2020/04/19 by Khan, Salman Ahamad, Patra, Binoy Krishna, Hasan, Mujeeb
#FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Nuclear Theory (nucl-th) #Soft Condensed Matter (cond-mat.soft) #Strongly Correlated Electrons (cond-mat.str-el)
paper · doi:10.48550/arxiv.2004.08868
We have investigated how a strong magnetic field (B) could decipher the anisotropic interaction in heavy quark (Q) and antiquark ( Q) bound states through the perturbative thermal QCD in real-time formalism. So we thermalize Schwinger propagator for quarks in LLL and the Feynman propagator for gluons to calculate the gluon self-energy. For the quark-loop contribution to the self-energy, the medium does not have any temperature correction and the vacuum term gives rise an anisotropic term whereas the gluon-loop yields temperature correction. This finding in quark-loop contribution corroborates the equivalence of a massless QED in (1+1)-dimension with the massless thermal QCD in strong B, which (quark sector) is reduced to (1+1)-dimension (longitudinal). Thus the permittivity of the medium behaves like as a tensor. Thus the permittivity of medium makes the Q Q potential anisotropic, which resembles with a contemporary results found in lattice studies. As a result, potential for Q Q-pairs aligned transverse to B is more attractive than parallel alignment. However, potential is always more attractive compared to B=0 due to softening of screening mass. However, the imaginary-part of potential becomes smaller compared to B=0. We have next investigated the effects of strong \bf B on binding energies (B.E.) and thermal widths (Γ) of ground states of c c and b b in a time-independent perturbation theory, where binding energies gets increased and widths gets decreased, compared to B =0. Finally we have studied the quasi-free dissociation of bound states in a strong B. The dissociation temperatures estimated for J/ψ and Υ states are obtained as 1.59 \rmTc and 2.22 \rmTc, respectively, which are higher than the estimate in B=0 , thus preventing early dissolution of Q Q bound states.