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According to SIC-X, a more rigorous calculating method, we propose a self-consistent field mode with the Rydberg exchange parameters. Using this method to calculate nuclear polarization, the result is more accurate than that given by Chen et al. Besides, when they calculated P238U energy level transition, their model is likely to be imperfect and maybe has some defects that are hard to overcome. And their result is likely to be inaccurate. In the early 70s of 20th century, Batty performed the exploration of optical model potential, and after more than twenty times of exploring and improving, he finally presented a correct form of optical model potential. When a self-consistent field model for Rydberg exchange parameters is used to calculate nuclear polarization, we use this method to correct Batty's nuclear polarization under optical model potential and the P238U energy level transition. We obtain the energy levels of antiproton atoms. The result is exactly the same as the experimental result. This result together with the case of -, K-, - and - atoms supports the correctness of optical model potential of Batty's description of the strong interaction between nucleons. At the same time, it also shows the correctness of the method of calculating nuclear polarization. It provides a theoretical basis for further study and application of antiparticle atoms and exoticac atoms.
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Keywords:
- antiproton atoms /
- optical model potential of Batty /
- Rydberg electrons /
- nuclear polarization
[1] Friedmn E, Gal A 1980 Nucl. Phys. A 345 457
[2] Friedman E, Gal A, Batty C J 1993 Phys. Lett. B 208 6
[3] Batty C J 1995 Nucl. Phys. A 585 229
[4] Friedman E 1998 Nucl. Phys. A 639 511
[5] Noumi H 2003 Nucl. Phys. A 721 995c
[6] Toki H, Hirenzakki S, Yamazaki T, Hayano R S 1989 Nucl. Phys. A 501 653
[7] Batty C J, Friedman E, Gal A 1999 Phys. Rev. C 59 295
[8] Wang B Z, Fang M, Li J X 2010 J. Ningxia Univ. (Nat. Sci. Ed.) 31 35 (in Chinese) [王炳章, 方明, 李金鑫 2010 宁夏大学学报(自然科学版) 31 35]
[9] Wiese W L 1978 Progress in Atomic Spectroscopy Part B (New York and London: Plenum Press) p1101
[10] Tanaka Y, Horikawa Y 1994 Nucl. Phys. A 580 291
[11] Pershin Y V 2004 Phys. Rev. B 69 085314
[12] Wang B Z, You Y M, Wang J Y 2011 J. Ningxia Univ. (Nat. Sci. Ed.) 32 30 (in Chinese) [王炳章, 游阳明, 张学龙 2011 宁夏大学学报(自然科学版) 32 30]
[13] He L M, Wang B K, Jin Q Y 1994 J. East. Chin. Univ. Sci. Tech. 20 390 (in Chinese) [贺黎明, 王炳奎, 金乾元 1994 华东理工大学学报 20 390]
[14] Ericson T E O, Hüfner J 1972 Nucl. Phys. B 47 205
[15] Chen M Y, Asano Y, Cheng S C, Dugan G, Hu E, Lidofsky L, Patton W, Wu C S, Hughes V, Lu D 1975 Nucl. Phys. A 254 413
[16] Aguilar-Benitez M 1986 Phys. Lett. B 170 1
[17] Wayne Fullerton L, Rinker Jr G A 1976 Phys. Rev. A 13 1283
[18] Batty C J, Friedman E, Gal A 1995 Nucl. Phys. A 592 487
[19] Batty C J, Friedman E, Gal A 1997 Phys. Reports 287 385
[20] Perdew J P, Zunger A 1981 Phys. Rev. B 23 5048
[21] Cole L A, Perdew J P 1982 Phys. Rev. A 25 1265
[22] He L M, Lu H, Yang Y 2002 Chin. J. At. Mol. Phys. 19 316 (in Chinese) [贺黎明, 陆慧, 杨越 2002 原子与分子 19 316]
[23] Johnson W R, Kolb D, Huang G K N 1983 Atomic Data and Nuclear Data Tables 28 333
[24] Migdalek J, Kim Y K 1998 J. Phys. B: At. Mol. Opt. Phys. 31 1947
[25] He L M, Yang Y, Lu H 2003 Acta Phys. Sin. 52 1385 (in Chinese) [贺黎明, 杨樾, 陆慧 2003 52 1385]
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[1] Friedmn E, Gal A 1980 Nucl. Phys. A 345 457
[2] Friedman E, Gal A, Batty C J 1993 Phys. Lett. B 208 6
[3] Batty C J 1995 Nucl. Phys. A 585 229
[4] Friedman E 1998 Nucl. Phys. A 639 511
[5] Noumi H 2003 Nucl. Phys. A 721 995c
[6] Toki H, Hirenzakki S, Yamazaki T, Hayano R S 1989 Nucl. Phys. A 501 653
[7] Batty C J, Friedman E, Gal A 1999 Phys. Rev. C 59 295
[8] Wang B Z, Fang M, Li J X 2010 J. Ningxia Univ. (Nat. Sci. Ed.) 31 35 (in Chinese) [王炳章, 方明, 李金鑫 2010 宁夏大学学报(自然科学版) 31 35]
[9] Wiese W L 1978 Progress in Atomic Spectroscopy Part B (New York and London: Plenum Press) p1101
[10] Tanaka Y, Horikawa Y 1994 Nucl. Phys. A 580 291
[11] Pershin Y V 2004 Phys. Rev. B 69 085314
[12] Wang B Z, You Y M, Wang J Y 2011 J. Ningxia Univ. (Nat. Sci. Ed.) 32 30 (in Chinese) [王炳章, 游阳明, 张学龙 2011 宁夏大学学报(自然科学版) 32 30]
[13] He L M, Wang B K, Jin Q Y 1994 J. East. Chin. Univ. Sci. Tech. 20 390 (in Chinese) [贺黎明, 王炳奎, 金乾元 1994 华东理工大学学报 20 390]
[14] Ericson T E O, Hüfner J 1972 Nucl. Phys. B 47 205
[15] Chen M Y, Asano Y, Cheng S C, Dugan G, Hu E, Lidofsky L, Patton W, Wu C S, Hughes V, Lu D 1975 Nucl. Phys. A 254 413
[16] Aguilar-Benitez M 1986 Phys. Lett. B 170 1
[17] Wayne Fullerton L, Rinker Jr G A 1976 Phys. Rev. A 13 1283
[18] Batty C J, Friedman E, Gal A 1995 Nucl. Phys. A 592 487
[19] Batty C J, Friedman E, Gal A 1997 Phys. Reports 287 385
[20] Perdew J P, Zunger A 1981 Phys. Rev. B 23 5048
[21] Cole L A, Perdew J P 1982 Phys. Rev. A 25 1265
[22] He L M, Lu H, Yang Y 2002 Chin. J. At. Mol. Phys. 19 316 (in Chinese) [贺黎明, 陆慧, 杨越 2002 原子与分子 19 316]
[23] Johnson W R, Kolb D, Huang G K N 1983 Atomic Data and Nuclear Data Tables 28 333
[24] Migdalek J, Kim Y K 1998 J. Phys. B: At. Mol. Opt. Phys. 31 1947
[25] He L M, Yang Y, Lu H 2003 Acta Phys. Sin. 52 1385 (in Chinese) [贺黎明, 杨樾, 陆慧 2003 52 1385]
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