scholarly journals Nuclear Sum Rules, Electron Scattering and Giant Resonances

1976 ◽  
Vol 29 (6) ◽  
pp. 375 ◽  
Author(s):  
LJ Tassie
Keyword(s):  
Form Factor ◽  
Electron Scattering ◽  
Nuclear Spin ◽  
Sum Rules ◽  
Transition Density ◽  
Hydrodynamical Model ◽  
Inelastic Electron ◽  
Giant Resonances ◽  
Sum Rule ◽  
Quadrupole Resonance

The isoscalar sum rules of Deal and Fallieros (1973) and generalizations of these sum rules are discussed. The isoscalar form factor and transition density for an arbitrary eigenstate of the nucleus are given as sums over the sum rules and, for a particular choice of the operators in the sum rules, are given by a series of which the first terms are the same as the results of the hydrodynamical model. It is shown that caution is needed in making nuclear spin assignments from inelastic electron scattering. The sum rule of Deal and Fallieros is used to clarify the calculation of Bohr and Mottelson (1975) of the energy of the isosca1.ar giant quadrupole resonance.

Generalized isospin sum rule: an application to magnetic transitions

1984 ◽  
Vol 62 (8) ◽  
pp. 764-770 ◽  
Author(s):  
John A. Montgomery ◽  
Kwang-Bock Yoo ◽  
Herbert Überall ◽  
B. Bosco
Keyword(s):  
Magnetic Dipole ◽  
Electron Scattering ◽  
Sum Rules ◽  
Experimental Results ◽  
Weighted Sum ◽  
Magnetic Transitions ◽  
Sum Rule ◽  
Numerical Predictions ◽  
Magnetic Dipole Transitions ◽  
Special Case

Energy-weighted sum rules with separated isospin contributions for arbitrary operators and multipolarities are developed for photonuclear and electron-scattering transitions. The Kurath sum rule is contained as a special case. Applying the sum rule to magnetic dipole transitions, ensuing numerical predictions for non-self-conjugate nuclei are compared with experimental results.

Total nuclear inelastic electron scattering cross sections compared to sum rule calculations

1983 ◽  
Vol 27 (6) ◽  
pp. 2492-2499 ◽  
Author(s):  
J. S. O'Connell ◽  
E. Hayward ◽  
J. W. Lightbody ◽  
X. K. Maruyama ◽  
P. Bosted ◽  
...  
Keyword(s):  
Electron Scattering ◽  
Cross Sections ◽  
Inelastic Electron ◽  
Sum Rule ◽  
Scattering Cross ◽  
Inelastic Electron Scattering ◽  
Scattering Cross Sections

THE FORM FACTOR OF ργ*→π0IN THE FINITE-WIDTH LIGHT-CONE LOCAL DUALITY SUM RULE

2012 ◽  
Vol 21 (04) ◽  
pp. 1250048
Author(s):  
MINGHAI LI ◽  
JUEPING LIU
Keyword(s):  
Form Factor ◽  
Light Cone ◽  
Asymptotic Form ◽  
Sum Rules ◽  
Absorptive Part ◽  
Finite Width ◽  
Transition Form ◽  
Sum Rule ◽  
Local Duality ◽  
The Difference

The form factor of the transition ργ*→π0is investigated by analyzing the γγ*→π0transition in the framework of the light-cone local duality quantum chromodynamics sum rules. Both finite- and zero-width forms for the low-energy physical absorptive part of the γγ*→π0transition are considered. The numerical results for the transition form factor Fρπ(Q2) in the asymptotic form and the CZ one of the pion distribution amplitude are obtained respectively, the difference between the finite- and zero-width form is not big but still distinguishable. It is found that the results for the form factor Fρπ(Q2) from CZ, asymptotic and the flat pion DAs are compatible with the predictions of perturbative QCD. Our results will be helpful to distinguish the shape of the pion DA of twist-two, when the concrete information of the experimental data for the transition ργ*→π0are provided.

