Nuclear shadowing in a parton recombination model

S. Kumano

doi:10.1103/PhysRevC.48.2016

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Nuclear shadowing in a parton recombination model

S. Kumano

Institut für Kernphysik, Universität Mainz, 6500 Mainz, Germany
Nuclear Theory Center, Indiana University, Bloomington, Indiana 47408

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Phys. Rev. C 48, 2016 – Published 1 October, 1993

DOI: https://doi.org/10.1103/PhysRevC.48.2016

Abstract

Deep-inelastic structure functions $F_{2}^{A}$ (x) are investigated in a $Q^{2}$ rescaling model with parton recombination effects. We find that the model can explain experimentally measured $F_{2}^{A}$ (x) structure functions reasonably well in the wide Bjorken-x range (0.005<x<0.8). In the very small x region (x<0.02), recombination results are very sensitive to input sea-quark and gluon distributions.

References (36)

EMC, J. J. Aubert et al., Phys. Lett. 123B, 275 (1983).
F. E. Close, R. G. Roberts and G. G. Ross, Phys. Lett. 129B, 346 (1983); Nucl. Phys. B296, 582 (1988) F. E. Close, R. L. Jaffe, R. G. Roberts and G. G. Ross, Phys. Rev. D 31, 1004 (1985).
E. L. Berger and F. Coester, Annu. Rev. Nucl. Part. Sci. 37, 463 (1987); R. P. Bickerstaff and A. W. Thomas, J. Phys. G 15, 1523 (1989); R. P. Bickerstaff, M. C. Birse and G. A. Miller, Phys. Rev. D 33, 3228 (1986).
E772 Collaboration, D. M. Alde et al., Phys. Rev. Lett. 64, 2479 (1990); A. Magnon, talk given at the workshop on Baryon Spectroscopy and the Structure of the Nucleon, Saclay, France, 1991 (unpublished).
S. Kumano and F. E. Close, Phys. Rev. C 41, 1855 (1990).
S. Kumano, Indiana University Report No. IU/NTC-92-02 (unpublished); talk given at the 13th International Conference on Few Body Problems in Physics, Adelaide, Australia, 1992; in Proceedings of the International Workshop on Gross Properties of Nuclei and Nuclear Excitations, Hirschegg, Austria, 1992, edited by H. Feldmeier (in press).
T. de Forest and P. J. Mulders, Phys. Rev. D 35, 2849 (1987); S. Kumano and E. J. Moniz, Phys. Rev. C 37, 2088 (1988).
NMC, P. Amaudruz et al., Z. Phys. C 51, 387 (1991); M. van der Heijden, Ph.D. thesis, University of Amsterdam, 1991 (unpublished); M. A. J. Botje and C. Scholz, in Intersections Between Particle and Nuclear Physics, edited by W. T. H. van Oers (American Institute of Physics, New York, 1991).
E665 Collaboration, M. R. Adams et al., Phys. Rev. Lett. 68, 3266 (1992); D. E. Jaffe, in Intersections Between Particle and Nuclear Physics, edited by W. T. H. van Oers (American Institute of Physics, New York, 1991); C. W. Salgado, talk given at the workshop on High Energy Probes of QCD and Nuclei, University Park, Pennsylvania, 1992 (unpublished).
EMC, M. Arneodo et al., Nucl. Phys. B333, 1 (1990); , Phys. Lett. B 211, 493 (1988).
For recent investigations on the vector-meson dominance model, see C. L. Bilchak, D. Schildknecht and J. D. Stroughair, Phys. Lett. B 214, 441 (1988); ibid. 233, 461 (1989); G. Shaw, ibid 228, 125 (1989); G. Piller and W. Weise, Phys. Rev. C 42, R1834 (1990).
