scholarly journals Manifestations of isospin in nearest neighbor spacing distributions for the f-p model space

2017 ◽  
Vol 26 (10) ◽  
pp. 1750060
Author(s):  
Michael Quinonez ◽  
Arun Kingan ◽  
Larry Zamick
Keyword(s):  
Energy Level ◽  
Quantum Number ◽  
Nearest Neighbor ◽  
Model Space ◽  
Strong Interactions ◽  
Good Quantum Number ◽  
Text Model

The strong interactions are charge independent. If we limit ourselves to the strong interactions, we have the isospin [Formula: see text] as a good quantum number. Here, we consider the lack of level repulsion of states of different isospin and how this effect manifests in nearest neighbor spacing (NNS) histograms, which provide a visual and statistical context in which to study distributions of energy level spacings. In particular, we study nucleons in the [Formula: see text] model space for the nucleus [Formula: see text]. We also compare NNS distributions produced in the isospin formalism to distributions produced in the proton–neutron formalism.

Energy Level Width of 2DEG in Different Well in Mesoscopic System

2013 ◽  
Vol 706-708 ◽  
pp. 395-398
Author(s):  
Gang Xu ◽  
Ye Lu He
Keyword(s):  
Quantum Mechanics ◽  
Energy Level ◽  
Quantum Number ◽  
Field Intensity ◽  
Uncertainty Relation ◽  
Electron Gas ◽  
Energy Width ◽  
Level Width ◽  
Classical Particles ◽  
Electronic Field

Applying theories on quasi-classical particles and the uncertainty relation of quantum mechanics, we get the formula of uncertainty and energy level width in triangular well and parabolic well of two dimension electron gas (2DEG).Based on these ,we find energy width will increase along with the increasing of electronic field intensity and quantum number at the same electronic field, the energy width of parabolic well is more narrow than width of triangular well. At the same time, the result of this paper is agreement with the experiment.

scholarly journals Goodness of Generalized Seniority in Even-even Sn Isotopes.

2019 ◽  
Vol 6 (2) ◽  
pp. 147-154
Author(s):  
Bhoomika Maheshwari
Keyword(s):  
Nuclear Structure ◽  
Quantum Number ◽  
Excited States ◽  
High Spin ◽  
Magic Numbers ◽  
Selection Rules ◽  
Good Quantum Number ◽  
Spin Isomers ◽  
Configuration Mixing

Seniority has proved to be a unique and simple probe to address some of the complex issues underlying nuclear structure of nuclei close to magic numbers. An extension from the concept of seniority in single-j shell to generalized seniority in multi-j shell has recently been provided by us. We have, consequently, established new selection rules for gamma decays and discovered the new seniority isomers decaying via odd electric multipole operators. We have successfully explained the B(EL; L=1,2,3) behavior of various high spin isomers and other excited states. More specifically, we have been able to explain the long-standing puzzle of double hump in the B(E2) values for the first excited 2+ states of even-even Z=50 (Sn) isotopes. In the present paper, we review these generalized seniority calculations with emphasis on even-even Sn isotopes. We first discuss the generalized seniority results for the E1 decaying 13- isomers and E2 decaying 10+, 15- isomers, and then present the cases of first-excited 2+ and 3- states. The generalized seniority proves out to be a reasonably good quantum number. The significance of configuration mixing is found to be true. The calculated results has been validated till high seniority v=4 states and expected to be valid for higher seniority v=6,… states also.  

Photoemission Investigation of the Energy Level Alignment at the Rubrene/metal Interface

2007 ◽  
Vol 1029 ◽  
Author(s):  
Huanjun Ding ◽  
Yongli Gao
Keyword(s):  
Electronic Structure ◽  
Energy Level ◽  
Photoemission Spectroscopy ◽  
Strong Interactions ◽  
Metal Interface ◽  
Interface Dipole ◽  
Inverse Photoemission ◽  
Level Shifts ◽  
Lowest Unoccupied Molecular Orbital ◽  
Inverse Photoemission Spectroscopy

AbstractThe electronic structure of the interfaces between rubrene and various metals, including Au, Ag, Al, and Ca, have been investigated with photoemission and inverse photoemission spectroscopy. The formation of the interface dipole is observed at all interfaces. The Fermi level shifts linearly within the band gap as a function of metal workfunction, until it is pinned at the lowest unoccupied molecular orbital (LUMO) by Ca. Strong interactions take place at the interface between rubrene and Ca, evidenced by the evolution of the valence features.