The Widths of the E2 (ΔT = 0 and ΔT = 1) Giant Resonances in 165Ho

1976 ◽  
Vol 31 (6) ◽  
pp. 668-669
Author(s):  
G. L. Moore ◽  
F. R. Buskirk ◽  
E. B. Dally ◽  
J. N. Dyer ◽  
X. K. Maruyama ◽  
...  
Keyword(s):  
Electron Scattering ◽  
Giant Resonance ◽  
Inelastic Electron ◽  
Giant Resonances ◽  
Inelastic Electron Scattering ◽  
Spherical Nuclei ◽  
First Time

Inelastic electron scattering confirms broadening of the isoscalar (ΔT=0) E2 giant resonance in 165Ho as compared to spherical nuclei. Discrepancies in magnitude between results of other experiments are reconciled. The isovector (ΔT=1) E2 giant resonance is, for the first time, observed to be split into at least two parts

Inelastic electron scattering form factor of orbital magnetic dipole excitations in 164Dy

1987 ◽  
Vol 195 (3) ◽  
pp. 326-330 ◽  
Author(s):  
D. Bohle ◽  
G. Kilgus ◽  
A. Richter ◽  
C.W. de Jager ◽  
H. de Vries
Keyword(s):  
Form Factor ◽  
Magnetic Dipole ◽  
Electron Scattering ◽  
Inelastic Electron ◽  
Inelastic Electron Scattering

scholarly journals Form factor π0γ*γ in lightcone sum rules combined with renormalization-group summation vs experimental data.

2019 ◽  
Vol 222 ◽  
pp. 03017 ◽  
Author(s):  
C. Ayala ◽  
S. V. Mikhailov ◽  
A. V. Pimikov ◽  
N. G. Stefanis
Keyword(s):  
Experimental Data ◽  
Perturbation Theory ◽  
Renormalization Group ◽  
Form Factor ◽  
Transition Form Factor ◽  
Sum Rules ◽  
Transition Form ◽  
Analytic Perturbation Theory ◽  
Sum Rule ◽  
Fixed Order

We consider the lightcone sum-rule (LCSR) description of the pionphoton transition form factor in combination with the renormalization group of QCD. The emerging scheme represents a certain version of Fractional Analytic Perturbation Theory and significantly extends the applicability domain of perturbation theory towards lower momenta Q2 ≲ 1 GeV2. We show that the predictions calculated herewith agree very well with the released preliminary data of the BESIII experiment, which have very small errors just in this region, while the agreement with other data at higher Q2 is compatible with the LCSR predictions obtained recently by one of us using fixed-order perturbation theory.

scholarly journals Properties of the Inelastic Form Factors of the Nucleus

1978 ◽  
Vol 31 (1) ◽  
pp. 9 ◽  
Author(s):  
WK Koo ◽  
LJ Tassie
Keyword(s):  
Form Factor ◽  
Momentum Transfer ◽  
Inversion Formula ◽  
Sum Rules ◽  
Form Factors ◽  
Identity Operator ◽  
Weighted Sum ◽  
Giant Resonances ◽  
Dipole Form Factor ◽  
Dipole Form

Based on an inversion formula for the energy-weighted sum rules, a study is made of the properties of the inelastic form factors of the nucleus. The inversion formula is derived by using a simple representation of the identity operator for a restricted set of non-orthogonal states and it is applicable to both isoscalar and isovector transitions. As a result, it is shown that the longitudinal form factor for a particular multipolarity cannot be explicitly factorized into a product of a function of momentum transfer and a function of excitation energy over the entire range of momentum transfer. Further, the ambiguity arising out of the use of the hydrodynamical model to assign spins of giant resonances is illustrated, taking the isovector electric dipole form factor as an example.

scholarly journals PION FORM FACTOR IN QCD SUM RULES WITH NONLOCAL CONDENSATES AND IN THE LOCAL-DUALITY APPROACH

2009 ◽  
Vol 24 (35n37) ◽  
pp. 2848-2857 ◽  
Author(s):  
A. P. BAKULEV ◽  
A. V. PIMIKOV ◽  
N. G. STEFANIS
Keyword(s):  
Form Factor ◽  
Sum Rules ◽  
Pion Form Factor ◽  
Analytic Perturbation Theory ◽  
Continuum Threshold ◽  
Sum Rule ◽  
Local Duality ◽  
Rule Approach ◽  
Duality Approach ◽  
The Continuum

We discuss the QCD sum-rule approach for the spacelike electromagnetic pion form factor in the O(αs) approximation. We show that the nonlocality of the condensates is a key point to include nonperturbative contributions to the pion form factor. We compare our results with the Local-Duality predictions and show that the continuum threshold s0(Q2) parameter is highly underestimated in the Local-Duality approach at Q2 ≳ 2 GeV 2. Using our fit for this parameter, [Formula: see text] and applying the fractional analytic perturbation theory, we estimate with an accuracy of the order of 1% the [Formula: see text] contribution to the pion's form factor.

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