Systematics of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi>q</mml:mi></mml:mrow><mml:mrow><mml:mn>6</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>systems in a simple chromomagnetic model

Silvestre‐Brac, B.; Leandri, J.

doi:10.1103/physrevd.45.4221

Cited by 43 publications

(54 citation statements)

References 49 publications

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“…It was applied to diquonia made of ordinary quarks by Mo and Hogaasen [19]. Within this framework systematic studies of Qq4 systems [37] and dibaryon systems [38] were carried out recently. In these studies more elaborate treatments were done for some of the most interesting candidates, and the conclusion was that, although the chromodynamic binding is always overestimated, a Hamiltonian such as (2.1) is able to predict in a correct way the general trends of the state hierarchy.…”

Section: The Model Hamiltonianmentioning

confidence: 99%

Systematics ofQ2(Q¯2)systems with a chromomagnetic interaction

Silvestre‐Brac¹

1992

Phys. Rev. D

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Within the framework of a simple model including chromomagnetic interactions only, the energies of diquonia QZ (c2) with orbital angular momentum L=O are calculated and compared to the threshold energies. The results are given as functions of mass ratios and all possible diquonia built with u, d , s, c, b quarks and spins S=0,1,2 are studied. A number of new systems which could be bound under strong interactions are proposed.PACS number(s): 12.40.Qq, 11.30.H~ Today quantum chromodynamics (QCD) is recognized as the correct theory for strong interactions; it relies on the color interaction between quarks and gluons. The number of possible color configurations increases dramatically with the number of interacting quarks in a given system. However, the experimental situation forces QCD to be implemented with the physical principle that observable hadrons must be color singlets. The immediate consequence [with a SU(3), gauge group] is the triality rule: any observable hadron must be composed in such a way that the number of quarks minus the number of antiquarks is a multiple of 3. This principle allows one to reduce greatly the number of color configurations. Indeed, the simplest systems, mesons (qq3 or baryons (q3), need only one color wave function. These hadrons are bound by gluon exchange. For more complicated objects the binding due to strong interactions can come either from meson exchange or from gluon exchange. The first category contains the wide and rich variety of atomic nuclei and received a lot of attention, although it is based on less microscopic grounds, for more than fifty years. The second category contains particles of type q "' qn bound by gluons, with the restriction m -n=3B,B being the baryon number. The total set of such systems bears the generic name of "multiquarks" and has been also qualified as "exotic" in the past. The mere existence of these multiquarks is already very important because it is the clue of the reliability of QCD. They are not forbidden by QCD and thus they must exist either as bound states or as typical resonances in some definite channels. If they are not seen experimentally, QCD has to be questioned or, at least, some mechanism must be invoked to explain their absence.Among the possible multiquarks, the diquonia q2q2 with B =O are the simplest samples. Since their introduction by Jaffe [I], a lot of work has been devoted to their study. Even for such simple objects an exact treatment *Electronic address: bsilvest at frcpnl 1 .bitnet 46 -based on QCD is not feasible, and one has to rely upon some approximation. Most of the derived models are called "QCD" inspired." Some of them are very crude, using only special constant matrix elements 12-51. More refined methods have also been used more recently: relativistic strings [6], QCD sum rules [7], bag models [8,9], potential models [lo-161, the simplified Bethe-Salpeter formalism [17].In addition to the problem of the spectrum, the decay of the diquonia is also an interesting question. One can imagine essentially two different d...

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Section: The Model Hamiltonianmentioning

confidence: 99%

Systematics ofQ2(Q¯2)systems with a chromomagnetic interaction

Silvestre‐Brac¹

1992

Phys. Rev. D

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“…As pointed out in [4], a more realistic systematic search of dibaryons would be a tremendous task, for which a systematic and powerful method is indispensable. The fractional parentage (fp) expansion developed in atomic and nuclear physics is one of such methods.…”

Section: Introductionmentioning

confidence: 99%

“…Since the first prediction of H particle by Jaffe [3], there have been tremendous efforts both theoretically and experimentally [4] to find possible candidates for quasistable dibaryon states. Nevertheless, there remains an outstanding question.…”

Section: Introductionmentioning

confidence: 99%

Extension of fractional parentage expansion to the nonrelativistic and relativisticSUf(3) dibaryon calculations

1995

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“…Other configurations receive a coherent attraction of chromomagnetic forces [11], in particular, the 1987-vintage version of the pentaquark [12][13][14]. But, again, it turns out very difficult to build a realistic wave function that gives enough short-range correlation for all pairs.…”

Section: Binding Mechanisms For Multiquarksmentioning

confidence: 97%

Multiquarks and Steiner trees

Richard

2010

Nuclear Physics B - Proceedings Supplements

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QCD10 Montpellier, June 28 - July 3, 2010A brief review review is presented of models tentatively leading to stable multiquarks. A new attempt is presented, based on a Steiner-tree model of confinement, which is inspired by by QCD. It leads to more attraction than the empirical colour-additive model used in earlier multiquark calculations, and predict several multiquark states in configurations with different flavour

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Systematics ofq6systems in a simple chromomagnetic model

Cited by 43 publications

References 49 publications

Systematics ofQ2(Q¯2)systems with a chromomagnetic interaction

Systematics ofQ2(Q¯2)systems with a chromomagnetic interaction

Extension of fractional parentage expansion to the nonrelativistic and relativisticSUf(3) dibaryon calculations

Multiquarks and Steiner trees

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