Quarkonium spectra with the linear plus Coulombic potential in the Bethe-Salpeter equation

Arafah, M. R.; Bhandari, Ramesh; Ram, B.

doi:10.1007/bf02785998

Cited by 21 publications

(9 citation statements)

References 14 publications

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“…This causes I(q, k) to become of the form c 0 + c 1 q 0 + c 2 q 2 0 , where c 0 , etc. are functions of q and k. Again, in order to study the temperature-generalized model within the same set of approximations as adopted in [18], we also neglect the q 0 and q 2 0 terms. Then the r.h.s.…”

Section: Dynamics Of Particlizationmentioning

confidence: 99%

“…However, the elegant and compact manner in which the spin-spin, spin-orbit, tensor and "contact" terms now appear (see (16)) is a rather pleasant feature of this approach, which is to be constrasted with the highly unwieldly decomposition that the more familiar method of separation into large and small components would lead to. While we refer to [17] for a more detailed discussion of the Gordon decomposition, we note that an important consideration for us was also to study the temperaturegeneralized version of the model within the same approximation scheme as was used in the original T = 0 model [18]. Equation (4) is reduced to a 3-dimensional equation by making the instantaneous approximation (IA), which consists of two steps.…”

Section: Dynamics Of Particlizationmentioning

confidence: 99%

“…where, as discussed in [18], the constant term has been added to simulate a term that arises in the Gordon reduction of the original equation. Substituting (13), (14) and (15) into (8) and transforming the resulting equation to coordinate space, we obtain…”

Section: This Yieldsmentioning

confidence: 99%

“…We conclude this section by drawing attention to an important fact: The T = 0 equation corresponding to (16) is usually made tractable by the selective use of the approximation M = 2m; see, e.g., [17,18]. In a recent work [25], we have also obtained and studied the equivalent of (16) by making the said approximation.…”

Section: This Yieldsmentioning

confidence: 99%

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Mass spectrum of the temperature dependent Bethe-Salpeter equation for composites of quarks with a Coulomb plus a linear kernel

Malik¹,

Jha

Varma

1998

EPJ A

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We assume that high-energy nucleus-nucleus interactions give rise to a hot and dense plasma comprising quarks and gluons due to successive nucleon-nucleon collisions. We treat this plasma as an ideal fluid at temperature T prior to its eventual particlization, and attempt a microscopic description of meson-formation by using finite temperature propagators for q andq in a Bethe-Salpeter equation with a Coulomb plus a linear kernel. The equation thus obtained is reduced to a Schrodinger-like equation which then yields, for 0 < T < 86 MeV, the bound state masses for different states of bb and cc, which are in agreement with the experimental values for these states. The effects of the temperature of the plasma on the meson masses show up only when the temperature exceeds 86 MeV, pointing to the probable reason for the successes of the earlier models which did not explicitly take the temperature of the plasma into account. PACS.12.40.-y Other models for strong interactions

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Section: Dynamics Of Particlizationmentioning

confidence: 99%

Section: Dynamics Of Particlizationmentioning

confidence: 99%

Section: This Yieldsmentioning

confidence: 99%

Section: This Yieldsmentioning

confidence: 99%

See 2 more Smart Citations

Mass spectrum of the temperature dependent Bethe-Salpeter equation for composites of quarks with a Coulomb plus a linear kernel

Malik¹,

Jha

Varma

1998

EPJ A

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“…Quarkonium has been very well understood in the rest frame [9][10][11][12][13][14][15][16][17][18][19][20][21], even for nonzero temperature [22][23][24][25][26][27][28][29]. Experimentally there are data for quarkonia production both on the proton and nuclear targets (see e.g.…”

Section: Introductionmentioning

confidence: 99%

Lorentz-boosted description of a heavy quarkonium

et al. 2015

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In this paper we study the relation between the light-front (infinite momentum) and rest-frame descriptions of quarkonia. While the former is more convenient for high-energy production, the latter is usually used for the evaluation of charmonium properties. In particular, we discuss the dynamics of a relativistically moving system with nonrelativistic internal motion and give relations between rest frame and light-front potentials used for the description of quarkonium states. We consider two approximations, first the small coupling regime, and next the nonperturbative small binding energy approximation. In both cases we get consistent results. Our results could be relevant for the description of final state interactions in a wide class of processes, including quarkonium production on nuclei and plasma. Moreover, they can be extended to the description of final state interactions in the production of weakly bound systems, such as for example the deuteron.

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Quarkonium spectroscopy in the phenomenological potential model

Pikh¹,

Zdrok²

1991

Soviet Physics Journal

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Quarkonium spectra with the linear plus Coulombic potential in the Bethe-Salpeter equation

Cited by 21 publications

References 14 publications

Mass spectrum of the temperature dependent Bethe-Salpeter equation for composites of quarks with a Coulomb plus a linear kernel

Mass spectrum of the temperature dependent Bethe-Salpeter equation for composites of quarks with a Coulomb plus a linear kernel

Lorentz-boosted description of a heavy quarkonium

Quarkonium spectroscopy in the phenomenological potential model

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