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Title: Measurements of d 2 n and A 1 n : Probing the neutron spin structure

Abstract

We report on the results of the E06-014 experiment performed at Jefferson Lab in Hall A, where a precision measurement of the twist-3 matrix element $$d_2$$ of the neutron ($$d_{2}^{n}$$) was conducted. This quantity represents the average color Lorentz force a struck quark experiences in a deep inelastic electron scattering event off a neutron due to its interaction with the hadronizing remnants. This color force was determined from a linear combination of the third moments of the spin structure functions $$g_1$$ and $$g_2$$ on $$^{3}$$He after nuclear corrections had been applied to these moments. The kinematics included two average $$Q^{2}$$ bins of $3.2$ GeV$$^{2}$$ and $4.3$ GeV$$^{2}$$, and Bjorken-$x$ $$0.25 \leq x \leq 0.90$$ covering the DIS and resonance regions. We found $$d_2^n$$ to be small and negative for $ = 3.2$ GeV$$^{2}$$, and smaller for $ = 4.3$ GeV$$^{2}$$, consistent with a lattice QCD calculation. The twist-4 matrix element $$f_{2}^{n}$$ was extracted by combining our $$d_{2}^{n}$$ with the world data on $$\Gamma_{1}^{n} = \int_{0}^{1} g_{1}^{n} dx$$. We found $$f_{2}^{n}$$ to be roughly an order of magnitude larger than $$d_{2}^{n}$$. Utilizing the extracted $$d_{2}^{n}$$ and $$f_{2}^{n}$$ data, we separated the color force into its electric and magnetic components, $$F_{E}^{y,n}$$ and $$F_{B}^{y,n}$$, and found them to be equal and opposite in magnitude, in agreement with instanton model predictions but not with those from QCD sum rules. Additionally, we have extracted the neutron virtual photon-nucleon asymmetry $$A_{1}^{n}$$, the structure function ratio $$g_{1}^{n}/F_{1}^{n}$$, and the quark ratios $$(\Delta u + \Delta \bar{u})/(u + \bar{u})$$ and $$(\Delta d + \Delta \bar{d})/(d + \bar{d})$$. Lastly, these results were found to be consistent with DIS world data and with the prediction of the constituent quark model but at odds with those of perturbative QCD at large $x$.

