Momentum transformation connecting a NN potential in the nonrelativistic and relativistic two-nucleon Schrodinger equation

被引：42

作者：

Kamada, H ^{[1
]}

Glockle, W ^{[1
]}

机构：

[1] Ruhr Univ Bochum, Inst Theoret Phys 2, D-44780 Bochum, Germany

来源：

PHYSICAL REVIEW LETTERS | 1998年 / 80卷 / 12期

关键词：

D O I：

10.1103/PhysRevLett.80.2547

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

An analytical relation between center of mass momenta in a nonrelativistic and a relativistic two-nucleon Schrodinger equation is proposed which allows analytically rewriting the two Schrodinger equations into each other. As a consequence a NN potential occurring in the relativistic Schrodinger equation can be gained from a nonrelativistic one by an analytical procedure. The S matrices in the two equations are exactly identical, and therefore the two-nucleon phase shifts are also.

引用

页码：2547 / 2549

页数：3

共 12 条

[1] RELATIVISTIC PARTICLE DYNAMICS .2. [J].

BAKAMJIAN, B ;

THOMAS, LH .

PHYSICAL REVIEW, 1953, 92 (05) :1300-1310

[2] VARIATIONAL MONTE-CARLO CALCULATIONS OF H-3 AND HE-4 WITH A RELATIVISTIC HAMILTONIAN [J].

CARLSON, J ;

PANDHARIPANDE, VR ;

SCHIAVILLA, R .

PHYSICAL REVIEW C, 1993, 47 (02) :484-497

[3] RELATIVISTIC EFFECTS IN PHENOMENOLOGICAL NUCLEON-NUCLEON POTENTIALS AND NUCLEAR-MATTER [J].

COESTER, F ;

PIEPER, SC ;

SERDUKE, FJD .

PHYSICAL REVIEW C, 1975, 11 (01) :1-18

[4]

FONG R, 1964, J MATH PHYS, V5, P596

[5] VARIATIONAL MONTE-CARLO CALCULATIONS OF H-3 AND HE-4 WITH A RELATIVISTIC HAMILTONIAN [J].

FOREST, JL ;

PANDHARIPANDE, VR ;

CARLSON, J ;

SCHIAVILLA, R .

PHYSICAL REVIEW C, 1995, 52 (02) :576-577

[6] RELATIVISTIC EFFECTS IN 3-BODY BOUND-STATES [J].

GLOCKLE, W ;

LEE, TSH ;

COESTER, F .

PHYSICAL REVIEW C, 1986, 33 (02) :709-716

[7]

KEISTER BD, 1991, ADV NUCL PHYS, V20, P225

[8]

Kruger A., NUCLTH9712043

[9] Nonlocal nature of the nuclear force and its impact on nuclear structure [J].

Machleidt, R ;

Sammarruca, F ;

Song, Y .

PHYSICAL REVIEW C, 1996, 53 (04) :R1483-R1487

[10] PARTIAL-WAVE ANALYSIS OF ALL NUCLEON-NUCLEON-SCATTERING DATA BELOW 350 MEV [J].

STOKS, VGJ ;

KLOMP, RAM ;

RENTMEESTER, MCM ;

DESWART, JJ .

PHYSICAL REVIEW C, 1993, 48 (02) :792-815

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