A CLASS OF BESSEL-FUNCTION INTEGRALS WITH APPLICATION IN PARTICLE PHYSICS

被引：13

作者：

GRANT, IP

QUINEY, HM

机构：

[1] Math. Inst., Oxford Univ.

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1993年 / 26卷 / 24期

关键词：

D O I：

10.1088/0305-4470/26/24/027

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Many problems in particle physics and held theory require the evaluation ofintegrals of the form I-l1,I-l2,I-l3(p1,p2,p3)=4(p1p2p3)/pi integral(0)(infinity)r(2)jl(1)(p1r)jl(2)(p2r)jl(3)(p3r)dr. Our investigation arose in connection with a new method of partial wave mass renormalization of the electron self-energy in quantum electrodynamics (QED) where these integrals play a crucial role. Previous studies appear not to have led to expressions which are readily computable. We derive an explicit formula for the general case and a recursive method of construction which allows us to generate all cases of practical interest to high precision. Our algorithms are highly efficient on scalar computers and readily vectorize on suitable machines.

引用

页码：7547 / 7562

页数：16

共 32 条

[1]

Abramowitz M., 1970, HDB MATH FUNCTIONS, P487

[2]

[Anonymous], 1968, ANGULAR MOMENTUM QUA

[3]

BAILEY WN, 1935, P LOND MATH SOC, V40, P37

[4] BASIS-SET APPROACH TO CALCULATING THE RADIATIVE SELF-ENERGY IN HIGHLY IONIZED ATOMS [J].

BLUNDELL, SA ;

SNYDERMAN, NJ .

PHYSICAL REVIEW A, 1991, 44 (03) :R1427-R1430

[5] LAMB SHIFT OF A TIGHTLY BOUND ELECTRON .2. CALCULATION FOR THE K-ELECTRON IN MERCURY [J].

BROWN, GE ;

MAYERS, DF .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1959, 251 (1264) :105-109

[6] LAMB SHIFT OF A TIGHTLY BOUND ELECTRON .1. METHOD [J].

BROWN, GE ;

LANGER, JS ;

SCHAEFER, GW .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1959, 251 (1264) :92-104

[7] SELF-ENERGY CORRECTIONS TO K-ELECTRON BINDING IN HEAVY AND SUPERHEAVY ATOMS [J].

CHENG, KT ;

JOHNSON, WR .

PHYSICAL REVIEW A, 1976, 14 (06) :1943-1948

[8] SCREENED LAMB SHIFT CALCULATIONS FOR LITHIUM-LIKE URANIUM, SODIUM-LIKE PLATINUM, AND COPPER-LIKE GOLD [J].

CHENG, KT ;

JOHNSON, WR ;

SAPIRSTEIN, J .

PHYSICAL REVIEW LETTERS, 1991, 66 (23) :2960-2963

[9] INTRINSIC STICKING IN DT MUON-CATALYZED FUSION - INTERPLAY OF ATOMIC, MOLECULAR AND NUCLEAR PHENOMENA [J].

DANOS, M ;

STAHLHOFEN, AA ;

BIEDENHARN, LC .

ANNALS OF PHYSICS, 1989, 192 (01) :158-203

[10] EVALUATION OF A CLASS OF INTEGRALS OCCURRING IN MATHEMATICAL PHYSICS VIA A HIGHER-ORDER GENERALIZATION OF THE PRINCIPAL VALUE [J].

DAVIES, KTR ;

DAVIES, RW .

CANADIAN JOURNAL OF PHYSICS, 1989, 67 (08) :759-765

← 1 2 3 4 →