scholarly journals Bounds for the Centre-of-mass-corrected Energy-weighted Sum Rules for Nuclear Form Factors and Multipole Moments

1979 ◽  
Vol 32 (5) ◽  
pp. 427 ◽  
Author(s):  
WK Koo ◽  
LJ Tassie
Keyword(s):  
Angular Momentum ◽  
Sum Rules ◽  
Form Factors ◽  
Light Nuclei ◽  
Mass Motion ◽  
Large Momentum ◽  
Weighted Sum ◽  
Centre Of Mass ◽  
Multipole Moments ◽  
Simple Bounds

Energy-weighted angular-momentum-projected sum rules for form factors and multipole moments of arbitrary states are corrected for centre-of-mass motion. Cumbersome expressions are obtained for the general case, but comparatively simple bounds have been obtained for particular cases. The results show that the corrections can only be important for light nuclei or at large momentum transfers.

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

Centre of mass motion and the Mott transition in light nuclei

2015 ◽  
Vol 42 (5) ◽  
pp. 055111 ◽  
Author(s):  
Arij Abdul-Rahman ◽  
Mahmoud Alstaty ◽  
H R Jaqaman
Keyword(s):  
Mott Transition ◽  
Light Nuclei ◽  
Mass Motion ◽  
Centre Of Mass

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.

Transverse charge and magnetization densities based on Regge parameterization

2015 ◽  
Vol 24 (11) ◽  
pp. 1550086 ◽  
Author(s):  
Negin Sattary Nikkhoo ◽  
Mohammad Reza Shojaei
Keyword(s):  
Sum Rules ◽  
Form Factors ◽  
Transverse Plane ◽  
Large Momentum ◽  
Electromagnetic Form Factors ◽  
Parton Distributions ◽  
Generalized Parton Distributions ◽  
Transfer Region ◽  
Quark Charge ◽  
Elastic Form

In this paper, we discuss the charge and magnetization densities for proton and neutron in the transverse plane, whereas there are links between the generalized parton distributions (GPDs) and elastic form factors by means of sum rules. We use the extended Regge parameterization for large momentum transfer region for calculating Dirac and Pauli form factors which have been described in the electromagnetic form factors data, so we want to calculate the charge and magnetization densities for proton and neutron in the transverse plane and we also calculate [Formula: see text] and [Formula: see text] quark charge and magnetization densities. The extracted results are compared with other previous parameterizations.

scholarly journals Light-cone sum rules for proton decay

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Ulrich Haisch ◽  
Amando Hala
Keyword(s):  
Lattice Qcd ◽  
Light Cone ◽  
Sum Rules ◽  
State Of The Art ◽  
Form Factors ◽  
Baryon Number ◽  
Proton Decay ◽  
Matrix Elements ◽  
Decay Channels ◽  
Systematic Uncertainties

Abstract We estimate the form factors that parametrise the hadronic matrix elements of proton-to-pion transitions with the help of light-cone sum rules. These form factors are relevant for semi-leptonic proton decay channels induced by baryon-number violating dimension-six operators, as typically studied in the context of grand unified theories. We calculate the form factors in a kinematical regime where the momentum transfer from the proton to the pion is space-like and extrapolate our final results to the regime that is relevant for proton decay. In this way, we obtain estimates for the form factors that show agreement with the state-of-the-art calculations in lattice QCD, if systematic uncertainties are taken into account. Our work is a first step towards calculating more involved proton decay channels where lattice QCD results are not available at present.

scholarly journals Measurement of the shape of the $$ {B}_s^0\to {D}_s^{\ast -}{\mu}^{+}{\nu}_{\mu } $$ differential decay rate

2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
R. Aaij ◽  
◽  
C. Abellán Beteta ◽  
T. Ackernley ◽  
B. Adeva ◽  
...  
Keyword(s):  
Decay Rate ◽  
Form Factors ◽  
Proton Collision ◽  
Centre Of Mass ◽  
Mass Energy ◽  
Proton Proton ◽  
Lhcb Detector ◽  
Proton Proton Collision ◽  
Integrated Luminosity

Abstract The shape of the $$ {B}_s^0\to {D}_s^{\ast -}{\mu}^{+}{\nu}_{\mu } $$ B s 0 → D s ∗ − μ + ν μ differential decay rate is obtained as a function of the hadron recoil parameter using proton-proton collision data at a centre-of-mass energy of 13 TeV, corresponding to an integrated luminosity of 1.7 fb−1 collected by the LHCb detector. The $$ {B}_s^0\to {D}_s^{\ast -}{\mu}^{+}{\nu}_{\mu } $$ B s 0 → D s ∗ − μ + ν μ decay is reconstructed through the decays $$ {D}_s^{\ast -}\to {D}_s^{-}\gamma $$ D s ∗ − → D s − γ and $$ {D}_s^{-}\to {K}^{-}{K}^{+}{\pi}^{-} $$ D s − → K − K + π − . The differential decay rate is fitted with the Caprini-Lellouch-Neubert (CLN) and Boyd-Grinstein-Lebed (BGL) parametrisations of the form factors, and the relevant quantities for both are extracted.

scholarly journals The Radiative Δ(1600) → γN Decay in the Light-Cone QCD Sum Rules

Universe ◽  
2021 ◽  
Vol 7 (8) ◽  
pp. 255
Author(s):  
Haifa I. Alrebdi ◽  
Thabit Barakat
Keyword(s):  
Decay Rate ◽  
Light Cone ◽  
Magnetic Dipole Moment ◽  
Sum Rules ◽  
Electric Quadrupole ◽  
The Other ◽  
Electric Quadrupole Moment ◽  
Multipole Moments ◽  
Qcd Sum Rules ◽  
Strongly Agree

Within the framework of the light-cone QCD sum rules method (LCSR’s), the radiative Δ(1600)→γN decay is studied. In particular, the magnetic dipole moment GM1(0) and the electric quadrupole moment GE1(0) are estimated. We also calculate the ratio REM=−GE1(0)GM1(0) and the decay rate. The predicted multipole moments and the decay rate strongly agree with the existing experimental results as well as with the other available phenomenological approaches.

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