N. N Nicolaev and V. I. Zakharov, Phys. Lett. 55B, 397 (1975).
A. H. Mueller and J. Qiu, Nucl. Phys. B268, 427 (1986); J. Qiu, ibid. B291, 746 (1987); E. L. Berger and J. Qiu, Phys. Lett. B 206, 141 (1988).
F. E. Close and R. G. Roberts, Phys. Lett. B 213, 91 (1988).
R. J. M. Covolan and E. Predazzi, Nuovo Cimento 103A, 773 (1990); W. Zhu and J. G. Shen, Phys. Lett. B 235, 170 (1990); , J. Phys. G 16, 925 (1990) G. Li, Z. Cao and C. Zhong, Nucl. Phys. A509, 757 (1990); M. Altmann, M. Glück and E. Reya, Phys. Lett. B 285, 359 (1992).
L. L. Frankfurt, S. Liuti, and M. I. Strikman (unpublished); S. Liuti (personal communication); V. Barone et al., Report No. KFA-IKP(TH)-1992-13.
F. E. Close, J. Qiu and R. G. Roberts, Phys. Rev. D 40, 2820 (1989).
L. L. Frankfurt and M. I. Strikman, Phys. Rep. 160, 235 (1988); Nucl. Phys. B316, 340 (1989) L. L. Frankfurt, M. I. Strikman and S. Liuti, Phys. Rev. Lett. 65, 1725 (1990); S. J. Brodsky and H. J. Lu, ibid. 64, 1342 (1990); N. N. Nikolaev and B. G. Zakharov, Phys. Lett. B 260, 414 (1991); Z. Phys. C 49, 607 (1991) V. R. Zoller, ibid 53, 443 (1992); Phys. Lett. B 279, 145 (1992).
P. Castorina and A. Donnachie, Phys. Lett. B 215, 589 (1988); Z. Phys. C 45, 141 (1989) J. Kwiecinski, ibid 45, 461 (1990).
G. Preparata and P. G. Ratcliffe, Report No. MITH91-13.
J. Kwiecinski and B. Badelek, Phys. Lett. B 208, 508 (1988); B. Badelek and J. Kwiecinski, Nucl. Phys. B370, 278 (1992); W. Melnitchouk and A. W. Thomas, Phys. Rev. D 47, 3783 (1993).
See Refs. [13] and [17] for obtaining the expression of K.
R. C. Barrett and D. F. Jackson, Nuclear Sizes and Structure (Clarendon, Oxford, 1977).
G. Altarelli and G. Parisi, Nucl. Phys. B126, 298 (1977); in deriving Eq. (2), we should note a factor of 2 coming from averages over initial spin states.
F. J. Yndura`in, Quantum Chromodynamics (Springer-Verlag, New York, 1983).
J. P. Ralston, Phys. Lett. B 172, 430 (1986).
For a recent summary of experimental data for deep-inelastic scatterings, see R. G. Roberts and M. R. Whally, J. Phys. G 17, D1 (1991).
R. G. Arnold et al., Phys. Rev. Lett. 52, 727 (1984).
EMC, J. Ashman et al., Phys. Lett. B 202, 603 (1988).
C. H. Llewellyn Smith, in Proceedings of the Tenth International Conference on Particles and Nuclei, Heidelberg, Germany, 1984, edited by B. Povh and G. Zu Putlite [Nucl. Phys. A434, 35c (1985)].
A. D. Martin, R. G. Roberts and W. J. Stirling, Phys. Rev. D 37, 1161 (1988).
J. Kwiecinski, A. D. Martin, W. J. Stirling and R. G. Roberts, Phys. Rev. D 42, 3645 (1990).
R. P. Bickerstaff and G. A. Miller, Phys. Lett. 168B, 409 (1986).
S. Kumano and J. T. Londergan, Comput. Phys. Commun. 69, 373 (1992).
J. Qiu (personal communications); using K[ $p_{1}$ ( $x_{1}$ ) $p_{2}$ ( $x_{2}$ ) + $p_{1}$ ( $x_{2}$ ) $p_{2}$ ( $x_{1}$ )] oprarrow 2K $p_{1}$ ( $x_{1}$ ) $p_{2}$ ( $x_{2}$ ) in Eqs. (A3c) and (A3d), we obtain Eq. (24) of Ref. [17] from Eqs. (A3a)–(A3d) with $x_{1}$ <-> $x_{2}$ in the last integral of Eq. (A3b).
S. Kumano, Phys. Lett. B 298, 171 (1993); this paper is based on the model in Sec. III.

