We investigated the ground state(1S),radially excited states(2S)and(3S),and orbitally excited state(1P)for the heavy charmonia(cc)and bottomonia(bb)mesons in the light-front quark model(LFQM).The light-front wave func...We investigated the ground state(1S),radially excited states(2S)and(3S),and orbitally excited state(1P)for the heavy charmonia(cc)and bottomonia(bb)mesons in the light-front quark model(LFQM).The light-front wave functions have been successful in explaining various physical properties of meson states in the past,especially for the 1S and 2S states.However,the radially excited state 3S and orbitally excited state 1P have rarely been investigated.In this study,we considered these two excited states and investigated the electromagnetic form factors(EMFFs),charge radii,decay constants,parton distribution functions(PDFs),and the distribution amplitudes(DAs)for the quarkonia system.For the sake of completeness,we also studied the ground and the first excited states of quarkonia mesons.We also illustrated the 3D wave functions for the radially excited states to study their nodal structures.展开更多
We indicated in our previous work that for QED the role of the scalar potential which appears at the loop level is much smaller than that of the vector potential and is in fact negligible. But the situation is differe...We indicated in our previous work that for QED the role of the scalar potential which appears at the loop level is much smaller than that of the vector potential and is in fact negligible. But the situation is different for QCD, one reason is that the loop effects are more significant because as is much larger than a, and second the non-perturbative QCD effects may induce a sizable scalar potential. In this work, we study phenomenologically the contribution of the scalar potential to the spectra of charmonia, bottomonia and bC（bc） families. Taking into account both vector and scalar potentials, by fitting the well measured charmonia and bottomonia spectra, we re-fix the relevant parameters and test them by calculating other states of not only the eharmonia and bottomonia families, but also the bc family. We also consider the Lamb shift of the spectra.展开更多
基金Narinder Kumar and Harleen Dahiya would like to acknowledge the research grant received from the Science and Engineering Research Board,Government of India under Teachers Associateship Research Excellence Award(TAR/2021/000157)。
文摘We investigated the ground state(1S),radially excited states(2S)and(3S),and orbitally excited state(1P)for the heavy charmonia(cc)and bottomonia(bb)mesons in the light-front quark model(LFQM).The light-front wave functions have been successful in explaining various physical properties of meson states in the past,especially for the 1S and 2S states.However,the radially excited state 3S and orbitally excited state 1P have rarely been investigated.In this study,we considered these two excited states and investigated the electromagnetic form factors(EMFFs),charge radii,decay constants,parton distribution functions(PDFs),and the distribution amplitudes(DAs)for the quarkonia system.For the sake of completeness,we also studied the ground and the first excited states of quarkonia mesons.We also illustrated the 3D wave functions for the radially excited states to study their nodal structures.
基金Supported by National Natural Science Foundation of China (NSFC) (10775073, 11005079)Special Grant for Ph.D. Program of Ministry of Eduction of P.R. China (20070055037, 20100032120065)
文摘We indicated in our previous work that for QED the role of the scalar potential which appears at the loop level is much smaller than that of the vector potential and is in fact negligible. But the situation is different for QCD, one reason is that the loop effects are more significant because as is much larger than a, and second the non-perturbative QCD effects may induce a sizable scalar potential. In this work, we study phenomenologically the contribution of the scalar potential to the spectra of charmonia, bottomonia and bC（bc） families. Taking into account both vector and scalar potentials, by fitting the well measured charmonia and bottomonia spectra, we re-fix the relevant parameters and test them by calculating other states of not only the eharmonia and bottomonia families, but also the bc family. We also consider the Lamb shift of the spectra.
