Analysis of Mass Modifications of the Vector and Axial Vector Heavy Mesons in the Nuclear Matter With the QCD Sum Rules

Abstract

In this article, we calculate the mass modifications of the vector and axialvector mesons D * , B * , D1 and B1 in the nuclear matter with the QCD sum rules, and obtain the massshifts δMD * = −71 MeV, δMB * = −380 MeV, δMD 1 = 72 MeV, δMB 1 = 264 MeV, and the scattering lengths aD * = −1.07 fm, aB * = −7.17 fm, aD 1 = 1.15 fm and aB 1 = 5.03 fm for the D * N , B * N , D1N and B1N interactions, respectively.

D*andB*mesons in strange hadronic medium at finite temperature

“…Medium modification of heavy vector mesons had also been studied in [1,4,6]. Using QCD sum rules the values of mass shift for D * and B * in [4] were -71 and -380 MeV, respectively.…”

“…In this investigation, we ignore pion bath term and calculate the effect of temperature on the mesons through the modification of scalar σ, ζ, and scalar dilaton χ fields with temperature. As discussed in [4], correlation function T N μν (q) can be related to D * N scattering T matrix through scattering lengths. Phenomenological density can be parametrized in terms of unknown parameters a, b and c [5].…”

“…Phenomenological density can be parametrized in terms of unknown parameters a, b and c [5]. Borel transformed equation is used to solve these unknown parameters and final mass shift can be defined as [4],…”

In-medium properties of pseudoscalar $$D_s$$ D s and $$B_s$$ B s mesons

“…Furthermore, to calculate the shift in the masses and the decay constants, we express the scattering amplitude T N (q), near the pole position of the pseudoscalar mesons in terms of the spectral density [80]. This spectral density in the limit of q → 0 can be further parameterized in terms of three unknown parameters a, b and c, given as [35,81,82],…”

StrongΛbNBandΛcNDvertices

“…Hence, we need to know the exact values of the strong coupling constants g Λ b NB , g Λ c ND , g Σ b NB , and g Σ c ND entering the Born term in the calculations [30][31][32][33][34]. Note that among these couplings, we have only one approximate prediction for the strong coupling g Λ c ND in the literature calculated at zero transferred momentum square, taking the Borel masses in the initial and final channels as the same [19].…”