Theoretical description of three- and four-nucleon scattering states using bound-state-like wave functions

被引：9

作者：

Kievsky, A. ^{[1
]}

Viviani, M. ^{[1
]}

Marcucci, L. E. ^{[1
,2
]}

机构：

[1] Ist Nazl Fis Nucl, I-56100 Pisa, Italy

[2] Univ Pisa, Dipartimento Fis, I-56100 Pisa, Italy

来源：

PHYSICAL REVIEW C | 2012年 / 85卷 / 01期

关键词：

FADDEEV CONTINUUM CALCULATIONS; VARIATIONAL METHOD;

D O I：

10.1103/PhysRevC.85.014001

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：

Bound-state-like wave functions are used to determine the scattering matrix corresponding to low-energy n-d and p-He-3 collisions. To this end, the coupled-channel form of the integral relations derived from the Kohn variational principle is used. The construction of degenerate bound-state-like wave functions belonging to the continuum spectrum of the Hamiltonian is discussed. Examples are shown using realistic nucleon-nucleon forces.

引用

收藏

页数：11

相关论文

共 30 条

[1] SCATTERING-AMPLITUDES AND INTEGRAL-EQUATIONS FOR THE COLLISION OF 2 CHARGED COMPOSITE-PARTICLES [J].

ALT, EO ;

SANDHAS, W .

PHYSICAL REVIEW C, 1980, 21 (05) :1733-1745

[2] Integral Relations for Three-Body Continuum States with the Adiabatic Expansion [J].

Barletta, P. ;

Romero-Redondo, C. ;

Kievsky, A. ;

Viviani, M. ;

Garrido, E. .

PHYSICAL REVIEW LETTERS, 2009, 103 (09)

[3] Benchmark calculation for proton-deuteron elastic scattering observables including the Coulomb interaction [J].

Deltuva, A ;

Fonseca, AC ;

Kievsky, A ;

Rosati, S ;

Sauer, PU ;

Viviani, M .

PHYSICAL REVIEW C, 2005, 71 (06)

[4] Momentum-space treatment of the Coulomb interaction in three-nucleon reactions with two protons [J].

Deltuva, A ;

Fonseca, AC ;

Sauer, PU .

PHYSICAL REVIEW C, 2005, 71 (05)

[5] Accurate charge-dependent nucleon-nucleon potential at fourth order of chiral perturbation theory [J].

Entem, DR ;

Machleidt, R .

PHYSICAL REVIEW C, 2003, 68 (04) :410011-410015

[6] Proton-3He elastic scattering at low energies [J].

Fisher, B. M. ;

Brune, C. R. ;

Karwowski, H. J. ;

Leonard, D. S. ;

Ludwig, E. J. ;

Black, T. C. ;

Viviani, M. ;

Kievsky, A. ;

Rosati, S. .

PHYSICAL REVIEW C, 2006, 74 (03)

[7] CONFIGURATION SPACE FADDEEV CONTINUUM CALCULATIONS - P-D S-WAVE SCATTERING LENGTH [J].

FRIAR, JL ;

GIBSON, BF ;

PAYNE, GL .

PHYSICAL REVIEW C, 1983, 28 (03) :983-994

[8] CONFIGURATION SPACE FADDEEV CONTINUUM CALCULATIONS - N-D S-WAVE SCATTERING LENGTHS WITH TENSOR-FORCE INTERACTIONS [J].

FRIAR, JL ;

GIBSON, BF ;

PAYNE, GL ;

CHEN, CR .

PHYSICAL REVIEW C, 1984, 30 (04) :1121-1129

[9] EXPANSION APPROACH TO SCATTERING [J].

HARRIS, FE .

PHYSICAL REVIEW LETTERS, 1967, 19 (04) :173-&

[10] COUPLED-REARRANGEMENT-CHANNEL GAUSSIAN-BASIS VARIATIONAL METHOD FOR TRINUCLEON BOUND-STATES [J].

KAMEYAMA, H ;

KAMIMURA, M ;

FUKUSHIMA, Y .

PHYSICAL REVIEW C, 1989, 40 (02) :974-987