Binding of charmonium with two- and three-body nuclei

Belyaev, V.B.; Шевченко, Н. В.; Fix, A.; Sandhas, W.

doi:10.1016/j.nuclphysa.2006.09.010

Cited by 22 publications

(16 citation statements)

References 30 publications

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“…In 1991, Brodsky et al had argued that the cc-nucleus (A) bound system may be realized for the mass number A ≥ 3 if the attraction between the charmonium and the nucleon is sufficiently strong [3]. Therefore, precise information on the cc-N potential V ccN (r) is indispensable for exploring nuclear-bound charmonium state like η c -3 He or J/ψ-3 He bound state in few body calculations [6].We recall a recent great success of the N-N potential from lattice QCD [7]. In this new approach, the potential between hadrons can be calculated from the equal-time BetheSalpeter (BS) amplitude through the effective Schrödinger equation.…”

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Study of charmonium-nucleon interaction in lattice QCD

Kawanai

Sasaki

Nielsen³

et al. 2010

AIP Conference Proceedings

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Abstract. We report preliminary results for charmonium-nucleon potential V ccN (r) from quenched lattice QCD, which is calculated from the equal-time Bethe-Salpeter amplitude through the effective Schrödinger equation. Our simulations are performed at a lattice cutoff of 1/a=2.0 GeV in a spatial volume of (3 fm) 3 with the nonperturbatively O(a) improved Wilson action for the light quarks and a relativistic heavy quark action for the charm quark. We have found that the potential V ccN (r) is weakly attractive at short distance and exponentially screened at long distance.Keywords: Lattice QCD, Hadron-hadron interaction PACS: 11.15. Ha, The heavy quarkonium state such as the charmonium (cc) state does not share the same quark flavor with the nucleon (N). This suggests that the heavy quarkoniumnucleon interaction is mainly induced by the genuine QCD effect of multi-gluon exchange [1,2]. As an analog of the van der Waals force, two-gluon exchange contribution gives a weakly attractive, but long-ranged interaction between the heavy quarkonium state and the nucleon. However, the validity of the calculation based on the perturbative theory is questionable for QCD where the nature of the strong coupling appears in the long distance region.The cc-N scattering at low energies has been studied from first principles of QCD. The s-wave J/ψ-N scattering length is about 0.1 fm by using QCD sum rules [4] and 0.71±0.48 fm (0.70±0.66 fm for η c -N) by lattice QCD [5], while it is estimated as large as 0.25 fm from the gluonic van der Waals interaction [1]. All studies suggest that the cc-N interaction is weakly attractive. This indicates that the possibility of the formation of charmonium bound to nuclei is enhanced. In 1991, Brodsky et al. had argued that the cc-nucleus (A) bound system may be realized for the mass number A ≥ 3 if the attraction between the charmonium and the nucleon is sufficiently strong [3]. Therefore, precise information on the cc-N potential V ccN (r) is indispensable for exploring nuclear-bound charmonium state like η c -3 He or J/ψ-3 He bound state in few body calculations [6].We recall a recent great success of the N-N potential from lattice QCD [7]. In this new approach, the potential between hadrons can be calculated from the equal-time BetheSalpeter (BS) amplitude through the effective Schrödinger equation. Thus, the direct measurement of the cc-N potential is now feasible by using lattice QCD. It should be very important to give a firm theoretical prediction about nuclear-bound charmonium, which is possibly investigated by experiments at J-PARC and GSI.The method utilized here to calculate the hadron-hadron potential in lattice QCD is based on the same idea originally applied for the N-N potential [7,8]. We first calculate arXiv:1007.1515v1 [hep-lat]

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Study of charmonium-nucleon interaction in lattice QCD

Kawanai

Sasaki

Nielsen³

et al. 2010

AIP Conference Proceedings

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“…In Ref. [170], the Faddeev calculations of η c d (d is a deuteron) and η 3 c He are performed for the Yukawa-type potential for η c N and the Paris potential for N N , where the η c N potential is parametrized according to Ref. [35].…”

