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Magnetized pole-mass of neutral rho meson within full RPA evaluation

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Author(s):
Avancini, Sidney S. ; Farias, Ricardo L. S. ; Tavares, William R. ; Timoteo, Varese S.
Total Authors: 4
Document type: Journal article
Source: Nuclear Physics B; v. 981, p. 18-pg., 2022-08-01.
Abstract

In this work we calculate the pole-mass of the rho(0) meson with different spin projections s(z) = 0, +/- 1 in the context of the magnetized two-flavor Nambu-Jona-Lasinio model. Making use of the mean field approximation to obtain the effective quark mass as a function of the magnetic field, we apply the random phase approximation (RPA) to the vector channel in order to calculate the polarization function for each spin component. We adopt the magnetic field independent regularization (MFIR) in our evaluations as a method of separating divergences and the Pauli-Villars regularization for the vacuum contributions. The rho(0) meson mass with spin projection s(z) = +1 is always catalyzed with the magnitude of the magnetic field, showing good agreement with Lattice QCD results. The mass projection s(z) = 0 has a non-monotonic behavior, decreasing until the minimum at eB less than or similar to 0.15 GeV2, which is in contrast with available LQCD data. (C) 2022 The Author(s). Published by Elsevier B.V. (AU)

FAPESP's process: 19/10889-1 - Dimensional effects in strongly interacting systems
Grantee:Varese Salvador Timoteo
Support Opportunities: Regular Research Grants