work, we study the alpha cluster structure of 18 O using resonant particle spectroscopy technique. Resonance breakup reaction of the projectile is studied experimentally to extract the excitation energy spectrum of the 18 O nucleus. The observed resonant states in the present work are 15.62, 15.82 (5-), 16.02, 16.22, 16.42, 16.92, 17.22, and 17.82 MeV.