Quantizing the rotating string with massive endpoints

Sonnenschein, Jacob; Weissman, Dorin

doi:10.1007/jhep06(2018)148

Cited by 22 publications

(67 citation statements)

References 56 publications

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“…where a quantum correction L 0 has been added based on a quantized theory of relativistic string [33][34][35]. The boundary condition of string at ends with heavy quark gives…”

Section: Summary and Discussionmentioning

confidence: 99%

Regge behaviors in orbitally excited spectroscopy of charmed and bottom baryons

Jia

Liu

2020

Phys. Rev. D

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Recently, the LHCb Collaboration observed two new bottom baryons, the Ξ b (6227) − and the Σ b (6097) ± , which arouses considerable interest in their inner structures. Stimulated by this, we re-examine the low-lying spectrum of the singly heavy baryons in the heavy quark-diquark picture. Our computation indicates that a linear Regge relation, which is derived from the rotating string model, is sufficient to describe the mass spectrum of all observed singly heavy baryons, predicting that the quantum numbers of the charmed baryons Σ c (2800) and the charm-strange baryon Ξ ′ c (2930), which remain unknown experimentally, are preferably J P = 3/2 − . Similar calculations for the bottom partners support that the newly observed baryons Σ b (6097) − and Ξ ′ b (6227) − are the 1P-wave excitations of the baryons Σ b and Ξ ′ b with J P = 3/2 − . PACS numbers: 14.40.Be, 12.40.Nn, 12.39.Ki ′ b (6227) − . Finally, the paper ends with the discussions and summary in Sec. V. II. SPIN-INDEPENDENT MASSES FOR SINGLY HEAVY BARYONSThe notion of Regge trajectory or Regge mass relation for hadrons, which connects high energy scattering and the spectrum of hadrons in general theory [14], provides us a powerful way to organize the whole spectrum of a given family of the hadrons. In the case of light hadrons, the Regge trajectories are commonly believed to be linear and parallel, and these features are also tested to be true roughly for the SH hadrons in Ref. [24] provided that the hadron mass undergoes a shift M → M − M Q , with M Q the heavy quark mass. As such, one can estimate the spin-averaged masses of Σ c and Ξ ′ c in their P-wave states with the help of the trajectory information of the partner baryons, Λ c and Ξ 0 c , which has the rich data experimentally, and so forth.

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“…where a quantum correction L 0 has been added based on a quantized theory of relativistic string [33][34][35]. The boundary condition of string at ends with heavy quark gives…”

Section: Summary and Discussionmentioning

confidence: 99%

Regge behaviors in orbitally excited spectroscopy of charmed and bottom baryons

Jia

Liu

2020

Phys. Rev. D

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“…is the radial excitation number. As we have shown in our more recent work [36], this is not the exact form of the quantum corrections, but it works well as a first approximation, especially considering we leave the intercept as a free parameter. Note also that we define the trajectory in terms of the orbital angular momentum and not the total one, and if there is additional spin in the hadron the intercept is shifted accordingly.…”

Section: Fitting Model and Parametersmentioning

confidence: 92%

Excited mesons, baryons, glueballs and tetraquarks: predictions of the Holography Inspired Stringy Hadron model

Sonnenschein

Weissman

2019

Eur. Phys. J. C

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In this note we collect and summarize the predictions of the Holography Inspired Stringy Hadron (HISH) model. Following a brief review of the model, we list the masses and widths of predicted excited states across the spectrum, based on placing the different hadrons on the non-linear Regge trajectories of a string with massive endpoints. Our predicted states include: (i) Light, heavy-light and heavy-heavy mesons. (ii) Baryons, including charmed, doubly charmed and bottom baryons. (iii) Glueballs, together with a method to disentangle them from flavorless mesons. (iv) Genuine tetraquarks, which are not "molecules" of hadrons, and are characterized by their decay into a baryon and an anti-baryon.

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“…For this and other reasons, in the present work, we describe the ground state in terms of a classical solution with a helical symmetry, i.e., a symmetry under a combined time translation and global symmetry translation [1] [17] [25] [26]. In classical mechanics the two notions are precisely equivalent after a change of variables: The overall lowest-energy classical solution of the system with chemical potential is always static on general grounds of Hamiltonian mechanics; therefore after a timedependent global symmetry transformation that removes the chemical potential term from the Hamiltonian, the lowest-energy ground state with a given charge must have a helical symmetry.…”

Section: A Comment On Helical Symmetries and Chemical Potentialsmentioning

confidence: 99%

A note on inhomogeneous ground states at large global charge

Hellerman

Kobayashi

Maeda

et al. 2019

J. High Energ. Phys.

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As a sequel to previous work, we extend the study of the ground state configuration of the D = 3, Wilson-Fisher conformal O(4) model. In this work, we prove that for generic ratios of two charge densities, ρ 1 /ρ 2 , the ground-state configuration is inhomogeneous and that the inhomogeneity expresses itself towards longer spatial periods. This is the direct extension of the similar statements we previously made for ρ 1 /ρ 2 1. We also compute, at fixed set of charges, ρ 1 , ρ 2 , the ground state energy and the two-point function(s) associated with this inhomogeneous configuration on the torus. The ground state energy was found to scale (ρ 1 + ρ 2 ) 3/2 , as dictated by dimensional analysis and similarly to the case of the O(2) model. Unlike the case of the O(2) model, the ground also strongly violates cluster decomposition in the large-volume, fixed-density limit, with a two-point function that is negative definite at antipodal points of the torus at leading order at large charge.

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Quantizing the rotating string with massive endpoints

Cited by 22 publications

References 56 publications

Regge behaviors in orbitally excited spectroscopy of charmed and bottom baryons

Regge behaviors in orbitally excited spectroscopy of charmed and bottom baryons

Excited mesons, baryons, glueballs and tetraquarks: predictions of the Holography Inspired Stringy Hadron model

A note on inhomogeneous ground states at large global charge

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