Analytical solution of relativistic three-body bound systems

被引：10

作者：

Aslanzadeh, M. ^{[1
]}

Rajabi, A. A. ^{[1
]}

机构：

[1] Shahrood Univ Technol, Dept Phys, Shahrood, Iran

来源：

EUROPEAN PHYSICAL JOURNAL A | 2014年 / 50卷 / 10期

关键词：

KLEIN-GORDON EQUATION; SCHRODINGER-EQUATION; STATE SOLUTIONS; MODEL;

D O I：

10.1140/epja/i2014-14151-5

中图分类号：

O57 [原子核物理学、高能物理学];

学科分类号：

070202 ;

摘要：

In this paper we have investigated in detail the relativistic three-body bound states. We carried out calculations in six-dimensional representation on the basis of the Jacobi coordinates. The obtained second-degree differential equation is solved by using the Nikiforov-Uvarov method and the energy eigenvalues are obtained. Consequently we obtained the binding energy of the three-nucleon bound system. Here we used the generalized Woods-Saxon spin-independent potential in our calculations. The dependence of the three-body binding energy on the potential parameters is also investigated.

引用

页数：6

共 29 条

[1]

[Anonymous], 1988, Special functions of mathematical physics

[2] Three-body problem in quantum mechanics: Hyperspherical elliptic coordinates and harmonic basis sets [J].

Aquilanti, V ;

Tonzani, S .

JOURNAL OF CHEMICAL PHYSICS, 2004, 120 (09) :4066-4073

[3] ANALYTICAL SOLUTIONS OF THE SCHRODINGER EQUATION WITH THE WOODS-SAXON POTENTIAL FOR ARBITRARY l STATE [J].

Badalov, V. H. ;

Ahmadov, H. I. ;

Ahmadov, A. I. .

INTERNATIONAL JOURNAL OF MODERN PHYSICS E-NUCLEAR PHYSICS, 2009, 18 (03) :631-641

[4] APPLICATION OF THE HYPERSPHERICAL FORMALISM TO THE TRINUCLEON BOUND-STATE PROBLEMS [J].

BALLOT, JL ;

FABREDELARIPELLE, M .

ANNALS OF PHYSICS, 1980, 127 (01) :62-125

[5] Polynomial solutions of the Schrodinger equation for the generalized Woods-Saxon potential [J].

Berkdemir, C ;

Berkdemir, A ;

Sever, R .

PHYSICAL REVIEW C, 2005, 72 (02)

[6] Exact bound state solutions of the s-wave Klein-Gordon equation with the generalized Hulthen potential [J].

Chen, G ;

Chen, ZD ;

Lou, ZM .

PHYSICS LETTERS A, 2004, 331 (06) :374-377

[7] Two center shell model with Woods-Saxon potentials: Adiabatic and diabatic states in fusion [J].

Diaz-Torres, A ;

Scheid, W .

NUCLEAR PHYSICS A, 2005, 757 (3-4) :373-389

[8] BOUND-STATES OF THE KLEIN GORDON EQUATION WITH VECTOR AND SCALAR HULTHEN-TYPE POTENTIALS [J].

DOMINGUEZADAME, F .

PHYSICS LETTERS A, 1989, 136 (4-5) :175-177

[9] The Woods-Saxon potential with point interactions [J].

Erkol, Hakan ;

Demiralp, Ersan .

PHYSICS LETTERS A, 2007, 365 (1-2) :55-63

[10] Supersymmetry approaches to the bound states of the generalized Woods-Saxon potential [J].

Fakhri, H ;

Sadeghi, J .

MODERN PHYSICS LETTERS A, 2004, 19 (08) :615-625

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