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.
Keywords
scattering amplitude unitarity cross section impact parameter Quasipotential impact parameter
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.
Abstract
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.
Details
| Primary Language | English |
|---|---|
| Journal Section | Natural Sciences |
| Authors | |
| Publication Date | March 22, 2019 |
| Submission Date | May 31, 2018 |
| Acceptance Date | October 7, 2018 |
| Published in Issue | Year 2019Volume: 40 Issue: 1 |