The upper and lower bounds of energy for nuclear and coulomb few-body systems

被引：5
作者：
Donchev A.G. [1 ]
Kalachev S.A. [1 ]
Kolesnikov N.N. [1 ]
Tarasov V.I. [1 ]
机构：
[1] Faculty of Physics, Moscow State University, Moscow
来源：
Physics of Particles and Nuclei Letters | 2007年 / 4卷 / 1期
关键词：
21.10.Dr; 21.45.+v; 45.50.Jf;
D O I：
10.1134/S1547477107010074
中图分类号：
学科分类号：
摘要：
The upper and lower bounds of energy are found for three-, four-, and five-particle nuclear and Coulomb systems in the framework variational method with the trial functions of exponential and Gaussian types. The two-sided estimates of energy not only allow one to fix the limits for the exact value of energy but also provide an additional opportunity for extrapolation of the variational estimates to the exact value of energy. This allows one to reduce the volume of calculations by shortening the number of trial functions without the loss of accuracy. © Pleiades Publishing, Ltd. 2007.
引用
收藏
页码：39 / 45
页数：6
相关论文
共 21 条
  • [11] Basdevent J., Et al., Optimized Lower Bounds in the Three-Body Problem, Nucl. Phys. B, 393, pp. 111-125, (1993)
  • [12] Baker G.A., Et al., Exact Numerical Solution of a Three-Body Ground-State Problem, Phys. Rev., 125, pp. 1754-1758, (1962)
  • [13] Kolesnikov N.N., Tarasov V.I., Starosotnikov M.I., Calculation Variational Method of Many-particle Systems in Natural Coordinates, Dep. VINITI 3822-80, (1980)
  • [14] Donchev A.G., Kolesnikov N.N., Tarasov V.I., Upper and Low Variational Estimations in Calculations of Three-Particle Systems with Exponential Test Functions, Vestn. Mosk. Un-ta, Ser. Fiz. Astron., 2, pp. 15-18, (1981)
  • [15] Ali S., Bodmer A.R., Phenomenological α-α-Potentials, Nucl. Phys. A, 80, pp. 99-112, (1966)
  • [16] Kolesnikov N.N., Tarasov V.I., Phenomenological NN-Potential in Few-Nucleon Systems, Izv. Akad. Nauk SSSR, Ser. Fiz., 45, pp. 2183-2188, (1981)
  • [17] Kolesnikov N.N., Kalachev S.A., Tarasov V.I., ∧N-Potential from Analysis of Binding Energies of Hypernuclei and ∧∧ p -Scattering, Eur. Few Body XIX Conf. Handbook, (2004)
  • [18] Kolesnikov N.N., Kalachev S.A., Hypernuclei and Interaction of ∧N and ∧∧, Preprint No. 18/2004, (2004)
  • [19] Kukulin V.I., Krasnorolsku V.M., A Stoshastis Method of Basis Optimization for Variation Calculations of Many-particle Systems, Izv. Akad. Nauk SSSR, Ser. Fiz., 39, pp. 535-542, (1975)
  • [20] Delves L.M., Variational Techniques on the Nuclear Three-Body Problem, Adv. Nucl. Phys., 5, pp. 1-224, (1973)
123