[c1] EMC, J. J. Aubert et al., Phys. Lett. 123B, 275 (1983).

[c2] F. E. Close, R. G. Roberts and G. G. Ross, Phys. Lett. 129B, 346 (1983); Nucl. Phys. B296, 582 (1988) F. E. Close, R. L. Jaffe, R. G. Roberts and G. G. Ross, Phys. Rev. D 31, 1004 (1985).

[c3] E. L. Berger and F. Coester, Annu. Rev. Nucl. Part. Sci. 37, 463 (1987); R. P. Bickerstaff and A. W. Thomas, J. Phys. G 15, 1523 (1989); R. P. Bickerstaff, M. C. Birse and G. A. Miller, Phys. Rev. D 33, 3228 (1986).

[c4] E772 Collaboration, D. M. Alde et al., Phys. Rev. Lett. 64, 2479 (1990); A. Magnon, talk given at the workshop on Baryon Spectroscopy and the Structure of the Nucleon, Saclay, France, 1991 (unpublished).

[c5] S. Kumano and F. E. Close, Phys. Rev. C 41, 1855 (1990).

[c6] S. Kumano, Indiana University Report No. IU/NTC-92-02 (unpublished); talk given at the 13th International Conference on Few Body Problems in Physics, Adelaide, Australia, 1992; in Proceedings of the International Workshop on Gross Properties of Nuclei and Nuclear Excitations, Hirschegg, Austria, 1992, edited by H. Feldmeier (in press).

[c7] T. de Forest and P. J. Mulders, Phys. Rev. D 35, 2849 (1987); S. Kumano and E. J. Moniz, Phys. Rev. C 37, 2088 (1988).

[c8] NMC, P. Amaudruz et al., Z. Phys. C 51, 387 (1991); M. van der Heijden, Ph.D. thesis, University of Amsterdam, 1991 (unpublished); M. A. J. Botje and C. Scholz, in Intersections Between Particle and Nuclear Physics, edited by W. T. H. van Oers (American Institute of Physics, New York, 1991).

[c9] E665 Collaboration, M. R. Adams et al., Phys. Rev. Lett. 68, 3266 (1992); D. E. Jaffe, in Intersections Between Particle and Nuclear Physics, edited by W. T. H. van Oers (American Institute of Physics, New York, 1991); C. W. Salgado, talk given at the workshop on High Energy Probes of QCD and Nuclei, University Park, Pennsylvania, 1992 (unpublished).

[c10] EMC, M. Arneodo et al., Nucl. Phys. B333, 1 (1990); , Phys. Lett. B 211, 493 (1988).

[c11] For recent investigations on the vector-meson dominance model, see C. L. Bilchak, D. Schildknecht and J. D. Stroughair, Phys. Lett. B 214, 441 (1988); ibid. 233, 461 (1989); G. Shaw, ibid 228, 125 (1989); G. Piller and W. Weise, Phys. Rev. C 42, R1834 (1990).

[c12] N. N Nicolaev and V. I. Zakharov, Phys. Lett. 55B, 397 (1975).

[c13] A. H. Mueller and J. Qiu, Nucl. Phys. B268, 427 (1986); J. Qiu, ibid. B291, 746 (1987); E. L. Berger and J. Qiu, Phys. Lett. B 206, 141 (1988).

[c14] F. E. Close and R. G. Roberts, Phys. Lett. B 213, 91 (1988).

[c15] R. J. M. Covolan and E. Predazzi, Nuovo Cimento 103A, 773 (1990); W. Zhu and J. G. Shen, Phys. Lett. B 235, 170 (1990); , J. Phys. G 16, 925 (1990) G. Li, Z. Cao and C. Zhong, Nucl. Phys. A509, 757 (1990); M. Altmann, M. Glück and E. Reya, Phys. Lett. B 285, 359 (1992).

