Research PapersNo Access

Asymptotic of the deuteron wave function in the coordinate representation and the charge deuteron form factor at large momentums

Department of Theoretical Physics, Uzhgorod National University, 54, Voloshyna Street, Uzhgorod UA-88000, Ukraine

https://doi.org/10.1142/S0217732321500851Cited by:0 (Source: Crossref)

Abstract

Numerical modeling of the deuteron wave function in the coordinate representation for the phenomenological nucleon–nucleon potential Argonne v18 has been performed. For this purpose, the asymptotic behavior of the radial wave function has been taken into account near the origin of coordinates and at infinity. The charge deuteron form factor $G_{C} (p)$ , depending on the transmitted momentums up to $p = 22 {fm}^{- 1}$ , has been calculated employing five models for the deuteron wave function. A characteristic difference in calculations of $G_{C}$ is observed near the positions of the first and second zero. The difference between the obtained values for $G_{C}$ form factor has been analyzed using the values of the ratios and differences for the results. Obtained outcomes for charge deuteron form factor at large momentums may be a prediction for future experimental data.

Keywords:

PACS: 13.40.Gp, 13.88.+e, 21.45.Bc, 03.65.Nk

References

1. M. Garcon and J. W. van Orden, Adv. Nucl. Phys. 26, 293 (2001). Crossref, Google Scholar
2. R. Gilman and F. Gross, J. Phys. G. 28, R37 (2002). Crossref, Web of Science, ADS, Google Scholar
3. D. K. Hasell et al., Annu. Rev. Nucl. Part. Sci. 61, 409 (2011). Crossref, Web of Science, ADS, Google Scholar
4. V. P. Ladygin et al., Eur. Phys. J. A 8, 409 (2000). Crossref, Web of Science, ADS, Google Scholar
5. G. I. Gakh, M. I. Konchatnij and N. P. Merenkov, J. Exp. Theor. Phys. 115, 212 (2012). Crossref, Web of Science, ADS, Google Scholar
6. Y. Wada et al., Few-Body Syst. 54, 1335 (2013). Crossref, Web of Science, ADS, Google Scholar
7. V. I. Zhaba, Mod. Phys. Lett. A 33, 1850160 (2018). Link, Web of Science, ADS, Google Scholar
8. R. Machleidt, Phys. Rev. C 63, 024001 (2001). Crossref, Web of Science, ADS, Google Scholar
9. V. I. Kukulin et al., Phys. Rev. C 57, 535 (1998). Crossref, Web of Science, ADS, Google Scholar
10. I. Haysak and V. Zhaba, Visnyk Lviv Univ. Ser. Phys. 44, 8 (2009). Google Scholar
11. M. P. Valderrama et al., Eur. Phys. J. A 36, 315 (2008). Crossref, Web of Science, ADS, Google Scholar
12. V. A. Knyr, V. G. Neudatchin and N. A. Khokhlov, Phys. At. Nucl. 69, 2034 (2006). Crossref, Web of Science, Google Scholar
13. L. Platter and D. R. Phillips, Phys. Lett. B 641, 164 (2006). Crossref, Web of Science, ADS, Google Scholar
14. A. F. Krutov, V. E. Troitsky and N. A. Tsirova, Theor. Phys. 6, 71 (2005). Google Scholar
15. E. Tomasi-Gustafsson, G. I. Gakh and C. Adamuscin, Phys. Rev. C 73, 045204 (2006). Crossref, Web of Science, ADS, Google Scholar
16. T. Gutsche, V. E. Lyubovitskij and I. Schmidt, Phys. Rev. D 94, 116006 (2016). Crossref, Web of Science, ADS, Google Scholar
17. S. J. Brodsky and J. R. Hiller, Phys. Rev. D 46, 2141 (1992). Crossref, Web of Science, ADS, Google Scholar
18. V. V. Burov et al., Z. Phys. A 306, 149 (1982). Crossref, ADS, Google Scholar
19. V. A. Matveev, R. M. Muradyan and A. N. Tavkhelidze, Lett. Nuovo Cimento 7, 719 (1973). Crossref, Web of Science, Google Scholar
20. L. E. Marcucci et al., J. Phys. G 43, 023002 (2016). Crossref, Web of Science, Google Scholar
21. D. Abbott et al., Eur. Phys. J. A 7, 421 (2000). Crossref, Web of Science, ADS, Google Scholar
