Isospin baryon mass differences in semibosonized SU(3) Nambu—Jona-Lasinio model

Praszałowicz, Michał; Blotz, A.; Goeke, K.

doi:10.1103/physrevd.47.1127

Cited by 11 publications

(16 citation statements)

References 27 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The corresponding results are reported in table 1. As our preferred value of the constituent quark mass, we choose M = 420 MeV at which the model reproduces with good accuracy many nucleon observables -octet-decuplet mass splitting [14], isospin splittings in baryon octet and decuplet [35], singlet axial charge [17,27], magnetic moments, isovector axial charge [16] and electromagnetic form factors [19].…”

Section: Ii3mentioning

confidence: 99%

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

1996

View full text Add to dashboard Cite

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...

show abstract

Section: Ii3mentioning

confidence: 99%

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

1996

View full text Add to dashboard Cite

show abstract

“…Incorporation of symmetry breaking effects via strange and nonstrange current quark masses yields then a nice explanation of physical spectra. To be precise hyperon splittings are determined within ±10MeV accuracy [6], whereas isospin splittings (especially n-p) are reproduced even within the experimental error bars [7]. One should stress that the parameters of the model are strictly fixed by requiring proper pion-decay and pion and kaon masses [6].…”

Section: Hyperon Mass Splittingsmentioning

confidence: 99%

Hyperons in effective chiral quark models

Blotz

Praszałowicz²,

Goeke

1995

Nuclear Physics A

Self Cite

View full text Add to dashboard Cite

show abstract

“…(12), because ∆T = 1 and ∆T = 2 contributions in the eikosiheptaplet are treated separately in Eq. (14). On the other hand, they are identical in the EM operator of the present work.…”

mentioning

confidence: 61%

“…Though the analysis of Ref. [14] works well phenomenologically, the Dashen Ansatz was originally derived for mesons and is valid strictly in the chiral limit. While the isospin mass splittings for the baryon octet are experimentally well known, those for the baryon decuplet are less known.…”

mentioning

confidence: 99%

“…The (∆M B ) H and the (∆M B ) EM represent the hadronic and the electromagnetic contributions to the mass splitting. There is a great amount of works on the isospin mass differences of baryons [11][12][13][14][15][16][17]. Prasza lowicz et al calculated isospin mass splittings of the baryon octet and decuplet [14] in the chiral quark-soliton model, considering the EM mass differences based on the Dashen Ansatz [18].…”

mentioning

confidence: 99%

See 1 more Smart Citation

Electromagnetic mass differences of SU(3) baryons within a chiral soliton model

Yang¹,

Kim²,

Polyakov³

2011

Physics Letters B

View full text Add to dashboard Cite

We investigate the electromagnetic mass differences of SU(3) baryons, using an "modelindependent approach" within a chiral soliton model. The electromagnetic self-energy corrections to the masses of the baryon are expressed as the baryonic two-point correlation function of the electromagnetic currents. Using the fact that the electromagnetic current can be treated as an octet operator, and considering possible irreducible representations of the correlation function, we are able to construct a general collective operator for the electromagnetic self-energies, which consists of three unknown parameters. These parameters are fixed, the empirical data for the electromagnetic mass differences of the baryon octet being employed. We predict those of the baryon decuplet and antidecuplet. In addition, we obtain various mass relations between baryon masses within the corresponding representation with isospin symmetry breaking considered. We also predict the physical mass differences of the baryon decuplet. The results are in good agreement with the existing data.

show abstract

Isospin baryon mass differences in semibosonized SU(3) Nambu—Jona-Lasinio model

Cited by 11 publications

References 27 publications

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

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

Hyperons in effective chiral quark models

Electromagnetic mass differences of SU(3) baryons within a chiral soliton model

Contact Info

Product

Resources

About