Access by Xinjiang University

General positivity bounds for spin observables in single particle inclusive production

Zhong-Bo Kang^1,* and Jacques Soffer^2,†

¹RIKEN BNL Research Center, Brookhaven National Laboratory, Upton, New York 11973, USA
²Physics Department, Barton Hall, Temple University, Philadelphia, Pennsylvania 19122, USA

^*zkang@bnl.gov
^†jacques.soffer@gmail.com

Phys. Rev. D 83, 114020 – Published 8 June, 2011

DOI: https://doi.org/10.1103/PhysRevD.83.114020

Abstract

Positivity constraints, derived initially assuming parity conservation, for the inclusive reaction of the type $A (spin 1 / 2) + B (spin 1 / 2) \to C + X$ , where the spins of both initial $spin − 1 / 2$ particles can be in any possible directions and no polarization is observed in the final state, are generalized to the case of parity violation. By means of a systematic method, we obtain nontrivial bounds involving all the spin observables of the reaction and we discuss some relevant physics processes. Particularly, we discover a nontrivial positivity constraint for the processes $p p \to W^{\pm} / Z^{0} + X$ or $p p \to ℓ^{\pm} + X$ where $ℓ^{\pm}$ decayed from $W^{\pm} / Z^{0}$ , which could be checked at the ongoing longitudinal spin program at Relativistic Heavy Ion Collider.

Article Text

References (29)

X. Artru, M. Elchikh, J. M. Richard, J. Soffer, and O. V. Teryaev, Phys. Rep. 470, 1 (2009).
J. Soffer, Phys. Rev. Lett. 91, 092005 (2003).
Z. B. Kang and J. Soffer, Phys. Lett. B 695, 275 (2011).
Z. B. Kang and J. W. Qiu, Phys. Rev. Lett. 103, 172001 (2009).
Z. B. Kang and J. W. Qiu, Phys. Rev. D 81, 054020 (2010).
M. Anselmino et al., Eur. Phys. J. A 39, 89 (2008).
M. Anselmino, M. Boglione, U. D’Alesio, S. Melis, F. Murgia, and A. Prokudin, Phys. Rev. D 79, 054010 (2009).
L. Gamberg and Z. B. Kang, Phys. Lett. B 696, 109 (2011).
Z. B. Kang, J. W. Qiu, W. Vogelsang, and F. Yuan, Phys. Rev. D 83, 094001 (2011).
G. Bunce, N. Saito, J. Soffer, and W. Vogelsang, Annu. Rev. Nucl. Part. Sci. 50, 525 (2000).
G. Bunce et al., “Plans for the RHIC Spin Physics Program,” 2008, see: spin.riken.bnl.gov/rsc.
C. Bourrely and J. Soffer, Phys. Lett. B 314, 132 (1993).
C. Bourrely and J. Soffer, Nucl. Phys. B423, 329 (1994).
G. R. Goldstein and J. F. Owens, Nucl. Phys. B103, 145 (1976).
T. Gehrmann, Nucl. Phys. B534, 21 (1998).
D. de Florian and W. Vogelsang, Phys. Rev. D 81, 094020 (2010).
C. von Arx and T. Gehrmann, arXiv:1103.1465.
C. Bourrely, J. Soffer, and F. Buccella, Eur. Phys. J. C 23, 487 (2002).
M. Gluck, E. Reya, M. Stratmann, and W. Vogelsang, Phys. Rev. D 63, 094005 (2001).
M. Hirai and S. Kumano (Asymmetry Analysis Collaboration), Nucl. Phys. B813, 106 (2009).
D. de Florian, R. Sassot, M. Stratmann, and W. Vogelsang, Phys. Rev. Lett. 101, 072001 (2008).
D. de Florian, R. Sassot, M. Stratmann, and W. Vogelsang, Phys. Rev. D 80, 034030 (2009).
E. Leader, A. V. Sidorov, and D. B. Stamenov, Phys. Rev. D 82, 114018 (2010).
M. Gluck, E. Reya, and A. Vogt, Eur. Phys. J. C 5, 461 (1998).
A. D. Martin, R. G. Roberts, W. J. Stirling, and R. S. Thorne, Eur. Phys. J. C 28, 455 (2003).
M. M. Aggarwal et al. (STAR Collaboration), Phys. Rev. Lett. 106, 062002 (2011).
A. Adare et al. (PHENIX Collaboration), Phys. Rev. Lett. 106, 062001 (2011).
M. Anselmino, P. Gambino, and J. Kalinowski, Z. Phys. C 64, 267 (1994).
P. Taxil, E. Tugcu, and J. M. Virey, Eur. Phys. J. C 14, 165 (2000).

Physical Review D

Export citation

Export citation

General positivity bounds for spin observables in single particle inclusive production

Abstract

Article Text

References (29)

Outline

Information

Filter

Filter

Article Lookup

Enter a citation