Section: Few-body Systemsmentioning

confidence: 99%

Heavy hadrons in nuclear matter

Hosaka

Hyodo

Sudoh

et al. 2017

Progress in Particle and Nuclear Physics

126

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Current studies on heavy hadrons in nuclear medium are reviewed with a summary of the basic theoretical concepts of QCD, namely chiral symmetry, heavy quark spin symmetry, and the effective Lagrangian approach. The nuclear matter is an interesting place to study the properties of heavy hadrons from many different points of view. We emphasize the importance of the following topics: (i) charm/bottom hadron-nucleon interaction, (ii) structure of charm/bottom nuclei, and (iii) QCD vacuum properties and hadron modifications in nuclear medium. We pick up three different groups of heavy hadrons, quarkonia (J/ψ, Υ), heavy-light mesons (D/D,B/B) and heavy baryons (Λ c , Λ b ). The modifications of those hadrons in nuclear matter provide us with important information to investigate the essential properties of heavy hadrons. We also give the discussions about the heavy hadrons, not only in infinite nuclear matter, but also in finite-size atomic nuclei with finite baryon numbers, to serve future experiments. but it is "renormalized" to the low energy degrees of freedom such as the collective modes (e.g. surface vibration, rotation, nucleon pairings) [9].2 We notice that, for the light u and d flavors, the first excited state of the nucleon, N (1535) with spin-parity J P = 1/2 − , is well explained as an orbital excitation of valence quarks (P-wave excitation), but with an s quark the corresponding state, Λ(1405) with J P = 1/2 − , shows up with very different structure governed by theKN -πΣ dynamics.4 See for example Ref. [28]. 5 This is an example of the quantum fluctuations, which are important in the state with finite baryon number density.Such fluctuation effect is suppressed at finite temperature. 6 The Kondo effect is a known phenomena caused by the Fermi instability when the heavy impurity particle with non-Abelian interaction exists (see Sect. 4).(j ) J with total spin J and brown muck spin j decays to the final heavy hadron Ψ (j) J with total spin J and brown muck spin j by emitting a light hadron, e.g. a pion π with relative angular momentum L. Due to the independent conservations of the heavy quark spin S and the brown muck spin j, we see that the strength of the decay widths is parametrized as(2.2.45) by neglecting the corrections with the heavy hadron mass M [57]. Here J ( ) = j ( ) ± 1/2. In realistic application to experimental data, we need to include the phase space factor due to the different mass thresholds. Including this factor, we can reproduce the branching ratios of the known decay patterns of 8 We notice the conservation of J is valid only when the vacuum is rotationally invariant. If the rotational symmetry is broken, we cannot apply the following discussion. For example, such situation can happen when the external field (e.g. a magnetic field [56]) breaks the rotational symmetry.11 Note that the notations are different from those in Sect. 2.3.1 as fπ = √ 2F , ξ = u, V µ = −a µ , A µ = −a µ ⊥ and Uq = h. 12 We note that the covariant derivative forqQ meson is defined by D µ Hv = ∂ µ Hv + iHvV µ [26]...

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“…It is argued that the cc-nucleus (A) bound system may be realized for the mass number A ≥ 3 if the attraction between the charmonium and the nucleon is sufficiently strong [68,69]. Precise information on the cc-N potential V ccN (r) is therefore indispensable for exploring nuclear-bound charmonium states such as the η c -3 He or J/ψ-3 He bound state in few body calculations [70].…”

Section: Meson-baryon Interactionsmentioning

confidence: 99%

Hadron interactions from lattice QCD

Aoki

2008

Proceedings of the XXV International Symposium on Lattice Field Theory — PoS(LATTICE 2007)

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Progress on the potential method, recently proposed to investigate hadron interactions in lattice QCD, is reviewed. The strategy to extract the potential in lattice QCD is explained in detail. The method is applied to extract N N potentials, hyperon potentials and the meson-baryon potentials. A theoretical investigation is made to understand the origin of the repulsive core using the operator product expansion. Some recent extensions of the method are also discussed.

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Binding of charmonium with two- and three-body nuclei

Cited by 22 publications

References 30 publications

Study of charmonium-nucleon interaction in lattice QCD

Study of charmonium-nucleon interaction in lattice QCD

Heavy hadrons in nuclear matter

Hadron interactions from lattice QCD

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