Studying vortex flame structure by means of digital photometry

Alekseev, M. M.; Самсонов, В. П.

doi:10.1134/s1063785007060065

Cited by 3 publications

(19 citation statements)

References 2 publications

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“…ii. Our expressions for Bjorken Integral, along with considerable higher twist correction provide a very good description of the following experimental measurements: COMPASS [60], HERMES [61], E143 [63] and JLab experiments [74,75,76], which indicates that the experimental data strongly confirm the BSR prediction.…”

Section: Discussionsupporting

confidence: 62%

“…This requirement is fulfilled by using the solutions of DGLAP equations, which provide well description of the small-x behaviour of xg N S 1 (x, Q 2 ) structure function and determined the Q 2 behaviour of BSR. When these results for BSR are compared with different experimental data [60,61,63,74,75,76] and the predictions made in Ref. [77,78,79,80] along with QCD predictions up to NNLO corrections [69], we have observed a very good consistency among them.…”

supporting

confidence: 65%

“…To extract the first higher twist term we parameterise the Bjorken sum rule as Here leading twist(LT) term corresponds to the pQCD contribution to BSR. Incorporating our Q 2 dependent expressions (31), (32) and (33) for BSR in LO, NLO and NNLO as the LT terms we have fitted above parametrisation to the low Q 2 (0.5 ≤ Q 2 ≤ 5GeV 2 ) experimental data taken from COMPASS [60], HERMES [61], E143 [63] and JLab experiments [74,75,76]. The corresponding values of µ 4 for which best fitting is obtained in different PT orders are summarised in Table 1, along with the respective χ 2 d.o.f values.…”

Section: Higher Twist Correctionmentioning

confidence: 99%

“…In order to investigate the small-x behaviour of g N S 1 (x, t) structure function, in this paper firstly we have assumed that g N S 1 (x, t) satisfies the Regge like behavior g N S 1 (x, t) = Ax −bt , with the Q 2 dependent intercept within smaller x region and then using the model as the initial input, we have solved the DGLAP equation analytically in leading order (LO), next-to-leading order (NLO) and next-next-to-leading order (NNLO). We have performed a phenomenological analysis of these solutions in comparison with different experimental measurements [60,61,62,63] as well as the predictions due to different models [24,64,65,66] and achieved at a very good phenomenological success. The phenomenological success achieved in this regard reflects, on one hand the acceptability of the Regge ansatz in describing the small x behavior of the non-singlet part of spin structure function and on the other hand, the usefulness of the Regge ansatz in evolving the spin structure function, g N S 1 (x, Q 2 ) in accord with DGLAP equation with a considerable precision within smaller x region.…”

mentioning

confidence: 99%

“…which is a reduced form of g N S (x, t) = Ax (1−bt) , with different experimental data taken from COMPASS [60], HERMES [61], SMC [62] and E143 [63] collaborations. The parametrization in its reduced form consists of only one fitting parameter b and hence makes easier the fitting analysis.…”

mentioning

confidence: 99%

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Small-x Behavior of Non-singlet Spin Structure Function and Bjorken Sum Rule with pQCD Correction up to NNLO and Higher Twist Correction

Nath¹,

Sarma²

2017

Int J Theor Phys

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A calculation of the non-singlet part of spin dependent structure function, xg N S 1 (x, Q 2 ) and associated sum rule, the Bjorken Sum rule up to next-next-to-leading order(NNLO) is presented. We use a unified approach incorporating Regge theory and the theoretical framework of perturbative Quantum Chromodynamics. Using a Regge behaved model with Q 2 dependent intercept as the initial input, we have solved the Dokshitzer-GribovLipatov-Altarelli-Parisi (DGLAP) evolution equation up to NNLO at small-2 ) and the solutions are utilised to calculate the polarised Bjorken sum rule(BSR). We have also extracted the higher twist contribution to BSR based on a simple parametrisation. These results for both of xg2 ) and BSR, along with higher twist corrections are observed to be consistent with the available data taken from SMC, E143, HERMES, COM-PASS and JLab experiments. In addition, our results are also compared with that of other theoretical and phenomenological analysis based on different models and a very good agreement is also observed in this regard. Further a very good consistency between our calculated results and theoretical QCD predictions of BSR is also achieved.

