Absolute transition probability measurement for the electric quadrupole 5577 Å auroral green line

1969 ◽  
Vol 17 (6) ◽  
pp. 1297-1306 ◽  
Author(s):  
John W. McConkey ◽  
John A. Kernahan
Keyword(s):  
Transition Probability ◽  
Electric Quadrupole ◽  
Green Line ◽  
Absolute Transition ◽  
Absolute Transition Probability ◽  
Probability Measurement

Absolute Transition Probability of the Auroral Green Line

Nature ◽  
1968 ◽  
Vol 220 (5171) ◽  
pp. 1017-1018 ◽  
Author(s):  
J. W. MCCONKEY ◽  
J. A. KERNAHAN
Keyword(s):  
Transition Probability ◽  
Green Line ◽  
Absolute Transition ◽  
Absolute Transition Probability

OBSERVATION OF THE TRANSITION IN O2

1961 ◽  
Vol 39 (8) ◽  
pp. 1110-1119 ◽  
Author(s):  
J. F. Noxon
Keyword(s):  
Emission Spectrum ◽  
High Altitude ◽  
Transition Probability ◽  
Electric Quadrupole ◽  
The Absolute ◽  
Absolute Transition ◽  
Absolute Transition Probability

The Q branch of the (0,0) band of the electric quadrupole [Formula: see text] transition in O2 has been observed at 1.908 μ in the emission spectrum of a discharge through O2 and He. By a comparison with the (0,0) atmospheric O2 band [Formula: see text], the absolute transition probability for the (b–a) system has been found to be 2.5 × 10−3 sec−1, with an uncertainty of a factor of 2. The (0,0) band of the infrared atmospheric [Formula: see text] system of O2 has also been observed in emission. Using the observed intensity of the (0,1) atmospheric O2 band in the aurora and airglow one may predict that the (0,0) (b–a) band should be detectable in a strong aurora if observations are made from high altitude.

scholarly journals A differential equation for the transition probability B(E2)↑ and the resulting recursion relations connecting even–even nuclei

2014 ◽  
Vol 23 (04) ◽  
pp. 1450022 ◽  
Author(s):  
S. Pattnaik ◽  
R. C. Nayak
Keyword(s):  
Differential Equation ◽  
Transition Probability ◽  
Electric Quadrupole ◽  
Energy Relation ◽  
Local Energy ◽  
Many Body ◽  
Recursion Relations ◽  
Many Body Theory ◽  
Electric Quadrupole Transition ◽  
Atomic Nuclei

We obtain here a new relation for the reduced electric quadrupole transition probability B(E2)↑ of a given nucleus in terms of its derivatives with respect to neutron and proton numbers based on a similar local energy relation in the Infinite Nuclear Matter (INM) model of atomic nuclei, which is essentially built on the foundation of the Hugenholtz–Van Hove (HVH) theorem of many-body theory. Obviously, such a relation in the form of a differential equation is expected to be more powerful than the usual algebraic difference equations. Although the relation for B(E2)↑ has been perceived simply on the basis of a corresponding differential equation for the local energy in the INM model, its theoretical foundation otherwise has been clearly demonstrated. We further exploit the differential equation in using the very definitions of the derivatives to obtain two different recursion relations for B(E2)↑, connecting in each case three neighboring even–even nuclei from lower to higher mass numbers and vice versa. We demonstrate their numerical validity using available data throughout the nuclear chart and also explore their possible utility in predicting B(E2)↑ values.

scholarly journals ${\rm B(E2)}\uparrow (0_{1}^{+} \rightarrow 2_{1}^{+})$ predictions for even–even nuclei in the differential equation model

2015 ◽  
Vol 24 (02) ◽  
pp. 1550011 ◽  
Author(s):  
R. C. Nayak ◽  
S. Pattnaik
Keyword(s):  
Differential Equation ◽  
Transition Probability ◽  
Electric Quadrupole ◽  
Equation Model ◽  
Quadrupole Transition ◽  
Differential Equation Model ◽  
Recursion Relations ◽  
Electric Quadrupole Transition ◽  
Wide Range

We use the recently developed differential equation model (DEM) for the reduced electric quadrupole transition probability B(E2)↑ for the transition from the ground to the first 2+ state for predicting its values for a wide range of even–even nuclides almost throughout the nuclear landscape from Neon to Californium. This is made possible as the principal equation in the model, namely, the differential equation connecting the B(E2)↑ value of a given even–even nucleus with its derivatives with respect to the neutron and proton numbers, provides two different recursion relations, each connecting three different neighboring even–even nuclei from lower- to higher-mass numbers and vice versa. These relations are primarily responsible in extrapolating from known to unknown terrain of the B(E2)↑-landscape and thereby facilitate the predictions throughout. As a result, we have succeeded in predicting its hitherto unknown value for the adjacent 251 isotopes lying on either side of the known B(E2)↑ database.

scholarly journals Collective and single-particle degrees of freedom in rotating nuclei

2018 ◽  
Vol 96 (2) ◽  
pp. 158-167
Author(s):  
Anish Verma ◽  
Krzysztof Starosta
Keyword(s):  
Symmetry Breaking ◽  
Single Particle ◽  
Degrees Of Freedom ◽  
Energy State ◽  
Transition Probability ◽  
Electric Quadrupole ◽  
Multipole Expansion ◽  
Nucl Phys ◽  
Axially Symmetric ◽  
The Impact

In 1937, Hermann Jahn and Edward Teller published their research describing a mechanism of symmetry breaking in nonlinear polyatomic molecules resulting in a lifting of orbital degeneracy of an electronic state (Proc. R. Soc. London, Ser. A 1937, 161, 220), yielding insight into molecular structure. The impact of symmetry breaking on the energy and structure of quantum states is not unique to molecules and may be applied to nuclei, involving degenerate nucleon states as opposed to electronic states. Reinhard and Otten showed that the nuclear Jahn–Teller effect provides a mechanism applicable to describe the commonly observed collective quadrupole surface motion (Nucl. Phys. A 1984, 420, 173). To take into account single-particle effects, it is important to properly model the valence nucleons, especially those occupying large angular momenta orbitals near the Fermi level. In this work, a model has been developed in which two valence nucleons of the same kind are coupled to an axially symmetric quadrupole deformed rotor of the D2 symmetry and interact through the nuclear delta force. To test this model, the band of the lowest-energy state at a given spin for 126Ce is reproduced. The resultant wavefunctions are then used to calculate the g factor, reduced electric quadrupole transition probability, and spectroscopic quadrupole moment all as a function of spin. This method lays the groundwork to explore higher order symmetries following the multipole expansion.

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