Authors:
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Publication Date:
Research Org.:
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Univ. of Virginia, Charlottesville, VA (United States); Mississippi State Univ., Mississippi State, MS (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
Contributing Org.:
Jefferson Lab Hall A Collaboration
OSTI Identifier:
1320788
Alternate Identifier(s):
OSTI ID: 1319975; OSTI ID: 1417865
Report Number(s):
JLAB-PHY-16-2297; DOE/OR/23177-3873; arXiv:1603.03612
Journal ID: ISSN 2470-0010; PRVDAQ
Grant/Contract Number:  
FG02-94ER40844; FG02-87ER40315; AC05-060R23177; SC0014325; FG02-07ER41528
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 94; Journal Issue: 5; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Flay, D., Posik, M., Parno, D. S., Allada, K., Armstrong, W. R., Averett, T., Benmokhtar, F., Bertozzi, W., Camsonne, A., Canan, M., Cates, G. D., Chen, C., Chen, J. -P., Choi, S., Chudakov, E., Cusanno, F., Dalton, M. M., Deconinck, W., de Jager, C. W., Deng, X., Deur, A., Dutta, C., Fassi, L. El, Franklin, G. B., Friend, M., Gao, H., Garibaldi, F., Gilad, S., Gilman, R., Glamazdin, O., Golge, S., Gomez, J., Guo, L., Hansen, O., Higinbotham, D. W., Holmstrom, T., Huang, J., Hyde, C., Ibrahim, H. F., Jiang, X., Jin, G., Katich, J., Kelleher, A., Kolarkar, A., Korsch, W., Kumbartzki, G., LeRose, J. J., Lindgren, R., Liyanage, N., Long, E., Lukhanin, A., Mamyan, V., McNulty, D., Meziani, Z. -E., Michaels, R., Mihovilovič, M., Moffit, B., Muangma, N., Nanda, S., Narayan, A., Nelyubin, V., Norum, B., Nuruzzaman,, Oh, Y., Peng, J. C., Qian, X., Qiang, Y., Rakhman, A., Ransome, R. D., Riordan, S., Saha, A., Sawatzky, B., Shabestari, M. H., Shahinyan, A., Širca, S., Solvignon, P., Subedi, R., Sulkosky, V., Tobias, W. A., Troth, W., Wang, D., Wang, Y., Wojtsekhowski, B., Yan, X., Yao, H., Ye, Y., Ye, Z., Yuan, L., Zhan, X., Zhang, Y., Zhang, Y. -W., Zhao, B., and Zheng, X. Measurements of d2n and A1n: Probing the neutron spin structure. United States: N. p., 2016. Web. doi:10.1103/PhysRevD.94.052003.
Flay, D., Posik, M., Parno, D. S., Allada, K., Armstrong, W. R., Averett, T., Benmokhtar, F., Bertozzi, W., Camsonne, A., Canan, M., Cates, G. D., Chen, C., Chen, J. -P., Choi, S., Chudakov, E., Cusanno, F., Dalton, M. M., Deconinck, W., de Jager, C. W., Deng, X., Deur, A., Dutta, C., Fassi, L. El, Franklin, G. B., Friend, M., Gao, H., Garibaldi, F., Gilad, S., Gilman, R., Glamazdin, O., Golge, S., Gomez, J., Guo, L., Hansen, O., Higinbotham, D. W., Holmstrom, T., Huang, J., Hyde, C., Ibrahim, H. F., Jiang, X., Jin, G., Katich, J., Kelleher, A., Kolarkar, A., Korsch, W., Kumbartzki, G., LeRose, J. J., Lindgren, R., Liyanage, N., Long, E., Lukhanin, A., Mamyan, V., McNulty, D., Meziani, Z. -E., Michaels, R., Mihovilovič, M., Moffit, B., Muangma, N., Nanda, S., Narayan, A., Nelyubin, V., Norum, B., Nuruzzaman,, Oh, Y., Peng, J. C., Qian, X., Qiang, Y., Rakhman, A., Ransome, R. D., Riordan, S., Saha, A., Sawatzky, B., Shabestari, M. H., Shahinyan, A., Širca, S., Solvignon, P., Subedi, R., Sulkosky, V., Tobias, W. A., Troth, W., Wang, D., Wang, Y., Wojtsekhowski, B., Yan, X., Yao, H., Ye, Y., Ye, Z., Yuan, L., Zhan, X., Zhang, Y., Zhang, Y. -W., Zhao, B., & Zheng, X. Measurements of d2n and A1n: Probing the neutron spin structure. United States. doi:10.1103/PhysRevD.94.052003.
Flay, D., Posik, M., Parno, D. S., Allada, K., Armstrong, W. R., Averett, T., Benmokhtar, F., Bertozzi, W., Camsonne, A., Canan, M., Cates, G. D., Chen, C., Chen, J. -P., Choi, S., Chudakov, E., Cusanno, F., Dalton, M. M., Deconinck, W., de Jager, C. W., Deng, X., Deur, A., Dutta, C., Fassi, L. El, Franklin, G. B., Friend, M., Gao, H., Garibaldi, F., Gilad, S., Gilman, R., Glamazdin, O., Golge, S., Gomez, J., Guo, L., Hansen, O., Higinbotham, D. W., Holmstrom, T., Huang, J., Hyde, C., Ibrahim, H. F., Jiang, X., Jin, G., Katich, J., Kelleher, A., Kolarkar, A., Korsch, W., Kumbartzki, G., LeRose, J. J., Lindgren, R., Liyanage, N., Long, E., Lukhanin, A., Mamyan, V., McNulty, D., Meziani, Z. -E., Michaels, R., Mihovilovič, M., Moffit, B., Muangma, N., Nanda, S., Narayan, A., Nelyubin, V., Norum, B., Nuruzzaman,, Oh, Y., Peng, J. C., Qian, X., Qiang, Y., Rakhman, A., Ransome, R. D., Riordan, S., Saha, A., Sawatzky, B., Shabestari, M. H., Shahinyan, A., Širca, S., Solvignon, P., Subedi, R., Sulkosky, V., Tobias, W. A., Troth, W., Wang, D., Wang, Y., Wojtsekhowski, B., Yan, X., Yao, H., Ye, Y., Ye, Z., Yuan, L., Zhan, X., Zhang, Y., Zhang, Y. -W., Zhao, B., and Zheng, X. Tue . "Measurements of d2n and A1n: Probing the neutron spin structure". United States. doi:10.1103/PhysRevD.94.052003. https://www.osti.gov/servlets/purl/1320788.
