Structure of the meson Regge trajectories

Chen, Jiao-Kai

doi:10.1140/epja/s10050-021-00502-y

Cited by 18 publications

(16 citation statements)

References 59 publications

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“…(A7) and (A9), are consistent with the results obtained in Refs. [67,69] and are consistent with the results from other potential models, such as the quadratic form of the spinless Salpeter-type equation [25][26][27][28], the Schrödinger equation [38,[70][71][72], the Dirac equation [73], the Klein-Gordon equation [74][75][76], the relativistic Thompson equation [77], a first principle Salpeter equation [78,79], a three-dimensional reduction of the Bethe-Salpeter equation [80] and so on.…”

Section: Discussionsupporting

confidence: 84%

“…In case of the nonrelativistic energy region, ν = 1/2, 0.45, 0.4 give V conf ∼r a with a = 2/3, 18/31, 1/2, respectively. It is known that the orbitally excited states and the radially excited states of pion are taken as the ultrarelativistic systems [25]. The suggested 0.45 ≤ ν ≤ 0.5 by the fit indicates the confin-ing potential r a with 9/11≤a ≤ 1.…”

Section: Discussion a Confining Potentialsmentioning

confidence: 99%

“…Different forms of kinematic terms corresponding to different energy regions will yield different behaviors of the Regge trajectories [25]. p and r a leads to M ∼x a/(a+1) while p 2 and r a gives M ∼x 2a/(a+2) (x = l, n r ).…”

Section: Discussionmentioning

confidence: 99%

“…In Ref. [25], we present discussions on the structure of the meson Regge trajectories plotted in the (M 2 , x) plane where x = n r , l based on the quadratic form of the spinless Salpeter-type equation [57][58][59][60][61]. Herein, we present discussions on the structure of the meson Regge trajectories plotted in the (M, x) plane and in the ((M − m R ) 2 , x) plane [12].…”

Section: Appendix A: Structure Of the Regge Trajectoriesmentioning

confidence: 99%

“…[25][26][27], the pion Regge trajectories are fitted by a nonlinear formula, M 2 = 2.78(0.8 + n r ) 2/3 − 2.38. It is known that the significant nonlinearity of the Regge trajectories for the heavy mesons arises from the nonrelativisity of heavy mesons [8,[24][25][26][27][28][29][30][31][32][33][34] due to the heavy masses of quarks. In this work, we revisit the pion Regge trajectories and present discussions on the nonlinearity of them.…”

Section: Introductionmentioning

confidence: 99%

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Revisiting the pion Regge trajectories

Chen¹

2022

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We propose a model-independent ansatz M = βx (x + c0) ν + c1 (x = l, nr) and then use it to fit the orbital and radial pion Regge trajectories without the preset values. It is shown that nonzero c1 is reasonable and acceptable. Nonzero c1 gives an explanation for the nonlinearity of the pion Regge trajectories in the usually employed (M 2 , x) plane. As mR or c1 is chosen appropriately, both the orbital and radial pion Regge trajectories are linear in the ((M − mR) 2 , x) plane whether the π 0 is included or not on the Regge trajectories. The fitted pion Regge trajectories suggest 0.45 ≤ ν ≤ 0.5, which indicates the confining potential r a with 9/11≤a ≤ 1. Moreover, it is illustrated in appendix B that mR can be nonzero for the light mesons and the fitted Regge trajectories are also linear when they are plotted in the ((M − mR) 2 , x) plane. We present discussions in the appendix A on the structure of the Regge trajectories plotted in the (M, x) plane and on the structure of the Regge trajectories in the ((M − mR) 2 , x) plane based on the potential models and the string models.

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Section: Discussionsupporting

confidence: 84%

Section: Discussion a Confining Potentialsmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Section: Appendix A: Structure Of the Regge Trajectoriesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Revisiting the pion Regge trajectories

Chen¹

2022

Preprint

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Regge trajectories for the heavy-light diquarks

Chen,

Feng,

Xie

2023

J. High Energ. Phys.

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We attempt to apply the Regge trajectory approach to the heavy-light diquarks composed of one heavy quark and one light quark. However, we find that the direct application of the usual Regge trajectory formula for the heavy-light mesons and baryons fails. In order to correctly estimate the masses of the heavy-light diquarks, it is needed to consider the light quark mass correction and the parameter C in the Cornell potential within the Regge trajectory formula. By using the modified Regge trajectory formulas, we are able to estimate the masses of the heavy-light diquarks (cu), (cs), (bu) and (bs), which agree with other theoretical results. It is illustrated that the heavy-light diquarks satisfy the universal descriptions irrespective of heavy quark flavors, similar to other heavy-light systems such as the heavy-light mesons, the heavy-light baryons composed of one heavy quark (diquark) and one light diquark (quark), and the heavy-light tetraquarks composed of one heavy diquark (antidiquark) and one light antidiquark (diquark). The diquark Regge trajectory provides a new and very simple approach for estimating the spectra of the heavy-light diquarks.

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Regge trajectory relation for the universal description of the heavy-heavy systems: Diquarks, mesons, baryons and tetraquarks

Chen

2024

Nuclear Physics A

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Structure of the meson Regge trajectories

Cited by 18 publications

References 59 publications

Revisiting the pion Regge trajectories

Revisiting the pion Regge trajectories

Regge trajectories for the heavy-light diquarks

Regge trajectory relation for the universal description of the heavy-heavy systems: Diquarks, mesons, baryons and tetraquarks

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