Threshold pp → ppπ0 up to one-loop accuracy

被引:29
作者
Ando, S [1 ]
Park, TS
Min, DP
机构
[1] Univ S Carolina, Dept Phys & Astron, Columbia, SC 29208 USA
[2] TRIUMF, Theory Grp, Vancouver, BC V6T 2A3, Canada
[3] Seoul Natl Univ, Dept Phys, Seoul 151742, South Korea
基金
美国国家科学基金会;
关键词
D O I
10.1016/S0370-2693(01)00433-6
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The pp --> pp pi (0) cross section near threshold is computed up to one-loop order including the initial and final state interactions using the hybrid heavy baryon chiral perturbation theory and the counting rule a la Weinberg. With the counter terms whose coefficients are fixed by the resonance-saturation assumption, we find that the one-loop contributions are as important as the tree-order contribution and bring the present theoretical estimation of the total cross section close to the experimental data. The short-ranged contributions are controlled by means of a cutoff, and a mild cutoff dependence is observed when all diagrams of the given chiral order are summed. To the order treated, however, the expansion is found to converge rather slowly, calling for further studies of the process. (C) 2001 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:253 / 262
页数:10
相关论文
共 41 条
[1]   CHIRAL DYNAMICS IN NUCLEONS AND NUCLEI [J].
BERNARD, V ;
KAISER, N ;
MEISSNER, UG .
INTERNATIONAL JOURNAL OF MODERN PHYSICS E, 1995, 4 (02) :193-344
[2]   Novel approach to pion and eta production in proton-proton collisions near threshold [J].
Bernard, V ;
Kaiser, N ;
Meissner, UG .
EUROPEAN PHYSICAL JOURNAL A, 1999, 4 (03) :259-275
[3]   Aspects of chiral pion-nucleon physics [J].
Bernard, V ;
Kaiser, N ;
Meissner, UG .
NUCLEAR PHYSICS A, 1997, 615 (04) :483-500
[4]   The reaction pi N->pi pi N at threshold in chiral perturbation theory [J].
Bernard, V ;
Kaiser, N ;
Meissner, UG .
NUCLEAR PHYSICS B, 1995, 457 (1-2) :147-172
[5]   THE PP-]PP-PI(0) REACTION NEAR THE KINEMATICAL THRESHOLD [J].
BONDAR, A ;
CALEN, H ;
CARIUS, S ;
EKSTROM, C ;
FRANSSON, K ;
GUSTAFSSON, L ;
HAGGSTROM, S ;
HOISTAD, B ;
JOHANSSON, A ;
JOHANSSON, T ;
KILIAN, K ;
KULLANDER, S ;
KUPSC, A ;
KUZMIN, A ;
MOROSOV, B ;
MORTSELL, A ;
OELERT, W ;
POVTOREJKO, A ;
REISTAD, D ;
RUBER, R ;
SANDUKOVSKY, S ;
SCHUBERTH, U ;
SHWARTZ, B ;
STEPANIAK, J ;
SUKHANOV, A ;
TCHERNYSHEV, V ;
WATERS, M ;
WILHELMI, Z ;
ZABIEROWSKI, J ;
ZLOMANCZUK, J .
PHYSICS LETTERS B, 1995, 356 (01) :8-12
[6]   Isoscalar M1 and E2 amplitudes in np → dγ [J].
Chen, JW ;
Rupak, G ;
Savage, MJ .
PHYSICS LETTERS B, 1999, 464 (1-2) :1-11
[7]   pp->pp pi(0) reaction near threshold: A chiral power counting approach [J].
Cohen, TD ;
Friar, JL ;
Miller, GA ;
van Kolck, U .
PHYSICAL REVIEW C, 1996, 53 (06) :2661-2673
[8]   NN→NN π+ reaction near threshold in a chiral power counting approach -: art. no. 034613 [J].
da Rocha, CA ;
Miller, GA ;
van Kolck, U .
PHYSICAL REVIEW C, 2000, 61 (03) :12
[9]   A next-to-next-to-leading-order pp → ppπ0 transition operator in chiral perturbation theory [J].
Dmitrasinovic, V ;
Kubodera, K ;
Myhrer, F ;
Sato, T .
PHYSICS LETTERS B, 1999, 465 (1-4) :43-54
[10]   THE ROLE OF RESONANCES IN CHIRAL PERTURBATION-THEORY [J].
ECKER, G ;
GASSER, J ;
PICH, A ;
DERAFAEL, E .
NUCLEAR PHYSICS B, 1989, 321 (02) :311-342