Counting of oscillatory modes of valence quarks forming q–q̄ mesons

Kabana, S.; Minkowski, Peter

doi:10.1142/s0217751x16500238

Cited by 2 publications

(4 citation statements)

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“…In the present paper we calculated the density of states for baryons and compared it to our previous calculation for mesons [17]. The counting of baryons is done here for the first time in a complete fashion and for the mesons it has been published in a previous paper [17].…”

Section: Discussionmentioning

confidence: 94%

“…The counting of baryons is done here for the first time in a complete fashion and for the mesons it has been published in a previous paper [17]. This calculation is valid in the limit of large N. It includes only oscillatory modes for u,d,s quarks and antiquarks for qqq baryons and qq, i.e.…”

Section: Discussionmentioning

confidence: 99%

“…Figure 1 shows the logarithm of the density of states of baryons defined in formula 3, together with the density of states of mesons from ref. [17], [19] as a function of the main quantum number N plus one. This calculation (shown here for N+1 until 10) includes only oscillatory modes for u,d,s quarks and antiquarks for qqq baryons and qq for mesons, i.e.…”

Section: Dynamics -Poincaré-invariant Harmonic Oscillator Modes For Bmentioning

confidence: 99%

“…The estimate and counting of oscillatory modes of mesons with light flavored u, d, s quarks and corresponding antiquarks has been published previously in ref. [17]. In the following we will elaborate on the oscillating modes of baryons and compare with the measured ones.…”

Section: Introductionmentioning

confidence: 98%

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Counting of oscillatory modes of valence quarks forming qqq baryons for 3 quark flavors u,d,s

Kabana

Minkowski

2017

EPJ Web Conf.

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Abstract. We present a selection the unique properties of oscillatory modes of N f l = 3 light quarks −u, d, s−, using the SU 2 N f l = 6 × SO3 L broken symmetry classification. L = N f l n = 1 L n stands for the space rotation group generated by the sum of the three individual angular momenta of quarks in their c.m. system. The baryonic multiplets are shown to emerge from the picture of oscillating quarks in 3 space dimensions in the center of mass system of the baryons. All oscillatory modes are fully relativistic with a finite number of oscillators and ths is forming the unique harmonic oscillators with these properties. The density of states as a function of mass-square is calculated. This estimate is of relevance for the accounting of the missing states of unobserved hadrons, as the here estimated baryonic multiplets include both the observed and the unobserved (or "missing") hadrons. The estimate is conceptually different from Hagedorn's model and is based on field theory of QCD.

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Section: Discussionmentioning

confidence: 94%

Section: Discussionmentioning

confidence: 99%

Section: Dynamics -Poincaré-invariant Harmonic Oscillator Modes For Bmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 98%

See 2 more Smart Citations

Counting of oscillatory modes of valence quarks forming qqq baryons for 3 quark flavors u,d,s

Kabana

Minkowski

2017

EPJ Web Conf.

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Counting of oscillatory modes of valence quarks forming qqq baryons for three quark flavors u, d, s

Kabana

Minkowski

2017

Int. J. Mod. Phys. A

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We present the unique properties of oscillatory modes of [Formula: see text] light quarks — [Formula: see text], [Formula: see text], [Formula: see text] — using the [Formula: see text] broken symmetry classification. [Formula: see text] stands for the space rotation group generated by the sum of the three individual angular momenta of quarks in their c.m. system. The baryonic multiplets are shown to emerge from the picture of oscillating quarks in three space dimensions in the center-of-mass system of the baryons. All oscillatory modes are fully relativistic with a finite number of oscillators and this is forming the unique harmonic oscillator with these properties. The density of states as a function of mass-square is calculated. This estimate is of relevance for the accounting of the missing states of unobserved hadrons, as the here estimated baryonic multiplets include both the observed and the unobserved (or “missing”) hadrons. The estimate is conceptually different from Hagedorn’s model and is based on field theory of QCD.

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Counting of oscillatory modes of valence quarks forming q–q̄ mesons

Abstract: International audienc

Cited by 2 publications

References 14 publications

Counting of oscillatory modes of valence quarks forming qqq baryons for 3 quark flavors u,d,s

Counting of oscillatory modes of valence quarks forming qqq baryons for 3 quark flavors u,d,s

Counting of oscillatory modes of valence quarks forming qqq baryons for three quark flavors u, d, s

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