Studying Bound States of some Halo Nuclei

Authors

Abstract

In this paper, we assumed the Halo nucleus consist of a nuclear core and two neutrons in the framework of the cluster model, and we wrote the Hamiltonian that expresses the relative motion of nucleons in the cluster model using Jacobi coordinates. The above radius was determined in supra-spherical polar coordinates. We get Fadeev's equations by switching the wave function in the Schrödinger equation. The calculations were carried out for the T-form of Borromean  halo nuclei with the model (core + two neutrons). The values are in agreement to the experimental values.

 

References

SB Doma, UNITARY SCHEME MODEL STUDY OF HE-4 WITH THE GOGNY, PIRES AND DETOURREIL INTERACTION. Helvetica Physica Acta 58 (6), 1985,1072-1077‏.

SB Doma, MM Amin‏.The single particle Schroedinger fluid and moments of inertia of the nuclei 24 Mg, 25 Al, 27 Al, 183 W and 238 Pu‏.International Journal of Modern Physics E 11 (05), 2002,455-461‏.

SB Doma, NA El-Nohy, KK Gharib, The ground-state characteristics of deuteron using Gaussian potentials‏.Helvetica Physica Acta 69 (2), 1996,90-104‏.

TI Kopalejshvili, IZ Machabeli, SB Doma‏,Study on the A= 6 nuclei in basis of the unitarity scheme model‏. Yadernaya Fizika 21 (4), 1975,720-729‏.

SB Doma‏, Single Particle Schrödinger Fluidand Moments‏.高能物理与核物理 26 (8), 2002,836-842‏.

SB Doma , Ground state characteristics of the light nuclei with A≤ 6 on the basis of the translation invariant shell model by using nucleon-nucleon interaction‏. High Energy Physics and Nuclear Physics 26 (9), 2002, 941-948‏.

SB Doma, Unitary scheme model calculations of a= 6 nuclei with realistic interactions‏. Ukrayins' kij Fyizichnij Zhurnal 42 (3),1997, 279-287‏.

SB Doma‏, Unitary scheme model study of triton with the Hu and Massey potential‏. Indian Journal of Pure and Applied Mathematics 13 (12), 1982,1455-1459‏.

SM Salem, SB Doma‏,The binding energy for S-state wave function for triton.‏Bull. Fac. Sci. Alexandria 11, 17, 1971.

SB Doma, IS Ismail , Calculations of the Binding States In Deformed Nuclei‏. ‏Bulletin of the Faculty of Science 25 (1), 1985,69‏.

SB Doma, H.A.Salman, a.d. TFIHA, The quadrupole moments of the deformed nuclei in the p-shel, , Tishreen University Journal for Studies and Scientific Research 25 (1), 2003

TFIHA, Amir Drwish. Calculations of Rotational States of 16O Nucleus in The Framework of Coupled-Cluster Model. Tishreen University Journal-Basic Sciences Series, 2015, 37.1

TFIHA, Amir Drwish. Calculation The Potential Energy Surface of The Nucleus 201 Tl By Strutinsky Method. Tishreen University Journal-Basic Sciences Series, 2015, 37.2.

ALI, Wadiaa; TFIHA, Amir. Using some Functional Analysis methods in studying small motions of a system of heavy viscous fluids. Al-baath University Journal, 2014.

DOMA, S. B.; SALMAN, H. A.; TFIHA, A. D. Single particle motion and moments of inertia of deformed nuclei. Tishreen University Journal for Studies and Scientific Research, 2000, 22.9: 243-255

TFIHA, Amir, et al. Studying Small Oscillations of Spin Vector of The Ferromagnetic With Spin S= 1. Tishreen University Journal-Basic Sciences Series, 2014, 36.5

TFIHA, Amira. Studying Coriolis Effect for some odd nuclei. Tishreen University Journal-Basic Sciences Series, 2017, 39.3.

TFIHA, Amir Drwish. Calculations of Rotational States of 16O Nucleus in The Framework of Coupled-Cluster Model. Tishreen University Journal-Basic Sciences Series, 2015, 37.1

TFIHA, Amir Drwish. Calculation The Potential Energy Surface of The Nucleus 201 Tl By Strutinsky Method. Tishreen University Journal-Basic Sciences Series, 2015, 37.2.

Tfiha, A. D. (2019) “Calculations of Rotational States of 16O Nucleus in The Framework of Coupled-Cluster Model”, Tishreen University Journal -Basic Sciences Series, 37(1).

Published

2021-07-03

How to Cite

1.
تفيحة أ. Studying Bound States of some Halo Nuclei . TUJ-BA [Internet]. 2021Jul.3 [cited 2024Oct.10];40(3). Available from: https://journal.tishreen.edu.sy/index.php/bassnc/article/view/10696