Meson-meson Scattering in Hadronic Matter

Abstract

We have established a quark-interchange model and have proposed a quark-antiquark annihilation model to study meson-meson scattering. From QCD we obtain a temperature-dependent quark potential. The transition potential corresponding to quark-antiquark annihilation and creation is derived in perturbative QCD. The experimental ground-state meson masses are reproduced and the experimental data of elastic phase shifts for ππ scattering near the threshold energy in vacuum can be accounted for in the Born approximation. Starting from S-matrix element, we derive the transition amplitude and the cross section for the scattering. Unpolarised cross sections for reactions involving π, ρ, K and K^* are calculated. Remarkable temperature dependence of the cross sections is found.
- inelastic meson-meson scattering,
- quark interchange,
- quark-antiquark annihilation and creation

References

[1]	LI Y Q, XU X M. Nucl Phys A, 2007, 794:210.
[2]	SHEN Z Y, XU X M. J Korean Phys Soc, 2015, 66:754.
[3]	SHEN Z Y, XU X M, WEBER H J. Phys Rev D, 2016, 94:034030.
[4]	YANG K, XU X M, WEBER H J. arXiv:1708.03062.
[5]	BARNES T, SWANSON E S. Phys Rev D, 1992, 46:131.
[6]	SWANSON E S. Ann Phys (N Y), 1992, 220:73.
[7]	BARNES T, SWANSON E S, WEINSTEIN J. Phys Rev D, 1992, 46:4868.
[8]	BARNES T, BLACK N, SWANSON E S. Phys Rev C, 2001, 63:025204.
[9]	ZHANG Y P, XU X M, GE H J. Nucl Phys A, 2010, 832:112.
[10]	BUCHMÜLLER W, TYE S H H. Phys Rev D, 1981, 24:132.
[11]	XU X M. Nucl Phys A, 2002, 697:825.
[12]	ZHOU J, XU X M. Phys Rev C, 2012, 85:064904.
[13]	KARSCH F, LAERMANN E, PEIKERT A. Nucl Phys B, 2001, 605:579.
[14]	BROWN G E, KO C M, WU Z G, et al. Phys Rev C, 1991, 43:1881.

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沈阳化工大学材料科学与工程学院沈阳 110142

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Meson-meson Scattering in Hadronic Matter

doi: 10.11804/NuclPhysRev.34.03.563

XU Xiaoming

Department of Physics, Shanghai University, Shanghai 200444

Funds: National Natural Science Foundation of China (11175111)

Received Date: 2016-12-08
Rev Recd Date: 2017-04-25
Publish Date: 2017-07-18

Key words:

inelastic meson-meson scattering /
quark interchange /
quark-antiquark annihilation and creation

Abstract: We have established a quark-interchange model and have proposed a quark-antiquark annihilation model to study meson-meson scattering. From QCD we obtain a temperature-dependent quark potential. The transition potential corresponding to quark-antiquark annihilation and creation is derived in perturbative QCD. The experimental ground-state meson masses are reproduced and the experimental data of elastic phase shifts for ππ scattering near the threshold energy in vacuum can be accounted for in the Born approximation. Starting from S-matrix element, we derive the transition amplitude and the cross section for the scattering. Unpolarised cross sections for reactions involving π, ρ, K and K^* are calculated. Remarkable temperature dependence of the cross sections is found.

XU Xiaoming. Meson-meson Scattering in Hadronic Matter[J]. Nuclear Physics Review, 2017, 34(3): 563-568. doi: 10.11804/NuclPhysRev.34.03.563

Citation:

XU Xiaoming. Meson-meson Scattering in Hadronic Matter[J]. Nuclear Physics Review, 2017, 34(3): 563-568. doi: 10.11804/NuclPhysRev.34.03.563

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Reference (14)

[1]	LI Y Q, XU X M. Nucl Phys A, 2007, 794:210.
[2]	SHEN Z Y, XU X M. J Korean Phys Soc, 2015, 66:754.
[3]	SHEN Z Y, XU X M, WEBER H J. Phys Rev D, 2016, 94:034030.
[4]	YANG K, XU X M, WEBER H J. arXiv:1708.03062.
[5]	BARNES T, SWANSON E S. Phys Rev D, 1992, 46:131.
[6]	SWANSON E S. Ann Phys (N Y), 1992, 220:73.
[7]	BARNES T, SWANSON E S, WEINSTEIN J. Phys Rev D, 1992, 46:4868.
[8]	BARNES T, BLACK N, SWANSON E S. Phys Rev C, 2001, 63:025204.
[9]	ZHANG Y P, XU X M, GE H J. Nucl Phys A, 2010, 832:112.
[10]	BUCHMÜLLER W, TYE S H H. Phys Rev D, 1981, 24:132.
[11]	XU X M. Nucl Phys A, 2002, 697:825.
[12]	ZHOU J, XU X M. Phys Rev C, 2012, 85:064904.
[13]	KARSCH F, LAERMANN E, PEIKERT A. Nucl Phys B, 2001, 605:579.
[14]	BROWN G E, KO C M, WU Z G, et al. Phys Rev C, 1991, 43:1881.