scholarly journals Many-Body Fermions and Riemann Hypothesis

2020 ◽  
Author(s):  
Xindong Wang ◽  
Alex Shulman
Keyword(s):  
Energy Spectrum ◽  
Excitation Energy ◽  
Algebraic Structure ◽  
Riemann Hypothesis ◽  
Many Body ◽  
Fermionic System ◽  
Excitation Energy Spectrum ◽  
Quadratic Matrix

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.

Excitation energy spectrum in helium II

1979 ◽  
Vol 20 (9) ◽  
pp. 3709-3711 ◽  
Author(s):  
P. Lu ◽  
C. K. Chan
Keyword(s):  
Energy Spectrum ◽  
Excitation Energy ◽  
Helium Ii ◽  
Excitation Energy Spectrum

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

2018 ◽  
Vol 27 (10) ◽  
pp. 1850085 ◽  
Author(s):  
I. Inci ◽  
H. Sonkaya
Keyword(s):  
Experimental Data ◽  
Energy Spectrum ◽  
Excitation Energy ◽  
Single Particle ◽  
Electric Quadrupole ◽  
Quadrupole Transition ◽  
Excitation Energy Spectrum ◽  
Electric Quadrupole Transition ◽  
Particle Orbit ◽  
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

2009 ◽  
Vol 18 (09) ◽  
pp. 1917-1928 ◽  
Author(s):  
S. ADHIKARI ◽  
C. BASU ◽  
B. R. BEHERA ◽  
S. RAY ◽  
A. K. MITRA ◽  
...  
Keyword(s):  
Energy Spectrum ◽  
Excitation Energy ◽  
Cluster Structure ◽  
Breakup Reaction ◽  
Spectroscopy Technique ◽  
Cluster States ◽  
Excitation Energy Spectrum ◽  
Resonant States ◽  
Alpha Cluster

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.

Shape coexistence in $^{76}$Se within the neutron-proton interacting boson model

2021 ◽  
Author(s):  
Chengfu Mu ◽  
Dali Zhang
Keyword(s):  
Experimental Data ◽  
Energy Spectrum ◽  
Excitation Energy ◽  
Energy Levels ◽  
Spherical Shape ◽  
Interacting Boson Model ◽  
Shape Coexistence ◽  
Electromagnetic Transition ◽  
Boson Model ◽  
Good Agreement

Abstract We have investigated the low-lying energy spectrum and electromagnetic transition strengths in even-even $^{76}$Se using the proton-neutron interacting boson model (IBM-2). The theoretical calculation for the energy levels and $E2$ and $M1$ transition strengths is in good agreement with the experimental data. Especially, the excitation energy and $E2$ transition of $0^+_2$ state, which is intimately associated with shape coexistence, can be well reproduced. The analysis on low-lying states and some key structure indicators indicates that there is a coexistence between spherical shape and $\gamma$-soft shape in $^{76}$Se.

Sign in / Sign up

Export Citation Format

Share Document