22. C. E. Carlson and M. Vanderhaeghen, Eur. Phys. J. A 41, 1 (2009). Crossref, Web of Science, ADS, Google Scholar
23. G. I. Gakh et al., Phys. Rev. C 98, 045212 (2018). Crossref, Web of Science, ADS, Google Scholar
24. R. B. Wiringa, V. G. J. Stoks and R. Schiavilla, Phys. Rev. C 51, 38 (1995). Crossref, Web of Science, ADS, Google Scholar
25. V. I. Zhaba, arXiv:nucl-th/1706.08306. Google Scholar
26. J. M. Blatt and V. F. Weisskopf, Theoretical Nuclear Physics (Wiley, 1958). Google Scholar
27. T. W. Donnelly and A. S. Raskin, Ann. Phys. (N. Y.) 169, 247 (1986). Crossref, Web of Science, ADS, Google Scholar
28. M. N. Rosenbluth, Phys. Rev. 79, 615 (1950). Crossref, Web of Science, ADS, Google Scholar
29. D. Benaksas, D. Drickey and D. Frerejacque, Phys. Rev. 148, 1327 (1966). Crossref, Web of Science, ADS, Google Scholar
30. I. The et al., Phys. Rev. Lett. 67, 173 (1991). Crossref, Web of Science, ADS, Google Scholar
31. M. Garcon et al., Phys. Rev. C 49, 2516 (1994). Crossref, Web of Science, ADS, Google Scholar
32. D. Abbott et al., Phys. Rev. Lett. 84, 5053 (2000). Crossref, Web of Science, ADS, Google Scholar
33. M. Bouwhuis et al., Phys. Rev. Lett. 82, 3755 (1999). Crossref, Web of Science, ADS, Google Scholar
34. D. M. Nikolenko et al., Phys. Rev. Lett. 90, 072501 (2003). Crossref, Web of Science, ADS, Google Scholar
35. D. M. Nikolenko et al., Phys. At. Nucl. 73, 1322 (2010). Crossref, Web of Science, Google Scholar
36. S. A. Zevakov et al., Elastic and inelastic electron scattering on tensor polarized deuteron, preprint IJD 2006-024, Novosibirsk (2006). Google Scholar
37. M. Kohl, Nucl. Phys. A 805, 361c (2008). Crossref, Web of Science, ADS, Google Scholar
38. C. Zhang et al., Phys. Rev. Lett. 107, 252501 (2011). Crossref, Web of Science, ADS, Google Scholar
39. B. Boden et al., Z. Phys. C 49, 175 (1991). Crossref, Google Scholar
40. V. I. Zhaba, J. Phys. Stud. 20, 3101 (2016). Crossref, Google Scholar
41. M. Lacombe et al., Phys. Lett. B 101, 139 (1981). Crossref, Web of Science, ADS, Google Scholar
42. Y. A. Berezhnoy et al., Int. J. Mod. Phys. E 14, 1073 (2005). Link, ADS, Google Scholar
43. F. Cap and W. Gröbner, Nuovo Cimento 1, 1211 (1955). Crossref, Web of Science, Google Scholar
44. V. I. Zhaba, Rev. Mex. Fis. 67, 137 (2021). Crossref, Web of Science, Google Scholar
45. P. Doleschall, Nucl. Phys. A 602, 60 (1996). Crossref, Web of Science, ADS, Google Scholar
46. V. I. Zhaba, Electron. J. Theor. Phys. 13, 147 (2016). Google Scholar
47. C. Korber, A. Nogga and J. de Vries, Phys. Rev. C 96, 035805 (2017). Crossref, Web of Science, ADS, Google Scholar
48. R. G. Arnold, C. E. Carlson and F. Gross, Phys. Rev. C 21, 1426 (1980). Crossref, Web of Science, ADS, Google Scholar
49. M. A. Braun and M. V. Tokarev, Phys. Elem. Part. At. Nucl. 22, 1237 (1991). Google Scholar
50. T. W. Allen et al., Phys. Rev. C 63, 034002 (2001). Crossref, Web of Science, ADS, Google Scholar
51. H. Arenhovel, F. Ritz and T. Wilbois, Phys. Rev. C 61, 034002 (2000). Crossref, Web of Science, ADS, Google Scholar
52. P. J. Mohr, D. B. Newell and B. N. Taylor, Rev. Mod. Phys. 88, 035009 (2016). Crossref, Web of Science, Google Scholar
53. M. Kalinowski, Phys. Rev. A 99, 030501(R) (2019). Crossref, Web of Science, ADS, Google Scholar
54. D. R. Phillips, J. Phys. G 34, 365 (2007). Crossref, Web of Science, ADS, Google Scholar
55. R. J. Holt and R. Gilman, Rep. Prog. Phys. 75, 086301 (2012). Crossref, Web of Science, Google Scholar