Question: Who wrote Peter and Gordon's biggest hit, "A World Without Love"?

full_context: Document 1: Nobody I Know: Nobody I Know is a song written by Paul McCartney (attributed to Lennon–McCartney) which Peter and Gordon recorded in an April 1964 Abbey Road Studio session: Peter and Gordon had had a UK/US #1 hit with the McCartney composition "A World Without Love" and McCartney wrote "Nobody I Know" with the specific intent of providing a follow-up hit for the duo. The track reached #10 UK and #12 US.
Document 2: A World Without Love (Eddie Rabbitt song): "A World Without Love" is a song co-written and recorded by American country music artist Eddie Rabbitt. It was released in October 1985 as the first single from the album "Rabbitt Trax". The song reached number 10 on the "Billboard" Hot Country Singles & Tracks chart. It was written by Rabbitt, Even Stevens and Phil Galdston.
Document 3: Silly Love Songs: "Silly Love Songs" is a song written by Paul McCartney and Linda McCartney and performed by Wings. The song appears on the 1976 album "Wings at the Speed of Sound." It was also released as a single in 1976, backed with "Cook of the House". The song, written in response to music critics accusing him of writing only "silly love songs", also features disco overtones.
Document 4: Love in Song: "Love in Song" is a song credited to Paul and Linda McCartney that was released on Wings' 1975 album "Venus and Mars". It was also released as the B-side of Wings' number 1 single "Listen to What the Man Said." It has been covered by artists such as Helen Merrill and The Judybats.
Document 5: A World Without Love: "A World Without Love" is a song recorded by the English duo Peter and Gordon and released as their first single in February 1964. It was included on the duo's debut album in the UK, and in the US on an album of the same name. The song was written by Paul McCartney and attributed to Lennon–McCartney. The B-side was "If I Were You", written by Peter and Gordon.
Document 6: She Loves You: "She Loves You" is a song written by John Lennon and Paul McCartney and recorded by English rock group the Beatles for release as a single in 1963. The single set and surpassed several records in the United Kingdom charts, and set a record in the United States as one of the five Beatles songs that held the top five positions in the American charts simultaneously on 4 April 1964. It is their best-selling single and the best selling single of the 1960s in the United Kingdom.
Document 7: No Words: "No Words" is a song written by Paul McCartney and Denny Laine, and first released on 7 December 1973 on "Band on the Run" by Paul McCartney and Wings. The song was Laine's first co-writing on a Wings album and his only writing credit on "Band on the Run".
Document 8: Something (Beatles song): "Something" is a song by the Beatles, written by George Harrison and released on the band's 1969 album "Abbey Road". It was also issued as a single coupled with another track from the album, "Come Together". "Something" was the first Harrison composition to appear as a Beatles A-side, and the only song written by him to top the US charts before the band's break-up in April 1970. The single was also one of the first Beatles singles to contain tracks already available on an LP album.
Document 9: Lennon–McCartney: Lennon–McCartney was the songwriting partnership between English musicians John Lennon (9 October 19408 December 1980) and Paul McCartney (born 18 June 1942) of the Beatles. It is one of the best known and most successful musical collaborations in history, with the Beatles selling over 600 million records, tapes and CDs as of 2004. Between 1962 and 1969, the partnership published approximately 180 jointly credited songs, of which the vast majority were recorded by the Beatles, forming the bulk of their catalogue.
Document 10: Peter and Gordon: Peter and Gordon were a British pop duo, composed of Peter Asher (b. 1944) and Gordon Waller (1945–2009), who achieved international fame in 1964 with their first single, the million-selling transatlantic No.1 smash "A World Without Love". The duo had several subsequent hits in the British Invasion-era.
Document 11: Peter Asher: Peter Asher CBE (born 22 June 1944) is a British guitarist, singer, manager and record producer. He first came to prominence in the 1960s as a member of the pop music vocal duo Peter and Gordon, before going on to a successful career as a manager and record producer.
Document 12: Pete Ham: Peter William Ham (27 April 1947 – 24 April 1975) was a Welsh singer, songwriter and guitarist, best known as the lead vocalist/composer of the 1970s rock band Badfinger whose hit songs include "No Matter What", "Day After Day" and "Baby Blue." He also co-wrote the ballad "Without You", a worldwide Number One hit for Harry Nilsson and it has become a standard song as covered by hundreds of artists consistently throughout the years since. Ham was granted two Ivor Novello Awards related to the song in 1973.
Document 13: Hello, Goodbye: "Hello, Goodbye" is a song by the English rock band the Beatles, written by Paul McCartney and credited to Lennon–McCartney. Backed by John Lennon's "I Am the Walrus", it was issued as a non-album single in November 1967, the group's first release since the death of their manager, Brian Epstein. The single was commercially successful around the world, topping charts in the United States, the United Kingdom, Canada, Australia and several other countries.
Document 14: Gordon Waller: Gordon Trueman Riviere Waller (4 June 1945 – 17 July 2009) was a British singer–songwriter–guitarist, best known as Gordon of the 1960s pop music duo Peter and Gordon, whose biggest hit was the No. 1 million-selling classic "A World Without Love".
Document 15: Lost Without Your Love (song): "Lost Without Your Love" is a song written and composed by David Gates, and originally recorded by the pop-rock group Bread, of which Gates was the leader and primary music producer. It is the title track of Bread's 1976 album, and became their final Top 10 hit.
ground_truth: Paul McCartney