scholarly journals Fragmentation in the ϕ3 theory and the LPHD hypothesis

2016 ◽  
Vol 31 (28n29) ◽  
pp. 1645045 ◽  
Author(s):  
K. Urmossy ◽  
J. Rak
Keyword(s):  
Statistical Model ◽  
Analytic Solution ◽  
Strong Interactions ◽  
Leading Order ◽  
Hypothetical Situation ◽  
Dglap Equation ◽  
Proton Proton ◽  
Electron Positron ◽  
Text Model ◽  
Hadron Duality

We present analytic solution of the Dokshitzer–Gribov–Lipatov–Altarelli–Parisi (DGLAP) equation at leading order (LO) in the [Formula: see text] theory in 6 space-time dimensions. If the [Formula: see text] model was the theory of strong interactions, the obtained solution would describe the distribution of partons in a jet. We point out that the local parton-hadron duality (LPHD) conjecture does not work in this hypothetical situation. That is, treatment of hadronisation of shower partons is essential for the description of hadron distributions in jets stemming from proton-proton (pp) collisions at [Formula: see text] TeV and from electron-positron ([Formula: see text]) annihilations at various collision energies. We use a statistical model for the description of hadronisation.

Tz = ±1 → 0 ISOSPIN SYMMETRY GAMOW-TELLER TRANSITIONS IN pf-SHELL NUCLEI

2010 ◽  
Vol 25 (21n23) ◽  
pp. 2003-2005 ◽  
Author(s):  
Y. FUJITA ◽  
T. ADACHI ◽  
H. FUJITA ◽  
Y. SHIMBARA ◽  
RCNP High Resolution ³He, t collabo ◽  
...  
Keyword(s):  
Quantum Number ◽  
Charge Exchange ◽  
Nuclear Physics ◽  
Isospin Symmetry ◽  
Exchange Reactions ◽  
Good Quantum Number ◽  
Key Issues ◽  
Pf Shell ◽  
Gamow Teller

Studying the Gamow-Teller (GT) transitions of stable as well as unstable pf-shell nuclei is one of the key issues in nuclear and astro-nuclear physics. Under the assumption that isospin T is a good quantum number, symmetry is expected for mirror nuclei and the GT transitions starting from the mirror nuclei. We study the GT transitions starting from Tz = ±1 mirror nuclei, respectively, by means of hadronic (3 He , t) charge-exchange reactions and complementary β decays.

scholarly journals Dipole States in 86Sr, 88Sr and 90Zr

1974 ◽  
Vol 27 (1) ◽  
pp. 21 ◽  
Author(s):  
RP Robertson
Keyword(s):  
Shell Model ◽  
Quantum Number ◽  
Ground State ◽  
Residual Interaction ◽  
Ground State Wavefunction ◽  
Model Method ◽  
Good Quantum Number ◽  
Realistic Force

A shell model method for calculating dipole states in N > Z even nuclei is discussed. By assuming isospin to be a good quantum number, the spectrum resolves into two classes of states differing in isospin. Applications of this model to 88Sr and 90Zr essentially differ from previous calculations by the use of a new realistic force in the residual interaction. Dipole states in 86Sr are also investigated along with the effect of correlating the ground state wavefunction

scholarly journals Relativistic Energy Analysis of Five-Dimensionalq-Deformed Radial Rosen-Morse Potential Combined withq-Deformed Trigonometric Scarf Noncentral Potential Using Asymptotic Iteration Method

2016 ◽  
Vol 2016 ◽  
pp. 1-12 ◽  
Author(s):  
Subur Pramono ◽  
A. Suparmi ◽  
Cari Cari
Keyword(s):  
Wave Function ◽  
Energy Level ◽  
Quantum Number ◽  
Iteration Method ◽  
Morse Potential ◽  
Bound State ◽  
Asymptotic Iteration Method ◽  
Relativistic Energy ◽  
Radial Wave ◽  
Orbital Quantum Number

We study the exact solution of Dirac equation in the hyperspherical coordinate under influence of separableq-deformed quantum potentials. Theq-deformed hyperbolic Rosen-Morse potential is perturbed byq-deformed noncentral trigonometric Scarf potentials, where all of them can be solved by using Asymptotic Iteration Method (AIM). This work is limited to spin symmetry case. The relativistic energy equation and orbital quantum number equationlD-1have been obtained using Asymptotic Iteration Method. The upper radial wave function equations and angular wave function equations are also obtained by using this method. The relativistic energy levels are numerically calculated using Matlab, and the increase of radial quantum numberncauses the increase of bound state relativistic energy level in both dimensionsD=5andD=3. The bound state relativistic energy level decreases with increasing of both deformation parameterqand orbital quantum numbernl.

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