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 Studying the Bound State of the BK¯ System in the Bethe-Salpeter Formalism

2019 ◽  
Vol 2019 ◽  
pp. 1-6 ◽  
Author(s):  
Zhen-Yang Wang ◽  
Jing-Juan Qi ◽  
Xin-Heng Guo
Keyword(s):  
Form Factor ◽  
Form Factors ◽  
Bound State ◽  
Equation Approach ◽  
Dipole Form Factor ◽  
Instantaneous Approximation ◽  
Particle Exchange ◽  
Dipole Form

In this work, we study the BK¯ molecule in the Bethe-Salpeter (BS) equation approach. With the kernel containing one-particle-exchange diagrams and introducing two different form factors (monopole form factor and dipole form factor) in the vertex, we solve the BS equation numerically in the covariant instantaneous approximation. We investigate the isoscalar and isovector BK¯ systems, and we find that X5568 cannot be a BK¯ molecule.

A combination of hadronic form factors for modeling the kaon photoproduction process γp → K+Λ

2015 ◽  
Vol 24 (02) ◽  
pp. 1550008 ◽  
Author(s):  
L. Syukurilla ◽  
T. Mart
Keyword(s):  
Experimental Data ◽  
Form Factor ◽  
Differential Cross Section ◽  
Cross Section ◽  
Form Factors ◽  
Coupling Constants ◽  
Dipole Form Factor ◽  
Photoproduction Process ◽  
Different Types ◽  
Dipole Form

We have phenomenologically investigated the kaon photoproduction process γp → K+Λ by combining different types of hadronic form factors (HFFs) inside a covariant isobar model. We obtained the best model with the smallest χ2/N by using the dipole form factor in the Born terms and a combination of the dipole, Gaussian, as well as generalized dipole form factors in the hadronic vertices of the nucleon, kaon and hyperon resonances. By utilizing this model we found that the experimental data used in the analysis are internally consistent, whereas the behavior of differential cross-section at forward angles is not significantly affected by the variation of hadronic coupling constants (CCs) and form factor cutoffs in the model.

scholarly journals PION FORM FACTORS AT INTERMEDIATE MOMENTUM TRANSFER IN A COVARIANT APPROACH

1996 ◽  
Vol 11 (04) ◽  
pp. 655-675 ◽  
Author(s):  
ADAM SZCZEPANIAK ◽  
ANTHONY G. WILLIAMS
Keyword(s):  
Wave Function ◽  
Form Factor ◽  
Momentum Transfer ◽  
Transition Form Factor ◽  
Form Factors ◽  
Transition Form ◽  
Gauge Invariant ◽  
Pion Wave Function ◽  
Covariant Gauge ◽  
Text Component

We study the pion electromagnetic and γ*+π0→γ transition form factors at intermediate momentum transfer. We calculate soft, nonperturbative corrections to the leading perturbative amplitudes which arise from the [Formula: see text] component of the pion wave function. We work in Minkowski space and use a Lorentz-covariant, gauge-invariant generalized perturbative integral representation for the [Formula: see text] amplitudes. For the transition form factor we find relative insensitivity to the detailed nonperturbative structure of the wave function for |q2|≳10 GeV 2, whereas considerable sensitivity is found for the electromagnetic form factor.

scholarly journals The influence of the nuclear surface diffuseness on the transition charge densities.

2019 ◽  
Vol 3 ◽  
pp. 104
Author(s):  
T. S. Kosmas ◽  
J. D. Vergados
Keyword(s):  
Sum Rules ◽  
Form Factors ◽  
Scattering Data ◽  
Nuclear Surface ◽  
Weighted Sum ◽  
Transition Form ◽  
Charge Densities ◽  
Nuclear Ground State ◽  
Surface Diffuseness ◽  
Model Approach

Proton partial occupancies of the nuclear surface orbits are used in a modified shell model approach to study isoscalar dipole transition charge densities and form factors for self-conjugate nuclei. The energy-weighted sum-rules of Harakeh-Dieperink for both the transition form factor and transition charge density are modified so as fractional occupation probabilities of the states may be used. The partial occupancies of the surface n/j-levels are determined by fitting to the experimental inelastic scattering data and compared with those found previously in the study of nuclear ground state properties

scholarly journals ELECTROMAGNETIC FORM-FACTOR OF THE π MESON WITH LIGHT-CONE QCD SUM RULES

2008 ◽  
Vol 23 (27n28) ◽  
pp. 4621-4636 ◽  
Author(s):  
ZHI-GANG WANG ◽  
ZHI-BIN WANG
Keyword(s):  
Experimental Data ◽  
Form Factor ◽  
Momentum Transfer ◽  
Electromagnetic Form Factor ◽  
Light Cone ◽  
Sum Rules ◽  
Large Momentum ◽  
Normalization Condition ◽  
Qcd Sum Rules ◽  
Zero Momentum

In this paper, we calculate the electromagnetic form-factor of the π meson with the light-cone QCD sum rules. The numerical value [Formula: see text] is in excellent agreement with the experimental data (extrapolated to the limit of zero momentum transfer or the normalization condition Fπ(0) = 1). For large momentum transfers, the values from the two sum rules are all comparable with the experimental data and theoretical estimations.

scholarly journals The electric dipole form factor of the nucleon

2005 ◽  
Vol 605 (3-4) ◽  
pp. 273-278 ◽  
Author(s):  
W.H. Hockings ◽  
U. van Kolck
Keyword(s):  
Form Factor ◽  
Electric Dipole ◽  
Dipole Form Factor ◽  
Dipole Form

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.

Proton dipole form factor quark model

1996 ◽  
Vol 35 (12) ◽  
pp. 2443-2454 ◽  
Author(s):  
George L. Strobel
Keyword(s):  
Form Factor ◽  
Quark Model ◽  
Dipole Form Factor ◽  
Dipole Form

scholarly journals PHASE OF THE COULOMB AMPLITUDE IN THE SECOND BORN APPROXIMATION

1996 ◽  
Vol 11 (28) ◽  
pp. 2317-2323 ◽  
Author(s):  
O.V. SELYUGIN
Keyword(s):  
Form Factor ◽  
Born Approximation ◽  
Coulomb Phase ◽  
Dipole Form Factor ◽  
Total Phase ◽  
Hadron Form Factor ◽  
Coulomb Amplitude ◽  
Transfer Momentum ◽  
Dipole Form

The method of calculating the Coulomb phase in the second Born order with allowance for the hadron form factor is presented. The phase of the modified Coulomb amplitude can be calculated exactly by taking account of the form factor of hadrons. The phase with the dipole form factor is estimated; as a result, the behavior of the total phase of the Coulomb-hadron interference changes as a function of the transfer momentum.

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