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Section: Discussionsupporting

confidence: 62%

supporting

confidence: 65%

Section: Higher Twist Correctionmentioning

confidence: 99%

mentioning

confidence: 99%

mentioning

confidence: 99%

See 3 more Smart Citations

Small-x Behavior of Non-singlet Spin Structure Function and Bjorken Sum Rule with pQCD Correction up to NNLO and Higher Twist Correction

Nath¹,

Sarma²

2017

Int J Theor Phys

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Meson polarized distribution function and mass dependence of the nucleon parton densities

Mirjalili¹,

Keshavarzian²

2014

Chinese Phys. C

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The polarized distribution functions of mesons, including pion, kaon and eta, using the proton structure function, are calculated. We are looking for a relationship between the polarized distribution of mesons and the polarized structure of nucleons. We show that the meson polarized parton distributions leads to zero total spin for mesons, considering the orbital angular momentum of quarks and gluons inside the meson. Two separate Monte Carlo algorithms are applied to compute the polarized parton distributions of the kaon. Via the mass dependence of quark distributions, the distribution function of the eta meson is obtained. A new method by which the polarized sea quark distributions of protons are evolved separately -which cannot be performed easily using the standard solution of DGLAP equations -is introduced. The mass dependence of these distributions is obtained, using the renormalization group equation which makes their evolutions more precise. Comparison between the evolved distributions and the available experimental data validates the suggested solutions for separate evolutions.In Part 1, we calculate the bare quark distributions using the proton polarized structure function g p 1 (x), using data from [10]. Then we compute the ratio of the polarized valence data of kaons to that of pions, δq K val /δq π val , using the data for their unpolarized ratio, q K val /q π val [11], based on two separate Monte Carlo algorithms. We also calculate the polarized valence ratio of eta mesons to pions, δq η val /δq π val , using the mass dependence of the valence quark distribution inside the meson. Substituting these ratios into the chiral quark model (χQM) equations and fitting with experimental data (or any reasonable phenomenological model), the polarized distribution functions in pion, kaon and eta mesons at low energy scales will be obtained. Following that, the evolution of the PDFs, employing the DGLAP equations, can be done straightforwardly [12][13][14][15]. Using these evolved PDFs, we can extract the values of the orbital angular momentum of quarks and gluons inside mesons [6].In Part 2, the PPDFs of the proton, using the distributions extracted for mesons, are calculated. The valence PPDF of the proton can be evolved easily using the non-singlet moment δM NS . Since the DGLAP equations can thoroughly evolve only the sea quark distribution, however, the evolution of the separated sea quarks is more complicated. There are reasonable methods to separate the evolution of sea quarks [16] but in this work we use the running mass and renormalization equation to make the sea quark distribution functions depend on the quark masses. Thereby, the eigenvalues of the evolution operator become non-degenerate. The sea quark distributions at low scale Q 2 0 , arising from χQM , are unsymmetrized. The different eigenvalues of the evolution operator, which are obtained as a result of the new method introduced in this paper, makes the evolution of sea quark densities more distinctive than what we obtained in [17]. Two bounda...

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Transverse spin structure functiong2(x,Q2)in the valon model

et al. 2015

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The spin dependent structure function, g ww 2 , is calculated in the valon model. A simple approach is given for the determination of the twist-3 part of theḡ 2 (x, Q 2 ) in Mellin space; thus, enabling us to obtain the full transverse structure function, g 2 (x, Q 2 ) for proton, neutron and the deuteron. In light of the new data, we have further calculated the transversely polarized structure function of g 3He 2 (x, Q 2 ). Our results are checked against the experimental data and nice agreements are observed.

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Studying vortex flame structure by means of digital photometry

Cited by 3 publications

References 2 publications

Small-x Behavior of Non-singlet Spin Structure Function and Bjorken Sum Rule with pQCD Correction up to NNLO and Higher Twist Correction

Small-x Behavior of Non-singlet Spin Structure Function and Bjorken Sum Rule with pQCD Correction up to NNLO and Higher Twist Correction

Meson polarized distribution function and mass dependence of the nucleon parton densities

Transverse spin structure functiong2(x,Q2)in the valon model

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