[c16] L. L. Frankfurt, S. Liuti, and M. I. Strikman (unpublished); S. Liuti (personal communication); V. Barone et al., Report No. KFA-IKP(TH)-1992-13.

[c17] F. E. Close, J. Qiu and R. G. Roberts, Phys. Rev. D 40, 2820 (1989).

[c18] L. L. Frankfurt and M. I. Strikman, Phys. Rep. 160, 235 (1988); Nucl. Phys. B316, 340 (1989) L. L. Frankfurt, M. I. Strikman and S. Liuti, Phys. Rev. Lett. 65, 1725 (1990); S. J. Brodsky and H. J. Lu, ibid. 64, 1342 (1990); N. N. Nikolaev and B. G. Zakharov, Phys. Lett. B 260, 414 (1991); Z. Phys. C 49, 607 (1991) V. R. Zoller, ibid 53, 443 (1992); Phys. Lett. B 279, 145 (1992).

[c19] P. Castorina and A. Donnachie, Phys. Lett. B 215, 589 (1988); Z. Phys. C 45, 141 (1989) J. Kwiecinski, ibid 45, 461 (1990).

[c20] G. Preparata and P. G. Ratcliffe, Report No. MITH91-13.

[c21] J. Kwiecinski and B. Badelek, Phys. Lett. B 208, 508 (1988); B. Badelek and J. Kwiecinski, Nucl. Phys. B370, 278 (1992); W. Melnitchouk and A. W. Thomas, Phys. Rev. D 47, 3783 (1993).

[c22] See Refs. [13] and [17] for obtaining the expression of K.

[c23] R. C. Barrett and D. F. Jackson, Nuclear Sizes and Structure (Clarendon, Oxford, 1977).

[c24] G. Altarelli and G. Parisi, Nucl. Phys. B126, 298 (1977); in deriving Eq. (2), we should note a factor of 2 coming from averages over initial spin states.

[c25] F. J. Yndura`in, Quantum Chromodynamics (Springer-Verlag, New York, 1983).

[c26] J. P. Ralston, Phys. Lett. B 172, 430 (1986).

[c27] For a recent summary of experimental data for deep-inelastic scatterings, see R. G. Roberts and M. R. Whally, J. Phys. G 17, D1 (1991).

[c28] R. G. Arnold et al., Phys. Rev. Lett. 52, 727 (1984).

[c29] EMC, J. Ashman et al., Phys. Lett. B 202, 603 (1988).

[c30] C. H. Llewellyn Smith, in Proceedings of the Tenth International Conference on Particles and Nuclei, Heidelberg, Germany, 1984, edited by B. Povh and G. Zu Putlite [Nucl. Phys. A434, 35c (1985)].

[c31] A. D. Martin, R. G. Roberts and W. J. Stirling, Phys. Rev. D 37, 1161 (1988).

[c32] J. Kwiecinski, A. D. Martin, W. J. Stirling and R. G. Roberts, Phys. Rev. D 42, 3645 (1990).

[c33] R. P. Bickerstaff and G. A. Miller, Phys. Lett. 168B, 409 (1986).

[c34] S. Kumano and J. T. Londergan, Comput. Phys. Commun. 69, 373 (1992).

[c35] J. Qiu (personal communications); using K[ $p_{1}$ ( $x_{1}$ ) $p_{2}$ ( $x_{2}$ ) + $p_{1}$ ( $x_{2}$ ) $p_{2}$ ( $x_{1}$ )] oprarrow 2K $p_{1}$ ( $x_{1}$ ) $p_{2}$ ( $x_{2}$ ) in Eqs. (A3c) and (A3d), we obtain Eq. (24) of Ref. [17] from Eqs. (A3a)–(A3d) with $x_{1}$ <-> $x_{2}$ in the last integral of Eq. (A3b).

[c36] S. Kumano, Phys. Lett. B 298, 171 (1993); this paper is based on the model in Sec. III.

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Nuclear shadowing in a parton recombination model

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