@article{osti_1320788,
title = {Measurements of d2n and A1n: Probing the neutron spin structure},
author = {Flay, D. and Posik, M. and Parno, D. S. and Allada, K. and Armstrong, W. R. and Averett, T. and Benmokhtar, F. and Bertozzi, W. and Camsonne, A. and Canan, M. and Cates, G. D. and Chen, C. and Chen, J. -P. and Choi, S. and Chudakov, E. and Cusanno, F. and Dalton, M. M. and Deconinck, W. and de Jager, C. W. and Deng, X. and Deur, A. and Dutta, C. and Fassi, L. El and Franklin, G. B. and Friend, M. and Gao, H. and Garibaldi, F. and Gilad, S. and Gilman, R. and Glamazdin, O. and Golge, S. and Gomez, J. and Guo, L. and Hansen, O. and Higinbotham, D. W. and Holmstrom, T. and Huang, J. and Hyde, C. and Ibrahim, H. F. and Jiang, X. and Jin, G. and Katich, J. and Kelleher, A. and Kolarkar, A. and Korsch, W. and Kumbartzki, G. and LeRose, J. J. and Lindgren, R. and Liyanage, N. and Long, E. and Lukhanin, A. and Mamyan, V. and McNulty, D. and Meziani, Z. -E. and Michaels, R. and Mihovilovič, M. and Moffit, B. and Muangma, N. and Nanda, S. and Narayan, A. and Nelyubin, V. and Norum, B. and Nuruzzaman, and Oh, Y. and Peng, J. C. and Qian, X. and Qiang, Y. and Rakhman, A. and Ransome, R. D. and Riordan, S. and Saha, A. and Sawatzky, B. and Shabestari, M. H. and Shahinyan, A. and Širca, S. and Solvignon, P. and Subedi, R. and Sulkosky, V. and Tobias, W. A. and Troth, W. and Wang, D. and Wang, Y. and Wojtsekhowski, B. and Yan, X. and Yao, H. and Ye, Y. and Ye, Z. and Yuan, L. and Zhan, X. and Zhang, Y. and Zhang, Y. -W. and Zhao, B. and Zheng, X.},
abstractNote = {We report on the results of the E06-014 experiment performed at Jefferson Lab in Hall A, where a precision measurement of the twist-3 matrix element $d_2$ of the neutron ($d_{2}^{n}$) was conducted. This quantity represents the average color Lorentz force a struck quark experiences in a deep inelastic electron scattering event off a neutron due to its interaction with the hadronizing remnants. This color force was determined from a linear combination of the third moments of the spin structure functions $g_1$ and $g_2$ on $^{3}$He after nuclear corrections had been applied to these moments. The kinematics included two average $Q^{2}$ bins of $3.2$ GeV$^{2}$ and $4.3$ GeV$^{2}$, and Bjorken-$x$ $0.25 \leq x \leq 0.90$ covering the DIS and resonance regions. We found $d_2^n$ to be small and negative for $ = 3.2$ GeV$^{2}$, and smaller for $ = 4.3$ GeV$^{2}$, consistent with a lattice QCD calculation. The twist-4 matrix element $f_{2}^{n}$ was extracted by combining our $d_{2}^{n}$ with the world data on $\Gamma_{1}^{n} = \int_{0}^{1} g_{1}^{n} dx$. We found $f_{2}^{n}$ to be roughly an order of magnitude larger than $d_{2}^{n}$. Utilizing the extracted $d_{2}^{n}$ and $f_{2}^{n}$ data, we separated the color force into its electric and magnetic components, $F_{E}^{y,n}$ and $F_{B}^{y,n}$, and found them to be equal and opposite in magnitude, in agreement with instanton model predictions but not with those from QCD sum rules. Additionally, we have extracted the neutron virtual photon-nucleon asymmetry $A_{1}^{n}$, the structure function ratio $g_{1}^{n}/F_{1}^{n}$, and the quark ratios $(\Delta u + \Delta \bar{u})/(u + \bar{u})$ and $(\Delta d + \Delta \bar{d})/(d + \bar{d})$. Lastly, these results were found to be consistent with DIS world data and with the prediction of the constituent quark model but at odds with those of perturbative QCD at large $x$.},
doi = {10.1103/PhysRevD.94.052003},
journal = {Physical Review D},
issn = {2470-0010},
number = 5,
volume = 94,
place = {United States},
year = {2016},
month = {9}
}

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    Works referencing / citing this record:

    The spin structure of the nucleon
    journal, June 2019

    • Deur, Alexandre; Brodsky, Stanley J.; de Téramond, Guy F.
    • Reports on Progress in Physics, Vol. 82, Issue 7
    • DOI: 10.1088/1361-6633/ab0b8f

    Analysis of the neutron spin structure function g1n by using the Laplace transform technique
    journal, August 2018

    • Teimoury Azadbakht, F.; Boroun, G. R.; Rezaei, B.
    • International Journal of Modern Physics E, Vol. 27, Issue 08
    • DOI: 10.1142/s0218301318500714

    The spin structure of the nucleon
    journal, June 2019

    • Deur, Alexandre; Brodsky, Stanley J.; de Téramond, Guy F.
    • Reports on Progress in Physics, Vol. 82, Issue 7
    • DOI: 10.1088/1361-6633/ab0b8f

    Analysis of the neutron spin structure function g1n by using the Laplace transform technique
    journal, August 2018

    • Teimoury Azadbakht, F.; Boroun, G. R.; Rezaei, B.
    • International Journal of Modern Physics E, Vol. 27, Issue 08
    • DOI: 10.1142/s0218301318500714