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Amplitude of Elastic Scattering for the Region of Large Impact Parameters

Year 2019, , 79 - 86, 22.03.2019
https://doi.org/10.17776/csj.512886

Abstract

The work is dedicated to consequences of analyticity and unitarity of
the scattering amplitude.  Using the
Gaussian quasipotential an equation for the scattering amplitude matrix is
obtained and formula is derived for the cross sections. The dependence of the
cross section and ratio of the real part of the amplitude in the forward
scattering to its imaginary part of on the momentum are discussed. The steep
Gaussian peak for cross section at small angles is followed by the exponential
(Orear) regime. Results from theoretical approach are compared with
experimental data.

References

  • [1]. C.A. Bertulani and G. Baur, N. Ph, 1988, A 480, 615- 628.
  • [2]. N. P. Zotov, V. A. Tsarev, Sov. Phys.Uspekhi, 1988, 31 (2), 119–139.
  • [3]. D. Kiang, S.H Ling, K.Young, C.S. Lam, Phys.Rev. D, 1985, 31-35.
  • [4]. A.A. Logunov and A.N. Tavkhelidze, Nuovo Cim. 1963, 29, (2), 380-399.
  • [5]. Yu.D. Chernichenko Physics of Atomic Nuclei, 2015, Vol. 78, (2), 201–214.
  • [6]. W. Ulmer. Jour Proton Ther. 2015;1:117. DOI: http://dx.doi.org/10.14319/jpt.11.7
  • [7]. Bartók-Pártay, DOI: 10.1007/978-3-642-14067-9,7, Springer-Verlag Berlin Heidelberg, 2010, p. 83.
  • [8]. S.G. Abdulvahabova, E.A. Rasulov, Proceeding of International workshop “Quantum particles, fields and strings” Fizika, 2002, (3), 83- 85.
  • [9]. H.S. Hans. Nuclear Physics: Experimental and Theoretical. New Age Pulisher, 2001, p.787
  • [10]. N. P. Zotov, S.V. Rusakov, V. A. Tsarev. PEPAN, 1980, V.11(5), 1160-1223.
  • [11]. Ryan B. Norman, Frank Dick, John W. Norbury and Steve R. Blattnig. Differential Cross Sections for Proton-Proton Elastic Scattering NASA/TP, 2009, 215565, p. 87.
  • [12]. G.D. Alkhazov, S.L. Belostotsky, A.A. Vorobiev. Scattering of protons by light nuclei. Preprint LINP-449, 1978, p. 11.
  • [13]. A. Martin, Phys. Rev. D, 2009, 80, 065013.
  • [14]. I. M. Dremin, Uspekhi Fizicheskikh Nauk, 2013, 183 (1), 3-32.

Büyük Etki Parametreleri Bölgesi İçin Elastik Saçılma Genliği

Year 2019, , 79 - 86, 22.03.2019
https://doi.org/10.17776/csj.512886

Abstract

Bu çalışmada, saçılma genliğinin analitikliğinin ve
uniterliğinin gerekliliği incelenmiştir. Gaussiyen yarı-potential kullanılarak,
saçılma genliği matrisi için bir denklem elde edilmiş ve tesir kesitleri için
bir formül elde edilmiştir. Tesir kesitin bağımlılığı ve ileri saçılmadaki
genliğin gerçel bölümünün momentum üzerindeki sanal kısmına oranı
tartışılmıştır.  Küçük açılarda tesir
kesiti için dik Gaussiyen zirveyi üstel (Orear) rejim takip eder. Teorik
yaklaşımdan elde edilen sonuçlar deneysel veriler ile karşılaştırılmıştır
.

References

  • [1]. C.A. Bertulani and G. Baur, N. Ph, 1988, A 480, 615- 628.
  • [2]. N. P. Zotov, V. A. Tsarev, Sov. Phys.Uspekhi, 1988, 31 (2), 119–139.
  • [3]. D. Kiang, S.H Ling, K.Young, C.S. Lam, Phys.Rev. D, 1985, 31-35.
  • [4]. A.A. Logunov and A.N. Tavkhelidze, Nuovo Cim. 1963, 29, (2), 380-399.
  • [5]. Yu.D. Chernichenko Physics of Atomic Nuclei, 2015, Vol. 78, (2), 201–214.
  • [6]. W. Ulmer. Jour Proton Ther. 2015;1:117. DOI: http://dx.doi.org/10.14319/jpt.11.7
  • [7]. Bartók-Pártay, DOI: 10.1007/978-3-642-14067-9,7, Springer-Verlag Berlin Heidelberg, 2010, p. 83.
  • [8]. S.G. Abdulvahabova, E.A. Rasulov, Proceeding of International workshop “Quantum particles, fields and strings” Fizika, 2002, (3), 83- 85.
  • [9]. H.S. Hans. Nuclear Physics: Experimental and Theoretical. New Age Pulisher, 2001, p.787
  • [10]. N. P. Zotov, S.V. Rusakov, V. A. Tsarev. PEPAN, 1980, V.11(5), 1160-1223.
  • [11]. Ryan B. Norman, Frank Dick, John W. Norbury and Steve R. Blattnig. Differential Cross Sections for Proton-Proton Elastic Scattering NASA/TP, 2009, 215565, p. 87.
  • [12]. G.D. Alkhazov, S.L. Belostotsky, A.A. Vorobiev. Scattering of protons by light nuclei. Preprint LINP-449, 1978, p. 11.
  • [13]. A. Martin, Phys. Rev. D, 2009, 80, 065013.
  • [14]. I. M. Dremin, Uspekhi Fizicheskikh Nauk, 2013, 183 (1), 3-32.
There are 14 citations in total.

Details

Primary Language English
Journal Section Natural Sciences
Authors

Sajida G. Abdulvahabova 0000-0002-7077-6862

N.sh. Barkhalova

T.o. Bayramova

Publication Date March 22, 2019
Submission Date May 31, 2018
Acceptance Date October 7, 2018
Published in Issue Year 2019

Cite

APA Abdulvahabova, S. G., Barkhalova, N., & Bayramova, T. (2019). Amplitude of Elastic Scattering for the Region of Large Impact Parameters. Cumhuriyet Science Journal, 40(1), 79-86. https://doi.org/10.17776/csj.512886