Electromagnetic form factors of the SU(3) octet baryons in the semibosonized SU(3) Nambu–Jona-Lasinio model

Kim, Hyun-Chul; Blotz, A.; Polyakov, Maxim V.; Goeke, K.

doi:10.1103/physrevd.53.4013

Cited by 77 publications

(132 citation statements)

References 41 publications

(68 reference statements)

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“…This can be translated into a dependence on the Dirac radius R 1 and allows then a direct comparison with recent results of Brodsky and Schlumpf [32]. For this we extracted R 1 from our self-consistent calculation [21] with several constituent quark masses and plotted in the vicinity of the physical point (R 1 = 0.74 fm) g (0)…”

Section: Ii3mentioning

confidence: 96%

“…[2,9]: γ = 2α s /3π. Our aim is to calculate the tensor charges (2) in the chiral quark-soliton model (χQSM, often called the semibosonized Nambu-Jona-Lasinio model) at a low normalization point of several hundreds MeV.The χQSM has been successful in reproducing the static properties of the baryons such as the octet-decuplet mass splitting [11,12,13,14], axial charges [15,16,17,18] and magnetic moments [19,20] and their form factors [19,21] (for details, see the recent review [22]). The baryon in this model is regarded as a bound state of N c quarks bound by a non-trivial chiral field configuration.…”

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confidence: 99%

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Nucleon tensor charges in the SU(2) chiral quark-soliton model

1996

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RUB-TPII-26/95 hep-ph/9509283We investigate the singlet g (0)T and isovector g (3)T tensor charges of the nucleon, which are deeply related to the first moment of the leading twist transversity quark distribution h1(x), in the SU(2) chiral quark-soliton model. With rotational O(1/Nc) corrections taken into account, we obtain g (0) T = 0.69 and g (3) T = 1.45 at a low normalization point of several hundreds MeV. Within the same approximation and parameters the model yields g (0) A = 0.36, g (3) A = 1.21 for axial charges and correct octetdecuplet mass splitting. We show how the chiral quark-soliton model interpolates between the nonrelativistic quark model and the Skyrme model. 11.15. Pg, 13.88.+e, 14.20.Dh The complete information about the quark structure of the nucleon in leading-order hard processes is contained in three twist-two parton distributions. Two of them f 1 (x) and g 1 (x) have been studied extensively theoretically and measured in deep-inelastic scattering experiments [1]. The third transversity quark distribution h 1 (x) is unaccessible for measurements in inclusive deepinelastic experiments. However the h 1 (x) plays an essential role in polarized Drell-Yan processes [2] and other exclusive hard reactions [3,4,5]. The measurement of the h 1 (x) has been proposed recently by the RHIC spin collaboration [6] and HERMES collaboration at HERA [7].The evolution equation for h 1 (x) has been derived in refs. [8,9]. Also it was shown by Jaffe and Ji [5] that the first moment of h 1 (x) is related to the nucleon tensor charge:where f is a flavor index (f = u, d, s, · · ·) and the tensor charge g f T is defined as the forward nucleon matrix element [5,10]:where U (p) is a standard Dirac spinor andIt is convenient to introduce singlet and isovector tensor charges:The tensor charges depend on the renormalization scale and the corresponding anomalous dimension at one loop has been calculated in refs. [2,9]: γ = 2α s /3π. Our aim is to calculate the tensor charges (2) in the chiral quark-soliton model (χQSM, often called the semibosonized Nambu-Jona-Lasinio model) at a low normalization point of several hundreds MeV.The χQSM has been successful in reproducing the static properties of the baryons such as the octet-decuplet mass splitting [11,12,13,14], axial charges [15,16,17,18] and magnetic moments [19,20] and their form factors [19,21] (for details, see the recent review [22]). The baryon in this model is regarded as a bound state of N c quarks bound by a non-trivial chiral field configuration. Such a semiclassical picture of baryons can be justified in the N c → ∞ limit in line with more general arguments by Witten [23]. A remarkable virtue of χQSM is that the model interpolates between the nonrelativistic quark model(NRQM) and the Skyrme model [24]. In particular, due to such an interplay, it enables us to examine the dynamical difference between the axial and tensor charges of the nucleon.In the following, we employ the effective QCD partition function from the instanton picture of QCD in the limit of...

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Section: Ii3mentioning

confidence: 96%

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confidence: 99%

Nucleon tensor charges in the SU(2) chiral quark-soliton model

1996

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“…Having carried out a tedious but straightforward calculation following Refs. [23,42,43], we derive the expressions for the triplet (χ = 3) and octet (χ = 8) axial-vector densities of the nucleon:…”

Section: Axial-vector Form Factors In the χQsmmentioning

confidence: 99%

Axial-vector form factors of the nucleon within the chiral quark-soliton model and their strange components

et al. 2005

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We investigate three different axial-vector form factors of the nucleon, G 0 A , G 3 A , G 8 A , within the framework of the SU(3) chiral quark-soliton model, emphasizing their strangeness content. We take into account the rotational 1/N c and linear strange quark (m s ) contributions using the symmetryconserving SU(3) quantization and assuming isospin symmetry. The strange axial-vector form factor is also obtained and they all are discussed in the context of the parity-violating scattering of polarized electrons off the nucleon and its relevance to the strange vector form factors.

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“…However, we shall not be here bothered by going through all the tedious technical details arising from the regularization (see Ref. [16] for details).…”

Section: Formalismmentioning

confidence: 99%

Strangeness in the scalar form factor of the nucleon

et al. 1996

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The scalar form factor of the nucleon and related physical quantities are investigated in the framework of the semibosonized SU(3) Nambu-Jona-Lasinio soliton model. We take i n to account the rotational 1=N c corrections and linear m s corrections. The strangeness content of the nucleon in the scalar form factor is discussed in detail. In particular, it is found that the m s corrections play an essential role of reducing the hNj ssjNi arising from the leading order and rotational 1=N c contributions.

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Electromagnetic form factors of the SU(3) octet baryons in the semibosonized SU(3) Nambu–Jona-Lasinio model

Cited by 77 publications

References 41 publications

Nucleon tensor charges in the SU(2) chiral quark-soliton model

Nucleon tensor charges in the SU(2) chiral quark-soliton model

Axial-vector form factors of the nucleon within the chiral quark-soliton model and their strange components

Strangeness in the scalar form factor of the nucleon

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