J∕Ψ Mass Shift and J∕Ψ-Nuclear Bound State

Tsushima, K.; Lu, Dah‐Yuu; Krein, G.; Thomas, A. W.

doi:10.1063/1.3587583

Cited by 12 publications

(24 citation statements)

References 16 publications

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“…with cutoff parameter Λ B [21][22][23][24][56][57][58][59][60], for each ΥBB vertex. In a later section we will discuss the nonneglegible role played by this form factor and the cutoff parameter Λ B .…”

Section: A υ Mass Shiftmentioning

confidence: 99%

$Υ$ and $η_b$ nuclear bound states

~Cobos-Martínez¹,

~Zeminiani²,

~Tsushima³

2022

Preprint

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Υ and η b nuclear bound state energies are calculated for various nuclei neglecting any possible effects of the widths. Essential input for the calculations, namely the medium-modified B and B * meson masses, as well as the density distributions in nuclei, are calculated within the quark-meson coupling (QMC) model. The attractive potentials for the Υ and η b mesons in nuclei are calculated from the mass shifts of these mesons in nuclear matter in the local density approximation. These potentials originate from the in-medium enhanced BB and BB * loops in their respective self energy. After an extensive analysis we conclude that our results suggest that the Υ and η b mesons should form bound states with all the nuclei considered.

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Section: A υ Mass Shiftmentioning

confidence: 99%

$Υ$ and $η_b$ nuclear bound states

~Cobos-Martínez¹,

~Zeminiani²,

~Tsushima³

2022

Preprint

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“…Expanding this in terms of the components given in Eqs. (10) and (11), we obtain the following interaction Lagrangians [56],…”

Section: A Effective Lagrangians and υ Self-energymentioning

confidence: 99%

“…In the past few decades, many attempts were made [3][4][5][6] to find alternatives to the meson-exchange mechanism for the heavy-quarkonium-nucleon interaction. Some works employed charmed meson loops [7][8][9][10][11], others were based on QCD sum rules [12][13][14][15], phenomenological potentials [16,17], the charmonium color polarizability [18,19], and van der Waals type forces [7,[20][21][22][23][24][25][26].…”

Section: Introductionmentioning

confidence: 99%

\boldmath{$Υ$} and \boldmath{$η_b$} mass shifts in nuclear matter

Zeminiani,

Cobos-Martinez,

Tsushima

2020

Preprint

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We estimate, for the first time, the Υ and η b mass shifts in symmetric nuclear matter. The estimate for the Υ is made using an SU(5) effective Lagrangian, studying the BB, BB * , and B * B * meson loop contributions for the self-energy. As a result, we include only the BB meson loop contribution as our minimal prediction. As for the η b , we include only the BB * meson loop contribution in the self-energy to be consistent with the minimal prediction for the Υ mass shift. The in-medium masses of the B and B * mesons appearing in the self-energy loops are calculated by the quarkmeson coupling model. Form factors are used to regularize the loop integrals with a wide range of the cutoff mass values. A detailed analysis on the BB, BB * , and B * B * meson loop contributions for the Υ mass shift is made by comparing with the corresponding DD, DD * , and D * D * meson loop contributions for the J/Ψ mass shift. Based on the analysis for the Υ, our prediction for the η b mass shift is made on the same footing as that for the Υ, namely including only the BB * meson loop. The Υ mass shift is predicted to be -16 to -22 MeV at the symmetric nuclear matter saturation density with the cutoff mass values in the range 2000 -6000 MeV using the ΥBB coupling constant determined by the vector meson dominance model, while the η b mass shift is predicted to be -75 to -82 MeV with the SU(5) universal coupling constant determined by the ΥBB coupling constant and for the same range of the cutoff mass values.

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“…Despite a lack of new experimental data of J/ψ production off a nucleon or nuclei near threshold a sustained theoretical activity on the subject ensued, over the past twenty years, for a better quantitative grasp of this color Van der Waals force. For example, Kaidalov and Volkovitsky [5] argued that S-wave quarkonia can be found in nuclei with A ≥10 with a binding energy of few MeV, de Teramond et al [6] in an update to his original paper with Brodsky [3] estimated a binding energy of 2 MeV in 12 C and 10 MeV in 208 Pb, while Shevchenko [7] pointed out in a later work that the interaction of charmonium-nucleon is so small that the potential depth for nuclear bound state may only exist for nuclei with A > 200. Applying QCD sum rules Hayashigaki [8] found a 4 to 7 MeV binding of the J/ψ in nuclear matter.…”

Section: Color Van Der Waals Forcesmentioning

confidence: 99%

“…Kawanai and Sasaki [10] calculated the charmonium-nucleon potential from the equal-time Bethe-Salpeter amplitude through the effective Schrödinger equation and found that the charmoniumnucleon potential is weakly attractive at short distances and exponentially screened at large distances. Tsushima, Lu, Krein and Thomas [11,12] have explored the ψ-nuclear bound states and found that the attractive potential that originates from the D and D * meson loops in the J/ψ in nuclear medium should produce bound states, they predicted binding energies from 5 MeV in 4 He to around 20 MeV in 208 Pb.…”

Section: Color Van Der Waals Forcesmentioning

confidence: 99%