Nuclear transition matrix elements for neutrinoless double-β decay within Rp-violating squark-neutrino mechanism

Within the squark-neutrino mechanism of [Formula: see text]-violating SUSY, sets of 12 nuclear transition matrix elements (NTMEs) are calculated for the neutrinoless double-[Formula: see text] decay [Formula: see text] of [Formula: see text]Zr, [Formula: see text]Mo, [Formula: see text]Pd, [Formula: see text]Te and [Formula: see text]Nd isotopes. Specifically, four sets of HFB wave functions generated with four different parametrizations of the pairing plus multipolar two-body interactions, dipole form factor and three different parametrizations of the Jastrow short-range correlations are employed in the calculation of NTMEs with two possible prescriptions for the hadronization, namely the two-nucleon mode and the pionic mode. Without (with) Miller–Spencer parametrization of short-range correlation, uncertainties in average NTMEs [Formula: see text] (QBM), [Formula: see text] (NRQM), [Formula: see text] (FF3) and [Formula: see text] turn out be 11–18% (29–37%), 11–16% (27–31%), 5–12% (13–17%) and 3–13% (9–15%), respectively.

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

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.

Electromagnetic and axial-vector form factors of the quarks and nucleon

In light of the improved precision of the experimental measurements and enormous theoretical progress, the nucleon form factors have been evaluated with an aim to understand how the static properties and dynamical behavior of nucleons emerge from the theory of strong interactions between quarks. We have analyzed the vector and axial-vector nucleon form factors ([Formula: see text] and [Formula: see text]) using the spin observables in the chiral constituent quark model ([Formula: see text]CQM) which has made a significant contribution to the unraveling of the internal structure of the nucleon in the nonperturbative regime. We have also presented a comprehensive analysis of the flavor decomposition of the form factors ([Formula: see text], [Formula: see text] and [Formula: see text] for [Formula: see text]) within the framework of [Formula: see text]CQM with emphasis on the extraction of the strangeness form factors which are fundamental to determine the spin structure and test the chiral symmetry breaking effects in the nucleon. The [Formula: see text] dependence of the vector and axial-vector form factors of the nucleon has been studied using the conventional dipole form of parametrization. The results are in agreement with the available experimental data.

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

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.

HADRONIC FORM FACTORS IN THE γp→K+Λ PROCESS

We have investigated the effects of different hadronic form factors on the performance of an isobaric model developed for kaon photo-production off the proton. We found that there is no ideal form factor in this case. The dipole and generalized dipole form factors can help to nicely reproduce the differential cross-section and hyperon polarization data. However, in the case of double polarization data Cx and Cz the Gaussian form factor is found to be superior.